Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 187, Issue 1, Pages 46-69Publisher
ELSEVIER
DOI: 10.1016/j.ejor.2007.02.040
Keywords
genetic algorithm; cellular manufacturing; production planning; product quality
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Production lot sizing models are often used to decide the best lot size to minimize operation cost, inventory cost, and setup cost. Cellular manufacturing analyses mainly address how machines should be grouped and parts be produced. In this paper, a mathematical programming model is developed following an integrated approach for cell configuration and lot sizing in a dynamic manufacturing environment. The model development also considers the impact of lot sizes on product quality. Solution of the mathematical model is to minimize both production and quality related costs. The proposed model, with nonlinear terms and integer variables, cannot be solved for real size problems efficiently due to its NP-complexity. To solve the model for practical purposes, a linear programming embedded genetic algorithm was developed. The algorithm searches over the integer variables and for each integer solution visited the corresponding values of the continuous variables are determined by solving a linear programming subproblem using the simplex algorithm. Numerical examples showed that the proposed method is efficient and effective in searching for near optimal solutions. (c) 2007 Elsevier B.V. All rights reserved.
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