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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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Mixed-Integer Linear Programming for Optimal Scheduling of Autonomous Vehicle Intersection Crossing
IEEE Transactions on Intelligent Vehicles, 2018We propose an urban traffic management scheme for an all connected vehicle environment. If all the vehicles are autonomous, for example, in smart city projects or future's dense city centers, then such an environment does not need a physical traffic ...
S. A. Fayazi, A. Vahidi
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A new communication platform for smart EMS using a mixed-integer-linear-programming
Energy Systems, 2023B. Alhasnawi +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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From Mixed-Integer Linear to Mixed-Integer Bilevel Linear Programming
2017Bilevel Optimization is a very challenging framework where two players (with different objectives) compete for the definition of the final solution. In this paper we address a generic mixed-integer bilevel linear program, i.e., a bilevel optimization problem where the objective functions and constraints are all linear, and some variables are required ...
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Mixed-Integer Nonlinear Programming Applications
1999In this chapter was apply different approaches to solve four rather different MINLP problems: special extensions to time-indexed formulations of production planning problems; a production planning problem in BASF’s petrochemical division; a site analysis of one of BASF’s bigger sites; and a process design problem.
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