A rollout algorithm for the resource constrained elementary shortest path problem

被引:5
作者
Guerriero, Francesca [1 ]
Pugliese, Luigi Di Puglia [1 ]
Macrina, Giusy [1 ]
机构
[1] Univ Calabria, Dept Mech Energy & Management Engn, Arcavacata Di Rende, Italy
关键词
Rollout metaheuristic; constrained shortest paths; local search methods; hybrid approach; VEHICLE-ROUTING PROBLEM; BRANCH-AND-PRICE; COLUMN GENERATION; SPLIT DELIVERIES; STRATEGIES; SEARCH;
D O I
10.1080/10556788.2018.1551391
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
This paper presents a metaheuristic approach for the resource constrained elementary shortest path problem (). arises as pricing problem, when the vehicle routing problem is solved by branch-and-price algorithms. The availability of efficient metaheuristic and optimal solution approaches has contributed to the success of solution procedures based on column-generation. We focus on rollout strategies integrated with local search strategies. The scientific literature considers metaheuristics based on a tabu search procedure in order to price out columns. A comparative analysis between the proposed rollout approaches and the tabu search is conduced and the effectiveness of our proposed algorithms is tested. A comparison with exact solution approaches is also carried out in order to assess the behaviour of the implemented solution strategies in terms of both efficiency and solution quality.
引用
收藏
页码:1056 / 1074
页数:19
相关论文
共 36 条
[1]  
[Anonymous], 2008, TECHNICAL REPORT
[2]   Enhanced Branch and Price and Cut for Vehicle Routing with Split Deliveries and Time Windows [J].
Archetti, C. ;
Bouchard, M. ;
Desaulniers, G. .
TRANSPORTATION SCIENCE, 2011, 45 (03) :285-298
[3]   New Route Relaxation and Pricing Strategies for the Vehicle Routing Problem [J].
Baldacci, Roberto ;
Mingozzi, Aristide ;
Roberti, Roberto .
OPERATIONS RESEARCH, 2011, 59 (05) :1269-1283
[4]   Branch-and-price: Column generation for solving huge integer programs [J].
Barnhart, C ;
Johnson, EL ;
Nemhauser, GL ;
Savelsbergh, MWP ;
Vance, PH .
OPERATIONS RESEARCH, 1998, 46 (03) :316-329
[5]   AN ALGORITHM FOR THE RESOURCE CONSTRAINED SHORTEST-PATH PROBLEM [J].
BEASLEY, JE ;
CHRISTOFIDES, N .
NETWORKS, 1989, 19 (04) :379-394
[6]   Rollout Algorithms for Combinatorial Optimization [J].
Bertsekas D.P. ;
Tsitsiklis J.N. ;
Wu C. .
Journal of Heuristics, 1997, 3 (3) :245-262
[7]  
Bertsekas D. P., 1996, Neuro-Dynamic Programming
[8]   Dynamic programming and suboptimal control: A survey from ADP to MPC [J].
Bertsekas, DP .
EUROPEAN JOURNAL OF CONTROL, 2005, 11 (4-5) :310-334
[9]   In-Depth Analysis of Pricing Problem Relaxations for the Capacitated Arc-Routing Problem [J].
Bode, Claudia ;
Irnich, Stefan .
TRANSPORTATION SCIENCE, 2015, 49 (02) :369-383
[10]   Accelerated label setting algorithms for the elementary resource constrained shortest path problem [J].
Boland, N ;
Dethridge, J ;
Dumitrescu, I .
OPERATIONS RESEARCH LETTERS, 2006, 34 (01) :58-68