A novel multi-state gravitational search algorithm for discrete optimization problems

The binary-based algorithms including the binary gravitational search algorithm (BGSA) were designed to solve discrete optimization problems. Many improvements of the binary-based algorithms have been reported. In this paper, a variant of GSA called multi-state gravitational search algorithm (MSGSA)...

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Main Authors: Ismail, Ibrahim, Zuwairie, Ibrahim, Hamzah, Ahmad, Zulkifli, Md. Yusof
Format: Article
Language:English
English
Published: United Kingdom Simulation Society 2015
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/28952/
http://umpir.ump.edu.my/id/eprint/28952/1/A%20novel%20multi-state%20gravitational%20search%20algorithm%20for%20discrete%20.pdf
http://umpir.ump.edu.my/id/eprint/28952/2/A%20novel%20multi-state%20gravitational%20search%20algorithm%20for%20discrete_FULL.pdf
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author Ismail, Ibrahim
Zuwairie, Ibrahim
Hamzah, Ahmad
Zulkifli, Md. Yusof
author_facet Ismail, Ibrahim
Zuwairie, Ibrahim
Hamzah, Ahmad
Zulkifli, Md. Yusof
author_sort Ismail, Ibrahim
building UMP Institutional Repository
collection Online Access
description The binary-based algorithms including the binary gravitational search algorithm (BGSA) were designed to solve discrete optimization problems. Many improvements of the binary-based algorithms have been reported. In this paper, a variant of GSA called multi-state gravitational search algorithm (MSGSA) for discrete optimization problems is proposed. The MSGSA concept is based on a simplified mechanism of transition between two states. The performance of the MSGSA is empirically compared to the original BGSA based on six sets of selected benchmarks instances of traveling salesman problem (TSP). The results are statistically analyzed and show that the MSGSA has performed consistently in solving the discrete optimization problems.
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institution_category Local University
language English
English
last_indexed 2025-11-15T02:52:56Z
publishDate 2015
publisher United Kingdom Simulation Society
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spelling ump-289522022-11-03T09:59:59Z http://umpir.ump.edu.my/id/eprint/28952/ A novel multi-state gravitational search algorithm for discrete optimization problems Ismail, Ibrahim Zuwairie, Ibrahim Hamzah, Ahmad Zulkifli, Md. Yusof QA Mathematics TK Electrical engineering. Electronics Nuclear engineering The binary-based algorithms including the binary gravitational search algorithm (BGSA) were designed to solve discrete optimization problems. Many improvements of the binary-based algorithms have been reported. In this paper, a variant of GSA called multi-state gravitational search algorithm (MSGSA) for discrete optimization problems is proposed. The MSGSA concept is based on a simplified mechanism of transition between two states. The performance of the MSGSA is empirically compared to the original BGSA based on six sets of selected benchmarks instances of traveling salesman problem (TSP). The results are statistically analyzed and show that the MSGSA has performed consistently in solving the discrete optimization problems. United Kingdom Simulation Society 2015-12 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/28952/1/A%20novel%20multi-state%20gravitational%20search%20algorithm%20for%20discrete%20.pdf pdf en http://umpir.ump.edu.my/id/eprint/28952/2/A%20novel%20multi-state%20gravitational%20search%20algorithm%20for%20discrete_FULL.pdf Ismail, Ibrahim and Zuwairie, Ibrahim and Hamzah, Ahmad and Zulkifli, Md. Yusof (2015) A novel multi-state gravitational search algorithm for discrete optimization problems. International Journal of Simulation: Systems, Science & Technology (IJSSST), 16 (6). 15.1-15.8. ISSN 1473-8031 (print); 1473-804x (online). (Published) https://doi.org/10.5013/IJSSST.a.16.06.15 https://doi.org/10.5013/IJSSST.a.16.06.15
spellingShingle QA Mathematics
TK Electrical engineering. Electronics Nuclear engineering
Ismail, Ibrahim
Zuwairie, Ibrahim
Hamzah, Ahmad
Zulkifli, Md. Yusof
A novel multi-state gravitational search algorithm for discrete optimization problems
title A novel multi-state gravitational search algorithm for discrete optimization problems
title_full A novel multi-state gravitational search algorithm for discrete optimization problems
title_fullStr A novel multi-state gravitational search algorithm for discrete optimization problems
title_full_unstemmed A novel multi-state gravitational search algorithm for discrete optimization problems
title_short A novel multi-state gravitational search algorithm for discrete optimization problems
title_sort novel multi-state gravitational search algorithm for discrete optimization problems
topic QA Mathematics
TK Electrical engineering. Electronics Nuclear engineering
url http://umpir.ump.edu.my/id/eprint/28952/
http://umpir.ump.edu.my/id/eprint/28952/
http://umpir.ump.edu.my/id/eprint/28952/
http://umpir.ump.edu.my/id/eprint/28952/1/A%20novel%20multi-state%20gravitational%20search%20algorithm%20for%20discrete%20.pdf
http://umpir.ump.edu.my/id/eprint/28952/2/A%20novel%20multi-state%20gravitational%20search%20algorithm%20for%20discrete_FULL.pdf