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31 |
Marine Science |
ABS-15 |
Impact of environmental factors on phytoplankton community structure from two different river estuaries, South Sumatra, Indonesia Rozirwan (a*), Aulia Balkis (a), Nadila Nur Khotimah (b), Riris Aryawati (a), Fauziyah (a), Wike Ayu Eka Putri (a), Redho Yoga Nugroho (b)
aDepartment of Marine Science, Faculty of Mathematics and Natural Sciences, University of Sriwijaya, Indralaya, South Sumatra, Indonesia, 30862
bEnvironmental Management Study Program, Graduate Program, University of Sriwijaya, Palembang, Indonesia, 30139
Abstract
Environmental factors can influence the community structure of phytoplankton in water. This study aimed to analyze the abundance, diversity, evenness, and dominance of phytoplankton from the Musi and Banyuasin River estuaries, which are influenced by environmental factors. The study was carried out by collecting environmental water quality data at twelve observation stations. The water samples were collected by a plankton net of 20 um. The statistical analysis used was analysis of variance (ANOVA) and principal component analysis (PCA). The phytoplankton was grouped into three classes including Bacillariophyceae, Cyanophyceae, and Dinophyceae. The Musi River estuary has phytoplankton abundance range of 23 to 39 cell/L, low diversity, high evenness, and not dominance. The Banyuasin River estuary had phytoplankton abundance range of 27 to 441 cell/L, low diversity, moderate evenness, and dominance. Based on ANOVA, the abundance and quality of environmental parameters in the two river estuaries were not significantly different. The results of the PCA analysis showed that there was a correlation between the environmental parameters and the phytoplankton abundance and diversity in the Musi estuary, which was characterized by salinity, pH, and phosphate. Meanwhile, the Banyuasin estuary was characterized by current speed and light intensity. The environmental factors at the two river estuaries showed suitable quality for the growth and development of phytoplankton.
Keywords: Banyuasin Estuary, Community Structure, Environmental Factors, Musi Estuary, Phytoplankton
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| Corresponding Author (Rozirwan Rozirwan)
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32 |
Marine Science |
ABS-19 |
Variability of Total Suspended Solid Using Medium Resolution Imagery (Landsat 8 OLI) in Coastal Waters of Banyuasin Regency, South Sumatera Province Andi Agussalim(a), Sigit Heru Murti (b*), Langgeng Wahyu Santosa (b)
a) Doctoral Program Student of Geography, Faculty of Geography, Universitas Gadjah Mada,Yogyakarta,Indonesia
Department of Marine Science, FMIPA, University of Sriwijaya, Palembang,South Sumatera, Indonesia
b) Faculty of Geography, Universitas Gadjah Mada,Yogyakarta, Indonesia
* Corresponding author: sigit.heru.m[at]ugm.ac.id
Abstract
Total suspended solids (TSS) are an important biogeochemical parameter for water quality monitoring. Their distribution and deposition have a great impact on marine ecological environments. TSS can be used as one of the parameters to determine the potential fishing ground habitat. TSS concentrations that are elevated can hinder the growth of producer organisms. High levels of suspended solids, especially fine ones, are widely considered harmful to fish, and particles are known to damage gill structures and increase stress levels in fish. Therefore, the temporal and spatial change of suspended sediment concentration is an important issue in coastal and seawater research. This study aim to analyze and map the spatio-temporal distribution of TSS in coastal water of Banyuasin from medium resolution imagery (Landsat 8 OLI). The images used consist of images recorded on September 19, 2019, December 30, 2019, April 20, 2020, and July 20, 2020. The results showed that the distribution of TSS was spatio-temporally different in the study area. TSS in transitional season II is 132.76 mg/l -396.33 mg/l, west season ranges from 67.732 mg/l - 375.64 mg/l, transitional season I 33.41 mg/l - 235.16 mg/l, and in east season ranges from 97.73 mg/l - 297. mg/l.
Keywords: Total suspended solids (TSS)- Medium resolution imagery- Coastal waters
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| Corresponding Author (Andi Agussalim)
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33 |
Marine Science |
ABS-25 |
Sedimentary Facies and Reservoir Characteristics of the Meligan Formation in Lawas, Sarawak: Elucidating Pore Imaging Using the J-Por Method MUHD NUR ISMAIL ABDUL RAHMAN, DONY ADRIANSYAH NAZARUDDIN, MOHAMAD AQIL AZMI BIN MOHD RASEDI
Faculty of Science and Marine Environment,
Universiti Malaysia Terengganu,
21030, Kuala Nerus,
Terengganu, Malaysia.
Abstract
The research area is situated in the Lawas region of northern Sarawak, Malaysia. Our observations were primarily focused on selected outcrops along road cuts and exposed hills. These outcrops are widely distributed in several localities within the Lawas region. We identified sedimentary sequences by examining facies variations, indicating a shoreline environment based on the sedimentary structures. Additionally, we processed thin sections of rock samples using Image-J software to determine the porosity of the sampled rocks and predict their reservoir potential. In our study area, we successfully identified and characterized five distinct facies namely, Facies 1: Planar Cross-Stratified Sandstone (PcS), Facies 2: Swaley Cross-Stratified Sandstone (ScS), Facies 3: Hummocky Cross-Stratified Sandstone (HcS), Facies 4: Parallel Laminated Sandstone (Pl), Facies 5: Heterolithic Rock (He). Our facies evaluation revealed that these sedimentation settings corresponded to foreshore, upper shoreface, middle shoreface, lower shoreface, and tidal environments (with minor occurrences). Furthermore, the petrographic analysis of thin sections of facies 1, 2 and 3 demonstrated good to very good porosity values, ranging from 14.324% to 25.920%. This porosity range suggests a promising reservoir potential for hydrocarbon accumulation in the Meligan Formation. The stratigraphic units of the paralic system in Sarawak, which may potentially host hydrocarbon reservoirs, have been shaped by a wide range of depositional processes. These processes reflect the distribution of sediment, the characteristics of the receptacle basin, and the dynamics of depositional systems. As a result, a thick Miocene paralic sequence has formed, with abundant evidence of wave-dominated facies, indicating the probable presence of hydrocarbon reservoir potential.
Keywords: Facies, Meligan Formation, porosity, hydrocarbon
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| Corresponding Author (Muhd Nur Ismail Abdul Rahman)
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34 |
Mathematics and Its Applications |
ABS-2 |
Comparison of Graphical Representation of Simple and Multiple Correspondence Analysis Results on the Category of Factors Related to Farmers Status in Using Reductant Herbicide Irmeilyana (a*), Bambang Suprihatin (a), Oki Dwipurwani (a), Nisa Nur Aisyah (a), Anita Desiani (a)
a) Faculty of Mathematics and Natural Sciences, University of Sriwijaya,
*) irmeilyana[at]unsri.ac.id
Abstract
Reductants are used to reduce herbicide use on weed control. Based on the results of Simple Correspondence Analysis (SCA) in previous studies, factors that significantly influence the use of reductants include farmer education, tree age, number of workers outside the family, length of harvest, frequency of herbicide use, frequency of the use of chemical fertilizer and organic fertilizer. This study aims to graphically represent the factors associated with the status of farmers as users or non-users of reductant herbicides using multiple correspondence analysis (MCA). The similarity of SCA and MCA results lies in the position of coordinate points for the user and the new user to all education categories points, and also to points of all tree age categories except for Age 1, the position of coordinate point of the user to the points of categories of number of workers outside the family, the position of points of the new user and the user to the harvest period categories, and the point position of the new user to the frequency of herbicide use categories. Meanwhile, on the position of coordinate points of frequency of use of chemical fertilizers and organic fertilizers categories, there is no similarity in the results of the graphs of the two analyzes.
Keywords: Coffee production- graphical representation- Multiple Correspondence Analysis- Reductant Herbicide- Pagaralam Coffee Farmers
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| Corresponding Author (Irmeilyana Irmeilyana)
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35 |
Mathematics and Its Applications |
ABS-3 |
Set Covering Problem with the Reduction Heuristic Method in Determining Garbage TPS Locations in Semambu Island Village South Sumatra Fitri Maya Puspita, Novi Rustiana Dewi, Evi Yuliza, Sisca Octarina and Yulia Anisawati
Universitas Sriwijaya
Abstract
This study discusses the Set Covering Problem (SCP) in determining the optimal location of the Temporary Disposal Site (TDS) in Pulau Semambu Village. The data used in this study are hamlet name data, garbage TPS name data, defining variables for each model, and distance measurement data between TDS. Semambu Island Village consists of 6 hamlets with 12 waste disposal sites. Optimization of TDS in Semambu Island Village was carried out using the Location Set Covering Problem (LSCP) and P-Median Problem models with the help of LINGO 13.0 Software and using the Reduction Heuristic. This study uses a minimum distance of 500 meters, 850 meters and 1000 meters. Solutions from all calculations are compared, so that it can be concluded that for a minimum distance of 500 meters there are 6 TDS, namely TDS 2 Hamlet 1, TDS 1 Hamlet 2, TDS 2 Hamlet 3, TDS 2 Hamlet 4.
Keywords: Set Covering Problem, Temporary Disposal Site, Location Set Covering Problem, Pulau Semambu Village
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| Corresponding Author (Fitri Maya Puspita)
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36 |
Mathematics and Its Applications |
ABS-4 |
Multi-item Inventory Modeling for Generic Drug Inventory Control Planning Indrawati(a), Fitri Maya Puspita(a*), Siti Suzlin Supadi(b), Evi Yuliza(a)
(a)Mathematics Department, Faculty of Mathematics and Natural Sciences, Sriwijaya University, South Sumatera, Indonesia.
*fitrimayapuspita[at]unsri.ac.id
(b)Institut of Mathematical Sciences, University of Malaya, Kuala Lumpur, Malaysia.
Abstract
Medicine is one of the primary needs needed for healing and rehabilitation of diseases in order to improve the level of welfare. One type of drug that is widely used is generic drugs because they are relatively cheap but have relatively the same effect as patented drugs. It is important for drug providers such as pharmacies to plan policies related to the supply of medicines so that the availability of medicines is optimal. Accumulation of drugs will cause losses because drugs have an expiration date, while a shortage of drug supplies will cause consumers to switch to other places. A pharmacy does not only manage or sell one type of generic drug but several types of drugs that have dependencies such as the same source of obtaining goods so that a model for multi-item inventory is needed. The purpose of this study is to build a multi-item inventory model for generic drug inventory control planning in pharmacies so as to produce an optimal inventory control planning decision.
Keywords: multi-item inventory, generic drug, pharmacy
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| Corresponding Author (Indrawati Indrawati)
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37 |
Mathematics and Its Applications |
ABS-5 |
Chlorine Gas Inventory Model with Exponential Demand and Holt-Winters Forecasting Oki Dwipurwani (a), Fitri Maya Puspita (a*), Siti Suzlin Supadi (b), Evi Yuliza (a)
(a) Mathematics Department, Faculty of Mathematics and Natural Sciences, Sriwijaya University, Indralaya, 30662, Indonesia.
*fitrimayapuspita[at]unsri.ac.id
(b) Institut of Mathematical Sciences, University of Malaya, Kuala Lumpur, 50603, Malaysia.
Abstract
Inventory management is very important to Water Supply Company (PDAM) to ensure the consistent availability and reliability of chlorine gas, a crucial chemical required for water treatment and disinfection. This critical function allows company to proactively supervise chlorine gas quantities, maintain quality standards, plan for future needs, and arrange timely deliveries. Consequently, proficient chlorine gas inventory management significantly increases operational efficiency, mitigates the risk of supply shortages, and ensures compliance with government-mandated water quality standards. Therefore, this study aimed to develop a probabilistic Chlorine Gas inventory model, which used the (Q,r) and (R,T) model, with demand following exponential distribution. Demand data used in model were based on forecasts for multiple future periods. The results showed that the most accurate demand forecasting model for Chlorine Gas was achieved through the application of the Multiplicative Exponential Smoothing Winters method, delivering a Mean Absolute Percentage Error (MAPE) of 7, a Mean Absolute Deviation (MAD) of 754, and a Mean Squared Deviation (MSD) of 1,115,038. The optimal inventory management policy, as established by the (R,T) model, prescribed a reorder interval (T) of 0.0061 years or 2.22 days, a maximum stock level (R) of 4,166.267 kg, and a total cost (OT) amounting to IDR 2,673,615,522.833. This model also achieved a service level of 99.98%, signifying an exceptionally high level of service quality.
Keywords: Water Supply Company (PDAM), Winters Exponential Smoothing, Exponential probabilistic inventory model
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| Corresponding Author (Oki Dwipurwani)
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38 |
Mathematics and Its Applications |
ABS-6 |
IMPROVE A FUZZY INVENTORY MODEL USING TRIANGULAR FUZZY NUMBERS AND FRACTAL INTERPOLATION Eka Susanti(a,b),Fitri Maya Puspita(a*),Siti Suzlin Supadi(c),Evi Yuliza(a),Oki Dwipurwani(a),Ning Eliyati(a),Kamila Alawiyah(d),Atha Arisanti(a)
(a)Department of Mathematics, Universitas Sriwijaya, Indralaya Ogan Ilir Indonesia
(b)Science Doctoral Program Mathematics and Natural Science, Universitas Sriwijaya, Indralaya Ogan Ilir Indonesia
(c)Institute of Mathematics Science, University of Malaya, Kuala Lumpur Malaysia
(d)Department of Biology, Universitas Sriwijaya, Indralaya Ogan Ilir Indonesia
Abstract
The Inventory models can be used to plan the optimal inventory of a product. Several factors that influence the inventory model include demand parameters, prices and costs related to inventory. In special cases, the values of these parameters are uncertain. The fuzzy numbers can be used to express inventory parameters with uncertainty. One of the approach techniques for determining fuzzy parameters is the interpolation technique. This research developed a fractal interpolation technique with an interpolation function constructed from the Sierspinski Carpet. The level of interpolation accuracy is determined by Mean Percentage Absolute Error (MAPE). Obtained a MAPE value of 7.15% in the very good category. The optimal inventory, safety stock and reorder points are 14197.49 tons, 2894.87 tons and 4654.669 tons, respectively.
Keywords: Inventory, Fuzzy Numbers, Carpet Sierspinski
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| Corresponding Author (Eka Susanti Susanti)
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39 |
Mathematics and Its Applications |
ABS-7 |
Bi-Objective Benders Decomposition Model for The Optimal Location of Temporary Waste Disposal Site in Ilir Barat I Sub-District Palembang Sisca Octarina, Vira Yuriza, Putra Bahtera Jaya Bangun, Fitri Mata Puspita, Evi Yuliza
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Sriwijaya University
Corresponding authors: sisca_octarina[at]unsri.ac.id
Abstract
The rise in population density in Ilir Barat I sub-district Palembang has led to waste management problems. One of the government^s methods to mitigate the problem is to provide a temporary waste disposal site (TPS). This study attempts to determine the most effective locations for TPS in Ilir Barat I sub-district through the formulation of the Set Covering Problem, which includes the Set Covering Location Problem, the Maximum Covering Location Problem, and the Bi-Objective Benders Decomposition Model. There are 27 TPS spread over 6 villages in the Ilir Barat I sub-district. The SCP model yielded 15 optimal TPS locations. The Bi-Objective Benders Decomposition model generated 27 optimal TPS in the Ilir Barat I sub-district, Palembang. As a result, this study proposes using the Bi-Objective Benders Decomposition model to identify the ideal location for TPS because it addresses all demand points.
Keywords: Location Optimization, Set Covering Location Problem, Maximal Covering Location Problem, Bi-Objective Benders Decomposition.
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| Corresponding Author (Sisca Octarina)
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40 |
Mathematics and Its Applications |
ABS-14 |
Interactions between ergodic theory and number theory: from β--expansions to the Sierpinski gasket dajani
Mathematical Institute
Utrecht University
The Netherlands
Abstract
In this talk we give an exposition on one of the interactions between ergodic theory and number theory. We will concentrate on the concept of -\beta--expansions, which are representations of numbers of the form
\[x=\sum_{i=1}^{\infty\frac{a_i}{\beta^i}\] with \[\beta>1\] a real number, and \[a_i\in\{0,1,\cdots, \lceil \beta \rceil -1\}\]. We explain first simple concepts in ergodic theory that can help us understand the asymptotic behaviour of a typical expansion. What typical is depends on the stationary measure under consideration, and each such measure highlights a particular property of points in its support, i.e. the world that the measure sees. We extend the one-dimensional ideas to higher dimensions and show how they can be used to study multiple codings of points in an overlapping Sierpinski gasket.
Keywords: Beta-expansions, ergodic theory, Sierpinski gasket
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| Corresponding Author (Karma Dajani)
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41 |
Mathematics and Its Applications |
ABS-27 |
Dijkstra Algorithm And Ant Colony Optimization Algorithm For Fertilizer Distribution Route Problems Evi Yuliza, Indrawati, Fitri Maya Puspita, Sisca Octarina, and Utami Miftahul Jannah
Department of Mathematics
Faculty of Mathematics and Natural Sciences
Universitas Sriwijaya
Abstract
Distribution is the activity of distributing goods from a company to consumers to maintain the continuity of the company. Our research discusses how to determine the optimal route using the Dijkstra algorithm and the Ant Colony Optimization algorithm for the fertilizer distribution route problem so that all fertilizer warehouse locations can be served. Distribution of fertilizer via land transportation to the warehouse location requires the shortest route and distance. Evaluation of these two algorithms was carried out on a real example of fertilizer distribution in the city of Palembang. The solutions of these two algorithms were compared and it was found that the Djikstra algorithm showed more optimal results than the Ant Colony Optimization algorithm for the fertilizer distribution route problem.
Keywords: distribution, Dijkstra^s algorithm, Ant Colony Optimization algorithm, routing problem
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| Corresponding Author (Evi Yuliza)
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42 |
Mathematics and Its Applications |
ABS-35 |
Effect of fuzzy criteria on the performance of decision tree models for heart disease classification Submit This Sample Abstract Endang Sri Kresnawati (a*), Des Alwine Zayanti (b), Ali Amran (b), Yulia Resti (b)
a) S3 MIPA, Sriwijaya University
Jalan padang selasa no 524 bukit lama Palembang, Indonesia
*eskresna[at]unsri.ac.id
b) Faculty of MIPA, Inderalaya Ogan Ilir, Indonesia
Abstract
Fuzzy decision trees are a development of classical decision trees using fuzzy set theory as the algorithm. A set is said to be fuzzy if its elements are contained in at least two fuzzy sub-sets, which are called criteria. This research aims to measure the performance of a decision tree model that works based on fuzzy criteria. The stages start with discretization, building a decision tree structure, developing decision rules, and evaluating model performance. The results show that the more fuzzy criteria there are, the lower the model performance.
Keywords: fuzzy- decision tree- fuzzy criteria
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| Corresponding Author (endang sri kresnawati)
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43 |
Mathematics and Its Applications |
ABS-38 |
FORECASTING OF BITCOIN CRYPTOCURRENCY PRICE USING THE AUTOREGRESSIVE INTEGRATED MOVING AVERAGE (ARIMA) METHOD Nella Cornelya (1*), Dian Cahyawati (2), Ning Eliyati (3), Robinson Sitepu (4), Eka Susanti (5), Novi Rustiana Dewi (6), Putra BJ Bangun (7)
Departement of Mathematics, Faculty of Mathematics and Natural Sciences,
Sriwijaya University
Abstract
Bitcoin is a type of cryptocurrency that has the largest market capitalization as a digital investment tool. Bitcoin prices often fluctuate, making it necessary to forecast in order to help investors in predicting the profit of their digital investment. One of the methods that can be used for predicting the price of Bitcoin based on the daily preices is Autoregressive Integrated Moving Average (ARIMA). The aim of this research is to create the best ARIMA model and predict the current price of Bitcoin. The data used in this research is secondary data obtained from websites supervised by the Commodity Futures Trading Supervisory Agency starting from 1 January 2023 to 30 September 2023. The research results show that the ARIMA model (0,2,1) provides a MAPE value of 3.17%, which means the ARIMA model^s forecasting ability is very good.
Keywords: ARIMA, Bitcoin, Cryptocurrency, Forecasting.
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| Corresponding Author (Nella Cornelya)
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44 |
Mathematics and Its Applications |
ABS-43 |
APPLICATION OF PATTERN GENERATION ALGORITHM IN MULTI-PERIOD CUTTING STOCK PROBLEM MODEL IN MINIMIZING THE REMAINING CUTTING OF IRON RAW MATERIAL Tifani Ramadhana, Sisca Octarina, Fitri Maya Puspita
Faculty of Mathematics and Natural Sciences, Sriwijaya University
Abstract
The actors in the industrial field will always look for solutions to the problem of minimizing the residue of cutting raw materials so that the use of raw materials can be done optimally. The problem in cutting the remaining raw materials is commonly called the Cutting Stock Problem (CSP) where the raw materials (stock) will be cut with the minimum remaining as possible. This method is widely practiced by industrial players in iron, steel, paper, glass, and others. The purpose of CSP is to minimize the remaining cutting to reduce raw materials so that profits can be optimized. This research uses multi-period data where the data has two periods. To facilitate the search for cutting patterns will implement the Pattern Generation algorithm. This study uses data from previously conducted research where the raw material used is one size or single stock for cutting based on the length of iron cut according to consumer demand.
Keywords: Cutting Stock Problem (CSP), Multi-Period, Pattern Generation, stock
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| Corresponding Author (Tifani Ramadhana)
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45 |
Mathematics and Its Applications |
ABS-44 |
Optimization of Average Rice Production in South Sumatera Region using Quadratic Method Alda Amalia Mortara (a), Kurnia Romadona (b), Mitta Permatasari (c*), Fitri Maya Puspita (d), Sisca Octarina (e)
Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Sriwijaya, Jl. Raya Palembang-Prabumulih KM. 32, Indralaya, Sumatera Selatan, (0711)310004
Abstract
The increasing population growth is directly proportional to the increasing demand for rice as a staple in Indonesia. However, rice production has decreased, so a nonlinear approach is needed to solve this problem. The quadratic method, specifically the Wolfe Method, is used to optimize rice production. Data on the average rice harvest area from 17 districts and cities in South Sumatra during 2020-2021 is used as the basis for analysis. Through quadratic programming, a mathematical model was formed with 17 decision variables representing the harvest area in each region. The objective function of quadratic programming with the Wolfe Method seeks to maximize rice production by considering linear constraints. The results of this study are expected to provide an optimal solution for the rice harvest area in South Sumatra, which can be a guide to increase rice production in the region.
Keywords: Optimization, Rice Production, Quadratic Method, Wolfe Method
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| Corresponding Author (Mitta Permatasari)
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46 |
Mathematics and Its Applications |
ABS-45 |
Optimization of Temporary Waste Disposal Site Location in Ilir Timur III Sub-District Palembang using Genetic Algorithm Approach Muhammad Rizky (a*), Fitri Maya Puspita (a), Sisca Octarina (a)
a) Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Sriwijaya
*08011282025048[at]student.unsri.ac.id
Abstract
The waste management problem in Palembang is increasing due to the growing population, which requires an efficient solution. Ilir Timur III sub-district, a result of regional expansion, is facing a significant increase in waste production. This study discusses the optimization of the location of temporary waste disposal sites (TWDS) in Ilir Timur III sub-district of Palembang to improve waste management efficiency. The genetic algorithm approach is used to find an optimal solution. Based on the results and discussion, there are 11 optimal TWDS in Ilir Timur III sub-district. This study recommends adding TWDS in Ilir Timur III sub-district, including 4 TWDS in 8 Ilir village, 2 TWDS in Duku village, and 3 TWDS in Kuto Batu village.
Keywords: Facility Location- Temporary Waste Disposal Site- Genetic Algorithm
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| Corresponding Author (Muhammad Rizky)
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47 |
Mathematics and Its Applications |
ABS-46 |
Implementation of Simplex Method to Find Out the Production Optimization of Kemplang Crackers Audicindy Rima Vanezha(1), Mawar Tasiah(2), Vina Anggraeni(3), Fitri Maya Puspita(4), Sisca Octarina(5)
Study Program of Mathematics, Faculty of Mathematics and Natural Sciences, Sriwijaya University
Jl. Raya Palembang - Prabumulih No.KM. 32, Sumatera Selatan 30862, Indonesia
Abstract
Kemplang crackers, just like pempek, are also popular food and are in high demand among the residents of Palembang City. At the Kemplang Cracker Home Industry located on Majapahit Street, Palembang, many craftsmen and sellers depend on this product as their primary source of income. This research aims to optimize the profitability of kemplang crackers at Kemplang Unyil Palembang. To achieve maximum profits, the selection of the right formula through production planning using Linear Programming is essential. One of the methods employed in Linear Programming is the Simplex Method, which aims to find the optimal solution. The analysis of Linear Programming revealed that the most efficient profit formula is Z = 325.000X1 + 190.000X2. By applying the Simplex Method, the optimal increase in sales profit amounted to approximately Rp928.571.
Keywords: Simplex Method, Linear Programming, Optimization, Profit, Production, Kemplang crackers
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| Corresponding Author (Audicindy Rima Vanezha)
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48 |
Mathematics and Its Applications |
ABS-48 |
Optimizing Damri Fare Rates for The Palembang Indralaya Route using Newtons Polynomial Interpolation Method Adis Futri Maresya, Riska Tri Anggara, Vira Ardhana Andriyani, Dr. Fitri Maya Puspita, S.Si., M.Sc., Dr. Sisca Octarina, S.Si., M.Sc.
Mathematics and Natural Science Faculty, Sriwijaya University
Jl. Raya Palembang - Prabumulih No. KM 32, Indralaya Indah, Ogan Ilir, South Sumatera 30662, Indonesia.
Abstract
Damri is a public transportation system that is highly essential and in demand by the community, particularly students in Palembang who are studying in Indralaya. As a vital and safe mode of transportation, Damri serves various specific destinations and provides quality services to the community, especially students. The fare for Damri varies depending on the distance traveled and in accordance with applicable regulations. The local government^s policy of setting different fares for various places, even on specific days, has led to complaints from the public. Consequently, many people are dissatisfied with fares that deviate from the usual rates. Therefore, there is a pressing need for research to determine the optimal Damri fares in the city of Palembang, given that local authorities often encounter difficulties in setting new fare rates, particularly due to the limited time available for calculating operational costs. The method utilized to address this need for determining optimal Damri fares in Palembang is the Newton polynomial interpolation method. Using the Newton Polynomial method, the optimal fare for Damri buses is determined to be Rp.8,500 /person. With the current government-set fare of Rp.10,000 /person, the Damri route operators are making a profit.
Keywords: Optimal Fare- Newton Polynomial Method- Damri
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| Corresponding Author (Adis Futri Maresya)
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49 |
Mathematics and Its Applications |
ABS-49 |
APPLICATION OF THE INTERVAL HALVING METHOD IN FINDING THE ROOTS OF EQUATIONS Dita Irfaul Khasanah1, Khairun Nisa2, Muhimmatul Lulu Aa3, Fitri Maya Puspita, Sisca Oktaria
Universitas Sriwijaya
Abstract
This research aims to explain the application of the interval halving method to the process of finding the roots of an equation. The methods used are interval halving method and numerical method. When this method is used, it is expected that the obtained equation can be minimized so that the speed of convergence is faster.
Keywords: Numerical Method, Interval Halving Method, Determining the roots of equations.
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| Corresponding Author (Dita Irfaul Khasanah)
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50 |
Mathematics and Its Applications |
ABS-50 |
Application of Cost Optimization Models Production Expenditures on Processed Dragon Fruit Products for MSMEs Bintang Putra Suratama(a), Ahmad Fajrin Syalistio(b), Frisca Frasillia(c), Fitri Maya Puspita(d), and Sisca Octarina(e)
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Sriwijaya University
Abstract
This journal reviews the application of optimizing production costs for processed dragon fruit products to MSMEs. This research aims to provide an overview, planning, to many people who want to trade in processed dragon fruit. This type of research is quantitative research carried out by collecting data- data that is accurate and can be measured, then the data that has been found will be processed using the linear programming method and the simplex method, after processing the data using a linear program it will provide minimum results. This is very necessary to minimize the costs incurred when producing processed dragon fruit products are made, when the data processing is carried out, many pictures are obtained which can be used as references for SMEs who want to trade in processed dragon fruit.
Keywords: MSMEs, processed dragon fruit, linear programming.
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| Corresponding Author (Bintang Putra Suratama)
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51 |
Mathematics and Its Applications |
ABS-51 |
RUBBER PRODUCTION OPTIMIZATION IN MUARA ENIM DISTRICT USING SIMPLEX METHOD Cristalia Anggraeni Manurung (a*), Tria Mugi Rahayu (b), Wildan (c), Fitri Maya Puspita (d), Sisca Octari (e)
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Sriwijaya University. Palembang-Prabumulih Road, Indralaya, Ogan Iir Regency (30662)
Abstract
This research aims to optimize rubber production in Muara Enim Regency by applying Linear Programming techniques using the Simplex Method. This approach is used to design a mathematical model, this research focuses on maximizing rubber production in Muara Enim Regency to improve efficiency and profitability in the context of the sustainability of the rubber industry. By considering the sustainability of the rubber industry, the simulation results show that the application of Linear Programming can significantly improve the efficiency of rubber production, make a positive contribution to profits and balance between supply and demand. This research can provide practical guidance for rubber industry players in improving productivity and production sustainability. The results of the analysis using Linear Programming can provide strategic recommendations for more optimal decision making in the management of rubber production.
Keywords: Rubber, Simplex, maximizing, Muara Enim, Linear Programming
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| Corresponding Author (Cristalia Anggraeni Manurung)
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52 |
Mathematics and Its Applications |
ABS-52 |
Residual Recombination Heuristic in Solving The One-Dimensional Cutting Stock Problem Model Stephany Puspa Haryanti, Fitri Maya Puspita, Sisca Octarina
Faculty of Mathematics and Natural Sciences, Sriwijaya University
Abstract
In the world of optimization, the problem of cutting raw materials is known as the Cutting Stock Problem (CSP), and the remaining cuts are called trim loss. A one-dimensional Cutting Stock Problem (CSP) is an optimization problem in the case of combining raw material cutting patterns where the resulting trims loss only pays attention to one side of the cutting, namely the width or length side. This research uses the Pattern Generation (PG) algorithm to determine the cutting pattern with different trim losses for each cutting. The cut patterns are then implemented with the RRH method to achieve the most efficient cutting pattern, by reducing the trim loss as much as possible. Furthermore, it is formulated to the Cutting Stock Problem (CSP) model to solve the problem of iron cutting patterns by obtaining optimal cut results.
Keywords: Cutting Stock Problem (CSP), Pattern Generation (PG), Residual Recombination Heuristic (RRH), trim loss
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| Corresponding Author (Stephany Puspa Haryanti)
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53 |
Mathematics and Its Applications |
ABS-53 |
Solving the Capacitated Vehicle Routing Problem in Gallon Water Distribution using Clarke and Wright Algorithm and Lingo Gilang Hanifa Al^Kautsar, Sisca Octarina, Fitri Maya Puspita
Faculty of Mathematics and Natural Sciences, Sriwijaya University
Abstract
The goal of this study is to optimize gallon water distribution at PT. Indrotirta Sriwijaya Perkasa using the Lingo software and the Clark and Wright algorithm. The objective is to shorten the distribution vans^ total travel distance. The Clark and Wright algorithm yielded outputs totaling 60.1 kilometers- in contrast, the Lingo program produced a much smaller result of 43.4 kilometers, demonstrating its superior optimization capacity. This study demonstrates how Lingo could enhance the distribution procedure, reduce transportation costs, and ultimately boost the effectiveness of the business^s gallon water distribution operations.
Keywords: CVRP, Gallon Water, Optimization, Clarke and Wright, Lingo
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| Corresponding Author (Gilang Hanifa AlKautsar)
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54 |
Mathematics and Its Applications |
ABS-55 |
OPTIMIZATION OF PRODUCTION RESULTS FOR DE^DATES MSMEs IN PALEMBANG CITY USING THE KUHN-TUCKER METHOD Nurhidayah Pebyandini, Rindu Pelita Maharani, Siti Rahma Mutiara, Dr. Fitri Maya Puspita, S.Si, M.Sc , Dr. Sisca Octarina, S.Si, M.Sc
Sriwijaya University
Abstract
Improving production outcomes in micro, small, and medium enterprises (MSMEs) is crucial for local economic growth. This study focuses on enhancing De^Dates MSMEs in Palembang City, utilizing the Kuhn-Tucker method. This approach identifies the optimal blend of production factors within resource constraints. Primary data is gathered through mathematical analysis and direct engagement with De^Dates MSMEs. Interviews and observations provide valuable insights into their production process and challenges. Results demonstrate that applying the Kuhn-Tucker method leads to optimal production levels. This is achieved by fine-tuning factors like raw materials, labor, and technology usage. The model empowers MSMEs to navigate resource limitations efficiently, thereby maximizing output and profits. This research significantly advances more effective production strategies for De^Dates MSMEs. Additionally, the Kuhn-Tucker method holds promise in bolstering production outcomes across various MSME sectors and similar regions. Its implications can inform local economic policies, fostering sustainable growth for MSMEs.
Keywords: Kuhn-Tucker, Optimization, MSMEs, Productivity.
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| Corresponding Author (Rindu Pelita Maharani)
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55 |
Mathematics and Its Applications |
ABS-57 |
OPTIMIZING PROFITS AND THE IMPACT THAT OCCURRED AFTER CHANGING THE COMPANY^S NAME FROM BREADTALK USING THE KUHN-TUCKER METHOD Andini Nur Fajriah, Nabilah Amelia Rinjani, Shaafiyah Faakhirah, Dr. Fitri Maya Puspita, S.Si, M.Sc., Dr. Sisca Octarina, S.Si, M.Sc.
Sriwijaya University
Abstract
This research aims to determine the optimal benefits obtained after rebranding from ^BreadTalk^ to ^MAKO,^ and the impact that occurs. The branding of this bakery store is not only about profits but also about customer satisfaction, which affects customer loyalty. The study uses a sample of consumers who are familiar with Mako Cake and Bakery or have purchased products from Mako Cake and Bakery. The Kuhn Tucker method is employed in this research to find the optimal profit, regardless of whether it is linear or nonlinear. The solution using Karush-Kuhn-Tucker follows a concept similar to the Lagrange method, involving the calculation of values (𝑥-, λ-, S) and the calculation of the value (𝑥-). The process of finding values (𝑥-, λ-, S) involves matrix multiplication. Some branches of BreadTalk have retained their original names, which can impact the profits obtained as the new brand name can attract customer attention.
Keywords: Profit, Income, Kuhn-Tucker Method, Analysis, Optimizations
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| Corresponding Author (Nabilah Amelia Rinjani)
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56 |
Mathematics and Its Applications |
ABS-59 |
Traffic Management Model Design in Selfish User DSL-LTE Multiple Quality of Service Network with Constant Elasticity of Substitution Utility Function Riska Perawati Br. Nainggolan, Fitri Maya Puspita, Sisca Octarina
Departement of Mathematics, Faculty of Mathematics and Natural Sciences, Sriwijaya University
Abstract
This study aims to design and optimize a selfish user Cloud Radio Access Network (C-RAN) model with a constant elasticity of substitution utility function using three financing schemes namely flat fee, usage based and two-part tariff. To find out the changes in parameters that produce profits, a sensitivity analysis is carried out. The solution of this research uses a Nonlinear Programming (NLP) problem that determines the initial bandwidth usage and total bandwidth usage in two cases, each of which has different variables and parameters using the three financing schemes previously described and solved using LINGO.13 software.
Keywords: C-RAN, Selfish user, Constant elasticity of substitution, Sensitivity analysis
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| Corresponding Author (Riska Perawati Br. Nainggolan)
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57 |
Mathematics and Its Applications |
ABS-60 |
Use of the Exponential Smoothing to Estimate Export Value in Next Month or Above M. Aldi Septian(a*), Fatur Rizki(b), Ihsan Nuddin(c)
Universitas Sriwijaya, Jl. Raya Palembang - Prabumulih Km. 32 Indralaya, OI, Sumatera Selatan 30662, Indonesia
*aldiq192[at]gmail.com, faturrizky666[at]gmail.com, Ihsann19092003[at]gmail.com
Abstract
Export is an activity that supports the economy of a region, this export activity also experiences ups and downs in the revenue achieved. Through the data on the rise and fall of this income we can estimate the next value, one of the methods we will use is the Exponential Smoothing Method. This research also uses the Single Exponential Smoothing (SES). The data used is the value of South Sumatra Exports for the period January 2021 to July 2023. This method has several parameters to produce a minimum error. In this experiment, the error test method is used to obtain the weighting parameters. α- parameter is the evaluation value for the SES method parameters. The method used in this research is the Exponential Smoothing, this method is used to find parameters that minimise the MAP weighting function. The analysis in this research is assisted by using additional applications, namely MATLAB, which is useful for facilitating the analysis of the calculation process. Exponential Smoothing analysis is the best analysis that can be used to estimate the value of the next few periods, this is because the Exponential Smoothing Method contains the MAD (Mean Absolute Deviation), MSE (Mean Squared Error) has a minimum MAPE value so that we will be able to estimate the value of South Sumatra exports 1 or above periods ahead using the minimum MAPE parameter.
Keywords: Export, Exponential Smoothing, Mean Absolute Deviation, Mean Squared Error
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| Corresponding Author (Ihsan Nuddin)
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58 |
Mathematics and Its Applications |
ABS-61 |
Forecasting the Consumer Price Index in Palembang Using Golden Section Optimization of the Double Exponential Smoothing Method Siti Nurhaliza, Tri Febriani Putri, Tri Wahyuni, Fitri Maya Puspita, Sisca Octarina
Sriwijaya University
Abstract
The consumer price index (CPI) is a reliable indicator that reflects overall economic conditions and measures the rate of inflation or increase. Changes to the CPI occur monthly and yearly, reflecting the level of inflation or deflation of goods and services. This research aims to optimize parameters and forecast the CPI in Palembang City for the next three periods. The study utilized the Consumer Price Index data from January 2014 to September 2023 in Palembang City. The research methodology utilized the Double Exponential Smoothing method with parameter optimization, using the Golden Section method. The values for 𝛼- and 𝛾- were obtained through optimization using the Golden Section method, yielding 0.9957141 and 0.0127842, respectively. The results of research on the application of Golden Section optimization to Holt^s Double Exponential Smoothing on Consumer Price Index data in Palembang City for the period of October 2023 through December 2023, which are successively 115.059, 115.010, and 114.961 with an MAPE value of 0.8059%.
Keywords: Forecasting, Consumer Price Index, Double Exponential Smoothing, Golden Section
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| Corresponding Author (Siti Nurhaliza)
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59 |
Mathematics and Its Applications |
ABS-63 |
Determining the Maximum Value of Goods through Railway Transportation on the Islands of Sumatra and Java by Using the Golden Section Search Method Alya Dwi Shabila, Azizah, Dena Lutfia Hairunnisa, Fitri Maya Puspita, Sisca Octarina
Sriwijaya University
Abstract
In calculus, the problem of finding extreme values at minimum and maximum can be solved by analytical methods. However, in problems with complex nonlinear function forms, the search for extreme values must be solved by numerical methods. In this case, the search for the value of x for the minimum and maximum of f(x) is carried out. This research uses the idea of the golden ratio value and bisection algorithm to find f(x) = 0 using the Golden Section Search (GSS) method to find the maximum extreme value. This type of research is applied research. The implementation of the Golden Section Search (GSS) algorithm on the number of goods transported from Java Island to Sumatra via rail transportation obtained from the Central Bureau of Statistics (BPS) is analyzed computationally. First, the curve fitting process will be carried out so that the resulting polynomial function using the GSS algorithm will achieve the maximum value. The results of the calculation indicate that the Golden Section Search (GSS) algorithm is a reliable method for predicting the maximum value of polynomial functions but requires multiple iterations until the percentage of error is small.
Keywords: Curve Fitting, Golden Section Search, Polynomial Function, Maximum Value
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| Corresponding Author (Azizah Azizah)
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60 |
Mathematics and Its Applications |
ABS-64 |
Control Of Material Inventory to Meet Capacity Warehouse Uses The Lagrange Multiplier Method at PT Pupuk Sriwijaya Palembang Afiyah Setianti, Aren Parela, Zalzalulillah Annur, Fitri Maya Puspita, Sisca Octarina
Sriwijaya University
Abstract
The production process will be hampered if the material inventory in the warehouse is insufficient. Based on the monthly report data of the Production Planning and Control Section (Rendal Production) of PT Pupuk Sriwidjaja, the output of the NPK plant does not always reach maximum capacity. According to the Production Material Planning (PMP) technician of Rendal Manufacturing, the main cause is the availability of raw materials that do not match the production needs, which results in production having to be stopped. Inventory recording consisting of raw materials, semi-finished goods, and finished goods which in reality often does not match the original needs. The purpose of this study is to determine the time when the procurement of raw material supplies must begin for each request from consumers.This research is to describe material inventory control to meet warehouse capacity using the Lagrange Multiplier method at PT. Pupuk Sriwidjaja. Research on material inventory control in improving the smooth production process is carried out by seeking information through literature studies.
Keywords: Lagrange Method Multipliers, Raw Material, Production
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| Corresponding Author (Afiyah Setianti)
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