Multiclass queueing systems in heavy traffic: An asymptotic approach based on distributional and conservation laws
成果类型：
Article
署名作者：
Bertsimas, D; Mourtzinou, G
署名单位：
Massachusetts Institute of Technology (MIT)
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.45.3.470
发表日期：
1997
页码：
470-487
关键词：
摘要：
We propose a new approach to analyze multiclass queueing systems in heavy traffic based on what we consider as fundamental laws in queueing systems, namely distributional and conservation laws. Methodologically, we extend the distributional laws from single class queueing systems to multiple classes and combine them with conservation laws to find the heavy traffic behavior of the following systems: (a) Sigma GI/G/1 queue under FIFO. (b) Sigma GI/G/1 queue with priorities, (c) Polling systems with general arrival distributions. Compared with traditional heavy traffic analysis via Brownian processes, our approach gives new insight to the asymptotics used, solves systems that traditional heavy traffic theory has not fully addressed, and, more importantly, leads to closed form answers, which compared to simulation are very accurate even for moderate traffic.