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...
In the last 20 years there has been a significant regain of interest in Benders’ algorithm (Benders, 1962) that can treat problems with such structure. The basic idea, when the y-variables are all continuous, is to break up the problem into a mixed integer “Master Problem” in the (x...
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 ro...
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 ...
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
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....
(6) We describe the learning process, train, and embed a support vector machine classification algorithm capable of identifying the appropriate cut generation function (AOF) to be applied at each stage during the branch-cut-and-Benders process. (6) The entire solution framework is outlined, ...
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 ...
Each node in the branch and bound search is solved with a Benders-like decomposition algorithm where both Lagrangean cuts and Benders cuts are included in the Benders master problem. The Lagrangean cuts are derived from Lagrangean decomposition. The Benders cuts are derived from the Benders ...