{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T18:36:12Z","timestamp":1780511772534,"version":"3.54.1"},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540876991","type":"print"},{"value":"9783540877004","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008]]},"DOI":"10.1007\/978-3-540-87700-4_88","type":"book-chapter","created":{"date-parts":[[2008,9,13]],"date-time":"2008-09-13T11:50:04Z","timestamp":1221306604000},"page":"889-898","source":"Crossref","is-referenced-by-count":50,"title":["Theoretical Analysis of Initial Particle Swarm Behavior"],"prefix":"10.1007","author":[{"given":"Sabine","family":"Helwig","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Rolf","family":"Wanka","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"key":"88_CR1","volume-title":"Swarm Intelligence","author":"J. Kennedy","year":"2001","unstructured":"Kennedy, J., Eberhart, R.C.: Swarm Intelligence. Morgan Kaufmann, San Francisco (2001)"},{"key":"88_CR2","doi-asserted-by":"crossref","unstructured":"Clerc, M.: Confinements and Biases in Particle Swarm Optimization (2006), http:\/\/clerc.maurice.free.fr\/pso\/","DOI":"10.1002\/9780470612163"},{"key":"88_CR3","doi-asserted-by":"crossref","unstructured":"Alvarez-Benitez, J.E., Everson, R.M., Fieldsend, J.E.: A MOPSO Algorithm Based Exclusively on Pareto Dominance Concepts. In: Evolutionlary Multi-Criterion Optimization, pp. 459\u2013473 (2005)","DOI":"10.1007\/978-3-540-31880-4_32"},{"key":"88_CR4","unstructured":"Zhang, W.J., Xie, X.F., Bi, D.C.: Handling Boundary Constraints for Numerical Optimization by Particle Swarm Flying in Periodic Search Space. In: Proceedings of the IEEE Congress on Evol. Computation, vol.\u00a02, pp. 2307\u20132311 (2004)"},{"issue":"2","key":"88_CR5","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1109\/TAP.2004.823969","volume":"52","author":"J. Robinson","year":"2004","unstructured":"Robinson, J., Rahmat-Samii, Y.: Particle Swarm Optimization in Electromagnetics. IEEE Transactions on Antennas and Propagation\u00a052(2), 397\u2013407 (2004)","journal-title":"IEEE Transactions on Antennas and Propagation"},{"key":"88_CR6","doi-asserted-by":"crossref","unstructured":"Bratton, D., Kennedy, J.: Defining a Standard for Particle Swarm Optimization. In: Proc. IEEE Swarm Intelligence Symp., pp. 120\u2013127 (2007)","DOI":"10.1109\/SIS.2007.368035"},{"key":"88_CR7","doi-asserted-by":"crossref","unstructured":"Clerc, M.: Particle Swarm Optimization. ISTE Ltd (2006)","DOI":"10.1002\/9780470612163"},{"issue":"1","key":"88_CR8","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1109\/4235.985692","volume":"6","author":"M. Clerc","year":"2002","unstructured":"Clerc, M., Kennedy, J.: The Particle Swarm - Explosion, Stability, and Convergence in a Multidimensional Complex Space. IEEE Transactions on Evolutionary Computation\u00a06(1), 58\u201373 (2002)","journal-title":"IEEE Transactions on Evolutionary Computation"},{"issue":"6","key":"88_CR9","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1016\/S0020-0190(02)00447-7","volume":"85","author":"I.C. Trelea","year":"2003","unstructured":"Trelea, I.C.: The particle swarm optimization algorithm: convergence analysis and parameter selection. Information Processing Letters\u00a085(6), 317\u2013325 (2003)","journal-title":"Information Processing Letters"},{"issue":"1","key":"88_CR10","doi-asserted-by":"publisher","first-page":"8","DOI":"10.1016\/j.ipl.2006.10.005","volume":"102","author":"M. Jiang","year":"2007","unstructured":"Jiang, M., Luo, Y.P., Yang, S.Y.: Stochastic convergence analysis and parameter selection of the standard particle swarm optimization algorithm. Information Processing Letters\u00a0102(1), 8\u201316 (2007)","journal-title":"Information Processing Letters"},{"key":"88_CR11","unstructured":"Clerc, M., et al.: Standard PSO 2007 (2007), http:\/\/www.particleswarm.info (standard_pso_2007.c)"},{"key":"88_CR12","doi-asserted-by":"crossref","unstructured":"Helwig, S., Wanka, R.: Particle Swarm Optimization in High-Dimensional Bounded Search Spaces. In: Proc. IEEE Swarm Intelligence Symp., pp. 198\u2013205 (2007)","DOI":"10.1109\/SIS.2007.368046"},{"key":"88_CR13","volume-title":"Fundamentals of Computational Swarm Intelligence","author":"A.P. Engelbrecht","year":"2005","unstructured":"Engelbrecht, A.P.: Fundamentals of Computational Swarm Intelligence. John Wiley and Sons Ltd, Chichester (2005)"},{"issue":"3","key":"88_CR14","doi-asserted-by":"publisher","first-page":"689","DOI":"10.1023\/A:1022483715767","volume":"54","author":"D. Bradley","year":"2002","unstructured":"Bradley, D., Gupta, R.: On the Distribution of the Sum of n Non-Identically Distributed Uniform Random Variables. Annals of the Institute of Statistical Mathematics\u00a054(3), 689\u2013700 (2002)","journal-title":"Annals of the Institute of Statistical Mathematics"},{"key":"88_CR15","unstructured":"Suganthan, P.N., Hansen, N., Liang, J.J., Deb, K., Chen, Y., Auger, A., Tiwari, S.: Problem Definitions and Evaluation Criteria for the CEC 2005 Special Session on Real-Parameter Optimization. KanGAL Report 2005005, Nanyang Technological University, Singapore (2005)"},{"key":"88_CR16","doi-asserted-by":"crossref","unstructured":"Kennedy, J., Mendes, R.: Population Structure and Particle Swarm Performance. In: Proceedings of the IEEE Congress on Evol. Computation, pp. 1671\u20131676 (2002)","DOI":"10.1109\/CEC.2002.1004493"}],"container-title":["Lecture Notes in Computer Science","Parallel Problem Solving from Nature \u2013 PPSN X"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-87700-4_88","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T00:28:37Z","timestamp":1557793717000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-87700-4_88"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008]]},"ISBN":["9783540876991","9783540877004"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-87700-4_88","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008]]}}}