Abstract
We consider a queueing system consisting of unreliable processors with hardware, information, and time redundancy. Analytical expressions are derived for the virtual waiting time and flow time of jobs in the system, under both nonstationary and stationary conditions.
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Literature Cited
Yu. S. Golubev-Novozhilov, Multimachine Computing Complexes [in Russian], Sovet-skoe Radio, Moscow (1967).
Ph. Enslow, Multiporcessor Systems and Parallel Computing [Russian translation], Mir, Moscow (1976).
D. A. Pospelov, An Introduction to the Theory of Computing Systems [in Russian], Sovetskoe Radio, Moscow (1972).
G. Rodriga, Parallel Computations [Russian translation], Nauka, Moscow (1986).
S. A. Maiorov, Elements of the Theory of Computing Systems [in Russian], Vysshaya Shkola, Moscow (1978).
I. A. Ushakov, Reliability of Technical Systems (Handbook) [in Russian], Radio i Svyaz', Moscow (1985).
G. N. Cherkesov, Reliability of Technical Systems with Time Redundancy [in Russian], Sovet-skoe Radio, Moscow (1974).
G. L. Brodetskii, “One problem of periodic saving of results,” Kibernetika, No. 3, 38–44 (1978).
R. M. Kakubava and I. S. Mikadze, “A queueing system with duplication,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 3, 76–83 (1983).
R. V. Kakubava and I. S. Mikadze, “Analysis of a duplex queueing system,” Avtomat. Telemekh., No. 1, 160–166 (1984).
I. S. Mikadze, “A queueing system with several operating states,” Avtomat. Telemekh., No. 12, 170–183 (1987).
V. S. Korolyuk and A. F. Trubin, Semi-Markov Processes and Their Applications [in Russian], Naukova Dumka, Kiev (1976).
V. S. Korolyuk and A. F. Trubin, Mathematical Principles of Phase Aggregation of Complex Systems [in Russian], Vishcha Shkola, Kiev (1978).
A. V. Bitsadze, Elements of the Theory of Analytical Functions of Complex Variable [in Russian], Nauka, Moscow (1984).
V. V. Voevodin, and Yu. A. Kuznetsov., Matrices and Computations [in Russian], Nauka, Moscow (1984).
B. V. Gnedenko and I. N. Kovalenko, An Introduction to Queueing Theory [in Russian], Nauka, Moscow (1966).
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Translated from Kibernetika, No. 3, pp. 102–109, 128, May–June, 1989.
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Mikadze, I.S. Queueing system with unreliable processors. Cybern Syst Anal 25, 409–419 (1989). https://doi.org/10.1007/BF01069999
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DOI: https://doi.org/10.1007/BF01069999