{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T14:06:57Z","timestamp":1771682817362,"version":"3.50.1"},"reference-count":52,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2019,7,18]],"date-time":"2019-07-18T00:00:00Z","timestamp":1563408000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,7,18]],"date-time":"2019-07-18T00:00:00Z","timestamp":1563408000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cogn Comput"],"published-print":{"date-parts":[[2019,10]]},"DOI":"10.1007\/s12559-019-09665-9","type":"journal-article","created":{"date-parts":[[2019,7,18]],"date-time":"2019-07-18T09:02:51Z","timestamp":1563440571000},"page":"719-734","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["Rank-Based Gravitational Search Algorithm: a Novel Nature-Inspired Optimization Algorithm for Wireless Sensor Networks Clustering"],"prefix":"10.1007","volume":"11","author":[{"given":"Sepehr","family":"Ebrahimi Mood","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7955-8220","authenticated-orcid":false,"given":"Mohammad Masoud","family":"Javidi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,7,18]]},"reference":[{"issue":"6","key":"9665_CR1","doi-asserted-by":"publisher","first-page":"495","DOI":"10.1177\/0142331208094044","volume":"31","author":"W Tang","year":"2009","unstructured":"Tang W, Wu Q. Biologically inspired optimization: a review. Trans Inst Meas Control. 2009;31(6):495\u2013515.","journal-title":"Trans Inst Meas Control"},{"key":"9665_CR2","doi-asserted-by":"publisher","first-page":"517","DOI":"10.1007\/s12559-018-9554-0","volume":"10","author":"D Molina","year":"2018","unstructured":"Molina D, LaTorre A, Herrera F. An insight into bio-inspired and evolutionary algorithms for global optimization: review, analysis, and lessons learnt over a decade of competitions. Cogn Comput. 2018;10:517\u201344.","journal-title":"Cogn Comput"},{"issue":"3","key":"9665_CR3","doi-asserted-by":"publisher","first-page":"320","DOI":"10.1007\/s12559-012-9130-y","volume":"4","author":"MM Al-Rifaie","year":"2012","unstructured":"Al-Rifaie MM, Bishop JM, Caines S. Creativity and autonomy in swarm intelligence systems. Cogn Comput. 2012;4(3):320\u201331.","journal-title":"Cogn Comput"},{"issue":"3","key":"9665_CR4","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1007\/s12559-012-9164-1","volume":"4","author":"JM Bishop","year":"2012","unstructured":"Bishop JM, Erden YJ. Computational creativity, intelligence and autonomy. Cogn Comput. 2012;4(3):209\u201311.","journal-title":"Cogn Comput"},{"issue":"1","key":"9665_CR5","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1007\/s12559-016-9442-4","volume":"9","author":"B Song","year":"2017","unstructured":"Song B, Wang Z, Zou L. On global smooth path planning for mobile robots using a novel multimodal delayed PSO algorithm. Cogn Comput. 2017;9(1):5\u201317.","journal-title":"Cogn Comput"},{"issue":"2","key":"9665_CR6","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1007\/s12559-016-9447-z","volume":"9","author":"S-S Kim","year":"2017","unstructured":"Kim S-S, McLoone S, Byeon JH, Lee S, Liu H. Cognitively inspired artificial bee colony clustering for cognitive wireless sensor networks. Cogn Comput. 2017;9(2):207\u201324.","journal-title":"Cogn Comput"},{"issue":"1","key":"9665_CR7","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1007\/s12559-012-9144-5","volume":"5","author":"Q Tang","year":"2013","unstructured":"Tang Q, Shen Y, Hu C, Zeng J, Gong W. Swarm intelligence: based cooperation optimization of multi-modal functions. Cogn Comput. 2013;5(1):48\u201355.","journal-title":"Cogn Comput"},{"issue":"4","key":"9665_CR8","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1007\/s12559-017-9485-1","volume":"9","author":"N Siddique","year":"2017","unstructured":"Siddique N, Adeli H. Nature-inspired chemical reaction optimisation algorithms. Cogn Comput. 2017;9(4):411\u201322.","journal-title":"Cogn Comput"},{"issue":"6","key":"9665_CR9","doi-asserted-by":"publisher","first-page":"817","DOI":"10.1007\/s12559-017-9508-y","volume":"9","author":"S Chakraborty","year":"2017","unstructured":"Chakraborty S, Dey N, Samanta S, Ashour AS, Barna C, Balas MM. Optimization of non-rigid demons registration using cuckoo search algorithm. Cogn Comput. 2017;9(6):817\u201326.","journal-title":"Cogn Comput"},{"key":"9665_CR10","unstructured":"Zhang A et al. Clustering of remote sensing imagery using a social recognition-based multi-objective gravitational search algorithm. Cogn Comput, 2018: 1\u201310."},{"key":"9665_CR11","doi-asserted-by":"crossref","unstructured":"Nisar S et al. Cognitively inspired feature extraction and speech recognition for automated hearing loss testing. Cogn Comput, 2019: 1\u201314.","DOI":"10.1007\/s12559-018-9607-4"},{"issue":"6","key":"9665_CR12","doi-asserted-by":"publisher","first-page":"1096","DOI":"10.1007\/s12559-018-9588-3","volume":"10","author":"WA Ghanem","year":"2018","unstructured":"Ghanem WA, Jantan A. A cognitively inspired hybridization of artificial bee colony and dragonfly algorithms for training multi-layer perceptrons. Cogn Comput. 2018;10(6):1096\u2013134.","journal-title":"Cogn Comput"},{"issue":"13","key":"9665_CR13","doi-asserted-by":"publisher","first-page":"2232","DOI":"10.1016\/j.ins.2009.03.004","volume":"179","author":"E Rashedi","year":"2009","unstructured":"Rashedi E, Nezamabadi-Pour H, Saryazdi S. GSA: a gravitational search algorithm. Inf Sci. 2009;179(13):2232\u201348.","journal-title":"Inf Sci"},{"issue":"3","key":"9665_CR14","doi-asserted-by":"publisher","first-page":"727","DOI":"10.1007\/s11047-009-9175-3","volume":"9","author":"E Rashedi","year":"2010","unstructured":"Rashedi E, Nezamabadi-Pour H, Saryazdi S. BGSA: binary gravitational search algorithm. Nat Comput. 2010;9(3):727\u201345.","journal-title":"Nat Comput"},{"key":"9665_CR15","doi-asserted-by":"crossref","unstructured":"Rashedi E, Rashedi E, Nezamabadi-pour H. A comprehensive survey on gravitational search algorithm. Swarm and evolutionary computation, 2018","DOI":"10.1016\/j.swevo.2018.02.018"},{"key":"9665_CR16","first-page":"436","volume":"258","author":"M Shams","year":"2015","unstructured":"Shams M, Rashedi E, Hakimi A. Clustered-gravitational search algorithm and its application in parameter optimization of a low noise amplifier. Appl Math Comput. 2015;258:436\u201353.","journal-title":"Appl Math Comput"},{"issue":"5","key":"9665_CR17","doi-asserted-by":"publisher","first-page":"809","DOI":"10.1080\/18756891.2014.966990","volume":"7","author":"M Doraghinejad","year":"2014","unstructured":"Doraghinejad M, Nezamabadi-pour H. Black hole: a new operator for gravitational search algorithm. Int J Comput Intell Syst. 2014;7(5):809\u201326.","journal-title":"Int J Comput Intell Syst"},{"issue":"1","key":"9665_CR18","doi-asserted-by":"publisher","first-page":"72","DOI":"10.1515\/cait-2017-0006","volume":"17","author":"HA Kherabadi","year":"2017","unstructured":"Kherabadi HA, Mood SE, Javidi MM. Mutation: a new operator in gravitational search algorithm using fuzzy controller. Cybernet Inform Technol. 2017;17(1):72\u201386.","journal-title":"Cybernet Inform Technol"},{"issue":"14","key":"9665_CR19","doi-asserted-by":"publisher","first-page":"6459","DOI":"10.1016\/j.eswa.2014.04.015","volume":"41","author":"F Valdez","year":"2014","unstructured":"Valdez F, Melin P, Castillo O. A survey on nature-inspired optimization algorithms with fuzzy logic for dynamic parameter adaptation. Expert Syst Appl. 2014;41(14):6459\u201366.","journal-title":"Expert Syst Appl"},{"issue":"2","key":"9665_CR20","doi-asserted-by":"publisher","first-page":"2625","DOI":"10.1016\/j.asoc.2010.10.010","volume":"11","author":"F Valdez","year":"2011","unstructured":"Valdez F, Melin P, Castillo O. An improved evolutionary method with fuzzy logic for combining particle swarm optimization and genetic algorithms. Appl Soft Comput. 2011;11(2):2625\u201332.","journal-title":"Appl Soft Comput"},{"key":"9665_CR21","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/j.engappai.2014.07.003","volume":"36","author":"B-M Chang","year":"2014","unstructured":"Chang B-M, Tsai H-H, Shih J-S. Using fuzzy logic and particle swarm optimization to design a decision-based filter for cDNA microarray image restoration. Eng Appl Artif Intell. 2014;36:12\u201326.","journal-title":"Eng Appl Artif Intell"},{"key":"9665_CR22","unstructured":"Mood S, Rasshedi E, Javidi M. New functions for mass calculation in gravitational search algorithm. J Comput Sec. 2016. 2(3)."},{"key":"9665_CR23","doi-asserted-by":"crossref","unstructured":"Modieginyane KM, Letswamotse BB, Malekian R, Abu-Mahfouz AM. Software defined wireless sensor networks application opportunities for efficient network management: A survey. Computers & Electrical Engineering. 2018 Feb 1;66:274-87.","DOI":"10.1016\/j.compeleceng.2017.02.026"},{"issue":"11","key":"9665_CR24","doi-asserted-by":"publisher","first-page":"1796","DOI":"10.1109\/TNN.2011.2162000","volume":"22","author":"F Nie","year":"2011","unstructured":"Nie F, Zeng Z, Tsang IW, Xu D, Zhang C. Spectral embedded clustering: a framework for in-sample and out-of-sample spectral clustering. IEEE Trans Neural Netw. 2011;22(11):1796\u2013808.","journal-title":"IEEE Trans Neural Netw"},{"key":"9665_CR25","unstructured":"Heinzelman WR, Chandrakasan A, Balakrishnan H. Energy-efficient communication protocol for wireless microsensor networks. In System sciences, 2000. Proceedings of the 33rd annual Hawaii international conference on. 2000. IEEE."},{"issue":"3","key":"9665_CR26","doi-asserted-by":"publisher","first-page":"S8","DOI":"10.1109\/MCOM.2005.1404592","volume":"43","author":"SD Muruganathan","year":"2005","unstructured":"Muruganathan SD, Ma DCF, Bhasin RI, Fapojuwo AO. A centralized energy-efficient routing protocol for wireless sensor networks. IEEE Commun Mag. 2005;43(3):S8\u201313.","journal-title":"IEEE Commun Mag"},{"issue":"4","key":"9665_CR27","first-page":"30","volume":"134","author":"N Pradhan","year":"2016","unstructured":"Pradhan N, Sharma K, Singh VK. A survey on hierarchical clustering algorithm for wireless sensor networks. Energy. 2016;134(4):30\u20135.","journal-title":"Energy"},{"key":"9665_CR28","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1016\/j.cie.2016.08.028","volume":"101","author":"RM Curry","year":"2016","unstructured":"Curry RM, Smith JC. A survey of optimization algorithms for wireless sensor network lifetime maximization. Comput Ind Eng. 2016;101:145\u201366.","journal-title":"Comput Ind Eng"},{"key":"9665_CR29","doi-asserted-by":"crossref","unstructured":"Latiff NA, Tsimenidis CC, Sharif BS. Energy-aware clustering for wireless sensor networks using particle swarm optimization. Personal, Indoor and Mobile Radio Communications, 2007. PIMRC 2007. IEEE 18th International Symposium on. 2007. IEEE.","DOI":"10.1109\/PIMRC.2007.4394521"},{"key":"9665_CR30","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1016\/j.jnca.2016.11.001","volume":"78","author":"M Mirhosseini","year":"2017","unstructured":"Mirhosseini M, Barani F, Nezamabadi-pour H. QQIGSA: a quadrivalent quantum-inspired GSA and its application in optimal adaptive design of wireless sensor networks. J Netw Comput Appl. 2017;78:231\u201341.","journal-title":"J Netw Comput Appl"},{"key":"9665_CR31","unstructured":"B\u00e4ck T, Hoffmeister F. Extended selection mechanisms in genetic algorithms. 1991."},{"key":"9665_CR32","unstructured":"Blickle T, Thiele L. A comparison of selection schemes used in genetic algorithms. 1995, TIK-report."},{"key":"9665_CR33","unstructured":"Whitley LD. The genitor algorithm and selection pressure: why rank-based allocation of reproductive trials is best. in ICGA. 1989. Fairfax, VA."},{"issue":"2","key":"9665_CR34","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1109\/4235.771163","volume":"3","author":"X Yao","year":"1999","unstructured":"Yao X, Liu Y, Lin G. Evolutionary programming made faster. IEEE Trans Evol Comput. 1999;3(2):82\u2013102.","journal-title":"IEEE Trans Evol Comput"},{"key":"9665_CR35","doi-asserted-by":"crossref","unstructured":"Sastry K, Goldberg D, Kendall G. Genetic algorithms, in Search methodologies. 2005, Springer. 97\u2013125.","DOI":"10.1007\/0-387-28356-0_4"},{"issue":"200","key":"9665_CR36","doi-asserted-by":"publisher","first-page":"675","DOI":"10.1080\/01621459.1937.10503522","volume":"32","author":"M Friedman","year":"1937","unstructured":"Friedman M. The use of ranks to avoid the assumption of normality implicit in the analysis of variance. J Am Stat Assoc. 1937;32(200):675\u2013701.","journal-title":"J Am Stat Assoc"},{"issue":"10","key":"9665_CR37","doi-asserted-by":"publisher","first-page":"2044","DOI":"10.1016\/j.ins.2009.12.010","volume":"180","author":"S Garc\u00eda","year":"2010","unstructured":"Garc\u00eda S, Fern\u00e1ndez A, Luengo J, Herrera F. Advanced nonparametric tests for multiple comparisons in the design of experiments in computational intelligence and data mining: experimental analysis of power. Inf Sci. 2010;180(10):2044\u201364.","journal-title":"Inf Sci"},{"key":"9665_CR38","unstructured":"Abdi, H., Binomial distribution: binomial and sign tests. Encyclopedia of measurement and statistics, 2007. 1."},{"issue":"5","key":"9665_CR39","doi-asserted-by":"publisher","first-page":"945","DOI":"10.1109\/TEVC.2009.2014613","volume":"13","author":"J Zhang","year":"2009","unstructured":"Zhang J, Sanderson AC. JADE: adaptive differential evolution with optional external archive. IEEE Trans Evol Comput. 2009;13(5):945\u201358.","journal-title":"IEEE Trans Evol Comput"},{"key":"9665_CR40","unstructured":"Shi Y, Eberhart R. A modified particle swarm optimizer. In Evolutionary Computation Proceedings, 1998. IEEE World Congress on Computational Intelligence., The 1998 IEEE International Conference on. 1998. IEEE."},{"issue":"17","key":"9665_CR41","first-page":"9106","volume":"219","author":"H-C Tsai","year":"2013","unstructured":"Tsai H-C, Tyan YY, Wu YW, Lin YH. Gravitational particle swarm. Appl Math Comput. 2013;219(17):9106\u201317.","journal-title":"Appl Math Comput"},{"issue":"3","key":"9665_CR42","doi-asserted-by":"publisher","first-page":"539","DOI":"10.1016\/j.scient.2011.04.003","volume":"18","author":"S Sarafrazi","year":"2011","unstructured":"Sarafrazi S, Nezamabadi-Pour H, Saryazdi S. Disruption: a new operator in gravitational search algorithm. Scientia Iranica. 2011;18(3):539\u201348.","journal-title":"Scientia Iranica"},{"key":"9665_CR43","unstructured":"Li X, Engelbrecht A, Epitropakis MG. Benchmark functions for CEC\u20192013 special session and competition on niching methods for multimodal function optimization. RMIT University, Evolutionary Computation and Machine Learning Group, Australia, Tech. Rep, 2013."},{"key":"9665_CR44","unstructured":"Liang J et al. Problem definitions and evaluation criteria for the CEC 2013 special session on real-parameter optimization. Computational Intelligence Laboratory, Zhengzhou University, Zhengzhou, China and Nanyang Technological University, Singapore, Technical Report, 2013. 201212: 3\u201318."},{"key":"9665_CR45","doi-asserted-by":"crossref","unstructured":"Rodr\u00edguez-Fdez I et al. STAC: a web platform for the comparison of algorithms using statistical tests. In Fuzzy Systems (FUZZ-IEEE), 2015 IEEE International Conference on. 2015. IEEE.","DOI":"10.1109\/FUZZ-IEEE.2015.7337889"},{"issue":"2","key":"9665_CR46","doi-asserted-by":"publisher","first-page":"188","DOI":"10.1007\/s12559-012-9189-5","volume":"5","author":"J An","year":"2013","unstructured":"An J, Kang Q, Wang L, Wu Q. Mussels wandering optimization: an ecologically inspired algorithm for global optimization. Cogn Comput. 2013;5(2):188\u201399.","journal-title":"Cogn Comput"},{"key":"9665_CR47","unstructured":"Eberhart R, Kennedy J. A new optimizer using particle swarm theory. In Micro Machine and Human Science, 1995. MHS \u201995., Proceedings of the Sixth International Symposium on. 1995. IEEE."},{"issue":"5","key":"9665_CR48","doi-asserted-by":"publisher","first-page":"973","DOI":"10.1109\/TEVC.2009.2011992","volume":"13","author":"S He","year":"2009","unstructured":"He S, Wu QH, Saunders J. Group search optimizer: an optimization algorithm inspired by animal searching behavior. IEEE Trans Evol Comput. 2009;13(5):973\u201390.","journal-title":"IEEE Trans Evol Comput"},{"key":"9665_CR49","unstructured":"Kumar S. Energy efficient clustering algorithm for WSN. In Signal Processing and Integrated Networks (SPIN), 2015 2nd International Conference on. 2015. IEEE."},{"issue":"2","key":"9665_CR50","doi-asserted-by":"publisher","first-page":"2633","DOI":"10.1007\/s11277-017-4627-z","volume":"97","author":"MT Mekonnen","year":"2017","unstructured":"Mekonnen MT, Rao KN. Cluster optimization based on metaheuristic algorithms in wireless sensor networks. Wirel Pers Commun. 2017;97(2):2633\u201347.","journal-title":"Wirel Pers Commun"},{"issue":"8","key":"9665_CR51","doi-asserted-by":"publisher","first-page":"4264","DOI":"10.1109\/JSEN.2015.2416208","volume":"15","author":"J RejinaParvin","year":"2015","unstructured":"RejinaParvin J, Vasanthanayaki C. Particle swarm optimization-based clustering by preventing residual nodes in wireless sensor networks. IEEE Sensors J. 2015;15(8):4264\u201374.","journal-title":"IEEE Sensors J"},{"key":"9665_CR52","doi-asserted-by":"crossref","unstructured":"Kennedy J. Particle swarm optimization. Encyclopedia of machine learning. 2011, Springer. 760\u2013766.","DOI":"10.1007\/978-0-387-30164-8_630"}],"container-title":["Cognitive Computation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12559-019-09665-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s12559-019-09665-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12559-019-09665-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,24]],"date-time":"2022-09-24T04:17:30Z","timestamp":1663993050000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s12559-019-09665-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,18]]},"references-count":52,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2019,10]]}},"alternative-id":["9665"],"URL":"https:\/\/doi.org\/10.1007\/s12559-019-09665-9","relation":{},"ISSN":["1866-9956","1866-9964"],"issn-type":[{"value":"1866-9956","type":"print"},{"value":"1866-9964","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,7,18]]},"assertion":[{"value":"12 December 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 July 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 July 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with Ethical Standards"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of Interest"}},{"value":"Informed consent was not required as no human or animals were involved.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Informed Consent"}},{"value":"This article does not contain any studies with human or animal subjects performed by any of the authors.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Human and Animal Rights"}}]}}