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BSA has a powerful global exploration capacity while its local exploitation capability is relatively poor. This affects the convergence speed of the algorithm. In this paper, we propose a modified BSA inspired by simulated annealing (BSAISA) to overcome the deficiency of BSA. In the BSAISA, the amplitude control factor (<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>F<\/mml:mi><\/mml:mrow><\/mml:math>) is modified based on the Metropolis criterion in simulated annealing. The redesigned <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>F<\/mml:mi><\/mml:mrow><\/mml:math> could be adaptively decreased as the number of iterations increases and it does not introduce extra parameters. A self-adaptive <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:mi>\u03b5<\/mml:mi><\/mml:mrow><\/mml:math>-constrained method is used to handle the strict constraints. We compared the performance of the proposed BSAISA with BSA and other well-known algorithms when solving thirteen constrained benchmarks and five engineering design problems. The simulation results demonstrated that BSAISA is more effective than BSA and more competitive with other well-known algorithms in terms of convergence speed.<\/jats:p>","DOI":"10.1155\/2018\/9167414","type":"journal-article","created":{"date-parts":[[2018,2,13]],"date-time":"2018-02-13T18:34:37Z","timestamp":1518546877000},"page":"1-27","source":"Crossref","is-referenced-by-count":30,"title":["Modified Backtracking Search Optimization Algorithm Inspired by Simulated Annealing for Constrained Engineering Optimization Problems"],"prefix":"10.1155","volume":"2018","author":[{"given":"Hailong","family":"Wang","sequence":"first","affiliation":[{"name":"School of Information and Mathematics, Yangtze University, Jingzhou, Hubei 434023, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3685-2753","authenticated-orcid":true,"given":"Zhongbo","family":"Hu","sequence":"additional","affiliation":[{"name":"School of Information and Mathematics, 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