Results 1 to 10 of about 119 (48)
An exploratory computational analysis of dual degeneracy in mixed-integer programming
Dual degeneracy, i.e., the presence of multiple optimal bases to a linear programming (LP) problem, heavily affects the solution process of mixed integer programming (MIP) solvers. Different optimal bases lead to different cuts being generated, different
Gerald Gamrath +2 more
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An exact approach for the multi-constraint graph partitioning problem
In this work, a multi-constraint graph partitioning problem is introduced. The input is an undirected graph with costs on the edges and multiple weights on the nodes. The problem calls for a partition of the node set into a fixed number of clusters, such
Diego Recalde, Ramiro Torres, Polo Vaca
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Improving strong branching by domain propagation
One of the essential components of a branch-and-bound based mixed-integer linear programming (MIP) solver is the branching rule. Strong branching is a method used by many state-of-the-art branching rules to select the variable to branch on.
Gerald Gamrath
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Ten years of feasibility pump, and counting
The Feasibility Pump (fp) is probably the best-known primal heuristic for mixed-integer programming. The original work by Fischetti et al. (Math Program 104(1):91–104, 2005), which introduced the heuristic for 0–1 mixed-integer linear programs, has been ...
Timo Berthold +2 more
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Formulations and algorithms for the recoverable Γ-robust knapsack problem
One of the most frequently occurring substructures in integer linear programs (ILPs) is the knapsack constraint. In this paper, we study ways to deal with uncertainty in the coefficients of such constraints.
Christina Büsing +3 more
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A tight MIP formulation of the unit commitment problem with start-up and shut-down constraints
This paper provides the convex hull description of the single thermal Unit Commitment (UC) problem with the following basic operating constraints: (1) generation limits, (2) start-up and shut-down capabilities, and (3) minimum up and down times.
C. Gentile, G. Morales-España, A. Ramos
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The summed start-up costs in a unit commitment problem
We consider the sum of the incurred start-up costs of a single unit in a Unit Commitment problem. Our major result is a correspondence between the facets of its epigraph and some binary trees for concave start-up cost functions CU, which is bijective if ...
René Brandenberg +2 more
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The generalized directed rural postman problem is an arc routing problem with many interesting real-life applications, such as routing for meter reading. In this application, a vehicle with a receiver travels through a series of neighborhoods.
Thais Ávila +3 more
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A branch-and-cut algorithm for the target visitation problem
In this paper, we consider the target visitation problem (TVP) which arises in the context of disaster treatment. Mathematically speaking, the problem is concerned with finding a route to visit a set of targets starting from and returning to some base ...
Achim Hildenbrandt
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Planeación de sistemas secundarios de distribución usando el algoritmo Branch and Bound
En este trabajo se plantea una metodología para la solución del problema delplaneamiento de sistemas secundarios de distribución considerando un modelode programación lineal entero mixto (PLEM), el cual considera la ubicación y dimensionamiento de ...
Carlos Javier Tapias-Isaza +2 more
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