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Nonlinear integer programming
- DISC. OPTIM
, 2009
"... Research efforts of the past fifty years have led to a development of linear integer programming as a mature discipline of mathematical optimization. Such a level of maturity has not been reached when one considers nonlinear systems subject to integrality requirements for the variables. This chapt ..."
Abstract
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Cited by 33 (10 self)
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Research efforts of the past fifty years have led to a development of linear integer programming as a mature discipline of mathematical optimization. Such a level of maturity has not been reached when one considers nonlinear systems subject to integrality requirements for the variables
Exact penalty functions for nonlinear integer programming problems
, 2010
"... In this work, we study exact continuous reformulations of nonlinear integer programming problems. To this aim, we preliminarily state conditions to guarantee the equivalence between pairs of general nonlinear problems. Then, we prove that op-timal solutions of a nonlinear integer programming proble ..."
Abstract
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Cited by 9 (4 self)
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In this work, we study exact continuous reformulations of nonlinear integer programming problems. To this aim, we preliminarily state conditions to guarantee the equivalence between pairs of general nonlinear problems. Then, we prove that op-timal solutions of a nonlinear integer programming
A Subgradient Algorithm for Nonlinear Integer Programming
, 1991
"... . This paper describes a subgradient approach to nonlinear integer programming and, in particular, nonlinear 0-1 integer programming. In this approach, the objective function for a nonlinear integer program is considered as a nonsmooth function over the integer points. The subgradient and the suppor ..."
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. This paper describes a subgradient approach to nonlinear integer programming and, in particular, nonlinear 0-1 integer programming. In this approach, the objective function for a nonlinear integer program is considered as a nonsmooth function over the integer points. The subgradient
Solving Nonlinear Integer Programs with a Subgradient Approach on Parallel Computers
, 1992
"... This article describes a new algorithm, developed at the Center for Research on Parallel Computation at Rice University, for solving nonlinear integer programs and shows how the solution to a nonlinear integer program can be achieved on a parallel computer. Nonlinear integer programming is concerned ..."
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This article describes a new algorithm, developed at the Center for Research on Parallel Computation at Rice University, for solving nonlinear integer programs and shows how the solution to a nonlinear integer program can be achieved on a parallel computer. Nonlinear integer programming
Nonlinear Integer Programming Transportation Models: An Alternative Solution
"... Abstract The combinatorial nature of integer programming is inevitable even after taking specific model structure into consideration. This is the root problem in implementing large-scale nonlinear integer programming models regardless of which algorithm one chooses to use. Consequently, we suggest ..."
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Abstract The combinatorial nature of integer programming is inevitable even after taking specific model structure into consideration. This is the root problem in implementing large-scale nonlinear integer programming models regardless of which algorithm one chooses to use. Consequently, we suggest
REDUCTION OF DIMENSIONALITY IN DYNAMIC PROGRAMMING-BASED SOLUTION METHODS FOR NONLINEAR INTEGER PROGRAMMING
, 1986
"... ABSTRACT. This paper suggests a method of formulating any nonlinear integer pro-gramming problem, with any number of constraints, as an equivalent single constraint problem, thus reducing the dimensionality of the associated dynamic programming pro-blem. ..."
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ABSTRACT. This paper suggests a method of formulating any nonlinear integer pro-gramming problem, with any number of constraints, as an equivalent single constraint problem, thus reducing the dimensionality of the associated dynamic programming pro-blem.
Particle Swarm Optimization Combining Diversification and Intensification for Nonlinear Integer Programming Problems
"... Abstract-In this research, focusing on nonlinear integer programming problems, we propose an approximate solution method based on particle swarm optimization proposed by Kennedy et al. And we developed a new particle swarm optimization method which is applicable to discrete optimization problems by ..."
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Abstract-In this research, focusing on nonlinear integer programming problems, we propose an approximate solution method based on particle swarm optimization proposed by Kennedy et al. And we developed a new particle swarm optimization method which is applicable to discrete optimization problems
A FILLED FUNCTION METHOD FOR BOX CONSTRAINED NONLINEAR INTEGER PROGRAMMING
"... Abstract. A new lled function method is presented in this paper to solve box-constrained nonlinear integer programming problems. It is shown that for a given non-global local minimizer, a better local min-imizer can be obtained by local search starting from an improved initial point which is obtaine ..."
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Abstract. A new lled function method is presented in this paper to solve box-constrained nonlinear integer programming problems. It is shown that for a given non-global local minimizer, a better local min-imizer can be obtained by local search starting from an improved initial point which
Constrained Nonlinear Integer Programming, Self-Adaptation and Evolution Strategies
"... The purpose of this research is to determine an optimal batch size for a product, and purchasing policy of associated raw materials, for a manufacturing firm. The mathematical formulation of the problem indicates that the model is a constrained nonlinear integer program. Considering the complexity o ..."
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The purpose of this research is to determine an optimal batch size for a product, and purchasing policy of associated raw materials, for a manufacturing firm. The mathematical formulation of the problem indicates that the model is a constrained nonlinear integer program. Considering the complexity
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