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Title of Journal: Int J Adv Manuf Technol

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Abbravation: The International Journal of Advanced Manufacturing Technology

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Springer-Verlag

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1433-3015

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Model and algorithm for fuzzy joint replenishment

Authors: Lin Wang CaiXia Dun ChiGuhn Lee QingLiang Fu YuRong Zeng
Publish Date: 2012/09/01
Volume: 66, Issue: 9-12, Pages: 1907-1920
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Abstract

We study a joint replenishment and delivery scheduling JRD problem in which a central warehouse serves nretailers in the presence of vague operational conditions such as ordering cost and inventory holding cost In the proposed fuzzy setbased approach an exact membership function is not assumed and instead can be approximated using piecewise linear functions based on alpha level sets because of their easy handling and efficiency Subsequently the fuzzy total cost is defuzzified by the widely used signed distance method to ranking fuzzy numbers However due to the JRDs difficult mathematical properties efficient and effective solution procedures for the problem have eluded researchers To find an optimal solution an effective and efficient differential evolution DE algorithm is designed After determining the appropriate parameters of the DE by parameter tuning test the effectiveness of the DE is verified by numerical examples We compare the DE with the available best approach and results show that DE can solve this nondeterministic polynomial hard problem in a robust way with a high convergence rate and low average error

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