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Optimising multi-item economic production quantity model with trapezoidal fuzzy demand and backordering: two tuned meta-heuristics

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  • Javad Sadeghi
  • Seyed Taghi Akhavan Niaki
  • Mohammad Reza Malekian
  • Saeid Sadeghi

Abstract

In this paper, a multi-item economic production quantity model with fuzzy demand is developed in which shortages are backordered and the warehouse space is limited. While the demand is assumed to be a trapezoidal fuzzy number, the centroid defuzzification method is used to defuzzify fuzzy output functions. The Lagrangian relaxation procedure is first employed to solve the problem. Then, the model is extended to a constrained fuzzy integer nonlinear programming, in order to suit real-world situations. As the extended model cannot be solved in a reasonable time using exact methods, two meta-heuristic algorithms, named the genetic algorithm (GA) and the particle swarm optimisation (PSO) each tuned by the Taguchi method, are employed to solve it. Experimental results based on several problems of different sizes show that not only PSO is the faster algorithm, but also it performs better than GA in terms of other measures used to evaluate the performances. [Received 2 December 2012; Revised 9 August 2013; Revised 10 May 2014; Revised 8 October 2015; Accepted 1 June 2015]

Suggested Citation

  • Javad Sadeghi & Seyed Taghi Akhavan Niaki & Mohammad Reza Malekian & Saeid Sadeghi, 2016. "Optimising multi-item economic production quantity model with trapezoidal fuzzy demand and backordering: two tuned meta-heuristics," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 10(2), pages 170-195.
    • Handle: RePEc:ids:eujine:v:10:y:2016:i:2:p:170-195
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    References listed on IDEAS

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    1. Majumder, Pinki & Mondal, Sankar Prasad & Bera, Uttam Kumar & Maiti, Manoranjan, 2016. "Application of Generalized Hukuhara derivative approach in an economic production quantity model with partial trade credit policy under fuzzy environment," Operations Research Perspectives, Elsevier, vol. 3(C), pages 77-91.
    2. Nabajyoti Bhattacharjee & Nabendu Sen & Sanjukta Malakar, 2022. "A sustainable retailer’s inventory model to study the partial replacement for deteriorating items with variable shelf-life," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1502-1521, December.

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