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

2004 ◽  
Vol 20 (1) ◽  
pp. 55-69 ◽  
Author(s):  
B. Van Houdt# ◽  
C. Blondia
Keyword(s):  
Discrete Time ◽  
Waiting Time ◽  
Time Distribution ◽  
Waiting Time Distribution

scholarly journals The waiting time analysis of a discrete-time queue with arrivals as a discrete autoregressive process of order 1

2002 ◽  
Vol 39 (03) ◽  
pp. 619-629 ◽  
Author(s):  
Gang Uk Hwang ◽  
Bong Dae Choi ◽  
Jae-Kyoon Kim
Keyword(s):  
Discrete Time ◽  
Waiting Time ◽  
Time Distribution ◽  
Heavy Traffic ◽  
Autoregressive Process ◽  
Waiting Time Distribution ◽  
Tail Probabilities ◽  
Waiting Time Distributions ◽  
Virtual Waiting Time ◽  
Asymptotic Decay Rate

We consider a discrete-time queueing system with the discrete autoregressive process of order 1 (DAR(1)) as an input process and obtain the actual waiting time distribution and the virtual waiting time distribution. As shown in the analysis, our approach provides a natural numerical algorithm to compute the waiting time distributions, based on the theory of the GI/G/1 queue, and consequently we can easily investigate the effect of the parameters of the DAR(1) on the waiting time distributions. We also derive a simple approximation of the asymptotic decay rate of the tail probabilities for the virtual waiting time in the heavy traffic case.

An extension of the waiting time distribution of first conceptions

1978 ◽  
Vol 10 (3) ◽  
pp. 231-234
Author(s):  
K. B. Pathak
Keyword(s):  
Discrete Time ◽  
Waiting Time ◽  
Time Distribution ◽  
Probability Model ◽  
Waiting Time Distribution ◽  
Moment Estimates ◽  
The Moment

SummaryA discrete time probability model has been developed to describe the waiting time until the first conception for a woman who is married before the age of 20 years. The model is illustrated by applying it to data on the time of first conception on the basis of the moment estimates of the parameters.

scholarly journals The waiting time analysis of a discrete-time queue with arrivals as a discrete autoregressive process of order 1

2002 ◽  
Vol 39 (3) ◽  
pp. 619-629 ◽  
Author(s):  
Gang Uk Hwang ◽  
Bong Dae Choi ◽  
Jae-Kyoon Kim
Keyword(s):  
Discrete Time ◽  
Waiting Time ◽  
Time Distribution ◽  
Heavy Traffic ◽  
Autoregressive Process ◽  
Waiting Time Distribution ◽  
Tail Probabilities ◽  
Waiting Time Distributions ◽  
Virtual Waiting Time ◽  
Asymptotic Decay Rate

We consider a discrete-time queueing system with the discrete autoregressive process of order 1 (DAR(1)) as an input process and obtain the actual waiting time distribution and the virtual waiting time distribution. As shown in the analysis, our approach provides a natural numerical algorithm to compute the waiting time distributions, based on the theory of the GI/G/1 queue, and consequently we can easily investigate the effect of the parameters of the DAR(1) on the waiting time distributions. We also derive a simple approximation of the asymptotic decay rate of the tail probabilities for the virtual waiting time in the heavy traffic case.

Sign in / Sign up

Export Citation Format

Share Document