Articlegreen2019

A robust fuzzy approach for constrained multi-product economic production quantity with imperfect items and rework process

Soheyl Khalilpourazari · Abolfazl Mirzazadeh · Gerhard‐Wilhelm Weber · Seyed Hamid Reza Pasandideh

62 citations0/0 files storedOptimization

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Supply Chain and Inventory Management Scheduling and Optimization Algorithms Optimization and Mathematical Programming

Abstract

This paper aims to develop a robust multi-item EPQ formulation considering rework process and imperfect items. The mathematical model consists of two objective functions targeting minimization of total inventory costs and the total required warehouse space, respectively. Since, in real-world applications, parameters of the mathematical formulation are due to uncertainty, in this paper, Basic Chance Constraint Programming and Robust Fuzzy Chance Constraint Programming models are developed to handle uncertainties in both objective function and constraints. By solving examples, the superiority of the RFCCP over the BCCP model is showed and its ability to provide risk-averse solutions is ensured. Due to the nonlinearity of the RFCCP model and to provide the decision maker with the Pareto front, two algorithms, namely, Multi-Objective Grey Wolf Optimizer and Multi-Objective Water Cycle Algorithm, are used to optimize the decision variables. The performance of the algorithms is evaluated within different large-size test problems, using diversity, Spacing, number of non-dominated solutions and CPU-time. In the end, to investigate significant differences and to determine the best algorithm ANOVA test is implemented. In the end, we also offer new research directions, e.g. in terms of further ways of uncertainty modelling and risk management.

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References

2000Economic production quantity model for items with imperfect quality 2012Robust possibilistic programming for socially responsible supply chain network design: A new approach 2005Optimal inventory model for items with imperfect quality and shortage backordering 2007Economic order quantity for items with imperfect quality: Revisited 2004Economic ordering quantity models for items with imperfect quality 2009Economic production quantity with rework process at a single-stage manufacturing system with planned backorders 2004Optimal manufacturing batch size with rework process at a single-stage production system 2003An application of fuzzy sets theory to the EOQ model with imperfect quality items

Cited by

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