THE EQUITY CONSTRAINED SHORTEST-PATH PROBLEM

被引:24
作者
GOPALAN, R [1 ]
BATTA, R [1 ]
KARWAN, MH [1 ]
机构
[1] SUNY BUFFALO, DEPT IND ENGN, BUFFALO, NY 14260 USA
关键词
D O I
10.1016/0305-0548(90)90006-S
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper examines the problem of finding the shortest path on a network subject to "equity" constraints. A Lagrangean dual bounding approach is utilized, which relaxes the "complicating constraints" of the problem. After solving the Lagrangean dual, the duality gap is closed by finding the t shortest paths with respect to the Lagrangean function. Both looping and loopless paths are considered. A quick-and-dirty heuristic procedure is also suggested. We report a sampling of our computational experiences with the model. © 1990.
引用
收藏
页码:297 / 307
页数:11
相关论文
共 17 条
[1]   DEVELOPING A RISK COST FRAMEWORK FOR ROUTING TRUCK MOVEMENTS OF HAZARDOUS MATERIALS [J].
ABKOWITZ, M ;
CHENG, PDM .
ACCIDENT ANALYSIS AND PREVENTION, 1988, 20 (01) :39-51
[2]   THE RELAXATION METHOD FOR LINEAR INEQUALITIES [J].
AGMON, S .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1954, 6 (03) :382-392
[3]   SHORTEST-PATH FOREST WITH TOPOLOGICAL ORDERING - AN ALGORITHM DESCRIPTION IN SDL [J].
DIAL, R ;
GLOVER, F ;
KARNEY, D ;
KLINGMAN, D .
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 1980, 14 (04) :343-347
[4]  
FISHER ML, 1981, MANAGE SCI, P1
[5]  
GLOVER F, 1985, MANAGE SCI, P1106
[6]  
GOPALAN R, IN PRESS OPNS RES
[7]  
GOPALAN R, 1987, THESIS STATE U NEW Y
[8]   A DUAL ALGORITHM FOR THE CONSTRAINED SHORTEST-PATH PROBLEM [J].
HANDLER, GY ;
ZANG, I .
NETWORKS, 1980, 10 (04) :293-310
[9]   SURROGATE DUAL MULTIPLIER SEARCH PROCEDURES IN INTEGER PROGRAMMING [J].
KARWAN, MH ;
RARDIN, RL .
OPERATIONS RESEARCH, 1984, 32 (01) :52-69
[10]   EQUITY AND PUBLIC RISK [J].
KEENEY, RL .
OPERATIONS RESEARCH, 1980, 28 (03) :527-534