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