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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 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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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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Multiobjective Integer and Mixed-Integer Linear Programming
2016The introduction of discrete variables into multiobjective programming problems leads to all-integer or mixed-integer problems that are more difficult to tackle, even if they have linear objective functions and constraints. The feasible set is no longer convex, and the additional difficulties go beyond those of changing from single objective linear ...
Carlos Henggeler Antunes +2 more
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Linear, Integer, and Mixed Integer Programming
2021William P. Fox, Robert E. Burks
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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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Organic mixed conductors for bioinspired electronics
Nature Reviews Materials, 2023Paschalis Gkoupidenis +2 more
exaly
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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Integer and Mixed Integer Linear Fractional Programming
1997Some of the problems mentioned in Chapter 1 required that either part of the variables, or all of them take integer values. This chapter will study such problems. In particular, we will address the bivalent programming in which part of the variables or all of them can take only values 0 or 1 (Section 9.1).
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