4.7 Article

Optimal run lengths in deteriorating production processes in random fuzzy environments

Journal

COMPUTERS & INDUSTRIAL ENGINEERING
Volume 57, Issue 3, Pages 941-948

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.cie.2009.03.014

Keywords

Deteriorating production process; Economic manufacturing quality; Fuzzy variable; Random fuzzy variable; SPSA; Random fuzzy simulation

Funding

  1. National Natural Science Foundation of China [70571056]
  2. Program for New Century Excellent Talents in University

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This paper presents a random fuzzy economic manufacturing quantity (EMQ) model in a deteriorating process. It is assumed that the setup cost and the average holding cost are characterized as fuzzy variables and the elapsed time until shift is a random fuzzy variable. As a function of these parameters, the average total cost is also a random fuzzy variable, and the unimodality of its expected value is studied. To obtain the optimal run length and the minimum average cost, simultaneous perturbation stochastic approximation (SPSA) algorithm based on random fuzzy simulation is provided. Random fuzzy EMQ models with fuzzy deterioration, fuzzy linear deterioration and fuzzy exponential deterioration are presented, respectively. These models can be solved by the proposed algorithm. Numerical examples are presented in the end. (C) 2009 Elsevier Ltd. All rights reserved.

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