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Stationary Characteristics of the Single-Server Queue System with Losses and Immediate Service Quality Control
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Abstract
Semi-Markovian model of operation of a single-server queue system with losses and immediate service quality control has been built. In case of unsatisfactory request service quality, its re-servicing is carried out. Re-servicing is executed till it is regarded satisfactory. Time between request income, and request service time are assumed to be random values with distribution functions of general kind. An explicit form of the system stationary characteristics has been defined.
KeywordsQueue SystemSemi-Markovian ProcessSystem Stationary CharacteristicsRequest Service Quality
- J. Riordan, “Stochastic Service Systems,” Member Technical Staff Bell Telephone Laboratories, Inc., John Wiley & Sons, Inc., New York, 1962.
- B. V. Gnedenko and I. N. Kovalenko, “An Introduction to Queuing Theory,” Nauka, Moscow, 1987.
- V. V. Anisimov, O. K. Zakusilov and V. S. Donchenko, “Elements of Queuing Theory and System Asymptotic Analysis,” Higher School, Kiev, 1987.
- B. V. Gnedenko and D. Konig, “Handbuch der Bedienungsteorie II (Formeen und Andere Ergebnisse),” Verlag, Berlin, 1984.
- Y. Y. Obzherin and A. I. Peschansky, “Stationary Characteristics of a Single-Server Queue System with a Single Waiting Space,” Cybernetics and System Analysis, Vol. 42, No. 5, 2006, pp. 51-62.
- A. N. Korlat, V. N. Kuznetsov, M. I. Novikov and A. F. Turbin, “Semi-Markovian Models of Restorable and Service Systems,” Shtiintsa, Kishinev, 1991.
- V. S. Korolyuk and A. F. Turbin, “Markovian Restoration Processes in the Problems of System Reliability,” Naukova Dumka, Kiev, 1982.
- F. Beichelt and P Franken, “Zuverl?ssigkeit und Instan- phaltung. Mathematische Methoden,” VEB Verlag Technik, Berlin, 1983.
- I. N. Kovalenko, N. Y. Kuznetsov and V. M. Shurenkov, “Stochastic Processes. Guidance,” Naukova Dumka, Kiev, 1983.