Search Results - Mixed-integer bilinear programming problem
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A branch-and-cut algorithm for Mixed-Integer Bilinear Programming
ISSN: 0377-2217, 1872-6860Published: Elsevier B.V 16.04.2020Published in European journal of operational research (16.04.2020)“…•We consider the Mixed-Integer Bilinear Programming problem.•We design an exact branch-and-cut algorithm, based on a new branching rule…”
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An efficient projection neural network for solving bilinear programming problems
ISSN: 0925-2312, 1872-8286Published: Elsevier B.V 30.11.2015Published in Neurocomputing (Amsterdam) (30.11.2015)“… In fact, some interesting reformulations of BLP and mixed-integer bilinear programming problem (MIBLP…”
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Reduction of the two-step problem of stochastic optimal control with bilinear model to the problem of mixed integer linear programming
ISSN: 0005-1179, 1608-3032Published: Moscow Pleiades Publishing 01.12.2016Published in Automation and remote control (01.12.2016)“… The problems of maximizing the upper and lower estimates of the probability functional were reduced to the problems of mixed integer linear programming by means of discretizing the probabilistic measure…”
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Solving Mixed Integer Bilinear Problems Using MILP Formulations
ISSN: 1052-6234, 1095-7189Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2013Published in SIAM journal on optimization (01.01.2013)“…In this paper, we examine a mixed integer linear programming reformulation for mixed integer bilinear problems where each bilinearterm involves the product of a nonnegative integer variable…”
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Linear Temporal Logic-based Mixed-Integer Linear Problem Planning with the Koopman Operator
ISSN: 2577-1647Published: IEEE 17.10.2022Published in IECON 2022 – 48th Annual Conference of the IEEE Industrial Electronics Society (17.10.2022)“… However, since the lifted bilinear systems are nonlinear, we need to solve nonlinear programming problems for trajectory optimization…”
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Conference Proceeding -
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Mixed integer bilinear programming with applications to the pooling problem
ISBN: 9781267896629, 1267896620Published: ProQuest Dissertations & Theses 01.01.2012“…This dissertation studies mixed integer bilinear programming (MIBLP) problems, which form a class of optimization problems defined…”
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Dissertation -
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Continuous-time modeling and global optimization approach for scheduling of crude oil operations
ISSN: 0001-1541, 1547-5905Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.01.2012Published in AIChE journal (01.01.2012)“… The mathematical modeling of blending different crudes in storage tanks results in many bilinear terms, which transforms the problem into a challenging, nonconvex, and mixed…”
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Univariate parameterization for global optimization of mixed-integer polynomial problems
ISSN: 0377-2217, 1872-6860Published: Amsterdam Elsevier B.V 16.09.2013Published in European journal of operational research (16.09.2013)“… This paper presents a new relaxation technique to globally optimize mixed-integer polynomial programming problems that arise in many engineering and management contexts…”
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MINLP formulations for solving strip packing problems in LCD mother glass production
ISSN: 0098-1354, 1873-4375Published: Elsevier Ltd 01.01.2013Published in Computers & chemical engineering (01.01.2013)“… This problem is a non-convex mixed integer nonlinear programming (MINLP) problem due to the bilinear terms in the demand and objective function…”
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An Improved Spatial Branch-and-Bound Algorithm for Non-Convex Optimal Electricity-Gas Flow
ISSN: 0885-8950, 1558-0679Published: New York IEEE 01.03.2022Published in IEEE transactions on power systems (01.03.2022)“… In this paper, an improved spatial branch-and-bound algorithm is proposed to solve the non-convex problem, which is formulated as a mixed-integer bilinear programming, for its exact solution…”
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Global optimization of general non-convex problems with intermediate bilinear substructures
ISSN: 1055-6788, 1029-4937Published: Abingdon Taylor & Francis 04.05.2014Published in Optimization methods & software (04.05.2014)“…This work considers the global optimization of general non-convex nonlinear and mixed-integer nonlinear programming (MINLP…”
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Scheduling of crude oil operations under demand uncertainty: A robust optimization framework coupled with global optimization
ISSN: 0001-1541, 1547-5905Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.08.2012Published in AIChE journal (01.08.2012)“…% of the refinery turnover. The mathematical modeling of blending different crudes in storage tanks results in many bilinear terms, which transform the problem into a challenging, nonconvex, mixed…”
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Global optimization of a combinatorially complex generalized pooling problem
ISSN: 0001-1541, 1547-5905Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.03.2006Published in AIChE journal (01.03.2006)“… The continuous relaxation of this mixed integer nonlinear programming problem is nonconvex because of the presence of bilinear terms in the constraint functions…”
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Joint Routing and Charging Problem of Multiple Electric Vehicles: A Fast Optimization Algorithm
ISSN: 1524-9050, 1558-0016Published: New York IEEE 01.07.2022Published in IEEE transactions on intelligent transportation systems (01.07.2022)“… of EV and revenue from serving customers. This joint problem is formulated as a mixed integer programming (MIP…”
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Strong Group Fair Classification via Optimal Transport and Mixed-Integer Linear Programming
ISSN: 0925-5001, 1573-2916Published: 19.08.2025Published in Journal of global optimization (19.08.2025)Get full text
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Dynamic adjustment strategy of electric bus operations: A spatial branch-and-bound method with acceleration techniques
ISSN: 0968-090XPublished: Elsevier Ltd 01.02.2025Published in Transportation research. Part C, Emerging technologies (01.02.2025)“… We propose a mixed-integer nonlinear programming model for each decision stage, explicitly considering factors such as vehicle overtaking, passenger load, capacity limitations, and charging behaviors…”
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Normalized multiparametric disaggregation: an efficient relaxation for mixed-integer bilinear problems
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.04.2016Published in Journal of global optimization (01.04.2016)“…A key element for the global optimization of non-convex mixed-integer bilinear problems is the computation of a tight lower bound for the objective function being minimized…”
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Optimizing bilinear multi-source water supply systems using mixed-integer linear programming approximations: An analysis of the Israeli seawater desalination array
ISSN: 0309-1708Published: Elsevier Ltd 01.08.2023Published in Advances in water resources (01.08.2023)“…•Global optimization of multisource water supply systems can be achieved through mixed integer linear programing…”
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Decomposition for adjustable robust linear optimization subject to uncertainty polytope
ISSN: 1619-697X, 1619-6988Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2016Published in Computational management science (01.04.2016)“…–min problem as done in recent works. Applying the Farkas lemma, we can reformulate the separation problem as a bilinear program, which is then linearized to obtained a mixed-integer linear programming formulation…”
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On piecewise linear approximations of bilinear terms: structural comparison of univariate and bivariate mixed-integer programming formulations
ISSN: 1573-2916, 0925-5001, 1573-2916Published: New York, NY Springer US 01.04.2023Published in Journal of global optimization (01.04.2023)“… One approach to tackle this difficulty is to use bivariate piecewise linear approximations for each variable product, which can be represented via mixed-integer linear programming (MIP) formulations…”
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