A Branch-Price-and-Cut Procedure for the Discrete Ordered Median Problem
Published Online:2 Jul 2020https://doi.org/10.1287/ijoc.2019.0915
References
- (2005) Branching rules revisited. Oper. Res. Lett. 33(1):42–54.Crossref, Google Scholar
- (1995) Finding cuts in the TSP (a preliminary report). DIMACS Technical Report 95-05, DIMACS, Rutgers University, New Brunswick, NJ.Google Scholar
- (2006) Computational study of large-scale p-median problems. Math. Programming 109(1):89–114.Crossref, Google Scholar
- (1998) Branch-and-price: Column generation for solving huge integer programs. Oper. Res. 46(3):316–329.Link, Google Scholar
- (1970) Special facilities in a general mathematical programming system for non-convex problems using ordered sets of variables. Lawrence J, ed. Proc. 5th Internat. Conf. Oper. Res. (Tavistock Publications, London), 447–454.Google Scholar
- (1971) Experiments in mixed-integer programming. Math. Programming 1(1):71–94.Crossref, Google Scholar
- (2006) Exact procedures for solving the discrete ordered median problem. Comput. Oper. Res. 33(11):3270–3300.Crossref, Google Scholar
- (2005) A branch-and-price algorithm for the capacitated p-median problem. Networks 45(3):125–142.Crossref, Google Scholar
- (2008) A computational evaluation of a general branch-and-price framework for capacitated network location problems. Ann. Oper. Res. 167(1):209–251.Crossref, Google Scholar
- (1983) Linear Programming (W. H. Freeman and Company, New York).Google Scholar
- (2011) Branch and price for large-scale capacitated hub location problems with single assignment. INFORMS J. Comput. 23(1):41–55.Link, Google Scholar
- (2018) An extended version of a branch-price-and-cut procedure for the discrete ordered median problem. Preprint, submitted February 9, https://arxiv.org/abs/1802.03191.Google Scholar
- (2005) A primer in column generation. Desaulniers G, Desrosiers J, Salomon MM, eds. Column Generation (Springer, Boston), 1–32.Crossref, Google Scholar
- (2005) Heuristic procedures for solving the discrete ordered median problem. Ann. Oper. Res. 136(1):145–173.Crossref, Google Scholar
- (2016) A constraint-programming-based branch-and-price-and-cut approach operating room planning and scheduling. INFORMS J. Comput. 28(3):432–448.Link, Google Scholar
- (2002) Proximal ACCPM, a cutting plane method for column generation and Lagrangean relaxation: Application to the p-median problem. Technical report, HEC Genève, Université de Genève, Geneva, Switzerland.Google Scholar
- (1999) Stabilized column generation. Discrete Math. 194(1–3):229–237.Crossref, Google Scholar
- (1894) A Fourier-féle mechanikai elv alkalmazásai. Mathematikai és Természettudományi Érstesitö 12:457–472.Google Scholar
- (1989) A probabilistic heuristic for a computationally difficult set covering problem. Oper. Res. Lett. 8(2):67–71.Crossref, Google Scholar
- (1995) Greedy randomized adaptive search procedures. J. Global Optim. 6(2):109–133.Crossref, Google Scholar
- (2014) Ordered weighted average combinatorial optimization: Formulations and their properties. Discrete Appl. Math. 169(31):97–118.Crossref, Google Scholar
- (2013) On discrete optimization with ordering. Ann. Oper. Res. 207(1):83–96.Crossref, Google Scholar
- (2017) Ordered weighted average optimization in multiobjective spanning tree problems. Eur. J. Oper. Res. 260(31):886–903.Crossref, Google Scholar
- (2010) Generic branch-cut-and-price. Master's thesis, Institut für Mathematik, Technische Universität Berlin, Berlin.Google Scholar
- . (2016) The SCIP optimization suite 3.2. Technical report 15-60, ZIB, Berlin.Google Scholar
- (2005) A branch-and-price algorithm and new test problems for spectrum auctions. Management Sci. 51(3):391–406.Link, Google Scholar
- (1989) Modeling and strong linear programs for mixed integer programming. Wallace S, ed. Algorithms and Model Formulations in Mathematical Programming, NATO ASI Series, vol. 51 (Springer, Berlin Heidelberg), 1–43.Crossref, Google Scholar
- (2017) A comparative study of formulations and solution methods for the discrete ordered p-median problem. Comput. Oper. Res. 78:230–242.Crossref, Google Scholar
- (2004) A column generation approach to capacitated p-median problems. Comput. Oper. Res. 31(6):863–876.Crossref, Google Scholar
- (2010) An extended covering model for flexible discrete and equity location problems. Math. Methods Oper. Res. 71(1):125–163.Crossref, Google Scholar
- (2009) A flexible model and efficient solution strategies for discrete location problems. Discrete Appl. Math. 157(5):1128–1145.Crossref, Google Scholar
- (2001) Discrete ordered Weber problems. Oper. Res. Proc. 2000:71–76.Crossref, Google Scholar
- (1999) A unified approach to network location problems. Networks 34(4):283–290.Crossref, Google Scholar
- (2005) Location Theory: A Unified Approach (Springer, Berlin, Heidelberg).Google Scholar
- (2018) A revised variable neighborhood search for the discrete ordered median problem. Eur. J. Oper. Res. 274(2):445–465.Crossref, Google Scholar
- (2013) Finding the nucleolus of any n–person cooperative game by a single linear program. Comput. Oper. Res. 40(10):2308–2313.Crossref, Google Scholar
- (2010) Exact algorithm over an arctime-indexed formulation for parallel machine scheduling problems. Math. Programming Comput. 2(3–4):259–290.Crossref, Google Scholar
- (2018) Mathematical programming formulations for the efficient solution of the k-sum approval voting problem. Comput. Oper. Res. 98:127–136.Crossref, Google Scholar
- (2008) A new formulation of the capacitated discrete ordered median problem with {0, 1}-assignment. Kalcsics J, Nickel S, eds. Oper. Res. Proc. 2007 (Springer, Berlin Heidelberg), 165–170.Google Scholar
- (2000) Geometrical properties of the symmetrical single facility location problem. J. Nonlinear Convex Anal. 1(3):321–342.Google Scholar
- (2015) Ordered median location problems. Laporte G, Nickel S, Saldanha da Gama F, eds. Location Science (Springer) Heidelberg: 249–288.Crossref, Google Scholar
- (2014) A modified variable neighborhood search for the discrete ordered median problem. Eur. J. Oper. Res. 234(1):61–76.Crossref, Google Scholar
- (2011) Single-allocation ordered median hub location problems. Comput. Oper. Res. 38(2):559–570.Crossref, Google Scholar
- (2013) A specialized branch & bound & cut for single-allocation ordered median hub location problems. Discrete Appl. Math. 161(16–17):2624–2646.Crossref, Google Scholar
- (2009) Minimax regret single-facility ordered median location problems on networks. INFORMS J. Comput. 21(1):77–87.Link, Google Scholar
- (2016) Ordered median hub location problems with capacity constraints. Transportation Res., Part C Emerging Tech. 70:142–156.Crossref, Google Scholar
- (1981) An integer programming approach to scheduling. Wren A, ed. Computer Scheduling of Public Transport: Urban Passenger Vehicle and Crew Scheduling (North-Holland, Amsterdam), 269–280.Google Scholar
- (2005) A branch-and-price approach to p-median location problems. Comput. Oper. Res. 32(6):1655–1664.Crossref, Google Scholar
- (2007) Genetic algorithms for solving the discrete ordered median problem. Eur. J. Oper. Res. 182(3):983–1001.Crossref, Google Scholar
- (1998) Integer Programming (John Wiley & Sons, New York).Google Scholar

