An integer batch scheduling model considering learning, forgetting, and deterioration effects for a single machine to minimize total inventory holding cost
Yusriski R.a, Sukoyob, Samadhi T.M.A.A.b, Halim A.H.b
a Department of Industrial Engineering, Universitas Jenderal Achmad Yani (UNJANI), Bandung, Indonesia
b Department of Industrial Engineering and Management, Institut Teknologi Bandung (ITB), Bandung, 40132, Indonesia
Abstract
© Published under licence by IOP Publishing Ltd.This research deals with a single machine batch scheduling model considering the influenced of learning, forgetting, and machine deterioration effects. The objective of the model is to minimize total inventory holding cost, and the decision variables are the number of batches (N), batch sizes (Q[i], i = 1, 2, .., N) and the sequence of processing the resulting batches. The parts to be processed are received at the right time and the right quantities, and all completed parts must be delivered at a common due date. We propose a heuristic procedure based on the Lagrange method to solve the problem. The effectiveness of the procedure is evaluated by comparing the resulting solution to the optimal solution obtained from the enumeration procedure using the integer composition technique and shows that the average effectiveness is 94%.
Author keywords
Batch-scheduling,Decision variables,Heuristic procedures,Integer compositions,Inventory holding,Lagrange methods,Optimal solutions,Single- machines
Indexed keywords
Funding details
The authors wish to thank the editors and the referees for their constructive comments and suggestions. This research was supported by Institute Teknologi Bandung (ITB) and Universitas Jenderal Achmad Yani (UNJANI) Bandung.