scholarly journals Analysis of Two-Server Queueing Model with Phase-Type Service Time Distribution and Common Phases of Service

2016 ◽  
pp. 19-29
Author(s):  
Chesoong Kim ◽  
Alexander Dudin ◽  
Sergey Dudin ◽  
Olga Dudina
Keyword(s):  
Service Time ◽  
Time Distribution ◽  
Service Time Distribution ◽  
Queueing Model ◽  
Phase Type

The discrete-time single-server queue with time-inhomogeneous compound Poisson input and general service time distribution

1978 ◽  
Vol 15 (3) ◽  
pp. 590-601 ◽  
Author(s):  
Do Le Minh
Keyword(s):  
Discrete Time ◽  
Service Time ◽  
Time Distribution ◽  
Single Server ◽  
Service Time Distribution ◽  
Queueing Model ◽  
Compound Poisson ◽  
Poisson Input ◽  
Server Queue ◽  
General Service

This paper studies a discrete-time, single-server queueing model having a compound Poisson input with time-dependent parameters and a general service time distribution.All major transient characteristics of the system can be calculated very easily. For the queueing model with periodic arrival function, some explicit results are obtained.

The discrete-time single-server queue with time-inhomogeneous compound Poisson input and general service time distribution

1978 ◽  
Vol 15 (03) ◽  
pp. 590-601 ◽  
Author(s):  
Do Le Minh
Keyword(s):  
Discrete Time ◽  
Service Time ◽  
Time Distribution ◽  
Single Server ◽  
Service Time Distribution ◽  
Queueing Model ◽  
Compound Poisson ◽  
Poisson Input ◽  
Server Queue ◽  
General Service

This paper studies a discrete-time, single-server queueing model having a compound Poisson input with time-dependent parameters and a general service time distribution. All major transient characteristics of the system can be calculated very easily. For the queueing model with periodic arrival function, some explicit results are obtained.

On monotone optimal policies in a queueing model of M/G/1 type with controllable service time distribution

1979 ◽  
Vol 11 (4) ◽  
pp. 870-887 ◽  
Author(s):  
Eckhardt Gallisch
Keyword(s):  
Service Time ◽  
Optimal Policy ◽  
Time Distribution ◽  
Decision Model ◽  
Service Time Distribution ◽  
Queueing Model ◽  
Cost Criterion ◽  
Optimal Policies ◽  
Markov Decision ◽  
Markov Decision Model

A queueing model of M/G/1 type with controllable service time distribution is considered in this paper. Conditions on costs and service time distribution only are established such that there exists a monotone policy optimal relative to the average cost criterion. To prove this, it is shown that it suffices to search for a monotone optimal policy in a Markov decision model associated with the queueing model.

On monotone optimal policies in a queueing model of M/G/1 type with controllable service time distribution

1979 ◽  
Vol 11 (04) ◽  
pp. 870-887 ◽  
Author(s):  
Eckhardt Gallisch
Keyword(s):  
Service Time ◽  
Optimal Policy ◽  
Time Distribution ◽  
Decision Model ◽  
Service Time Distribution ◽  
Queueing Model ◽  
Cost Criterion ◽  
Optimal Policies ◽  
Markov Decision ◽  
Markov Decision Model

A queueing model of M/G/1 type with controllable service time distribution is considered in this paper. Conditions on costs and service time distribution only are established such that there exists a monotone policy optimal relative to the average cost criterion. To prove this, it is shown that it suffices to search for a monotone optimal policy in a Markov decision model associated with the queueing model.

Sign in / Sign up

Export Citation Format

Share Document