Model and algorithm of fuzzy joint replenishment problem under credibility measure on fuzzy goal

Authors:
Lin Wang;Qing-Liang Fu;Chi-Guhn Lee;Yu-Rong Zeng
Affiliations:
School of Management, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China;School of Management, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China;Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Ontario, Canada M5S 3G8;School of Information Management, Hubei University of Economics, Wuhan, Hubei 430205, China
Venue:
Knowledge-Based Systems
Year:
2013

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Abstract

The joint replenishment problem (JRP) has received considerable attention and all of the work on JRP is under explicit environment. In fact, the decision makers often have to face vague operational conditions. In this paper, a novel JRP model with fuzzy minor replenishment cost and fuzzy inventory holding cost is developed. More concisely, this model is a fuzzy dependent-chance programming (DCP) model. Subsequently, the technique of the traditional fuzzy simulation (FS) approach and differential evolution algorithm (DE) are integrated to design a hybrid intelligent algorithm named FSDE-I to solve this practical fuzzy JRP. Thirdly, another intelligent algorithm named FSDE-II using an improved FS approach is proposed to estimate the credibility more precisely. Finally, FSDE-I and FSDE-II are illustrated with numerical examples and the results show the effectiveness of FSDE-II.