Analysis of Optimum Batch Size in Multistage, Multifacility and Multiproduct Manufacturing Systems

Abstract

In any type of manufacturing environment the most common configuration will be a multistage, multiproduct, manufacturing inventory system. An in-process inventory is inherent in any multistage manufacturing system, when the product is manufactured through several operations and stages. To satisfy demand requirements in multistage, multiproduct manufacturing systems, it is important to specify feasible production quantities, as batch sizes for each end product, over a finite time period at every stage. This paper deals with different methods for determining batch sizes in a multiproduct, multistage situation in the presence of decision support systems for maximum capacity. The mathematical model suggested by Gunasekaren is considered as the basis for comparison. A fuzzy logic model of the above has been developed to calculate the economic batch sizes such that machine hour and labour productivity constraints are not violated. Using Promodel, a simulation technique, the model was subjected to variable analysis and cost analysis and the results were compared. Case studies were conducted for validating the models for their ability to produce reliable output. MATLAB software package is used for developing the program to solve the problem by fuzzy approximation.