Expected performance evaluation and optimization of a multi-distribution multi-state logistics network based on network reliability

Yi-Feng Niu, Hai-Yan Xiang and Xiu-Zhen Xu

Reliability Engineering and System Safety, 2024, vol. 251, issue C

Abstract: In this paper, a logistics network is modeled as a cost-related multi-distribution multi-state flow network (CMMFN) where each arc is featured with more than one capacity distribution and each capacity distribution corresponds to a specific cost. Expected performance (EP) that represents the probability-weighted average delivery capacity can serve as a comprehensive measurement of the operational quality of a logistics network. A more direct relationship between EP and network reliability is constructed, and then an improved d-minimal cut (d-MC) additive algorithm is presented to compute EP. Moreover, an EP optimization model is developed subject to a given cost. To facilitate the solution of the EP optimization model, a concept of critical cost vector is defined and a method, called CCV method, is put forth to find all critical cost vectors. Finally, an efficient algorithm integrating the improved d-MC algorithm with the CCV method is proposed for the EP model. An illustration of the proposed model and methods is given through an example; moreover, their applications are demonstrated via a case study.

Keywords: Reliability; Multi-state flow network; Expected performance; Multi-distribution; d-MC (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:251:y:2024:i:c:s0951832024003934

DOI: 10.1016/j.ress.2024.110321

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