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On the Remaining Interarrival Time upon Reaching a Given Level in the GI/M/1/K Queue  

Chae, Kyung C. (Department of Industrial Engineering, KAIST)
Suh, Gai (Department of Industrial Engineering, KAIST)
Publication Information
Journal of Korean Institute of Industrial Engineers / v.32, no.4, 2006 , pp. 369-372 More about this Journal
Abstract
Suppose that a customer arrives at the GI/M/1/K queueing system when there are customers in the system, $n,m{\geq}0,\;n+m{\leq}K$. Sooner or later, the number of customers in the system will reach . In this paper, we present the Laplace transform of the remaining interarrival time upon reaching level, for the first time, since a customer arrived when there are customers in the system.
Keywords
Duality; Residual Service Time; Idle Period;
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