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Regions of stability of queuing systems. (English) Zbl 0582.60087

Translation from Stability problems for stochastic models, Proc. Semin. Moscow 1980, Inst. Syst. Stud., 107-115 (Russian) (1980; Zbl 0469.60092).

MSC:

60K25 Queueing theory (aspects of probability theory)
90B22 Queues and service in operations research
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References:

[1] D. Kendall, ?Some recent work and further problems in theory of queues,? Teor. Veroyatn. Primen., No. 1 (1964).
[2] I. N. Kovalenko, ?Reconstruction of system characteristics by observing the output flow,? Dokl. Akad. Nauk SSSR,164, No. 5 (1965).
[3] V. A. Ivnitskii, ?Reconstruction, based on observations of the output flow, of the characteristics of a single-server system with a restriction on the sojourn time,? Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 3 (1969).
[4] V. V. Skaletskii, ?Solution of inverse problems for single-server queuing systems,? Candidate’s Thesis, Far Eastern Science Center, Academy of Sciences of the USSR, IPA (Institute of Industrial Automation), IAPU (institute of Automation and Control) (1974).
[5] A. N. Tikhonov and V. Ya. Arsenin, Methods of Solution of Ill-Posed Problems [in Russian], Nauka, Moscow (1974).
[6] V. M. Zolotarev, ?Continuity of stochastic sequences generated by recursive procedures,? Teor. Veroyatn. Primen., No. 4 (1975).
[7] (missing in the original).
[8] D. Stoyan, ?Partial orders of random samples and their use in queuing theory,? Elektron. Informverarb. Kybern.,7 (1971).
[9] V. V. Kalashnikov, Qualitative Analysis of the Performance of Complex Systems by the Method of Trial Functions [in Russian], Nauka, Moscow (1978).
[10] G. Sh. Tsitsiashvili, ?Construction of Lyapunov functions for a stability analysis of piecewise-linear Markov chains,? Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 2 (1979).
[11] B. M. Kirstein, P. Franken, and D. Stoyan, ?Comparability and monotonicity of Markov processes,? Teor. Veroyatn. Primen., No. 1 (1977). · Zbl 0385.60011
[12] D. Stoyan, ?Semiorder relations for distribution laws,? Math. Nachr.,52 (1972).
[13] I. Kiefer and I. Wolfowitz, ?On the theory of queues with many servers,? Trans. Amer. Math. Soc.,84, No. 1 (1955). · Zbl 0064.13303
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