Abstract
Stationary probabilities of the states of a single-server system with Markov input flow, inverse service discipline, and interruption are determined under the assumption that the interrupted customer is served anew with his initial service duration.
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REFERENCES
Bocharov, P.P. and Pechinkin, A.V., Teoriya massovogo obsluzhivaniya (Queueing Theory), Moscow: Univ. Druzhby Narodov, 1995.
Bocharov, P.P. and Pavlova, O.I., Analysis of a Queue with Phase-type Distribution, Inverse Service Discipline, and Interruption, Avtom.Telemekh., 1992, no. 11, pp. 83-92.
Pechinkin, A.V., A iMAP|G|1|n System with LIFO Discipline, Interruption, and Bounded Total Volume of Customers, Avtom.Telemekh., 1999, no. 12, pp. 114-120.
Tatashev, A.G., A Queueing System with Interruption of Batch Arrivals, Avtom.Vychisl.Tekh., 1996, no. 5, pp. 57-65.
Matveev, V.F. and Ushakov, V.G., Sistemy massovogo obsluzhivaniya (Queueing Systems), Moscow: Nauka, 1984.
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Tatashev, A.G. A MAP|G|1|n System of Inverse Service Discipline and Resumption of Service of an Interrupted Customer with His Initial Duration. Automation and Remote Control 63, 1789–1793 (2002). https://doi.org/10.1023/A:1020955331659
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DOI: https://doi.org/10.1023/A:1020955331659