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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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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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Structure Detection in Mixed-Integer Programs
INFORMS Journal on Computing, 2018Despite vast improvements in computational power, many large-scale optimization problems involving integer variables remain difficult to solve. Certain classes, however, can be efficiently solved by exploiting special structure. One such structure is the singly bordered block-diagonal (BBD) structure that lends itself to Dantzig-Wolfe decomposition ...
Taghi Khaniyev +2 more
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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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Exact mixed-integer programming
2020In this thesis, we develop and implement an efficient algorithm that can exactly solve instances of the mixed-integer programming problem that are given by rational data. For a feasible instance, a truly optimal solution will be computed; for an infeasible instance, a provably correct infeasibility certificate will be issued.
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Mixed-integer quadratic programming
Mathematical Programming, 1982This paper considers mixed-integer quadratic programs in which the objective function is quadratic in the integer and in the continuous variables, and the constraints are linear in the variables of both types. The generalized Benders' decomposition is a suitable approach for solving such programs.
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Nonlinear and Mixed Integer Linear Programming
2012In this chapter we compare continuous nonlinear optimization with mixed integer optimization of water supply networks by means of a meso scaled network instance. We introduce a heuristic approach, which handles discrete decisions arising in water supply network optimization through penalization using nonlinear programming.
Kolb, Oliver +3 more
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Scheduling staff using mixed integer programming
European Journal of Operational Research, 1997This paper describes the solution of a problem of scheduling a workforce so as to meet demand which varies markedly with the time of day and moderately with the day of week. The main objectives were determining how many staff to emply and the times at which shifts should start.
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Mixed Integer Linear Programming for Mixed Integer Quadratic Programming
2003Abstract. In this paper we consider the mixed integer general quadratic problem (MIGQP) that consists in maximizing a quadratic function subject to quadratic constraints, with three types of variables: binary, integer and real. Given a precision , we show how to associate two mixed integer linear programs and with MIGQP.
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Mixed Integer Nonlinear Programming
2012Many engineering, operations, and scientific applications include a mixture of discrete and continuous decision variables and nonlinear relationships involving the decision variables that have a pronounced effect on the set of feasible and optimal solutions.
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