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On the mixed integer signomial programming problems
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Mixed-integer bilinear programming problems
Mathematical Programming, 1993This paper considers the bilinear programming problem with one set of variables restricted to be binary values. The authors describe some special cases of the problem which admit more efficient solution procedures. A composite Lagrangian relaxation cutting plane algorithm is given for the more general case.
Warren P. Adams, Hanif D. Sherali
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Cross decomposition for mixed integer programming
Mathematical Programming, 1983Many methods for solving mixed integer programming problems are based either on primal or on dual decomposition, which yield, respectively, a Benders decomposition algorithm and an implicit enumeration algorithm with bounds computed via Lagrangean relaxation. These methods exploit either the primal or the dual structure of the problem. We propose a new
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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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Mixed-integer programming—1968 and thereafter
Annals of Operations Research, 2007We present some personal reflections on the developments in integer and mixed-integer programming from 1968 up to around 1980.
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Cuts for Conic Mixed-Integer Programming
2007A conic integer program is an integer programming problem with conic constraints. Conic integer programming has important applications in finance, engineering, statistical learning, and probabilistic integer programming. Here we study mixed-integer sets defined by second-order conic constraints.
Alper AtamtĂĽrk, Vishnu Narayanan
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A branch-and-cut algorithm for Mixed-Integer Bilinear Programming
European Journal of Operational Research, 2020Matteo Fischetti, Michele Monaci
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Minimum Loss Network Reconfiguration Using Mixed-Integer Convex Programming
IEEE Transactions on Power Systems, 2012Rabih A Jabr +2 more
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