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Discrete Particle Swarm Optimization for the Orienteering Problem
IEEE Congress on Evolutionary Computation, 2010In this paper a novel discrete Particle Swarm Optimization (PSO) algorithm is proposed to solve the Orienteering Problem (OP). Discrete evolution is achieved by re-defining all operators and operands used in PSO. To obtain better results, Strengthened-PSO which improves both exploration and exploitation during the search process is employed for ...
Aise Zülal Sevkli +1 more
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Problems in discrete optimization
1993Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1993. ; Includes bibliographical references (p. 89-102). ; by Carolyn H. Norton. ; Ph.D.
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2015
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The Discrete Optimal Assignment Problem
2016This chapter considers the finite-dimensional case, which is the case when the marginal probability distributions are discrete with finite support. In this case, the Monge–Kantorovich problem becomes a finite-dimensional linear programming problem; the primal and the dual solutions are related by complementary slackness, which is interpreted in terms ...
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Discrete Approximations to Continuum Optimal Flow Problems
Studies in Applied Mathematics, 2006Problems in partial differential equations with inequality constraints can be used to describe a continuum analog to various optimal flow/cut problems. While general concepts from convex optimization (like duality) carry over into continuum problems, the application of ideas and algorithms from linear programming and network flow problems is ...
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Direct Optimization: Problem discretization
2013The goal of this chapter is to obtain a discretized version of OCP (2.6). We discuss a so-called direct approach and summarize its main advantages and disadvantages in Section 3.1 in comparison with alternative approaches. In Sections 3.2 and 3.3 we discretize OCP (2.6) in two steps. First we discretize in space and obtain a large-scale ODE constrained
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A note on the optimal portfolio problem in discrete processes
Kybernetika, 2009Summary: We deal with the optimal portfolio problem in discrete-time setting. Employing the discrete Itô formula, which is developed by Fujita, we establish the discrete Hamilton-Jacobi-Bellman (d-HJB) equation for the value function. Simple examples of the d-HJB equation are also discussed.
Naoyuki Ishimura, Yuji Mita
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New Binary Whale Optimization Algorithm for Discrete Optimization Problems
Engineering Optimization, 2020Abdelazim G Hussien +2 more
exaly
Discrete optimization and optimization of ethanol preparation problem
3rd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2023), 2023Kaichen Ouyang, Tian Xiang Xu
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