The robust shortest path problem in series-parallel multidigraphs with interval data

被引:32
作者
Kasperski, A
Zielinski, P
机构
[1] Wroclaw Univ Technol, Inst Ind Engn & Management, PL-50370 Wroclaw, Poland
[2] Wroclaw Univ Technol, Inst Math, PL-50370 Wroclaw, Poland
关键词
robust optimization; NP-hardness; pseudopolynomial algorithm; shortest path problem; combinatorial optimization;
D O I
10.1016/j.orl.2005.01.008
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper the robust shortest path problem in edge series-parallel multidigraphs with interval costs is examined. The maximal regret criterion is applied to calculate the optimal solution. It is shown that this problem is NP-hard. A pseudopolynomial algorithm for the studied problem is constructed. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:69 / 76
页数:8
相关论文
共 11 条
[1]  
[Anonymous], 1979, Computers and Intractablity: A Guide to the Theoryof NP-Completeness
[2]   Interval data minmax regret network optimization problems [J].
Averbakh, I ;
Lebedev, V .
DISCRETE APPLIED MATHEMATICS, 2004, 138 (03) :289-301
[3]   On the hardness of evaluating criticality of activities in a planar network with duration intervals [J].
Chanas, S ;
Zielinski, P .
OPERATIONS RESEARCH LETTERS, 2003, 31 (01) :53-59
[4]   On latest starting times and floats in activity networks with ill-known durations [J].
Dubois, D ;
Fargier, H ;
Galvagnon, V .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2003, 147 (02) :266-280
[5]  
KARASAN OE, 2002, COMPUT OPER RES
[6]  
Kouvelis P., 1997, ROBUST DISCRETE OPTI
[7]   An exact algorithm for the robust shortest path problem with interval data [J].
Montemanni, R ;
Gambardella, LM .
COMPUTERS & OPERATIONS RESEARCH, 2004, 31 (10) :1667-1680
[8]   A branch and bound algorithm for the robust shortest path problem with interval data [J].
Montemanni, R ;
Gambardella, LM ;
Donati, AV .
OPERATIONS RESEARCH LETTERS, 2004, 32 (03) :225-232
[9]   THE RECOGNITION OF SERIES-PARALLEL DIGRAPHS [J].
VALDES, J ;
TARJAN, RE ;
LAWLER, EL .
SIAM JOURNAL ON COMPUTING, 1982, 11 (02) :298-313
[10]   On the robust shortest path problem [J].
Yu, G ;
Yang, J .
COMPUTERS & OPERATIONS RESEARCH, 1998, 25 (06) :457-468