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On a bulk arrival bulk service infinite service queue

 

作者: P.V. Ushakumari,   A. Krishnamoorthy,  

 

期刊: Stochastic Analysis and Applications  （Taylor Available online 1998）
卷期: Volume 16, issue 3  

页码: 585-595

 

ISSN:0736-2994

 

年代: 1998

 

DOI:10.1080/07362999808809550

 

出版商: Marcel Dekker, Inc.

 

关键词: Infinite Server Queue;Batch Arrival;Batch Service

 

数据来源: Taylor

 

摘要:

This paper considers an infinite server queue in continuous time in which arrivals are in batches of variable size X and service is provided in groups of fixed size R. We obtain analytical results for the number of busy servers and waiting customers at arbitrary time points. For the number of busy servers, we obtain a recursive relation for the partial binomial moments both in transient and steady states. Special cases are also discussed

 

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