In a cellular network, each cell has seven channels, two of which are dedicated solely for handoff calls. Assume that both new and handoff call arrivals are subject to a Poisson process. The average arrival rate of new calls and handoff calls is 1.5 and 0.3 calls per minute, respectively. The holding duration of a channel is exponentially distributed, with a mean of 2 minutes. Determine the blocking probability of new and handoff calls.

In a cellular network, each cell has seven channels, two of which are dedicated solely for handoff calls. Assume that both new and handoff call arrivals are subject to a Poisson process. The average arrival rate of new calls and handoff calls is 1.5 and 0.3 calls per minute, respectively. The holding duration of a channel is exponentially distributed, with a mean of 2 minutes. Determine the blocking probability of new and handoff calls.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter20: Queuing Theory

Section20.11: The M/g/s/gd/s/∞ System (blocked Customers Cleared)

Problem 4P

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