Ӧ�ø���ͳ�� 2014, 30(2) 129-150 DOI:      ISSN: 1001-4268 CN: 31-1256

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Real-Time Dynamic Control in the Supermarket Models and Some Numerical Analysis
Li Quanlin, Du Ye, Wang Meng, Dai Guirong
School of Economics and Management Sciences, Yanshan University
Abstract:

The supermarket model is a dynamic randomized
load balancing scheme for real-time dynamic control of large-scale
parallel queuing network. It has many important practical applications
in, for example, computer networks, cloud computing, manufacturing systems
and transportation networks. In this paper, for the supermarket models
we consider some important issues, such as, real-time dynamic control
modes; efficiency comparison; mean-field black hole; Markov changing
environment; stability; fixed point; system performance analysis.
At the same time, we also study these important issues through some
numerical examples, include performance comparison, and efficiency
analysis for advantages and disadvantages among the supermarket
models with either customers joining the shortest queue, or customers
joining any queue randomly, or customers joining the longest queue.
Further, we consider a more general supermarket model under an Markov
changing environment, and provide performance evaluation for the
supermarket model under an Markov changing environment.

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1����Ȫ��, ��԰԰, ��ɷ�.�ǶԳƳ���ģ�͵ı�������������Ż��о�[J]. Ӧ�ø���ͳ��, 2015,31(4): 411-431

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