Multi-server retrial queue with negative customers and disasters

被引:0
作者
Yang Woo Shin
机构
[1] Changwon National University,Department of Statistics
来源
Queueing Systems | 2007年 / 55卷
关键词
Retrial queue; Marked Markovian arrival process (MMAP); Negative customers; Disasters; Queue length; Stochastic order; Tightness; 60K25;
D O I
暂无
中图分类号
学科分类号
摘要
We consider a multi-server retrial queue with waiting places in service area and four types of arrivals, positive customers, disasters and two types of negative customers, one for deleting customers in orbit and the other for deleting customers in service area. The four types of arrivals occur according to a Markovian arrival process with marked transitions (MMAP) which may induce the dependence among the arrival processes of the four types.
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页码:223 / 237
页数:14
相关论文
共 43 条
[1]  
Anisimov VV(2001)Analysis of Markov multiserver retrial queues with negative arrivals Queueing Syst 39 157-182
[2]  
Artalejo JR(1999)A classified bibliography of research on retrial queues: progress in 1990–1999 Top 7 187-211
[3]  
Artalejo JR(2000)G-networks: a versatile approach for work removal in queueing networks Eur J Oper Res 126 233-249
[4]  
Artalejo JR(1998)Generalized birth and death processes with applications to queues with repeated attempts and negative arrivals OR Spektr 20 5-14
[5]  
Artalejo JR(1999)On a single server queue with negative arrivals and request repeated J Appl Probab 36 907-918
[6]  
Gomez-Corral A(1986)Almost sure comparison of birth and death processes with application to Queueing Syst 1 103-127
[7]  
Artalejo JR(2002)/ Queueing Syst 40 433-457
[8]  
Gomez-Corral A(1995)/ Stoch Models 11 497-525
[9]  
Bhaskaran BG(2002) queueing systems Queueing Syst 42 5-31
[10]  
Breuer L(1995)A retrial Oper Res Lett 18 75-79