{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T10:21:35Z","timestamp":1773656495278,"version":"3.50.1"},"reference-count":22,"publisher":"Pleiades Publishing Ltd","issue":"5","license":[{"start":{"date-parts":[[2021,5,1]],"date-time":"2021-05-01T00:00:00Z","timestamp":1619827200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,5,1]],"date-time":"2021-05-01T00:00:00Z","timestamp":1619827200000},"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":["Autom Remote Control"],"published-print":{"date-parts":[[2021,5]]},"DOI":"10.1134\/s0005117921050064","type":"journal-article","created":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T09:22:54Z","timestamp":1622539374000},"page":"812-826","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["A Customer Service Model in an Adaptive-Modulation Mobile Communication Cell with Allowance for Random Environment"],"prefix":"10.1134","volume":"82","author":[{"family":"Bin Sun","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. A.","family":"Dudin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"O. S.","family":"Dudina","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. N.","family":"Dudin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"137","published-online":{"date-parts":[[2021,6,1]]},"reference":[{"issue":"4","key":"2128_CR1","doi-asserted-by":"publisher","first-page":"2142","DOI":"10.1109\/COMST.2014.2326303","volume":"16","author":"Y.L. Lee","year":"2014","unstructured":"Lee, Y.L. et al., Recent advances in radio resource management for\nheterogeneous LTE\/LTE-A networks, IEEE Commun. Surv. &\nTutorials, 2014, vol. 16, no. 4, pp. 2142\u20132180.","journal-title":"IEEE Commun. Surv. & Tutorials"},{"issue":"3\u20134","key":"2128_CR2","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1007\/s11134-015-9466-6","volume":"82","author":"P. Cao","year":"2016","unstructured":"Cao, P. and Xie, J., Optimal control of a multiclass queueing system when\ncustomers can change types, Queueing Syst., 2016,\nvol. 82, no. 3\u20134, pp. 285\u2013313.","journal-title":"Queueing Syst."},{"key":"2128_CR3","first-page":"4325","volume":"65","author":"S. Dudin","year":"2017","unstructured":"Dudin, S. and Kim, C., Analysis of multi-server queue with spatial generation\nof customers and service rate depending on customers\u2019 location as a model of cell operation,\nIEEE T. Commun., 2017, vol. 65,\npp. 4325\u20134333.","journal-title":"IEEE T. Commun."},{"key":"2128_CR4","volume-title":"Vvedenie v teoriyu massovogo obsluzhivaniya (Introduction in Queueing Theory)","author":"B.V. Gnedenko","year":"1963","unstructured":"Gnedenko, B.V. and Kovalenko, I.N., Vvedenie v teoriyu massovogo\nobsluzhivaniya (Introduction in Queueing Theory), Kiev:\nKVIRTU, 1963."},{"key":"2128_CR5","first-page":"674","volume":"269","author":"A. Dudin","year":"2015","unstructured":"Dudin, A. et al., Priority retrial queueing model operating in random\nenvironment with varying number and reservation of servers, Appl.\nMath. Comput., 2015, vol. 269, pp. 674\u2013690.","journal-title":"Appl. Math. Comput."},{"key":"2128_CR6","doi-asserted-by":"crossref","unstructured":"He, Q.M., Queues with marked customers, in Advances in Applied Probability, 1996,\npp. 567\u2013587.","DOI":"10.2307\/1428072"},{"key":"2128_CR7","first-page":"21","volume":"1","author":"S.R. Chakravarthy","year":"2001","unstructured":"Chakravarthy, S.R., The batch Markovian arrival process: a review and future\nwork, Adv. Probab. Theory Stochastic Process., 2001,\nvol. 1, pp. 21\u201349.","journal-title":"Adv. Probab. Theory Stochastic Process."},{"issue":"1","key":"2128_CR8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1080\/15326349108807174","volume":"7","author":"D.M. Lucantoni","year":"1991","unstructured":"Lucantoni, D.M., New results on the single server queue with a batch\nMarkovian arrival process, Commun. Stat. Stochastic\nModels, 1991, vol. 7, no. 1, pp. 1\u201346.","journal-title":"Commun. Stat. Stochastic Models"},{"issue":"8","key":"2128_CR9","doi-asserted-by":"publisher","first-page":"1361","DOI":"10.1134\/S000511791708001X","volume":"78","author":"V.M. Vishnevskii","year":"2017","unstructured":"Vishnevskii, V.M. and Dudin, A.N., Queueing systems with correlated arrival\nflows and their applications to modeling telecommunication networks, Autom. Remote Control, 2017, vol. 78, no. 8,\npp. 1361\u20131403.","journal-title":"Autom. Remote Control"},{"key":"2128_CR10","volume-title":"Kronecker Products and Matrix Calculus with Applications","author":"A. Graham","year":"2018","unstructured":"Graham, A., Kronecker Products and Matrix\nCalculus with Applications, New York: Courier Dover\nPubl., 2018."},{"key":"2128_CR11","unstructured":"Neuts, M.F., Matrix-Geometric Solutions in\nStochastic Models: an Algorithmic Approach, Courier Corp,\n1994."},{"key":"2128_CR12","volume-title":"Applied Probability and Queues. Vol. 51","author":"S. Asmussen","year":"2008","unstructured":"Asmussen, S., Applied Probability and Queues.\nVol. 51 , New York: Springer Sci. & Bus. Media, 2008."},{"issue":"1","key":"2128_CR13","doi-asserted-by":"publisher","first-page":"170","DOI":"10.1016\/j.ejor.2013.12.012","volume":"235","author":"C. Kim","year":"2014","unstructured":"Kim, C. et al., Tandem queueing system with infinite and finite intermediate\nbuffers and generalized phase-type service time distribution, Eur.\nJ. Oper. Res., 2014, vol. 235, no. 1, pp. 170\u2013179.","journal-title":"Eur. J. Oper. Res."},{"issue":"2","key":"2128_CR14","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1007\/s10479-014-1626-2","volume":"239","author":"A. Dudin","year":"2016","unstructured":"Dudin, A. et al., Multi-server queueing system with a generalized phase-type\nservice time distribution as a model of call center with a call-back option, Ann. Oper. Res., 2016, vol. 239, no. 2,\npp. 401\u2013428.","journal-title":"Ann. Oper. Res."},{"key":"2128_CR15","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1016\/j.peva.2018.05.001","volume":"123","author":"M. Brazenas","year":"2018","unstructured":"Brazenas, M., Horvath, G., and Telek, M., Parallel algorithms for fitting\nMarkov arrival processes, Perform. Eval., 2018, vol. 123,\npp. 50\u201367.","journal-title":"Perform. Eval."},{"key":"2128_CR16","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1007\/s11134-017-9514-5","volume":"85","author":"P. Buchholz","year":"2017","unstructured":"Buchholz, P. and Kriege, J., Fitting correlated arrival and service times and\nrelated queueing performance, Queueing Syst., 2017,\nvol. 85, pp. 337\u2013359.","journal-title":"Queueing Syst."},{"key":"2128_CR17","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1007\/978-3-030-43024-5_11","volume":"12040","author":"A. Blume","year":"2020","unstructured":"Blume, A., Buchholz, P., and Kriege, J., Parallelization of EM-algorithms for\nMarkovian arrival processes, Lect. Notes Comput. Sci.,\n2020, vol. 12040, pp. 173\u2013189.","journal-title":"Lect. Notes Comput. Sci."},{"key":"2128_CR18","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1007\/978-3-030-43024-5_10","volume":"12040","author":"H. Daduna","year":"2020","unstructured":"Daduna, H., Graph-based mobility models: asymptotic and stationary node\ndistribution, Lect. Notes Comput. Sci., 2020, vol. 12040,\npp. 155\u2013172.","journal-title":"Lect. Notes Comput. Sci."},{"key":"2128_CR19","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/j.comcom.2016.05.003","volume":"95","author":"Y. Leo","year":"2016","unstructured":"Leo, Y. et al., Call detail records to characterize usages and mobility events of\nphone users, Comput. Commun., 2016, vol. 95,\npp. 43\u201353.","journal-title":"Comput. Commun."},{"issue":"3","key":"2128_CR20","doi-asserted-by":"publisher","first-page":"393","DOI":"10.1080\/15326348508807020","volume":"1","author":"V. Ramaswami","year":"1985","unstructured":"Ramaswami, V. and Lucantoni, D.M., Algorithms for the multi-server queue\nwith phase type service, Stochastic Models, 1985, vol. 1,\nno. 3, pp. 393\u2013417.","journal-title":"Stochastic Models"},{"issue":"3","key":"2128_CR21","doi-asserted-by":"publisher","first-page":"958","DOI":"10.1016\/j.apm.2012.03.021","volume":"37","author":"C. Kim","year":"2013","unstructured":"Kim, C. et al., Queueing system $$MAP\/PH\/N\/N+R\n$$ with impatient heterogeneous customers as a model\nof call center, Appl. Math. Model., 2013, vol. 37, no. 3,\npp. 958\u2013976.","journal-title":"Appl. Math. Model."},{"issue":"2","key":"2128_CR22","doi-asserted-by":"publisher","first-page":"744","DOI":"10.1109\/TWC.2019.2948166","volume":"19","author":"C. Kim","year":"2020","unstructured":"Kim, C. et al., Mathematical models for the operation of a cell with\nbandwidth sharing and moving users, IEEE Trans. Wireless\nCommun., 2020, vol. 19, no. 2, pp. 744\u2013755.","journal-title":"IEEE Trans. Wireless Commun."}],"container-title":["Automation and Remote Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117921050064.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0005117921050064","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117921050064.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T22:34:31Z","timestamp":1773614071000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0005117921050064"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,5]]},"references-count":22,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2021,5]]}},"alternative-id":["2128"],"URL":"https:\/\/doi.org\/10.1134\/s0005117921050064","relation":{},"ISSN":["0005-1179","1608-3032"],"issn-type":[{"value":"0005-1179","type":"print"},{"value":"1608-3032","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,5]]},"assertion":[{"value":"27 October 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 December 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 January 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 June 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}