Distance evaluated simulated kalman filter with state encoding for combinatorial optimization problems

Simulated Kalman Filter (SKF) is a population-based optimization algorithm which exploits the estimation capability of Kalman filter to search for a solution in a continuous search space. The SKF algorithm only capable to solve numerical optimization problems which involve continuous search space. S...

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Main Authors: Yusof, Zulkifli Md., Ibrahim, Zuwairie, Adam, Asrul, Azmi, Kamil Zakwan Mohd, Ab. Rahman, Tasiransurini, Muhammad, Badaruddin, Ab. Aziz, Nor Azlina, Abd Aziz, Nor Hidayati, Mokhtar, Norrima, Shapiai, Mohd Ibrahim, Muhammad, Mohd Saberi
Format: Article
Published: Science Publishing Corporation 2018
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author Yusof, Zulkifli Md.
Ibrahim, Zuwairie
Adam, Asrul
Azmi, Kamil Zakwan Mohd
Ab. Rahman, Tasiransurini
Muhammad, Badaruddin
Ab. Aziz, Nor Azlina
Abd Aziz, Nor Hidayati
Mokhtar, Norrima
Shapiai, Mohd Ibrahim
Muhammad, Mohd Saberi
author_facet Yusof, Zulkifli Md.
Ibrahim, Zuwairie
Adam, Asrul
Azmi, Kamil Zakwan Mohd
Ab. Rahman, Tasiransurini
Muhammad, Badaruddin
Ab. Aziz, Nor Azlina
Abd Aziz, Nor Hidayati
Mokhtar, Norrima
Shapiai, Mohd Ibrahim
Muhammad, Mohd Saberi
author_sort Yusof, Zulkifli Md.
collection UM
description Simulated Kalman Filter (SKF) is a population-based optimization algorithm which exploits the estimation capability of Kalman filter to search for a solution in a continuous search space. The SKF algorithm only capable to solve numerical optimization problems which involve continuous search space. Some problems, such as routing and scheduling, involve binary or discrete search space. At present, there are three modifications to the original SKF algorithm in solving combinatorial optimization problems. Those modified algorithms are binary SKF (BSKF), angle modulated SKF (AMSKF), and distance evaluated SKF (DESKF). These three combinatorial SKF algorithms use binary encoding to represent the solution to a combinatorial optimization problem. This paper introduces the latest version of distance evaluated SKF which uses state encoding, instead of binary encoding, to represent the solution to a combinatorial problem. The algorithm proposed in this paper is called state-encoded distance evaluated SKF (SEDESKF) algorithm. Since the original SKF algorithm tends to converge prematurely, the distance is handled differently in this study. To control and exploration and exploitation of the SEDESKF algorithm, the distance is normalized. The performance of the SEDESKF algorithm is compared against the existing combinatorial SKF algorithm based on a set of Traveling Salesman Problem (TSP).
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institution Universiti Malaya
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spelling um.eprints-202302019-06-27T09:06:34Z http://eprints.um.edu.my/20230/ Distance evaluated simulated kalman filter with state encoding for combinatorial optimization problems Yusof, Zulkifli Md. Ibrahim, Zuwairie Adam, Asrul Azmi, Kamil Zakwan Mohd Ab. Rahman, Tasiransurini Muhammad, Badaruddin Ab. Aziz, Nor Azlina Abd Aziz, Nor Hidayati Mokhtar, Norrima Shapiai, Mohd Ibrahim Muhammad, Mohd Saberi TK Electrical engineering. Electronics Nuclear engineering Simulated Kalman Filter (SKF) is a population-based optimization algorithm which exploits the estimation capability of Kalman filter to search for a solution in a continuous search space. The SKF algorithm only capable to solve numerical optimization problems which involve continuous search space. Some problems, such as routing and scheduling, involve binary or discrete search space. At present, there are three modifications to the original SKF algorithm in solving combinatorial optimization problems. Those modified algorithms are binary SKF (BSKF), angle modulated SKF (AMSKF), and distance evaluated SKF (DESKF). These three combinatorial SKF algorithms use binary encoding to represent the solution to a combinatorial optimization problem. This paper introduces the latest version of distance evaluated SKF which uses state encoding, instead of binary encoding, to represent the solution to a combinatorial problem. The algorithm proposed in this paper is called state-encoded distance evaluated SKF (SEDESKF) algorithm. Since the original SKF algorithm tends to converge prematurely, the distance is handled differently in this study. To control and exploration and exploitation of the SEDESKF algorithm, the distance is normalized. The performance of the SEDESKF algorithm is compared against the existing combinatorial SKF algorithm based on a set of Traveling Salesman Problem (TSP). Science Publishing Corporation 2018 Article PeerReviewed Yusof, Zulkifli Md. and Ibrahim, Zuwairie and Adam, Asrul and Azmi, Kamil Zakwan Mohd and Ab. Rahman, Tasiransurini and Muhammad, Badaruddin and Ab. Aziz, Nor Azlina and Abd Aziz, Nor Hidayati and Mokhtar, Norrima and Shapiai, Mohd Ibrahim and Muhammad, Mohd Saberi (2018) Distance evaluated simulated kalman filter with state encoding for combinatorial optimization problems. International Journal of Engineering & Technology, 7 (4). pp. 22-29. ISSN 2227-524X, https://www.sciencepubco.com/index.php/ijet/article/view/22431
spellingShingle TK Electrical engineering. Electronics Nuclear engineering
Yusof, Zulkifli Md.
Ibrahim, Zuwairie
Adam, Asrul
Azmi, Kamil Zakwan Mohd
Ab. Rahman, Tasiransurini
Muhammad, Badaruddin
Ab. Aziz, Nor Azlina
Abd Aziz, Nor Hidayati
Mokhtar, Norrima
Shapiai, Mohd Ibrahim
Muhammad, Mohd Saberi
Distance evaluated simulated kalman filter with state encoding for combinatorial optimization problems
title Distance evaluated simulated kalman filter with state encoding for combinatorial optimization problems
title_full Distance evaluated simulated kalman filter with state encoding for combinatorial optimization problems
title_fullStr Distance evaluated simulated kalman filter with state encoding for combinatorial optimization problems
title_full_unstemmed Distance evaluated simulated kalman filter with state encoding for combinatorial optimization problems
title_short Distance evaluated simulated kalman filter with state encoding for combinatorial optimization problems
title_sort distance evaluated simulated kalman filter with state encoding for combinatorial optimization problems
topic TK Electrical engineering. Electronics Nuclear engineering
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