{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,20]],"date-time":"2026-01-20T13:10:56Z","timestamp":1768914656764,"version":"3.49.0"},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2023,2,4]],"date-time":"2023-02-04T00:00:00Z","timestamp":1675468800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,2,4]],"date-time":"2023-02-04T00:00:00Z","timestamp":1675468800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Supercomput"],"published-print":{"date-parts":[[2023,6]]},"DOI":"10.1007\/s11227-023-05066-w","type":"journal-article","created":{"date-parts":[[2023,2,4]],"date-time":"2023-02-04T14:02:45Z","timestamp":1675519365000},"page":"10232-10251","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["A decentralized method for initial populations of genetic algorithms"],"prefix":"10.1007","volume":"79","author":[{"given":"Reza","family":"Roshani","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Homayon","family":"Motameni","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hosein","family":"Mohamadi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,2,4]]},"reference":[{"key":"5066_CR1","doi-asserted-by":"publisher","DOI":"10.7551\/mitpress\/1090.001.0001","volume-title":"Adaptation in natural and artifcial systems: an introductory analysis with applications to biology, control, and artifcial intelligence","author":"JH Holland","year":"1992","unstructured":"Holland JH (1992) Adaptation in natural and artifcial systems: an introductory analysis with applications to biology, control, and artifcial intelligence. MIT Press, Cambridge"},{"issue":"5","key":"5066_CR2","doi-asserted-by":"publisher","first-page":"8091","DOI":"10.1007\/s11042-020-10139-6","volume":"80","author":"SS Katoch","year":"2021","unstructured":"Katoch SS, Chauhan SS, Kumar V (2021) A review on genetic algorithm: past, present, and future. Multimed Tools Appl 80(5):8091\u20138126. https:\/\/doi.org\/10.1007\/s11042-020-10139-6","journal-title":"Multimed Tools Appl"},{"issue":"6","key":"5066_CR3","doi-asserted-by":"publisher","first-page":"57","DOI":"10.3991\/ijep.v10i6.14567","volume":"10","author":"T Alam","year":"2020","unstructured":"Alam T, Qamar S, Dixit A, Benaida M (2020) Genetic algorithm: reviews, implementations, and applications. Int J Eng Pedagog (iJEP) 10(6):57\u201377. https:\/\/doi.org\/10.3991\/ijep.v10i6.14567","journal-title":"Int J Eng Pedagog (iJEP)"},{"key":"5066_CR4","doi-asserted-by":"publisher","first-page":"1145","DOI":"10.3390\/sym11091145","volume":"11","author":"S Rani","year":"2019","unstructured":"Rani S, Suri B, Goyal R (2019) On the effectiveness of using elitist genetic algorithm in mutation testing. Symmetry 11:1145. https:\/\/doi.org\/10.3390\/sym11091145","journal-title":"Symmetry"},{"key":"5066_CR5","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1007\/978-3-319-93025-1_4","volume-title":"Genetic algorithm, in evolutionary algorithms and neural networks: theory and applications","author":"S Mirjalili","year":"2019","unstructured":"Mirjalili S (2019) Genetic algorithm. In: Mirjalili S (ed) Genetic algorithm, in evolutionary algorithms and neural networks: theory and applications. Springer, Cham, pp 43\u201355"},{"issue":"1","key":"5066_CR6","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1109\/TEVC.2003.819263","volume":"8","author":"EK Burke","year":"2004","unstructured":"Burke EK, Gustafson S, Kendall G (2004) Diversity in genetic programming: an analysis of measures and correlation with fitness. IEEE Trans Evol Comput 8(1):47\u201362. https:\/\/doi.org\/10.1109\/TEVC.2003.819263","journal-title":"IEEE Trans Evol Comput"},{"key":"5066_CR7","doi-asserted-by":"publisher","first-page":"889","DOI":"10.1007\/978-3-540-87700-4_88","volume-title":"Parallel problem solving from nature\u2014PPSN X","author":"S Helwig","year":"2008","unstructured":"Helwig S, Wanka R (2008) Theoretical analysis of initial particle swarm behavior. In: Rudolph G, Jansen T, Beume N, Lucas S, Poloni C (eds) Parallel problem solving from nature\u2014PPSN X. Springer, Berlin, pp 889\u2013898"},{"issue":"5","key":"5066_CR8","first-page":"56","volume":"2","author":"D Gupta","year":"2012","unstructured":"Gupta D, Ghafir S (2012) An overview of methods maintaining diversity in genetic algorithms. Int J Emerg Technol Adv Eng 2(5):56\u201360","journal-title":"Int J Emerg Technol Adv Eng"},{"key":"5066_CR9","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1007\/978-3-540-69432-8_2","volume-title":"Parameter setting in evolutionary algorithms","author":"AE Eiben","year":"2007","unstructured":"Eiben AE, Michalewicz Z, Schoenauer M, Smith JE (2007) Parameter control in evolutionary algorithms. In: Fernando GL, Claudio FL, Zbigniew M (eds) Parameter setting in evolutionary algorithms. Springer, Berlin, pp 19\u201346"},{"issue":"14","key":"5066_CR10","doi-asserted-by":"publisher","first-page":"817","DOI":"10.1016\/S0950-5849(01)00188-4","volume":"43","author":"D Whitley","year":"2001","unstructured":"Whitley D (2001) An overview of evolutionary algorithms: practical issues and common pitfalls. Inf Softw Technol 43(14):817\u2013831. https:\/\/doi.org\/10.1016\/S0950-5849(01)00188-4","journal-title":"Inf Softw Technol"},{"key":"5066_CR11","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2014\/367152","volume":"2014","author":"C Chen","year":"2014","unstructured":"Chen C, Yang Z, Tan Y, He R (2014) Diversity controlling genetic algorithm for order acceptance and scheduling problem. Math Probl Eng 2014:1\u201311. https:\/\/doi.org\/10.1155\/2014\/367152","journal-title":"Math Probl Eng"},{"key":"5066_CR12","doi-asserted-by":"publisher","unstructured":"Han S, Xiao L (2022) An improved adaptive genetic algorithm. SHS Web Conf 140:01044(1)\u201301044(6). https:\/\/doi.org\/10.1051\/shsconf\/202214001044","DOI":"10.1051\/shsconf\/202214001044"},{"key":"5066_CR13","doi-asserted-by":"publisher","unstructured":"Nguyen BM, Thi Thanh Binh H, The Anh T, Bao Son D (2019) Evolutionary algorithms to optimize task scheduling problem for the IoT based bag-of-tasks application in cloud-fog computing environment. Appl Sci 9(9):1730(1)\u20131730(20). https:\/\/doi.org\/10.3390\/app9091730","DOI":"10.3390\/app9091730"},{"issue":"12","key":"5066_CR14","doi-asserted-by":"publisher","first-page":"e679","DOI":"10.1016\/j.na.2008.11.084","volume":"71","author":"A Reese","year":"2009","unstructured":"Reese A (2009) Random number generators in genetic algorithms for unconstrained and constrained optimization. Nonlinear Anal Theory Methods Appl 71(12):e679\u2013e692. https:\/\/doi.org\/10.1016\/j.na.2008.11.084","journal-title":"Nonlinear Anal Theory Methods Appl"},{"key":"5066_CR15","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1007\/978-3-540-85646-7_12","volume-title":"Multiobjective programming and goal programming","author":"S Poles","year":"2009","unstructured":"Poles S, Fu Y, Rigoni E (2009) The effect of initial population sampling on the convergence of multi-objective genetic algorithms. In: Barichard V, Ehrgott M, Gandibleux X, T\u2019Kindt V (eds) Multiobjective programming and goal programming. Springer, Berlin, pp 123\u2013133"},{"key":"5066_CR16","doi-asserted-by":"crossref","unstructured":"Kazimipour B, Li X, Qin AK (2014) A review of population initialization techniques for evolutionary algorithms. In: 2014 IEEE Congress on Evolutionary Computation (CEC), 2014. Beijing, pp 2585\u20132592","DOI":"10.1109\/CEC.2014.6900618"},{"issue":"2","key":"5066_CR17","first-page":"26","volume":"6","author":"C Karr","year":"1991","unstructured":"Karr C (1991) Genetic algorithms for fuzzy controller. AI Expert 6(2):26\u201333","journal-title":"AI Expert"},{"key":"5066_CR18","unstructured":"Thrift PR (1978) Fuzzy logic synthesis with genetic algorithms. In: 4th International Conference on Genetic Algorithms, 1978. San Diego, pp 509\u2013513"},{"key":"5066_CR19","volume-title":"Genetic programming: on the programming of computers by means of natural selection","author":"JR Koza","year":"1992","unstructured":"Koza JR (1992) Genetic programming: on the programming of computers by means of natural selection. MIT press, Cambridge"},{"key":"5066_CR20","doi-asserted-by":"publisher","first-page":"327","DOI":"10.5902\/2179460X20790","volume":"37","author":"R Roshani","year":"2015","unstructured":"Roshani R, Sohrabi MK (2015) Parallel genetic algorithm for shortest path routing problem with collaborative neighbors. Ciencia e Natura 37:327\u2013333. https:\/\/doi.org\/10.5902\/2179460X20790","journal-title":"Ciencia e Natura"},{"key":"5066_CR21","doi-asserted-by":"publisher","unstructured":"Haque MA, Ahmad N (2022) Key issues in software reliability growth models. Recent Adv Comput Sci Commun (Formerly:Recent Patents on Computer Science) 15(5):741\u2013747. https:\/\/doi.org\/10.2174\/2666255813999201012182821","DOI":"10.2174\/2666255813999201012182821"},{"key":"5066_CR22","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-16-0025-8","volume-title":"Software Reliability Growth Models","author":"DD Hanagal","year":"2021","unstructured":"Hanagal DD, Bhalerao NN (2021) Software Reliability Growth Models. Springer, Singapore"},{"key":"5066_CR23","unstructured":"Ahmad MZ, Ahmad N (2021) Parametric software reliability growth model with testing effort: a review. In: 2021 International Conference on Computational Performance Evaluation (ComPE), 2021, Beijing, pp 899\u2013904"},{"key":"5066_CR24","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1016\/j.jss.2015.01.001","volume":"102","author":"T Kim","year":"2015","unstructured":"Kim T, Lee K, Baik J (2015) An effective approach to estimating the parameters of software reliability growth models using a real-valued genetic algorithm. J Syst Softw 102:134\u2013144. https:\/\/doi.org\/10.1016\/j.jss.2015.01.001","journal-title":"J Syst Softw"},{"key":"5066_CR25","unstructured":"Kumar S, Harish, (2015) Estimate the software reliability with recursive go model. Int J Res Comput Appl Inf Technol (IJRCAIT) 3(6):40\u201349"},{"issue":"1","key":"5066_CR26","doi-asserted-by":"publisher","first-page":"258","DOI":"10.1007\/s11227-021-03896-0","volume":"78","author":"K Jani","year":"2022","unstructured":"Jani K, Kumar A, Nahata R (2022) Hpcfolder: a simple tool used to parallelize algorithms using the message passing interface (MPI). J Supercomput 78(1):258\u2013278. https:\/\/doi.org\/10.1007\/s11227-021-03896-0","journal-title":"J Supercomput"},{"key":"5066_CR27","volume-title":"Introduction to Parallel Programming","author":"S Kumar","year":"2022","unstructured":"Kumar S (2022) Introduction to Parallel Programming. Cambridge University Press, Cambridge"},{"issue":"2","key":"5066_CR28","doi-asserted-by":"publisher","first-page":"634","DOI":"10.1016\/j.ejor.2006.02.012","volume":"178","author":"AL Nsakanda","year":"2007","unstructured":"Nsakanda AL, Price M, Gravel M (2007) Ensuring population diversity in genetic algorithms: a technical note with application to the cell formation problem. Eur J Oper Res 178(2):634\u2013638. https:\/\/doi.org\/10.1016\/j.ejor.2006.02.012","journal-title":"Eur J Oper Res"},{"issue":"3","key":"5066_CR29","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1109\/TR.1979.5220566","volume":"28","author":"AL Goel","year":"1979","unstructured":"Goel AL, Okumoto K (1979) Time-dependent error-detection rate model for software reliability and other performance measures. IEEE Trans Reliab 28(3):206\u2013211. https:\/\/doi.org\/10.1109\/TR.1979.5220566","journal-title":"IEEE Trans Reliab"},{"issue":"5","key":"5066_CR30","doi-asserted-by":"publisher","first-page":"475","DOI":"10.1109\/TR.1983.5221735","volume":"32","author":"S Yamada","year":"1983","unstructured":"Yamada S, Ohba M, Osaki S (1983) S-shaped reliability growth modeling for software error detection. IEEE Trans Reliab 32(5):475\u2013484","journal-title":"IEEE Trans Reliab"},{"issue":"12","key":"5066_CR31","doi-asserted-by":"publisher","first-page":"1411","DOI":"10.1109\/TSE.1985.232177","volume":"11","author":"AL Goel","year":"1985","unstructured":"Goel AL (1985) Software reliability models: assumptions, limitations, and applicability. IEEE Trans Software Eng 11(12):1411\u20131423. https:\/\/doi.org\/10.1109\/TSE.1985.232177","journal-title":"IEEE Trans Software Eng"},{"key":"5066_CR32","doi-asserted-by":"publisher","first-page":"144","DOI":"10.1007\/978-3-642-45587-2_10","volume-title":"Stochastic Models in Reliability Theory","author":"M Ohba","year":"1984","unstructured":"Ohba M (1984) Inflection S-shaped software reliability growth model. In: Zaimis E (ed) Stochastic Models in Reliability Theory. Springer, Berlin, pp 144\u2013162"},{"issue":"3","key":"5066_CR33","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1142\/S0218539397000199","volume":"4","author":"H Pham","year":"1997","unstructured":"Pham H, Zhang X (1997) An NHPP software reliability model and its comparison. Int J Reliab Qual Saf Eng 4(3):269\u2013282","journal-title":"Int J Reliab Qual Saf Eng"},{"key":"5066_CR34","doi-asserted-by":"publisher","first-page":"42","DOI":"10.1016\/j.knosys.2019.02.010","volume":"172","author":"MA Elaziz","year":"2019","unstructured":"Elaziz MA, Mirjalili S (2019) A hyper-heuristic for improving the initial population of whale optimization algorithm. Knowl Based Syst 172:42\u201363. https:\/\/doi.org\/10.1016\/j.knosys.2019.02.010","journal-title":"Knowl Based Syst"},{"key":"5066_CR35","doi-asserted-by":"publisher","DOI":"10.1007\/1-84628-295-0","volume-title":"System software reliability","author":"H Pham","year":"2007","unstructured":"Pham H (2007) System software reliability. Springer, London. https:\/\/doi.org\/10.1007\/1-84628-295-0"}],"container-title":["The Journal of Supercomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-023-05066-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11227-023-05066-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-023-05066-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,15]],"date-time":"2023-06-15T09:10:55Z","timestamp":1686820255000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11227-023-05066-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2,4]]},"references-count":35,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2023,6]]}},"alternative-id":["5066"],"URL":"https:\/\/doi.org\/10.1007\/s11227-023-05066-w","relation":{},"ISSN":["0920-8542","1573-0484"],"issn-type":[{"value":"0920-8542","type":"print"},{"value":"1573-0484","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,2,4]]},"assertion":[{"value":"16 January 2023","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 February 2023","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no competing interests as defined by Springer, or other interests that might be perceived to influence the results and\/or discussion reported in this paper.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}}]}}