The multi-criteria constrained shortest path problem

被引：24

作者：

Shi, Ning ^{[1
]}

Zhou, Shaorui ^{[1
]}

Wang, Fan ^{[1
]}

Tao, Yi ^{[2
]}

Liu, Liming ^{[3
]}

机构：

[1] Sun Yat Sen Univ, Sch Business, Guangzhou, Guangdong, Peoples R China

[2] Guangdong Univ Technol, Sch Business, Guangzhou, Guangdong, Peoples R China

[3] Lingnan Univ Hongkong, Sch Business, Tuen Mun, Hong Kong, Peoples R China

来源：

TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW | 2017年 / 101卷

基金：

中国国家自然科学基金;

关键词：

Routing; Constrained shortest path; Multi-criteria; Pareto-optimal paths; BI-OBJECTIVE OPTIMIZATION; INTERMODAL TRANSPORTATION; HAZARDOUS MATERIALS; ROUTING PROBLEM; NETWORK DESIGN; ALGORITHM; MODEL; ENUMERATION; SOLVE;

D O I：

10.1016/j.tre.2017.02.002

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

In this study, we propose an exact method for finding all the Pareto-optimal paths for a multi-criteria constrained shortest path problem. We show that solving the special bi-criteria problem is equivalent to generating at most |P| constrained shortest paths with successive tightened constraints, where |P| is the total number of all Pareto-optimal paths. For the general multi-criteria case, we propose a decomposition procedure and theoretically prove that this method can identify all the Pareto-optimal paths from at most (u - 1)!|P| candidate paths, where u is the number of criteria. Numerical studies demonstrate that our algorithm is highly efficient and robust. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：13 / 29

页数：17

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