Shell and tube heat exchanger design using mixed‐integer linear programming
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DOI: 10.1002/aic.15556
Abstract: The design of heat exchangers, especially shell and tube heat exchangers was originally proposed as a trial and error procedure where guesses of the heat transfer coefficient were made and then verified after the design… read more here.
Keywords: programming; shell tube; mixed integer; heat ... See more keywords
Algorithms for generalized potential games with mixed-integer variables
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DOI: 10.1007/s10589-017-9927-4
Abstract: We consider generalized potential games, that constitute a fundamental subclass of generalized Nash equilibrium problems. We propose different methods to compute solutions of generalized potential games with mixed-integer variables, i.e., games in which some variables… read more here.
Keywords: potential games; integer variables; mixed integer; games mixed ... See more keywords
A branch-and-cut algorithm for solving mixed-integer semidefinite optimization problems
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DOI: 10.1007/s10589-019-00153-2
Abstract: We consider a cutting-plane algorithm for solving mixed-integer semidefinite optimization (MISDO) problems. In this algorithm, the positive semidefinite (psd) constraint is relaxed, and the resultant mixed-integer linear optimization problem is solved repeatedly, imposing at each… read more here.
Keywords: optimization; mixed integer; branch cut; cut algorithm ... See more keywords
A mixed integer programming-based global optimization framework for analyzing gene expression data
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DOI: 10.1007/s10898-017-0530-0
Abstract: The analysis of high throughput gene expression patients/controls experiments is based on the determination of differentially expressed genes according to standard statistical tests. A typical bioinformatics approach to this problem is composed of two separate… read more here.
Keywords: global optimization; mixed integer; expression; gene expression ... See more keywords
A trajectory-based method for mixed integer nonlinear programming problems
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DOI: 10.1007/s10898-017-0570-5
Abstract: A local trajectory-based method for solving mixed integer nonlinear programming problems is proposed. The method is based on the trajectory-based method for continuous optimization problems. The method has three phases, each of which performs continuous… read more here.
Keywords: integer nonlinear; based method; mixed integer; trajectory based ... See more keywords
Global optimization of MIQCPs with dynamic piecewise relaxations
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DOI: 10.1007/s10898-018-0612-7
Abstract: We propose a new deterministic global optimization algorithm for solving mixed-integer bilinear programs. It relies on a two-stage decomposition strategy featuring mixed-integer linear programming relaxations to compute estimates of the global optimum, and constrained non-linear… read more here.
Keywords: global optimization; optimization miqcps; miqcps dynamic; piecewise relaxations ... See more keywords
Multi-parametric global optimization approach for tri-level mixed-integer linear optimization problems
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DOI: 10.1007/s10898-018-0668-4
Abstract: In this work, we present a novel algorithm for the global solution of tri-level mixed-integer linear optimization problems containing both integer and continuous variables at all three optimization levels. Based on multi-parametric theory and our… read more here.
Keywords: optimization; mixed integer; integer linear; multi parametric ... See more keywords
Facets of a mixed-integer bilinear covering set with bounds on variables
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DOI: 10.1007/s10898-019-00783-0
Abstract: We derive a closed form description of the convex hull of mixed-integer bilinear covering set with bounds on the integer variables. This convex hull description is determined by considering some orthogonal disjunctive sets defined in… read more here.
Keywords: integer bilinear; covering set; set bounds; mixed integer ... See more keywords
An inner approximation method to compute the weight set decomposition of a triobjective mixed-integer problem
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DOI: 10.1007/s10898-020-00898-9
Abstract: This article is dedicated to the weight set decomposition of a multiobjective (mixed-)integer linear problem with three objectives. We propose an algorithm that returns a decomposition of the parameter set of the weighted sum scalarization… read more here.
Keywords: weight; mixed integer; weight set; set decomposition ... See more keywords
Granularity in Nonlinear Mixed-Integer Optimization
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DOI: 10.1007/s10957-019-01591-y
Abstract: We study a new technique to check the existence of feasible points for mixed-integer nonlinear optimization problems that satisfy a structural requirement called granularity. For granular optimization problems, we show how rounding the optimal points… read more here.
Keywords: granularity; granularity nonlinear; mixed integer; optimization ... See more keywords
Mixed Integer Programming Model for Facility Location Problems: Case Study for Consolidation Centers
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DOI: 10.1007/s11036-020-01555-x
Abstract: Nowadays, enterprises create and develope several strategies for reaching maximum logistic quality level desired. One of this strategies is consolidation cargo. According to Çetinkaya ( 2003 ), there are two approaches: pure policies and integral… read more here.
Keywords: consolidation; facility location; case; mixed integer ... See more keywords