RQwDFB: analysis of retrial queues with delayed feedback

Miskolc Mathematical Notes

article

Agassi Melikov¹  Sevinj Aliyeva²  János Sztrik³ 

[1] Institute of Control Systems, National Academy of Science;Information Technology and Programming, Applied Mathematics and Cybernetics, Baku State University;Department of Informatics and Networks, Faculty of Informatics, University of Debrecen

关键词: multi-channel queuing system;    retrial calls;    delayed feedback;    finite and infinite orbits;    balking from orbit;    calculation method;   

DOI  :  10.18514/MMN.2021.3347

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

The models of retrial queues M/M/K/K with delayed feedback are considered. If upon arrival of primary call (\textit{p}-call) there are free channels then it occupies one of them for a some exponentially distributed time; otherwise, it in accordance to Bernoulli scheme either leaves the system forever or go to orbit for retrial calls (\textit{r}-calls). After the customer is served completely, it will decide based on Bernoulli scheme either to join the orbit for re-service after some delay (delayed feedback) or to leave the system forever. If upon arrival \textit{r}-call there is a free server, then the arriving call begins to be served immediately; otherwise, it in accordance to Bernoulli scheme either leaves the orbit or return to orbit. An approximate method to calculation of the steady-state probabilities of the appropriate two-dimensional Markov chain as well as performance measures of the system is developed. Results of numerical experiments are demonstrated.

【 授权许可】

CC BY