This article is cited in 6 papers

Stochastic Systems, Queuing Systems

Tandem system with retrials and impatient customers

V. I. Klimenok, R. Ch. Savko

Belarus State University, Minsk, Belarus

Abstract: Consideration was given to the tandem queuing system with multiple-line phases and a stationary Poisson flow. The customer arriving with the input flow and finding all first-phase servers occupied goes to an infinite-size orbit from which it retries to be serviced. Between the phases there is a finite buffer. The customers passing to the second phase have different priorities. For the highest-priority customers, second-phase servers are foreseen. If all places permitted for the given customer at the second phase are occupied, it either discharges the queuing system underserviced or returns to the first-phase orbit and retries to get a server at this phase. The impatient customers leaving the intermediate buffer behave in a similar manner. The stationary characteristics of system performance were established. Numerical examples, including the problem of optimal selection of the number of reserved servers, were presented.

Presented by the member of Editorial Board: A. I. Lyakhov

Received: 15.01.2014

 English version: Automation and Remote Control, 2015, 76:8, 1387–1399

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