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A Non-Linear Programming Model for the Machine Grouping and a Genetic Algorithm based Solution Methodology

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Author(s): C R Shiyas | V Madhusudanan Pillai

Journal: International Journal of Computer Applications
ISSN 0975-8887

Volume: 38;
Issue: 8;
Start page: 37;
Date: 2012;
Original page

Keywords: Cellular manufacturing systems | Heterogeneity of cells | Part-machine incidence matrix | Genetic algorithm

ABSTRACT
Cellular Manufacturing is an important application of group technology principles and is suitable in a medium variety medium volume production environment. It is concerned with the production of part types in a flow line manner by dividing the production system into manufacturing cells. In cellular manufacturing system (CMS) design, cell formation is one of the most important steps which contain identification of machine cells and part families. Usually, minimization of intercell movements is the criteria for CMS design. In this paper, we introduce a heterogeneity concept which indicates diversity of machines in a cell and it is measured based on the machine assigned to a cell and machines required for processing of parts visiting the cell. A non-linear integer programming model for the design of manufacturing cells is proposed in this paper to minimize the heterogeneity of cells formed for the given part-machine incidence matrix. The solution is found through a heuristic procedure based on a genetic algorithm coded in MATLAB. The approach produced solution with a grouping efficacy equal to or better than some of the previous approaches based on seven problems.
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