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Volume 63 | Number 2 | Year 2018 | Article Id. IJMTT-V63P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V63P516
Comparison of Classical and Retrial Mx
/G/1
Queueing System Under Multiple Adapted
Vacation Policy
M.I. Afthab Begum, R. Jayanthidevi
Citation :
M.I. Afthab Begum, R. Jayanthidevi, "Comparison of Classical and Retrial Mx
/G/1
Queueing System Under Multiple Adapted
Vacation Policy," International Journal of Mathematics Trends and Technology (IJMTT), vol. 63, no. 2, pp. 124-132, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V63P516
Abstract
This paper deals with classical and retrial (MX
/G/1) queueing systems in which the breakdown occurs
during busy period and sent for repair immediately. The service interrupted customers stay in service facility to
complete remaining service for both the models. Further, it is assumed that server takes Multiple Adapted
Vacation policy when the system becomes idle. For both the models the system is studied under steady state
using Supplementary variable technique. The partial generating function when the system is in different states
are calculated. The system size probabilities and the average number of customers waiting in the system when
the server is busy or on vacation or in breakdown state are also calculated. The performance measures are
presented. The results of both models are compared when 𝑨
∗
(𝝀) →1. Moreover results of different vacations are
presented.
Keywords
Multiple adapted vacation policy, Classical and retrial, Server vacation, Breakdown.
References
[1] Ke.J.C(2007), Operating characteristic analysis MX/G/1 system with a variant vacation policy and balking, Applied Mathematical Modelling,31,1321-1337
[2] Mytalas, G.C., and Zazanis,M.A.,(2015), An MX/G/1 Queueing system with Disasters and Repairs under Multiple Adapter Vacation Policy, Naval Research Logistic, February 2015, Impact factor:0.7
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