New product theorems for queueing networks

被引:2
作者
Tsitsiashvili G.Sh. [1 ]
Osipova M.A. [1 ]
机构
[1] Institute of Applied Mathematics, Far East Branch of the RAS, Vladivostok
关键词
Mobile Phone; System Theory; Stationary Distribution; Network System; Analytical Formula;
D O I
10.1007/s11122-005-0021-7
中图分类号
学科分类号
摘要
New product theorems for open and closed queueing networks are proved. The theorems give precise analytical formulas for the computation of stationary distributions of queueing networks with a certain structure and principle of operation. The subject touched upon in the paper is developed in three directions, each of them being closely connected with mobile phone network systems. © 2005 Pleiades Publishing, Inc.
引用
收藏
页码:171 / 181
页数:10
相关论文
共 9 条
  • [1] Ivchenko G.I., Kashtanov V.A., Kovalenko I.N., Teoriya Massovogo Obsluzhivaniya Vyssh. (Queueing Theory), (1982)
  • [2] Kovalenko I.N., Kuznetsov N.Yu., Shurenkov V.M., Sluchainye Protsessy: Spravochnik (Stochastic Processes: A Handbook), (1983)
  • [3] Basharin G.P., Tolmachev A.L., Queueing Network Theory and Its Applications to the Analysis of Information-Computing Networks, Itogi Nauki Tekh. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern., 21, pp. 3-119, (1983)
  • [4] Tsitsiashvili G.Sh., Osipova M.A., Koliev N.V., Baum D., A Product Theorem for Markov Chains with Application to PF-Queueing Networks, Ann. Oper. Res., 113, pp. 141-154, (2002)
  • [5] Ivnitskii V.A., Teoriya Setei Massovogo Obsluzhivaniya (Queueing Network Theory), (2004)
  • [6] Krylenko A.V., Queueing Networks with Several Demand Types, Immediate Service, and Node Bypassing by Demands, Probl. Peredachi Inf., 33, 3, pp. 91-101, (1997)
  • [7] Malinkovskii Yu.V., Nikitenko O.A., Networks with Bypasses and Negative Customers, Avtomat. Telemekh., 61, 8, pp. 79-85, (2000)
  • [8] Pittel B., Closed Exponential Networks of Queues with Saturation: The Jackson-type Stationary Distribution and Its Asymptotic Analysis, Math. Oper. Res., 4, 4, pp. 357-378, (1979)
  • [9] Gabasov R., Kirillova F.M., Metody Lineinogo Programmirovaniya (Linear Programming Methods), 2, (1978)