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This paper studies many-server limits for multi-server queues that have a phase-type service time distribution and allow for customer abandonment. The first set of limit theorems is for critically lo...
This work considers a many-server queueing system in which impatient customers with i.i.d., generally distributed service times and i.i.d., generally distributed patience times enter service in the o...
The non-truncated bulk arrival queue M^x/M/1 with reneging, balking, state-dependent and an additional server for longer queues
Non-truncated queue longer queues Balking Reneging concept
2010/9/10
The aim of this paper is to derive the solution of the non-truncated queue: Mx/M/1 with reneging, balking, state-dependent and an additional server for longer queues. In this case the units arrive in ...
Analysis and Computational Algorithm for Queues with State-Dependent Vacations II: M(n)/G/1/K
M(n)/G/1 queue queue length distribution recursive algorithm removable server state-dependent arrival supplementary variable
2007/12/11
We study a single-server queueing system with state-dependent arrivals and general service distribution, or simply M(n)/G/1/K, where the server follows an N policy and takes multiple vacations when th...
Analysis and Computational Algorithm for Queues with State-Dependent Vacations II: M(n)/G/1/K
2007/8/7
We study a single-server queueing system with state-dependent arrivals and general service distribution, or simply M(n)/G/1/K, where the server follows an N policy and takes multiple vacations when th...
ANALYSIS AND COMPUTATIONAL ALGORITHM FOR QUEUES WITH STATE-DEPENDENT VACATIONS I: G/M(n)/1/K
2007/8/7
In this paper we study a queueing system with state-dependent services andstate-dependent vacations, or simply $G/M(n)/1/K$. Since the service rate isstate-dependent, this system includes $G/M/c$ and ...