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Operating-Room scheduling under uncertainty: balancing elective and emergency surgeries. [PDF]
Sadegh Zadeh H +3 more
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Mixed integer nonlinear programming tools: a practical overview
4or, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrea Lodi +2 more
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On a pair of nonlinear mixed integer programming problems
European Journal of Operational Research, 1985Let \(M\subset {\mathbb{R}}^ n\times {\mathbb{R}}^ m\) be an open set containing \(S\times T\), where \(S=U\times C_ 1\), \(T=V\times C_ 2\) and K:M\(\to R\) is a twice continuously differentiable function. It is assumed that the first \(n_ 1\) components of n and the first \(m_ 1\) components of y \((0\leq n_ 1\leq n\); \(0\leq m_ 1\leq m)\) are ...
D Acharya
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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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Heuristics for convex mixed integer nonlinear programs
Computational Optimization and Applications, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pierre Bonami, João P. M. Gonçalves
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An Approximate Algorithm for the Mixed Integer Nonlinear Programming
2012 Fifth International Joint Conference on Computational Sciences and Optimization, 2012An algorithm for global optima of general mixed integer nonlinear programming (MINLP) is proposed in this paper. The mixed local minimizer of MINLP is first defined, and then a mixed steepest descent algorithm is proposed for the mixed local minimizer. Motivated by some auxiliary function algorithm for continuous global optimization, such as the filled
Bo-shun Han, Yong-Jian Yang
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Solving mixed integer nonlinear programs by outer approximation
Mathematical Programming, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roger Fletcher, Sven Leyffer
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Heterogeneous parallel method for mixed integer nonlinear programming
Computers & Chemical Engineering, 2014Abstract In a heterogeneous parallel structure, two types of algorithms, Quesada Grossmann's (QG) algorithm and Tabu search (TS), are used to solve mixed integer nonlinear programming (MINLP) simultaneously. Communication is well designed between two threads running the two algorithms individually by exchanging three kinds of information during ...
Kai Zhou +4 more
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An algorithm for the mixed-integer nonlinear bilevel programming problem
Annals of Operations Research, 1992The mixed-integer nonlinear bilevel programming problem can be described as a leader-follower game, in which the leader controls a set of variables in order to minimize a given objective function. Each choice of the leader is followed by a choice of the follower who minimizes a convex quadratic function over a polyhedral feasible set.
Thomas A. Edmunds, Jonathan F. Bard
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