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On generalized hysteretic control queues with modulated input and state dependent service

 

作者: Jewgeni H. Dshalalow,   Elijah Eseme Dikong,  

 

期刊: Stochastic Analysis and Applications  （Taylor Available online 1999）
卷期: Volume 17, issue 6  

页码: 937-961

 

ISSN:0736-2994

 

年代: 1999

 

DOI:10.1080/07362999908809644

 

出版商: Marcel Dekker, Inc.

 

关键词: Queueing Process;First Excess Level Process;First Passage Time;Termination Index;Quorum;N-policy;Hysteresis;Bulk Input;Batch Service;Fluctuation Theory;Eembedded Markov Chain;Equilibrium;Semi-Regenerative Processes;Modulated Process

 

数据来源: Taylor

 

摘要:

The authors study M/G/l type queues with modulated bulk input, state dependent batch service, and (r,N)-hysteretic discipline of idle and busy periods. In one of the models, the system has customers, that arrive during start-up periods, join the first servicing batch not in excess of server capacity..The analysis of the models is based on semi-regenerative and first excess level techniques developed by the first author and it yielded explicit formulas for the stationary distribution of the queuing process and other characteristics

 

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