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First excess level analysis of random processes in a class of stochastic servicing systems with global control

 

作者: Jewgeni H. Dshalalow,  

 

期刊: Stochastic Analysis and Applications  （Taylor Available online 1994）
卷期: Volume 12, issue 1  

页码: 75-101

 

ISSN:0736-2994

 

年代: 1994

 

DOI:10.1080/07362999408809339

 

出版商: Marcel Dekker, Inc.

 

关键词: First Passage Problem;Theory of Fluctuations;Compound Processes;Modulated Random Measures;Markov Process;Delayed Renewal Process;Semi-Regenerative Process;Queueing System;Bulk Arrivals;Bulk Service;Random Server Capacity;Queueing Process

 

数据来源: Taylor

 

摘要:

This paper deals with stochastic processes that are encountered in a wide class of bulk–input and bulk–service servicing systems systems with one server of random capacity. It generalizes most of the known stochastic bulk queueing models. The analysis is based on recent results for a class of compound point process and their behaviour about some critical level which in this paper is assumed to be random and state dependent

 

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