## Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

If you need an accessible version of this item please contact JSTOR User Support

# Approximations of the Mean Waiting Time in an M/G/s Queueing System

O. J. Boxma, J. W. Cohen and N. Huffels
Operations Research
Vol. 27, No. 6 (Nov. - Dec., 1979), pp. 1115-1127
Stable URL: http://www.jstor.org/stable/172087
Page Count: 13
If you need an accessible version of this item please contact JSTOR User Support
Preview not available

## Abstract

This paper considers the problem of obtaining approximate expressions for the first moment WGs of the stationary waiting time distribution in an M/G/s queueing system. Special attention is paid to the case $G\equiv D$, i.e. constant service times. Most known approximations are in fact heavy traffic approximations which have rather large relative errors in the light traffic case. In the present study both the light traffic and heavy traffic behavior of WGs (WDs) are taken into account. In order to obtain mean waiting time approximations it appears to be useful to introduce a quantity (the "normed cooperation coefficient") which is inversely proportional to WGs and which is in some sense a measure for the "cooperation" between the servers of the service facility. A part of the paper is devoted to the analysis of this normed cooperation coefficient.

• 1115
• 1116
• 1117
• 1118
• 1119
• 1120
• 1121
• 1122
• 1123
• 1124
• 1125
• 1126
• 1127