A Markovian queue with serial servers and its application to the double tollbooth system

A Markovian queue with serial servers and its application to the double tollbooth system

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Article ID: iaor19983059
Country: South Korea
Volume: 22
Issue: 2
Start Page Number: 1
End Page Number: 11
Publication Date: Jun 1997
Journal: Journal of the Korean ORMS Society
Authors: ,
Keywords: queues: applications
Abstract:

We consider an M/M/2 queue with two servers placed in series. System performance measures that we present in closed expressions are the first and the second moments for the system size, the queue waiting time and the sojourn time. We also present an algorithm for computing the queue waiting time distribution function based on the randomization method. As an application, we analyze the double tollbooth system and compare its performance with the conventional single tollbooth system.

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