Improved Branch-Cut-and-Price for capacitated vehicle routing

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 8494 LNCS, Issue , 2014, Pages 393-403

  Pecin, Diego ^a   Pessoa, Artur ^b   Poggi, Marcus ^a   Uchoa, Eduardo ^b  

^a PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMBINATORIAL OPTIMIZATION; COSTS; HEURISTIC METHODS; LINEAR PROGRAMMING;

BRANCH-CUT-AND-PRICE ALGORITHM; CAPACITATED VEHICLE ROUTING PROBLEM; CAPACITATED VEHICLES; CUT AND COLUMN; DUALITY GAP; EXACT ALGORITHMS; OPTIMALITY;

INTEGER PROGRAMMING;

EID: 84958541068     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-319-07557-0_33     Document Type: Conference Paper

References (16)

1. Baldacci, R., Christofides, N., Mingozzi, A.: An exact algorithm for the vehicle routing problem based on the set partitioning formulation with additional cuts. Mathematical Programming 115(2), 351-385 (2008)
2. Baldacci, R., Mingozzi, A., Roberti, R.: New route relaxation and pricing strategies for the vehicle routing problem. Operations Research 59(5), 1269-1283 (2011)
3. Christofides, N., Mingozzi, A., Toth, P.: Exact algorithms for the vehicle routing problem, based on spanning tree and shortest path relaxations. Math. Prog. 20, 255-282 (1981)
4. Contardo, C.: A new exact algorithm for the multi-depot vehicle routing problem under capacity and route length constraints. Technical report, Archipel-UQAM 5078, Université du Québec á Montréal, Canada (2012)
5. Fukasawa, R., Longo, H., Lysgaard, J., Poggi De Aragão, M., Reis, M., Uchoa, E., Werneck, R. F.: Robust branch-and-cut-and-price for the capacitated vehicle routing problem. Mathematical Programming 106(3), 491-511 (2006)
6. Golden, B., Wasil, E., Kelly, J., Chao, I.: The impact of metaheuristics on solving the vehicle routing problem: Algorithms, problem sets, and computational results. In: Fleet Management and Logistics, pp. 33-56. Springer (1998)
7. Irnich, S., Desaulniers, G., Desrosiers, J., Hadjar, A.: Path-reduced costs for eliminating arcs in routing and scheduling. INFORMS Journal on Computing 22(2), 297-313 (2010)
8. Jepsen, M., Petersen, B., Spoorendonk, S., Pisinger, D.: Subset-row inequalities applied to the vehicle-routing problem with time windows. Oper. Research 56, 497-511 (2008)
9. Lysgaard, J., Letchford, A., Eglese, R.: A new branch-and-cut algorithm for the capacitated vehicle routing problem. Mathematical Programming 100, 423-445 (2004)
10. Martinelli, R., Pecin, D., Poggi, M.: Efficient elementary and restricted non-elementary route pricing for routing problems (2012) (submitted)
11. Pessoa, A., Poggi De Aragão, M., Uchoa, E.: Robust branch-cut-and-price algorithms for vehicle routing problems. In: Golden, B., Raghavan, S., Wasil, E. (eds.) The Vehicle Routing Problem: Latest Advances and New Challenges, pp. 297-325. Springer (2008)
12. Pessoa, A., Sadykov, R., Uchoa, E., Vanderbeck, F.: In-out separation and column generation stabilization by dual price smoothing. In: Bonifaci, V., Demetrescu, C., Marchetti-Spaccamela, A. (eds.) SEA 2013. LNCS, vol. 7933, pp. 354-365. Springer, Heidelberg (2013)
13. Pessoa, A., Uchoa, E., Poggi De Aragão, M., Rodrigues, R.: Exact algorithm over an arc-timeindexed formulation for parallel machine scheduling problems. Mathematical Programming Computation 2(3-4), 259-290 (2010)
14. Poggi De Aragão, M., Uchoa, E.: Integer program reformulation for robust branch-and-cutand-price. In: Annals of Mathematical Programming in Rio, Búzios, Brazil, pp. 56-61 (2003)
15. Righini, G., Salani, M.: Symmetry helps: bounded bi-directional dynamic programming for the elementary shortest path problem with resource constraints. Discrete Optimization 3(3), 255-273 (2006)
16. Røpke, S.: Branching decisions in branch-and-cut-and-price algorithms for vehicle routing problems. Presentation in Column Generation 2012 (2012)