Analysis of Multi-Server Priority Queueing System with Hysteresis Strategy of Server Reservation and Retrials

被引：7
作者：
Dudin, Alexander [1 ]
Dudin, Sergey [1 ]
Manzo, Rosanna [2 ]
Rarita, Luigi [3 ]
机构：
[1] Belarusian State Univ, Dept Appl Math & Comp Sci, 4 Nezavisimosti Ave, Minsk 220030, BELARUS
[2] Univ Salerno, Dept Informat & Elect Engn & Appl Math, Via Giovanni Paolo II 132, I-84084 Salerno, Italy
[3] Univ Salerno, Dipartimento Sci Aziendali Management & Innovat S, Via Giovanni Paolo II 132, I-84084 Salerno, Italy
来源：
MATHEMATICS | 2022年 / 10卷 / 20期
关键词：
cognitive radio; multi-server queueing system; priority; retrials; server reservation; hysteresis strategy; multi-dimensional Markov chains; IMPATIENT HETEROGENEOUS CUSTOMERS; SPECTRUM ACCESS; MODEL; CHANNEL; NUMBER;
D O I：
10.3390/math10203747
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A multi-server queueing system with two types of requests and preemptive priority of one type is considered as a model of a cell of a cognitive radio system under practical suggestions about the arrival flows. A hysteresis type strategy for server reservation is suggested to mitigate the effect of interruption of service of low priority requests. Under the arbitrarily fixed values of the sets of the thresholds defining this strategy, the behavior of the system is described by a level-dependent multi-dimensional Markov chain. Formulas for computation of values of performance characteristics of the system are derived. Numerical examples illustrating the dependence of the main performance characteristics on the thresholds defining the strategy of control and the numerical solution of the problem of the optimal choice of the thresholds are reported.
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页数：19
相关论文
共 40 条
[1]   NeXt generation/dynamic spectrum access/cognitive radio wireless networks: A survey [J].
Akyildiz, Ian F. ;
Lee, Won-Yeol ;
Vuran, Mehmet C. ;
Mohanty, Shantidev .
COMPUTER NETWORKS, 2006, 50 (13) :2127-2159
[2]   Prioritizing and queueing the emergency departments' patients using a novel data-driven decision-making methodology, a real case study [J].
Alipour-Vaezi, Mohammad ;
Aghsami, Amir ;
Jolai, Fariborz .
EXPERT SYSTEMS WITH APPLICATIONS, 2022, 195
[3]   Some aspects of stationary characteristics and optimal control of the BMAP/G - G/1/N(∞) oscillating queueing system [J].
Banik, A. D. .
APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, 2015, 31 (02) :204-230
[4]   Numerical solution of level dependent quasi-birth-and-death processes [J].
Baumann, Hendrik ;
Sandmann, Werner .
ICCS 2010 - INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE, PROCEEDINGS, 2010, 1 (01) :1555-1563
[5]   Multi-class Markovian arrival processes and their parameter fitting [J].
Buchholz, Peter ;
Kemper, Peter ;
Kriege, Jan .
PERFORMANCE EVALUATION, 2010, 67 (11) :1092-1106
[6]  
Chakravarthy S., 2001, Advances in probability theory and stochastic processes, P21
[7]  
Chakravarthy S.R., 2010, WILEY ENCY OPERATION
[8]   Feasibility Analysis of Vehicular Dynamic Spectrum Access via Queueing Theory Model [J].
Chen, Si ;
Wyglinski, Alexander M. ;
Pagadarai, Srikanth ;
Vuyyuru, Rama ;
Altintas, Onur .
IEEE COMMUNICATIONS MAGAZINE, 2011, 49 (11) :156-163
[9]   Optimal multithreshold control for a BMAP/G/1 queue with N service modes [J].
Dudin, A .
QUEUEING SYSTEMS, 1998, 30 (3-4) :273-287
[10]   Analysis of Priority Retrial Queue With Many Types of Customers and Servers Reservation as a Model of Cognitive Radio System [J].
Dudin, Alexander N. ;
Lee, Moon Ho ;
Dudina, Olga ;
Lee, Sung Kook .
IEEE TRANSACTIONS ON COMMUNICATIONS, 2017, 65 (01) :186-199
1234