During the exploration of the branch-and-bound search tree, the algorithm adds combinatorial Benders cuts. Computational results are provided and demonstrate effectiveness of the BBC approach.doi:10.1016/j.cor.2019.104847Xiangyong Li aY.P. Aneja b...
Benders’ decomposition is a popular mathematical and constraint programming algorithm that is widely applied to exploit problem structure arising from real-world applications. While useful for exploiting structure in mathematical and constraint programs, the use of Benders’ decomposition typically requires ...
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A branch-and-Benders-cut algorithm for a bi-objective stochastic facility location problemBi-objective optimizationStochastic optimizationBranch and boundBenders decompositionL-shaped methodPareto efficiencyIn many real-world optimization problems, more than one objective plays a role and input parameters are...
A branch-and-Benders-cut algorithm for a bi-objective stochastic facility location problemLOCATION problems (Programming)DISTRIBUTION (Probability theory)PUBLIC welfareDISASTER reliefALGORITHMSSTOCHASTIC programmingIn many real-world optimization problems, more than one objective plays a r...
A branch-and-Benders-cut algorithm for the Crew Scheduling and Routing Problem in road restorationdoi:10.1016/j.ejor.2018.11.004Alfredo MorenoPedro Augusto MunariDouglas José AlemNorth-Holland
Benders decomposition (BD)branch-and-cut (B&C) algorithmmixed-integer linear programming (MILP)parallel processingsecurity constrained transmission expansion planning (SCTEP)The emergence of a great number of regional planning projects worldwide has considerably increased the complexity and relevance of ...
J. N. Sawaya and S. Elhedhli, An interiorpoint Benders based branchandcut algorithm for mixed integer programs, Annals of Operations Research, Vol 210, Issue 1, pp 3355, Nov 2013....
Therefore, we propose a branch-and-Benders-cut (BBC) algorithm that decomposes the integrated problem into a master problem (MP) with scheduling decisions and subproblems with routing decisions. Computational tests based on instances from the literature show that the proposed exact method improves the...
Aiming to save linear programming re-optimization times, that algorithm makes use of an early branching strategy. Given the set of valid inequalities used in the polyhedral representation of the problem and the best available upper bound for the optimal cost, it detects if the node cannot be ...