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
收藏
页码：13 / 29
页数：17
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