Improvement of the Fairness of Non-Preemptive Priorities in the Transmission of Heterogeneous Traffic

Sergei Dudin, Olga Dudina, Konstantin Samouylov and Alexander Dudin
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Sergei Dudin: Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Nezavisimosti Ave., 220030 Minsk, Belarus
Olga Dudina: Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Nezavisimosti Ave., 220030 Minsk, Belarus
Konstantin Samouylov: Applied Mathematics and Communications Technology Institute, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow 117198, Russia
Alexander Dudin: Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Nezavisimosti Ave., 220030 Minsk, Belarus

Mathematics, 2020, vol. 8, issue 6, 1-17

Abstract: A new flexible discipline for providing priority to one of two types of customers in a single-server queue is proposed. This discipline assumes the use of additional finite storages for each type of arriving customer. During the stay in a storage, a customer can leave the system or transfer to the main infinite buffer. Preference to priority customers is provided via the proper choice of the rates of a customer transfer from the storages to the buffer. Analysis of this discipline is implemented under quite general assumptions about the arrival and service processes. The advantage of the proposed discipline over the classical non-preemptive discipline is numerically demonstrated.

Keywords: flexible priority; marked Markov arrival process; impatience; phase-type distribution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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