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Machine Learning Augmented Branch and Bound for Mixed Integer Linear Programming
Mathematical programmingMixed Integer Linear Programming (MILP) is a pillar of mathematical optimization that offers a powerful modeling language for a wide range of applications. The main engine for solving MILPs is the branch-and-bound algorithm.
Lara Scavuzzo +3 more
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A mixed integer programming approach to the patient admission scheduling problem
European Journal of Operational Research, 2019Among the many challenges involved in efficient healthcare resource planning, the Patient Admission Scheduling Problem is of particular significance, impacting organizational decisions at all planning levels.
Leonardo S. L. Bastos +3 more
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European Journal of Operational Research, 2018
This paper addresses the long-term planning of electric power infrastructures considering high renewable penetration. To capture the intermittency of these sources, we propose a deterministic multi-scale Mixed-Integer Linear Programming (MILP ...
Cristiana L. Lara +4 more
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This paper addresses the long-term planning of electric power infrastructures considering high renewable penetration. To capture the intermittency of these sources, we propose a deterministic multi-scale Mixed-Integer Linear Programming (MILP ...
Cristiana L. Lara +4 more
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Mixed-Integer Linear Programming Formulations
2014In this chapter, (mixed-)integer linear programming formulations of the resource-constrained project scheduling problem are presented. Standard formulations from the literature and newly proposed formulations are classified according to their size in function of the input data.
Artigues, Christian +3 more
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A mixed integer programming approach to the tensor complementarity problem
Journal of Global Optimization, 2018The tensor complementarity problem is a special instance of nonlinear complementarity problems, which has many applications. How to solve the tensor complementarity problem, via analyzing the structure of the related tensor, is one of very important ...
S. Du, Liping Zhang
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Site Location via Mixed-Integer Programming
Operational Research Quarterly (1970-1977), 1972It is demonstrated that mixed-integer programming can be applied successfully to the solution of certain practical site location problems. A mixed-integer model of a frequently occurring form of warehouse location problem is presented. Experience with models of this type is described with examples of computational performance.
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Mixed Integer Programming Computation
2009The first 50 years of Integer and Mixed-Integer Programming have taken us to a very stable paradigm for solving problems in a reliable and effective way. We run over these 50 exciting years by showing some crucial milestones and we highlight the building blocks that are making nowadays solvers effective from both a performance and an application ...
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Stochastic Mixed-Integer Programming
2019In this chapter we consider a generalization of the recourse model in Chap. 3, obtained by allowing integrality restrictions on some or all of the decision variables. First we give some motivation why such mixed-integer recourse models are useful and interesting. Following the presentation of the general model, we give several examples of applications.
Willem K. Klein Haneveld +2 more
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Multi-objective mixed integer programming and an application in a pharmaceutical supply chain
International Journal of Production Research, 2018Multi-objective integer linear and/or mixed integer linear programming (MOILP/MOMILP) are very useful for many areas of application as any model that incorporates discrete phenomena requires the consideration of integer variables.
S. Singh, M. Goh
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Integer and Mixed-Integer Programming
1997We survey techniques for sensitivity analysis of integer programming and related problems. The emphasis is on finding analogues from linear programming.
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