A New Mathematical Model for the Integrated Solution of Cell Formation and Part Scheduling Problem

Year 2019, , 1196 - 1210, 01.12.2019

Yeliz Buruk Sahın , Serafettin Alpay

https://doi.org/10.35378/gujs.471637

Cited By: 1

Abstract

In a cellular manufacturing system, three important
decisions are to form cells, design the layout of cells, and schedule of parts
in the cells. Most of the studies in this area have discussed these decisions
separately and independently. However, for general system performance, it is
important to consider these decisions in relation to each other, and integrated
solutions are needed. But few studies include that two or more decisions are
handled together. In this paper, a new mathematical model considers decisions
both cell formation and part-scheduling in cells together is proposed. The
objective function is designed in integrated manner and includes two objectives
to minimize together. These objectives are to minimize the exceptional elements
and makespan of the jobs. Numerical examples are provided in the paper to show
that the model is valid and it can be applicable as practically. The test data
are derived from the related literature and solved by GAMS software CPLEX
solver. The results show that the performance of the cellular manufacturing
systems in terms of formation of cells and scheduling of parts can be
significantly improved by the proposed multi objective mathematical model.

Keywords

Cellular manufacturing systems, Part scheduling, Mathematical model, Exceptional elements

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