{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T15:27:02Z","timestamp":1772119622969,"version":"3.50.1"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2023,8,25]],"date-time":"2023-08-25T00:00:00Z","timestamp":1692921600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,8,25]],"date-time":"2023-08-25T00:00:00Z","timestamp":1692921600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61973261"],"award-info":[{"award-number":["61973261"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61872311"],"award-info":[{"award-number":["61872311"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61973261"],"award-info":[{"award-number":["61973261"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61872311"],"award-info":[{"award-number":["61872311"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61973261"],"award-info":[{"award-number":["61973261"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61872311"],"award-info":[{"award-number":["61872311"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61973261"],"award-info":[{"award-number":["61973261"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61872311"],"award-info":[{"award-number":["61872311"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003787","name":"Natural Science Foundation of Hebei Province","doi-asserted-by":"crossref","award":["A2020203010"],"award-info":[{"award-number":["A2020203010"]}],"id":[{"id":"10.13039\/501100003787","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003787","name":"Natural Science Foundation of Hebei Province","doi-asserted-by":"crossref","award":["A2020203010"],"award-info":[{"award-number":["A2020203010"]}],"id":[{"id":"10.13039\/501100003787","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003787","name":"Natural Science Foundation of Hebei Province","doi-asserted-by":"crossref","award":["A2020203010"],"award-info":[{"award-number":["A2020203010"]}],"id":[{"id":"10.13039\/501100003787","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003787","name":"Natural Science Foundation of Hebei Province","doi-asserted-by":"crossref","award":["A2020203010"],"award-info":[{"award-number":["A2020203010"]}],"id":[{"id":"10.13039\/501100003787","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Project of Hebei Key Laboratory of Software Engineering","award":["22567637H"],"award-info":[{"award-number":["22567637H"]}]},{"name":"Project of Hebei Key Laboratory of Software Engineering","award":["22567637H"],"award-info":[{"award-number":["22567637H"]}]},{"name":"Project of Hebei Key Laboratory of Software Engineering","award":["22567637H"],"award-info":[{"award-number":["22567637H"]}]},{"name":"Project of Hebei Key Laboratory of Software Engineering","award":["22567637H"],"award-info":[{"award-number":["22567637H"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cluster Comput"],"published-print":{"date-parts":[[2024,6]]},"DOI":"10.1007\/s10586-023-04111-w","type":"journal-article","created":{"date-parts":[[2023,8,25]],"date-time":"2023-08-25T05:02:14Z","timestamp":1692939734000},"page":"2901-2915","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Performance analysis of P2p network content delivery based on queueing model"],"prefix":"10.1007","volume":"27","author":[{"given":"Zhanyou","family":"Ma","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Miao","family":"Yan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rong","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shunzhi","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,8,25]]},"reference":[{"key":"4111_CR1","doi-asserted-by":"crossref","unstructured":"Loo, B.T., Hellerstein, J.M., Huebsch, R., Shenker, S., Stoica, I.: Enhancing P2P file-sharing with an internet-scale query processor. In: Proceedings of the Thirtieth Interbational Conference on Very Large Databases, Toronto, Canada, pp.\u00a0432-443 (2004)","DOI":"10.1016\/B978-012088469-8\/50040-1"},{"issue":"2","key":"4111_CR2","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1360\/jos180391","volume":"18","author":"JG Luo","year":"2007","unstructured":"Luo, J.G., Zhang, M., Zhao, L., Yang, S.: A large-scale live video streaming system based on P2P networks. J. Softw. 18(2), 391\u2013399 (2007)","journal-title":"J. Softw."},{"issue":"4","key":"4111_CR3","doi-asserted-by":"publisher","first-page":"1021","DOI":"10.1109\/TC.2013.149","volume":"63","author":"K Chen","year":"2014","unstructured":"Chen, K., Choffnes, D.R., Potharaju, R., Chen, Y., Bustamante, F., Pei, D., Zhao, Y.: Where the sidewalk ends: Extending the Internet aS graph using traceroutes from P2P users. IEEE Trans. Comput. 63(4), 1021\u20131036 (2014)","journal-title":"IEEE Trans. Comput."},{"key":"4111_CR4","doi-asserted-by":"crossref","unstructured":"Zhou, Y.P., Chiu, D.M., John, C.S.: A simple model for analyzing P2P streaming protocols. In: IEEE International Conference on Network Protocols, Beijing, China, pp.\u00a0226-235 (2007)","DOI":"10.1109\/ICNP.2007.4375853"},{"key":"4111_CR5","doi-asserted-by":"crossref","unstructured":"Susitaival, R., Aalto, S.: Analyzing the file availability and download time in a P2P file sharing system. In: IEEE Next Generation Internet Networks, Trondheim. Norway, pp.\u00a088\u201395 (2007)","DOI":"10.1109\/NGI.2007.371202"},{"key":"4111_CR6","doi-asserted-by":"crossref","unstructured":"Guo, Y., Liang, C., Liu, Y.: AQCS: Adaptive queue-based chunk scheduling for P2P live streaming. In: Proceedings of the Twenty-Fifth International Conference, Helsinki, Finland, pp.\u00a0433-444 (2008)","DOI":"10.1007\/978-3-540-79549-0_38"},{"issue":"2","key":"4111_CR7","doi-asserted-by":"publisher","first-page":"717","DOI":"10.1007\/s12083-019-00795-3","volume":"13","author":"B Priya","year":"2020","unstructured":"Priya, B., Gnanasekaran, T.: To optimize load of hybrid P2P cloud data-center using efficient load optimization and resource minimization algorithm. Peer-to-Peer Netw. Appl. 13(2), 717\u2013728 (2020)","journal-title":"Peer-to-Peer Netw. Appl."},{"issue":"6","key":"4111_CR8","doi-asserted-by":"publisher","first-page":"1354","DOI":"10.1007\/s12083-016-0539-z","volume":"10","author":"QH Du","year":"2017","unstructured":"Du, Q.H., Liu, M., Xu, Q., Song, H., Sun, L., Ren, P.: Interference-constrained routing over P2P-share enabled multi-hop D2D networks. Peer-to-Peer Netw. Appl. 10(6), 1354\u20131370 (2017)","journal-title":"Peer-to-Peer Netw. Appl."},{"key":"4111_CR9","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2023.136303","volume":"393","author":"GQ Sun","year":"2023","unstructured":"Sun, G.Q., Zhang, Z.Y., Zhou, Y.Z., Han, H.T., Zang, H.X., Wei, Z.N.: Bi-level model for integrated energy service providers in joint electricity and carbon P2P market. J. Clean. Prod. 393, 136303 (2023)","journal-title":"J. Clean. Prod."},{"issue":"5","key":"4111_CR10","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1109\/TDSC.2015.2420561","volume":"13","author":"A Fattaholmanan","year":"2016","unstructured":"Fattaholmanan, A., Rabiee, H.R.: A large-scale active measurement Study on the effectiveness of piece-attack on bitTorrent networks. IEEE Trans. Depend. Secur. Comput. 13(5), 509\u2013518 (2016)","journal-title":"IEEE Trans. Depend. Secur. Comput."},{"issue":"1","key":"4111_CR11","doi-asserted-by":"publisher","first-page":"392","DOI":"10.1007\/s12083-020-00971-w","volume":"14","author":"SP Sankar","year":"2021","unstructured":"Sankar, S.P., Subash, T.D., Vishwanath, N., Geroge, D.: Security improvement in block chain technique enabled peer to peer network for beyond 5G and internet of things. Peer-to-Peer Netw. Appl. 14(1), 392\u2013402 (2021)","journal-title":"Peer-to-Peer Netw. Appl."},{"issue":"2","key":"4111_CR12","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1007\/s12083-012-0170-6","volume":"7","author":"A Bradai","year":"2014","unstructured":"Bradai, A., Abbasi, U., Landa, R., Ahmed, T.: An efficient playout smoothing mechanism for layered streaming in P2P networks. Peer-to-Peer Netw. Appl. 7(2), 101\u2013117 (2014)","journal-title":"Peer-to-Peer Netw. Appl."},{"issue":"11","key":"4111_CR13","first-page":"91","volume":"41","author":"ZR Xu","year":"2011","unstructured":"Xu, Z.R., Li, M.J., Zhu, Y.J.: M\/M\/$$c$$ queue with negative customers and multiple working vacations. Math. Pract. Theory 41(11), 91\u201398 (2011)","journal-title":"Math. Pract. Theory"},{"issue":"1","key":"4111_CR14","first-page":"23","volume":"46","author":"ZY Ma","year":"2018","unstructured":"Ma, Z.Y., Wang, W.B., Wang, Z., Cao, J.: The discrete time working vacation queue with non-preemptive priority and variable service rates. J. Henan Normal Univ. (Natural Science Edition) 46(1), 23\u201328 (2018)","journal-title":"J. Henan Normal Univ. (Natural Science Edition)"},{"issue":"4","key":"4111_CR15","first-page":"343","volume":"45","author":"Y Wang","year":"2021","unstructured":"Wang, Y., Li, W., Chen, M.P., Chen, L., Jin, S.F.: Task offloading strategy with clustered virtual machine and sleep mechanism in MEC. J. Yanshan Univ. 45(4), 343\u2013351 (2021)","journal-title":"J. Yanshan Univ."},{"issue":"12","key":"4111_CR16","first-page":"3253","volume":"42","author":"YT Chen","year":"2022","unstructured":"Chen, Y.T., Chen, J.Y.: Task offloading strategy with clustered virtual machine and sleep mechanism in MEC. J. Yanshan Univ. 42(12), 3253\u20133272 (2022)","journal-title":"J. Yanshan Univ."},{"issue":"10","key":"4111_CR17","doi-asserted-by":"publisher","first-page":"2024","DOI":"10.3390\/sym14102024","volume":"14","author":"MMN GnanaSekar","year":"2022","unstructured":"GnanaSekar, M.M.N., Kandaiyan, I.: Analysis of an M\/G\/1 retrial queue with delayed repair and feedback under working vacation policy with impatient customers. Symmetry 14(10), 2024\u20132042 (2022)","journal-title":"Symmetry"},{"issue":"11","key":"4111_CR18","doi-asserted-by":"publisher","first-page":"915","DOI":"10.17485\/IJST\/v14i11.1167","volume":"14","author":"N Singla","year":"2021","unstructured":"Singla, N., Kaur, H.: A two-state retrial queueing model with feedback having two identical parallel servers. Indian J. Sci. Technol. 14(11), 915\u2013931 (2021)","journal-title":"Indian J. Sci. Technol."},{"issue":"3","key":"4111_CR19","first-page":"82","volume":"51","author":"QQ Ye","year":"2023","unstructured":"Ye, Q.Q., Chen, Y.: Performance analysis of M\/M\/1 retrial queuing system with working breakdomns. J. Henan Normal Univ. 51(3), 82\u201389 (2023)","journal-title":"J. Henan Normal Univ."},{"issue":"1","key":"4111_CR20","first-page":"1","volume":"9","author":"DC Pandey","year":"2014","unstructured":"Pandey, D.C., Pal, A.K.: Delay analysis of a discrete-time non-preemptive priority queue with priority jumps. Appl. Appl. Math. 9(1), 1\u201312 (2014)","journal-title":"Appl. Appl. Math."},{"issue":"3","key":"4111_CR21","doi-asserted-by":"publisher","first-page":"111","DOI":"10.3103\/S0027132216030050","volume":"71","author":"SZ Aibatov","year":"2016","unstructured":"Aibatov, S.Z.: System with priority queue and unreliable server. Moscow Univ. Math. Bull. 71(3), 111\u2013114 (2016)","journal-title":"Moscow Univ. Math. Bull."},{"issue":"3","key":"4111_CR22","first-page":"96","volume":"35","author":"ZY Ma","year":"2018","unstructured":"Ma, Z.Y., Wang, W.B., Zheng, X.M.: The M\/M\/$$c$$ queueing model with preemptive priority and multiple synchronous working vacation. J. Chongqing Normal Univ. (Natural Science) 35(3), 96\u2013100 (2018)","journal-title":"J. Chongqing Normal Univ. (Natural Science)"},{"key":"4111_CR23","first-page":"47","volume":"2","author":"IK Valentina","year":"2022","unstructured":"Valentina, I.K.: A queueing system with a batch Markovian arrival process and varying priorities. J. Belarusian State Univ. 2, 47\u201356 (2022)","journal-title":"J. Belarusian State Univ."},{"issue":"3","key":"4111_CR24","first-page":"25","volume":"37","author":"JH Bian","year":"2009","unstructured":"Bian, J.H., Yin, W.Y., Pang, X.M.: Distribution function of system time of M\/M\/1 feedback queueing system under nonpreemptive priority discipline. J. Jianghan Univ. (Natural Science) 37(3), 25\u201328 (2009)","journal-title":"J. Jianghan Univ. (Natural Science)"},{"issue":"3","key":"4111_CR25","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1080\/16843703.2015.11673382","volume":"12","author":"Y Zhao","year":"2015","unstructured":"Zhao, Y., Jin, S.F., Yue, W.Y.: An adjustable channel bonding strategy in centralized cognitive radio networks and its performance optimization. Qual. Technol. Quant. Manag. 12(3), 293\u2013312 (2015)","journal-title":"Qual. Technol. Quant. Manag."},{"issue":"4","key":"4111_CR26","first-page":"114","volume":"42","author":"GX Zhao","year":"2019","unstructured":"Zhao, G.X., Jin, S.F., Ma, C.B., Cao, J., Xu, L.: Analysis of cloud service systems with variable number of servers. J. Beijing Univ. Posts Telecommun. 42(4), 114\u2013120 (2019)","journal-title":"J. Beijing Univ. Posts Telecommun."},{"issue":"3","key":"4111_CR27","first-page":"419","volume":"39","author":"WB Zang","year":"2021","unstructured":"Zang, W.B., Li, J.X.: Queue model of contact center for customer abandon and variable number of reception desks. J. Appl. Sci. 39(3), 419\u2013432 (2021)","journal-title":"J. Appl. Sci."},{"key":"4111_CR28","first-page":"81","volume-title":"Matrix-Geometric Solutions in Stochastic Models","author":"MF Neuts","year":"1981","unstructured":"Neuts, M.F.: Matrix-Geometric Solutions in Stochastic Models, pp. 81\u2013141. Johns Hokpins University Press, Baltimore (1981)"},{"issue":"10","key":"4111_CR29","doi-asserted-by":"publisher","first-page":"1007","DOI":"10.1057\/jors.1986.170","volume":"37","author":"B Vinod","year":"1986","unstructured":"Vinod, B.: Exponential queues with server vacations. J. Oper. Res. Soc. 37(10), 1007\u20131014 (1986)","journal-title":"J. Oper. Res. Soc."},{"issue":"1","key":"4111_CR30","first-page":"296","volume":"46","author":"SF Jin","year":"2016","unstructured":"Jin, S.F., Li, Y., Liu, J.P., Huo, Z.: Strategies of nash equilibrium and social optimization for online mechanisms of P2P nodes. J. Jilin Univ. (Engineering and Technology Edition) 46(1), 296\u2013302 (2016)","journal-title":"J. Jilin Univ. (Engineering and Technology Edition)"}],"container-title":["Cluster Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10586-023-04111-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10586-023-04111-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10586-023-04111-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,29]],"date-time":"2024-05-29T17:09:56Z","timestamp":1717002596000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10586-023-04111-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,8,25]]},"references-count":30,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2024,6]]}},"alternative-id":["4111"],"URL":"https:\/\/doi.org\/10.1007\/s10586-023-04111-w","relation":{"has-preprint":[{"id-type":"doi","id":"10.21203\/rs.3.rs-2368470\/v1","asserted-by":"object"}]},"ISSN":["1386-7857","1573-7543"],"issn-type":[{"value":"1386-7857","type":"print"},{"value":"1573-7543","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,8,25]]},"assertion":[{"value":"12 December 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 June 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 July 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 August 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}