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A Study on Time Dependent Solution of Single Server Queue with Markovian Arrival and Markovian Service


Affiliations
1 Government Arts College, Salem-7, India
2 K.S.R College of Engineering, Tiruchengode, India
     

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AM/M/1 Queueing model with time dependent solution for single server queuing model with Markovian arrival and Markovian service time for busy period is derived and we find the various probabilities of number of units present in the system  and number of units leave the system at that  instant  t  during the busy period using the difference and difference equation technique. The numercial study for various aspects are discussed.

Keywords

Busy Period, Co-Efficient of Variance, Markovian Distribution, Mean, Moments, Pn(t), Qn(t), Transient State, Variance.
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  • A Study on Time Dependent Solution of Single Server Queue with Markovian Arrival and Markovian Service

Abstract Views: 258  |  PDF Views: 2

Authors

S. Shanmugasundaram
Government Arts College, Salem-7, India
A. Shanmugavadivu
K.S.R College of Engineering, Tiruchengode, India

Abstract


AM/M/1 Queueing model with time dependent solution for single server queuing model with Markovian arrival and Markovian service time for busy period is derived and we find the various probabilities of number of units present in the system  and number of units leave the system at that  instant  t  during the busy period using the difference and difference equation technique. The numercial study for various aspects are discussed.

Keywords


Busy Period, Co-Efficient of Variance, Markovian Distribution, Mean, Moments, Pn(t), Qn(t), Transient State, Variance.