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A new discrete electromagnetism-based meta-heuristic for solving the multidimensional knapsack problem using genetic operators

Content Provider	Springer Nature Link
Author	Bonyadi, Mohammad Reza Li, Xiaodong
Copyright Year	2010
Abstract	The Standard Electromagnetism-like Mechanism (SEM) is one of the swarm-based optimization methods which is examined in this paper. The SEM works based on the charges in electrons and hence its operators have been especially designed for continuous space problems. Although the SEM was successfully applied to the standard optimization problems, it was not that notable when it came to tackling discrete space problems. This shortcoming was obvious when the SEM was applied to some standard discrete problems such as Travelling Salesman Problem, Nurse Scheduling Problem, etc. In this paper, a modified SEM called Discrete Electromagnetism-like Mechanism is proposed which utilizes Genetic Algorithm (GA) operators to work in discrete spaces. In fact, the vector calculations (which are at the heart of the SEM) in the SEM are replaced by specific types of GA operators to determine the effects that particles have on one another. Also, a new operator based on the principles of quantum mechanics is proposed which further improves the performance of the method. In our experiments, the proposed algorithm is applied to a well-studied discrete space problem called Multidimensional Knapsack Problem (MKP). All tests are done on standard problems of the MKP and the results are reported and compared with several stochastic population-based optimization methods. Experiments showed that the proposed algorithm not only found comparable (and even better in some cases) solutions for the standard problems of the MKP, but also took much less computational time (75% improvement in average in comparison to other methods).
Starting Page	229
Ending Page	252
Page Count	24
File Format	PDF
ISSN	11092858
Journal	Operational Research
Volume Number	12
Issue Number	2
e-ISSN	18661505
Language	English
Publisher	Springer-Verlag
Publisher Date	2010-07-29
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Swarm intelligence Population-based optimization Electromagnetism-Like meta-heuristic Multidimensional knapsack problem Operations Research, Management Science Computational Intelligence Operations Research/Decision Theory
Content Type	Text
Resource Type	Article
Subject	Management Science and Operations Research Strategy and Management Management of Technology and Innovation Computational Theory and Mathematics Statistics, Probability and Uncertainty Modeling and Simulation Numerical Analysis

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