Generalized Lindley-type recursive representations for multiserver tandem queues with blocking

Author:

Kin Wai1,Chan Victor1

Affiliation:

1. Rensselaer Polytechnic Institute, Troy, NY

Abstract

Lindley's recursion is an explicit recursive equation that describes the recursive relationship between consecutive waiting times in a single-stage single-server queue. In this paper, we develop explicit recursive representations for multiserver tandem queues with blocking. We demonstrate the application of these recursive representations with simulations of large-scale tandem queueing networks. We compare the computational efficiency of these representations with two other popular discrete-event simulation approaches, namely, event scheduling and process interaction. Experimental results show that these representations are seven (or more) times faster than their counterparts based on the event-scheduling and process-interaction approaches.

Funder

Division of Civil, Mechanical and Manufacturing Innovation

Publisher

Association for Computing Machinery (ACM)

Subject

Computer Science Applications,Modeling and Simulation

Reference30 articles.

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