A SIMPLE RELATIONSHIP BETWEEN LIGHT AND HEAVY TRAFFIC LIMITS
成果类型：
Note
署名作者：
SIMON, B
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.40.3.S342
发表日期：
1992
页码：
S342-S345
关键词：
摘要：
Let rho be the traffic intensity of an open queueing system, and let f(rho), 0 less-than-or-equal-to rho < 1 be a function, such as an average queue length or sojourn time. A relationship between the light and heavy traffic limits of f is found that is asymptotically exact for high-order light traffic limits (derivatives at rho = 0). This simple but unexpected result provides a natural method for approximating f based on partial information. The approximation it provides turns out to be identical to the canonical interpolation approximation based on the same partial information. Relationships are then derived that correspond to noncanonical interpolation approximations. These relationships may be useful for gauging the accuracy of interpolation approximations.