A single server retrial fuzzy queue with priority and unequal service rates

被引:0
作者
Kalpana, B. [1 ]
Anusheela, N. [2 ]
机构
[1] Bharathiar Univ, Res & Dev Ctr, Coimbatore 641046, Tamil Nadu, India
[2] Govt Arts Coll Ooty, Dept Math, Ooty, Tamil Nadu, India
关键词
Fuzzy sets; membership function; nonlinear programming; priority; retrial queue; SYSTEMS;
D O I
10.3233/JIFS-181433
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper develops a latest mathematical model to derive the membership function of fuzzy retrial queue with single server queue model FM1, FM2/FM1, FM2/1 with priority and unequal service rates. The vital aim of this paper is to combine the parametric non linear programming technique and Yager's ranking method. Using alpha - cut approach and Zadeh's principle the fuzzy queues are changed into crisp queues in this paper. The membership function of the system characteristics is derived for different values of a. The numerical example is given to check the validity of the model.
引用
收藏
页码:811 / 820
页数:10
相关论文
共 50 条
[31]   ON THE OPTIMAL AND EQUILIBRIUM RETRIAL RATES IN AN UNRELIABLE RETRIAL QUEUE WITH VACATIONS [J].
Zhang, Feng ;
Wang, Jinting ;
Liu, Bin .
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2012, 8 (04) :861-875
[32]   A preemptive priority retrial queue with two classes of customers and general retrial times [J].
Gao, Shan .
OPERATIONAL RESEARCH, 2015, 15 (02) :233-251
[33]   A study of discrete-time multi server retrial queue with finite population and fuzzy parameters [J].
Noora, A. A. ;
Jahanshahloo, G. R. ;
Rashidi, S. Fanati ;
Godarzi, M. Moazami .
AFRICAN JOURNAL OF BUSINESS MANAGEMENT, 2011, 5 (06) :2426-2431
[34]   Threshold control by a single-server retrial queue with batch arrivals and group services [J].
Kim, Che Soong ;
Kanechny, Aliaksandr ;
Dudin, Alexander .
OPERATIONS RESEARCH LETTERS, 2006, 34 (05) :548-556
[35]   Particle Swarm Optimization of a Single Server Retrial Queue with Delayed Repair Under Working Vacation From Optional Service to Re-Service [J].
Kalaiselvi, J. ;
Saravanarajan, M. C. .
CONTEMPORARY MATHEMATICS, 2025, 6 (01) :743-771
[36]   A retrial queue with a constant retrial rate, server break downs and impatient customers [J].
Li, H ;
Zhao, YQQ .
STOCHASTIC MODELS, 2005, 21 (2-3) :531-550
[37]   A preemptive priority retrial queue with two classes of customers and general retrial times [J].
Shan Gao .
Operational Research, 2015, 15 :233-251
[38]   Analysis of a single server batch arrival unreliable queue with balking and general retrial time [J].
Zirem, Djamila ;
Boualem, Mohamed ;
Adel-Aissanou, Karima ;
Aissani, Djamil .
QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2019, 16 (06) :672-695
[39]   Multi-server preemptive priority queue with general arrivals and service times [J].
Brandwajn, Alexandre ;
Begin, Thomas .
PERFORMANCE EVALUATION, 2017, 115 :150-164
[40]   A Discrete-Time Retrial Queue with Unreliable Server and General Server Lifetime [J].
P. Moreno .
Journal of Mathematical Sciences, 2006, 132 (5) :643-655