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The Waiting Time Distribution of a TypekCustomer in a Discrete-Time MMAP[K]/PH[K]/c (c = 1, 2) Queue Using QBDs

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References

1999Introduction to Matrix Analytic Methods in Stochastic Modeling1,988 cited
1998Markov chains with marked transitions11This research was supported in part by Grant No. DMI-930628 from the National Science Foundation and the K.C. Wang Education Foundation.129 cited
1996Queues with marked customers119 cited
1994The workload in theMAP/G/1 queue with state-dependent services:its application to a queue with preemptive resume priority78 cited
2001Queue Length Distribution in a FIFO Single-Server Queue with Multiple Arrival Streams Having Different Service Time Distributions43 cited
2001The Versatility of MMAP[K] and the MMAP[K]/G[K]/1 Queue36 cited
2002The delay distribution of a type k customer in a first-come-first-served MMAP[K]/PH[K]/1 queue20 cited

Cited by

2005Age Process, Workload Process, Sojourn Times, and Waiting Times in a Discrete Time SM[K]/PH[K]/1/FCFS Queue19 cited
2012Analysis of a continuous time SM[K]/PH[K]/1/FCFS queue: Age process, sojourn times, and queue lengths17 cited
2018First-come-first-served queues with multiple servers and customer classes17 cited
2008Q-MAM: A Tool for Solving Infinite Queues using Matrix-Analytic Methods16 cited
2010Quasi-birth-and-death processes with restricted transitions and its applications12 cited

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