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Nearly optimal control of queues in heavy traffic with heterogeneous servers

 

作者: K.M. Ramachandran,  

 

期刊: Stochastic Analysis and Applications  （Taylor Available online 1989）
卷期: Volume 7, issue 2  

页码: 211-234

 

ISSN:0736-2994

 

年代: 1989

 

DOI:10.1080/07362998908809177

 

出版商: Marcel Dekker, Inc.

 

关键词: Queueing Networks;Heterogeneous Servers;Heavy Traffic Approximation;Weak Convergence;Nearly Optimal Control

 

数据来源: Taylor

 

摘要:

We analyse the approximately optimal control of queues in tandem with heterogeneous servers. The queues are assumed to be under heavy traffic. The controls are putting off/on various inputs and services. Discounted cost structure is considered. It is shown that the scaled controlled system converges weakly to controlled limit reflected diffusion. We also prove that the optimal polices for limit when adapted to the physical system is nearly optimal

 

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