Mathematics and Statistics Vol. 10(3), pp. 575 - 581
DOI: 10.13189/ms.2022.100313
Reprint (PDF) (282Kb)

Comparison between The Discrimination Frequency of Two Queueing Systems

Said Taoufiki *, Jamal El Achky
Department of Mathematics, Engineering Sciences Laboratory, National School of Applied Sciences (ENSA), University Ibn Tofail, Morocco


Each of us has had the experience of being overtaken by another less demanding customer in a queue. And each of us got behind a demanding customer and had to wait a long time. The frequencies of discrimination that appear here are overruns and heavy work. These are two phenomena that accompany queues, and have a great impact on customer satisfaction. Recently, authors have turned to measure queuing fairness based on the idea that a customer may feel anger towards the queuing system, even if he does not stay long on hold if he had one of the two experiences. We have found that this type of approach is more in line with studies provided by sociologists and psychologists. The frequencies of discrimination in a queue are studied for certain models of a single server. But for the case of multi-servers, there is only one study of a two-server Markovian queue. In this article, we wish to generalize this last study and we demonstrate that the result found in the case of two servers remains valid after comparing the discrimination frequencies of two Markov queueing systems to several servers.

Queueing, Overtakes, Scheduling, Probability, Markov Chain

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Said Taoufiki , Jamal El Achky , "Comparison between The Discrimination Frequency of Two Queueing Systems," Mathematics and Statistics, Vol. 10, No. 3, pp. 575 - 581, 2022. DOI: 10.13189/ms.2022.100313.

(b). APA Format:
Said Taoufiki , Jamal El Achky (2022). Comparison between The Discrimination Frequency of Two Queueing Systems. Mathematics and Statistics, 10(3), 575 - 581. DOI: 10.13189/ms.2022.100313.