A transient solution to the M/M/c queuing model equation with balking and catastrophes

Authors

  • Rakesh Kumar SHRI MATA VAISHNO DEVI UNIVERSITY, KATRA, INDIA

Abstract

In this paper, we consider a Markovian multi-server queuing system with balking and catastrophes. The probability generating function technique along with the Bessel function properites is used to obtain a transient solution to the queuing model. The transient probabilities for the number of customers in the system are obtained explicitly. The expressions for the time-dependent expected number of customers in the system are also obtained. Finally, applications of the model are also discussed.

Author Biography

  • Rakesh Kumar, SHRI MATA VAISHNO DEVI UNIVERSITY, KATRA, INDIA

    ASSISTANT PROFESSOR

    DEPT OF MATHEMATICS

    SHRI MATA VAISHNO DEVI UNIVERSITY, KATRA, J& K, INDIA-182320

Downloads

Published

2017-12-31

Issue

Volume 8 (2017), Number 2

Section

CRORR Journal Regular Issue

License

- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal

- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).