Integrated Modeling of Lot Production Scheduling and Machines Maintenance Scheduling for Multiple Items Processed on Two Series Deteriorating Machines in JIT Environment Zahedi Zahedi(1*), Wikaria Gazali(2), Ramir Santos Austria(3), Haris Haris(4)
1,2: Mathematics Department, School of Computer Science, Bina Nusantara University,
Jakarta, Indonesia 11480
3: Department of Mathematics Education, College of Teacher Education,
University of the Cordilleras, Baguio City, Philippines 2600
4. Logistic and Transprtation Institute (ITL Trisakti), Kebon Nanas Street, Jakarta 13410, Indonesia. *Correspondent Author
Email: zahedizahedi[at]binus.ac.id, wikaria[at]binus.edu, rsaustria[at]uc-bcf.edu.ph, harissemak[at]yahoo.com
Abstract
This paper develops an integrated modeling of lots production scheduling and machines maintenance scheduling on flow shop with two machines. The manufacturing system produces multiple items to be delivered at a common due date. This model describes a trade-off between lot production cost and machines maintenance cost as number and quantity of lots on the series machines. The objective function of the integrated model is total cost minimization that is consisting of in process inventory lots and completed lots inventory cost, machines setup costs, preventive maintenance cost, corrective maintenance cost and rework cost on two series deteriorating machines. The step wise optimization algorithm developed to solve the mixed integer quadratic programming of the problem model. Comparison with the practice and the model sensitivity analysis are showed to clarify how the algorithm works
