How to determine economic production runs (EPR) for multiple products in flexible manufacturing systems (FMS) is considered in this paper. Eight different although similar, models are developed and presented. The first four models are devoted to the cases when no shortage is allowed. The other four models are some kind of generalization of the previous ones when shortages may exist. The numerical examples are given as the illustration of the proposed models. | Yugoslav Journal of Operations Research 21 (2011), Number 2, 307-324 DOI: MODELS OF PRODUCTION RUNS FOR MULTIPLE PRODUCTS IN FLEXIBLE MANUFACTURING SYSTEM Oliver ILIĆ, Milić RADOVIĆ Faculty of Organizational Sciences, University of Belgrade, Serbia ioliver@ radovicm@ Received: June 2008 / Accepted: November 2011 Abstract: How to determine economic production runs (EPR) for multiple products in flexible manufacturing systems (FMS) is considered in this paper. Eight different although similar, models are developed and presented. The first four models are devoted to the cases when no shortage is allowed. The other four models are some kind of generalization of the previous ones when shortages may numerical examples are given as the illustration of the proposed models. Keywords: Economic production runs, multiproduct case, deterministic inventory models. MSC: 90B30. 1. INTRODUCTION When a number of products share the use of the same equipment on a cyclic basis, the overall cycle length can be established in a way similar to the single case described in [9]. The more general problem, however, is not to determine the economical length of a production run for each product individually, but to determine jointly the runs for the entire group of products which share the use of the same facilities. If each part or product run is set independently, it is highly likely that some conflict of equipment needs would result unless the operating level is somewhat below capacity, where considerable idle equipment time is available [1]. The example presenting this situation are flexible 308 O. Ilić, and M. Radović/ Models of Production Runs for the Multiproduct Case manufacturing systems (FMS) that must be set up to produce different sizes and types of product [8], etc. Conceptually, the problem to determine an economical cycle is the same as for the one-product case, that is, to determine the cycle length which will minimize
