{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,10]],"date-time":"2026-06-10T00:46:06Z","timestamp":1781052366253,"version":"3.54.1"},"reference-count":36,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,11,9]],"date-time":"2021-11-09T00:00:00Z","timestamp":1636416000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,11,9]],"date-time":"2021-11-09T00:00:00Z","timestamp":1636416000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61873225"],"award-info":[{"award-number":["61873225"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61374098"],"award-info":[{"award-number":["61374098"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003787","name":"Natural Science Foundation of Hebei Province","doi-asserted-by":"publisher","award":["F2016203507"],"award-info":[{"award-number":["F2016203507"]}],"id":[{"id":"10.13039\/501100003787","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2022,1]]},"DOI":"10.1007\/s00500-021-06467-w","type":"journal-article","created":{"date-parts":[[2021,11,9]],"date-time":"2021-11-09T08:02:36Z","timestamp":1636444956000},"page":"69-87","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["An improved multi-objective bacterial colony chemotaxis algorithm based on Pareto dominance"],"prefix":"10.1007","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2777-2193","authenticated-orcid":false,"given":"Zhigang","family":"Lu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shengjing","family":"Qi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jiangfeng","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yao","family":"Cai","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaoqiang","family":"Guo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shifan","family":"Luo","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,11,9]]},"reference":[{"key":"6467_CR1","doi-asserted-by":"publisher","first-page":"708","DOI":"10.1126\/science.153.3737.708","volume":"153","author":"J Adler","year":"1966","unstructured":"Adler J (1966) Chemotaxis in bacteria. Science 153:708\u2013716","journal-title":"Science"},{"key":"6467_CR2","unstructured":"Binh TT, Korn U (1989) MOBES: a multiobjective evolution strategy for constrained optimization problems. In: Proceedings of the third international conference on genetic algorithms, 176\u2013182"},{"key":"6467_CR3","doi-asserted-by":"crossref","unstructured":"Biswas PP, Suganthan PN, Mallipeddi R et al (2019) Multi-objective optimal power flow solutions using a constraint handling technique of evolutionary algorithms. Soft Comput 4","DOI":"10.1007\/s00500-019-04077-1"},{"key":"6467_CR4","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1016\/0016-0032(74)90041-6","volume":"297","author":"HJ Bremermann","year":"1974","unstructured":"Bremermann HJ (1974) Chemotaxis and optimization. J Franklin Inst 297:397\u2013404","journal-title":"J Franklin Inst"},{"key":"6467_CR5","volume-title":"Multiobjective decision making: theory and methodology","author":"V Chankong","year":"1983","unstructured":"Chankong V, Haimes YY (1983) Multiobjective decision making: theory and methodology. Dover, Amsterdam"},{"key":"6467_CR6","unstructured":"Cheng H, Lu Z, Sun S (2011) Multiobjective optimization using bacterial colony chemotaxis. In: Proceedings of 2011 IEEE international conference on intelligent computing and intelligent systems, vol 1, pp 27\u201333"},{"key":"6467_CR7","unstructured":"Coello CAC, Lechuga MS (2002) MOPSO: a proposal for multiple objective particle swarm optimization. In: Proceedings of the 2002 congress on evolutionary computation, vol 2, pp 1051\u20131056"},{"key":"6467_CR9","unstructured":"Coello CAC, Lamont GB, Veldhuizen DAV (2007) Evolutionary algorithms for solving multi-objective problems. Departamento de Computaci\u00f3n. https:\/\/www.cs.cinvestav.mx\/~emoobook. Accessed 1 May 2008"},{"issue":"1","key":"6467_CR10","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1002\/(SICI)1099-1360(199801)7:1<34::AID-MCDA161>3.0.CO;2-6","volume":"7","author":"P Czyz\u017cak","year":"1998","unstructured":"Czyz\u017cak P, Jaszkiewicz A (1998) Pareto simulated annealing\u2014a metaheuristic technique for multiple-objective combinatorial optimization. J Multi-Criteria Decis Anal 7(1):34\u201347","journal-title":"J Multi-Criteria Decis Anal"},{"issue":"3","key":"6467_CR11","first-page":"115","volume":"9","author":"K Deb","year":"2000","unstructured":"Deb K, Agrawal RB (2000) Simulated binary crossover for continuous search space. Complex Syst 9(3):115\u2013148","journal-title":"Complex Syst"},{"issue":"2","key":"6467_CR12","doi-asserted-by":"publisher","first-page":"182","DOI":"10.1109\/4235.996017","volume":"6","author":"K Deb","year":"2002","unstructured":"Deb K, Pratap A, Agarwal S et al (2002a) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6(2):182\u2013197","journal-title":"IEEE Trans Evol Comput"},{"key":"6467_CR13","doi-asserted-by":"crossref","unstructured":"Deb K, Thiele L, Laumanns M et al (2002b) Scalable multi-objective optimization test problems. In: Proceedings of the 2002 congress on evolutionary computation, vol 1, pp 825\u2013830","DOI":"10.1109\/CEC.2002.1007032"},{"issue":"1","key":"6467_CR14","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1162\/evco.1995.3.1.1","volume":"3","author":"CM Fonseca","year":"1995","unstructured":"Fonseca CM, Fleming PJ (1995) An overview of evolutionary algorithms in multiobjective optimization. Evol Comput 3(1):1\u201316","journal-title":"Evol Comput"},{"issue":"20","key":"6467_CR15","doi-asserted-by":"publisher","first-page":"5883","DOI":"10.1007\/s00500-016-2163-5","volume":"21","author":"W Guo","year":"2017","unstructured":"Guo W, Chen M, Wang L et al (2017) Hyper multi-objective evolutionary algorithm for multi-objective optimization problems. Soft Comput 21(20):5883\u20135891","journal-title":"Soft Comput"},{"key":"6467_CR16","doi-asserted-by":"publisher","first-page":"292","DOI":"10.1016\/j.engappai.2009.09.010","volume":"23","author":"MA Guzm\u00e1n","year":"2010","unstructured":"Guzm\u00e1n MA, Delgado A, Carvalho JD (2010) A novel multiobjective optimization algorithm based on bacterial chemotaxis. Eng Appl Artif Intell 23:292\u2013301","journal-title":"Eng Appl Artif Intell"},{"key":"6467_CR17","doi-asserted-by":"publisher","first-page":"30","DOI":"10.1016\/j.swevo.2015.01.004","volume":"22","author":"S Hiwa","year":"2015","unstructured":"Hiwa S, Nishioka M, Hiroyasu T et al (2015) Novel search scheme for multi-objective evolutionary algorithms to obtain well-approximated and widely spread Pareto solutions. Swarm Evol Comput 22:30\u201346","journal-title":"Swarm Evol Comput"},{"key":"6467_CR18","doi-asserted-by":"crossref","unstructured":"Knowles J, Corne D (1999) The Pareto archived evolution strategy: a new baseline algorithm for Pareto multiobjective optimisation. In: Proceedings of the 1999 congress on evolutionary computation, vol 1, pp 98\u2013105","DOI":"10.1109\/CEC.1999.781913"},{"key":"6467_CR19","unstructured":"Kursawe F (1990) A variant of evolution strategies for vector optimization. In: International conference on parallel problem solving from nature. Springer, Berlin"},{"issue":"1","key":"6467_CR20","first-page":"58","volume":"10","author":"W Li","year":"2005","unstructured":"Li W, Wang H, Zou Z et al (2005) Function optimization method based on bacterial colony chemotaxis. J Circuits Syst 10(1):58\u201363","journal-title":"J Circuits Syst"},{"key":"6467_CR21","doi-asserted-by":"publisher","first-page":"4341","DOI":"10.1007\/s00500-018-3087-z","volume":"23","author":"Y Lin","year":"2019","unstructured":"Lin Y, Du W (2019) Multi-objective differential evolution with dynamic hybrid constraint handling mechanism. Soft Comput 23:4341\u20134355","journal-title":"Soft Comput"},{"key":"6467_CR22","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1016\/j.ijepes.2013.03.040","volume":"53","author":"Z Lu","year":"2013","unstructured":"Lu Z, Feng T, Li X (2013) Low-carbon emission\/economic power dispatch using the multi-objective bacterial colony chemotaxis optimization algorithm considering carbon capture power plant. Electr Power Energy Syst 53:106\u2013112","journal-title":"Electr Power Energy Syst"},{"key":"6467_CR23","doi-asserted-by":"publisher","first-page":"274","DOI":"10.1016\/j.asoc.2015.02.046","volume":"31","author":"Z Lu","year":"2015","unstructured":"Lu Z, Zhao H, Xiao H et al (2015) An improved multi-objective bacteria colony chemotaxis algorithm and convergence analysis. Appl Soft Comput 31:274\u2013292","journal-title":"Appl Soft Comput"},{"key":"6467_CR24","doi-asserted-by":"crossref","unstructured":"Lu Z, Geng L, Huo G et al (2019) A novel hybrid multi-objective bacterial colony chemotaxis algorithm. Soft Comput 1\u201320","DOI":"10.1007\/s00500-019-04034-y"},{"issue":"1","key":"6467_CR25","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1109\/4235.985689","volume":"6","author":"SD M\u00fcller","year":"2002","unstructured":"M\u00fcller SD, Marchetto J, Airaghi S et al (2002) Optimization based on bacterial chemotaxis. IEEE Trans Evol Comput 6(1):16\u201329","journal-title":"IEEE Trans Evol Comput"},{"key":"6467_CR26","doi-asserted-by":"crossref","unstructured":"Murty VVSN, Kumar A (2020) Multi-objective energy management in microgrids with hybrid energy sources and battery energy storage systems. Prot Control Mod Power Syst 5(2)","DOI":"10.1186\/s41601-019-0147-z"},{"key":"6467_CR27","first-page":"397","volume-title":"Genetic algorithms in engineering and computer science","author":"C Poloni","year":"1997","unstructured":"Poloni C (1997) Hybrid GA for multi-objective aerodynamic shape optimization. Genetic algorithms in engineering and computer science. Wiley, New York, pp 397\u2013414"},{"key":"6467_CR28","unstructured":"Schaffer JD (1985) Multiple objective optimization with vector evaluated genetic algorithms. In: Proceedings of the first international conference on genetic algortihms. Lawrence Erlbraum Associates, New Jersey, pp 93\u2013100"},{"key":"6467_CR29","unstructured":"Schott JR (1995) Fault tolerant design using single and multicriteria genetic algorithm optimization. Dissertation, Massachusetts Institute of Technology"},{"issue":"3","key":"6467_CR30","first-page":"221","volume":"2","author":"N Srinivas","year":"2000","unstructured":"Srinivas N, Deb K (2000) Multiobjective function optimization using nondominated sorting genetic algorithms. IEEE Trans Evol Comput 2(3):221\u2013248","journal-title":"IEEE Trans Evol Comput"},{"key":"6467_CR31","doi-asserted-by":"crossref","unstructured":"Tanaka M, Watanabe H, Furukawa Y, Tanino T (1995) GA-based decision support system for multicriteria optimization. In: IEEE international conference on systems, man and cybernetics, vol 2, pp 1556\u20131561","DOI":"10.1109\/ICSMC.1995.537993"},{"key":"6467_CR32","unstructured":"Valenzuela-Rend\u00f3n M, Uresti-Charre E (1997) A non-generational genetic algorithm for multiobjective optimization. In: Proceedings of the seventh international conference on genetic algorithms, pp 658\u2013665"},{"issue":"6","key":"6467_CR33","doi-asserted-by":"publisher","first-page":"712","DOI":"10.1109\/TEVC.2007.892759","volume":"11","author":"Q Zhang","year":"2007","unstructured":"Zhang Q, Li H (2007) MOEA\/D: a multiobjective evolutionary algorithm based on decomposition. IEEE Trans Evol Comput 11(6):712\u2013731","journal-title":"IEEE Trans Evol Comput"},{"key":"6467_CR34","unstructured":"Zheng J, Zou J (2017) Multi-objective evolutionary optimization. Science, Beijing"},{"key":"6467_CR35","unstructured":"Zitzler E (1999) Evolutionary algorithms for multiobjective optimization: methods and applications. Dissertation, Swiss Federal Institute of Technology"},{"issue":"2","key":"6467_CR36","first-page":"173","volume":"8","author":"E Zitzler","year":"2000","unstructured":"Zitzler E, Deb K, Thiele L (2000) Comparison of multiobjective evolutionary algorithms: empirical results. IEEE Trans Evol Comput 8(2):173\u2013195","journal-title":"IEEE Trans Evol Comput"},{"key":"6467_CR37","unstructured":"Zitzler E, Laumanns M, Thiele L (2001) SPEA2: improving the strength Pareto evolutionary algorithm. TIK-Report 103"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-021-06467-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-021-06467-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-021-06467-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T20:13:31Z","timestamp":1726085611000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-021-06467-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,11,9]]},"references-count":36,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,1]]}},"alternative-id":["6467"],"URL":"https:\/\/doi.org\/10.1007\/s00500-021-06467-w","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,11,9]]},"assertion":[{"value":"21 October 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 November 2021","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 conflict of interest.","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":"Human rights"}}]}}