caa a22 4500 465774644 CHVBK 20180323111938.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02216823 doi (NATIONALLICENCE)springer-10.1007/BF02216823 Shi Ding-Hua Department of Mathematics, Shanghai University of Science and Technology, 201800, Shanghai, P.R. China aut Probability analysis of the repairable queueing system M/G ( E k [Elektronische Daten] H )/1 / [Ding-Hua Shi] The repairable queueing system (RQS) in which the server has an exponential lifetime distribution has been studied in several articles [1-4]. Here, we deal with the new RQSM/G(E k /H)/1 in which the lifetime distribution of the server is Erlangian. By forming a vector Markov process, i.e. by using the method of supplementary variables, we obtained some system characters, the reliability indices of the server, and the time distribution of a customer spent on the server. For this RQS, the generalized service time distribution of each customer will depend on the remainder life of the server. Based on this, a new kind of queues, for which the service time distributions are chosen by the customers in some stochastic manner, appears in queueing theory. J.C. Baltzer AG, Scientific Publishing Company, 1990 Annals of Operations Research Baltzer Science Publishers, Baarn/Kluwer Academic Publishers 24/1(1990-12-01), 185-203 0254-5330 24:1<185 1990 24 10479 https://doi.org/10.1007/BF02216823 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02216823 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shi Ding-Hua Department of Mathematics, Shanghai University of Science and Technology, 201800, Shanghai, P.R. China aut NATIONALLICENCE 773 0- Annals of Operations Research Baltzer Science Publishers, Baarn/Kluwer Academic Publishers 24/1(1990-12-01), 185-203 0254-5330 24:1<185 1990 24 10479 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer