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Transient Analysis of a Non-Preemptive Priority Queueing System |
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PP: 645-654 |
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doi:10.18576/amis/120321
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Author(s) |
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V. S. S. Yadavalli,
Diatha Krishna Sundar,
Swaminathan Udayabaskaran,
C. T. Dora Pravina,
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Abstract |
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| A single server queueing system is considered in which two types of customers arrive according to independent Poisson
processes. Customers of type 1 are of priority nature and the other customers of type 2 are of non-priority. Type 1 customers have nonpreemptive
priority over type 2 customers. Assuming that service times for both types of customers have exponential distribution with
mean 1/m, we obtain explicit expressions for the transient solution for the state probability distribution. We deduce the steady-state
joint distribution of the number of customers of type 1 and customers of type 2 and also obtain performance measures of the system. |
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