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.
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Original Russian Text © V.I. Klimenok, R.Ch. Savko, 2015, published in Avtomatika i Telemekhanika, 2015, No. 8, pp. 78–93.
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Klimenok, V.I., Savko, R.C. Tandem system with retrials and impatient customers. Autom Remote Control 76, 1387–1399 (2015). https://doi.org/10.1134/S0005117915080056
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DOI: https://doi.org/10.1134/S0005117915080056