CONVEXITY OF A GENERAL PERFORMANCE MEASURE FOR MULTISERVER QUEUES.

Journal Article

This paper examines a general performance measure for queueing systems. This criterion reflects both the mean and the variance of sojourn times; the standard deviation is a special case. The measure plays a key role in certain production models, and it should be useful in a variety of other applications. We focus here on convexity properties of an approximation of the measure for the M/G/ c queue. For c greater than equivalent to 2 we show that this quantity is convex in the arrival rate. Assuming the service rate acts as a scale factor in the service-time distribution, the measure is convex in the service rate also.

Duke Authors

Cited Authors

  • Harel, A; Zipkin, P

Published Date

  • 1987

Published In

  • Journal of Applied Probability

Volume / Issue

  • 24 / 3

Start / End Page

  • 725 - 736