{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T18:37:24Z","timestamp":1726079844932},"publisher-location":"Cham","reference-count":17,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030450922"},{"type":"electronic","value":"9783030450939"}],"license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020]]},"DOI":"10.1007\/978-3-030-45093-9_18","type":"book-chapter","created":{"date-parts":[[2020,4,14]],"date-time":"2020-04-14T23:03:45Z","timestamp":1586905425000},"page":"143-149","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Bounds on the Rate of Convergence for Nonstationary $$M^X\/M_n\/1$$ Queue with Catastrophes and State-Dependent Control at Idle Time"],"prefix":"10.1007","author":[{"given":"Alexander","family":"Zeifman","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yacov","family":"Satin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ksenia","family":"Kiseleva","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tatiana","family":"Panfilova","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anastasia","family":"Kryukova","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Galina","family":"Shilova","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander","family":"Sipin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Elena","family":"Fokicheva","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,4,15]]},"reference":[{"issue":"1","key":"18_CR1","doi-asserted-by":"publisher","first-page":"192","DOI":"10.2307\/3215186","volume":"34","author":"A Chen","year":"1997","unstructured":"Chen, A., Renshaw, E.: The $$M\/M\/1$$ queue with mass exodus and mass arrivals when empty. J. Appl. Probab. 34(1), 192\u2013207 (1997)","journal-title":"J. Appl. Probab."},{"issue":"2","key":"18_CR2","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1017\/S0001867800013586","volume":"36","author":"A Chen","year":"2004","unstructured":"Chen, A., Renshaw, E.: Markovian bulk-arriving queues with state-dependent control at idle time. Adv. Appl. Probab. 36(2), 499\u2013524 (2004)","journal-title":"Adv. Appl. Probab."},{"key":"18_CR3","doi-asserted-by":"publisher","DOI":"10.1090\/mmono\/043","volume-title":"Stability of Solutions of Differential Equations in Banach Space","author":"JL Daleckii","year":"2002","unstructured":"Daleckii, J.L., Krein, M.G.: Stability of Solutions of Differential Equations in Banach Space, vol. 43. American Mathematical Society, Providence (2002)"},{"issue":"14","key":"18_CR4","doi-asserted-by":"publisher","first-page":"2248","DOI":"10.1016\/j.spl.2008.01.093","volume":"78","author":"A Crescenzo Di","year":"2008","unstructured":"Di Crescenzo, A., Giorno, V., Nobile, A.G., Ricciardi, L.M.: A note on birth-death processes with catastrophes. Stat. Probab. Lett. 78(14), 2248\u20132257 (2008)","journal-title":"Stat. Probab. Lett."},{"key":"18_CR5","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1023\/B:QUES.0000027991.19758.b4","volume":"46","author":"BL Granovsky","year":"2004","unstructured":"Granovsky, B.L., Zeifman, A.I.: Nonstationary queues: estimation of the rate of convergence. Queueing Syst. 46, 363\u2013388 (2004)","journal-title":"Queueing Syst."},{"key":"18_CR6","unstructured":"Ismaeel, A.G.: Effective technique for allocating servers to support cloud using GPS and GIS. In: IEEE 2013 Science and Information Conference, pp. 934\u2013939 (2013)"},{"issue":"6","key":"18_CR7","doi-asserted-by":"publisher","first-page":"1427","DOI":"10.1007\/s11464-017-0674-8","volume":"12","author":"J Li","year":"2017","unstructured":"Li, J., Zhang, L.: $$M^X\/M\/c$$ queue with catastrophes and state-dependent control at idle time. Front. Math. China 12(6), 1427\u20131439 (2017)","journal-title":"Front. Math. China"},{"key":"18_CR8","doi-asserted-by":"publisher","first-page":"990","DOI":"10.1239\/jap\/1450802748","volume":"52","author":"L Zhang","year":"2015","unstructured":"Zhang, L., Li, J.: The M\/M\/c queue with mass exodus and mass arrivals when empty. J. Appl. Probab. 52, 990\u20131002 (2015)","journal-title":"J. Appl. Probab."},{"key":"18_CR9","doi-asserted-by":"publisher","first-page":"503","DOI":"10.2478\/amcs-2014-0037","volume":"24","author":"A Zeifman","year":"2014","unstructured":"Zeifman, A., Satin, Ya., Korolev, V., Shorgin, S.: On truncations for weakly ergodic inhomogeneous birth and death processes. Int. J. Appl. Math. Comput. Sci. 24, 503\u2013518 (2014)","journal-title":"Int. J. Appl. Math. Comput. Sci."},{"issue":"2","key":"18_CR10","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1007\/s11134-013-9388-0","volume":"76","author":"A Zeifman","year":"2014","unstructured":"Zeifman, A., Korolev, V., Satin, Y., Korotysheva, A., Bening, V.: Perturbation bounds and truncations for a class of Markovian queues. Queueing Syst. 76(2), 205\u2013221 (2014). \nhttps:\/\/doi.org\/10.1007\/s11134-013-9388-0","journal-title":"Queueing Syst."},{"key":"18_CR11","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1016\/j.spl.2014.01.031","volume":"88","author":"AI Zeifman","year":"2014","unstructured":"Zeifman, A.I., Korolev, V.Y.: On perturbation bounds for continuous-time Markov chains. Stat. Probab. Lett. 88, 66\u201372 (2014)","journal-title":"Stat. Probab. Lett."},{"key":"18_CR12","unstructured":"Zeifman, A.I., Korotysheva, A.V., Korolev, V.Yu., Satin, Ya.A: Truncation bounds for approximations of inhomogeneous continuous-time Markov chains. Theor. Probab. Appl. 61, 513\u2013520 (2017)"},{"issue":"2","key":"18_CR13","doi-asserted-by":"publisher","first-page":"502","DOI":"10.1134\/S1064562416040177","volume":"94","author":"AI Zeifman","year":"2016","unstructured":"Zeifman, A.I., Satin, Y.A., Korotysheva, A.V., Korolev, V.Y., Bening, V.E.: On a class of Markovian queuing systems described by inhomogeneous birth-and-death processes with additional transitions. Doklady Math. 94(2), 502\u2013505 (2016). \nhttps:\/\/doi.org\/10.1134\/S1064562416040177","journal-title":"Doklady Math."},{"key":"18_CR14","doi-asserted-by":"publisher","first-page":"598","DOI":"10.1080\/15326349.2017.1362654","volume":"33","author":"A Zeifman","year":"2017","unstructured":"Zeifman, A., Korotysheva, A., Satin, Y., Razumchik, R., Korolev, V., Shorgin, S.: Ergodicity and truncation bounds for inhomogeneous birth and death processes with additional transitions from and to origin. Stoch. Models 33, 598\u2013616 (2017)","journal-title":"Stoch. Models"},{"key":"18_CR15","doi-asserted-by":"crossref","unstructured":"Zeifman, A., Korotysheva, A., Satin, Y., Kiseleva, K., Korolev, V., Shorgin, S.: Bounds for Markovian queues with possible catastrophes. In: Proceedings of 31st European Conference on Modelling and Simulation ECMS 2017, Digitaldruck Pirrot GmbHP Dudweiler, Germany, pp. 628\u2013634 (2017)","DOI":"10.7148\/2017-0628"},{"key":"18_CR16","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"20","DOI":"10.1007\/978-3-319-74727-9_3","volume-title":"Computer Aided Systems Theory \u2013 EUROCAST 2017","author":"A Zeifman","year":"2018","unstructured":"Zeifman, A., et al.: On sharp bounds on the rate of convergence for finite continuous-time Markovian queueing\u00a0models. In: Moreno-D\u00edaz, R., Pichler, F., Quesada-Arencibia, A. (eds.) EUROCAST 2017. LNCS, vol. 10672, pp. 20\u201328. Springer, Cham (2018). \nhttps:\/\/doi.org\/10.1007\/978-3-319-74727-9_3"},{"issue":"1","key":"18_CR17","doi-asserted-by":"publisher","first-page":"141","DOI":"10.2478\/amcs-2018-0011","volume":"28","author":"A Zeifman","year":"2018","unstructured":"Zeifman, A., Razumchik, R., Satin, Y., Kiseleva, K., Korotysheva, A., Korolev, V.: Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services. Int. J. Appl. Math. Comput. Sci. 28(1), 141\u2013154 (2018)","journal-title":"Int. J. Appl. Math. Comput. Sci."}],"container-title":["Lecture Notes in Computer Science","Computer Aided Systems Theory \u2013 EUROCAST 2019"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-45093-9_18","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,14]],"date-time":"2020-04-14T23:06:24Z","timestamp":1586905584000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-45093-9_18"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"ISBN":["9783030450922","9783030450939"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-45093-9_18","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2020]]},"assertion":[{"value":"15 April 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"EUROCAST","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Computer Aided Systems Theory","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Las Palmas de Gran Canaria","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Spain","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 February 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"22 February 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"eurocast2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/eurocast2019.fulp.ulpgc.es\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}