Extension of an algorithm for product mix problems with fuzzy conditions

Abstract In the real world of production, there are some uncertain parameters such as capacity, profit, and processing time. On the other hand, the fuzzy sets theory is applied as a suitable tool for managing production where dynamicity of the production environment prevents from determining target function, constraints and other parameters of the model. In this paper, a genetic algorithm embedded in fuzzy revised theory of constraints is presented for product mix problems. Results of implementing the proposed algorithm show efficiency and flexibility of this algorithm.

[1]  Lawrence D. Fredendall,et al.  Improving the product mix heuristic in the theory of constraints , 1997 .

[2]  M. Aryanezhad,et al.  An improved algorithm for optimizing product mix under the theory of constraints , 2004 .

[3]  Georgi M. Dimirovski,et al.  Decision Making in Toc-Product-Mix Selection Via Fuzzy Cost Function Optimization , 2006 .

[4]  S K Chaharsoughi,et al.  A SIMULATED ANNEALING APPROACH FOR PRODUCT MIX DECISIONS , 2007 .

[5]  Chi-Ming Tsou,et al.  On the strategy of supply chain collaboration based on dynamic inventory target level management: A theory of constraint perspective , 2013 .

[6]  Manoj Kumar Tiwari,et al.  Hybrid tabu-simulated annealing based approach to solve multi-constraint product mix decision problem , 2005, Expert Syst. Appl..

[7]  V. M. Dalfard.  NEW MATHEMATICAL MODEL FOR PROBLEM OF DYNAMIC CELL FORMATION BASED ON NUMBER AND AVERAGE LENGTH OF INTRA AND INTERCELLULAR MOVEMENTS , 2013 .

[8]  Gerhard Plenert,et al.  Optimizing theory of constraints when multiple constrained resources exist , 1993 .

[9]  Ghorbanali Mohammadi,et al.  Two meta-heuristic algorithms for solving multi-objective flexible job-shop scheduling with parallel machine and maintenance constraints , 2012, Comput. Math. Appl..

[10]  Godfrey C. Onwubolu.  Tabu search-based algorithm for the TOC product mix decision , 2001 .

[11]  N Hamidi,et al.  Proposed Fuzzy Revised Theory of Constraints Algorithm for Product Mix Problems with Fuzzy Capacity, Profit and Processing Times , 2012 .