Main Article Content
Abstract
In this paper, an M/M/c queuing model with synchronous working vacation and impatient
customers is considered.The model is analyzed for two vacation policies i.e multiple working
vacation(MWV) policy and single working vacation(SWV) policy.The servers serve the customers at a slower rate than the normal busy period during a working vacation and this becomes
the cause of customers impatience.The M/M/c queue with two such policies is described and
using the PGF method, we obtain various system performance measures in terms of two indicators.we have derived some results relating to the limiting behavior of some performance
measures.At the end of each model, we have presented some numerical examples to demonstrate the effects of system parameters on some performance measures.Finally, a comparison
between the two models is carried out
customers is considered.The model is analyzed for two vacation policies i.e multiple working
vacation(MWV) policy and single working vacation(SWV) policy.The servers serve the customers at a slower rate than the normal busy period during a working vacation and this becomes
the cause of customers impatience.The M/M/c queue with two such policies is described and
using the PGF method, we obtain various system performance measures in terms of two indicators.we have derived some results relating to the limiting behavior of some performance
measures.At the end of each model, we have presented some numerical examples to demonstrate the effects of system parameters on some performance measures.Finally, a comparison
between the two models is carried out
Keywords
M/M/c queue
synchronous Working vacation
Impatient customers
Generating function.
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How to Cite
Ganie, S. M., & Manoharan, P. (2018). Impatient customers in an M/M/c queue with single and multiple synchronous working vacations. Pakistan Journal of Statistics and Operation Research, 14(3), 571-594. https://doi.org/10.18187/pjsor.v14i3.1866
