scholarly journals Maintainability and Capability of the Multi-Server System in Repairing Defective Machine Configurations with Different Probability Distributions

2018 ◽  
Vol 11 (2) ◽  
pp. 240-255 ◽  
Author(s):  
I.M. Hanafy ◽  
Mohammed Mohammed El-Genidy ◽  
Esraa Ahmed Hebeshy
Keyword(s):  
Probability Distributions ◽  
Multi Server ◽  
Server System

scholarly journals Multi-server system with single working vacation

2009 ◽  
Vol 33 (7) ◽  
pp. 2967-2977 ◽  
Author(s):  
Chuen-Horng Lin ◽  
Jau-Chuan Ke
Keyword(s):  
Working Vacation ◽  
Multi Server ◽  
Server System

scholarly journals Asymptotic Diffusion Analysis of Multi-Server Retrial Queue with Hyper-Exponential Service

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 531 ◽  
Author(s):  
Alexander Moiseev ◽  
Anatoly Nazarov ◽  
Svetlana Paul
Keyword(s):  
Numerical Analysis ◽  
Diffusion Process ◽  
Service Time ◽  
Probability Distributions ◽  
Retrial Queue ◽  
Stationary Probability ◽  
Diffusion Analysis ◽  
Number Of Customers ◽  
Multi Server

A multi-server retrial queue with a hyper-exponential service time is considered in this paper. The study is performed by the method of asymptotic diffusion analysis under the condition of long delay in orbit. On the basis of the constructed diffusion process, we obtain approximations of stationary probability distributions of the number of customers in orbit and the number of busy servers. Using simulations and numerical analysis, we estimate the accuracy and applicability area of the obtained approximations.

A model for queues in series

1973 ◽  
Vol 10 (03) ◽  
pp. 691-696 ◽  
Author(s):  
O. P. Sharma
Keyword(s):  
Probability Distributions ◽  
Steady State Solution ◽  
Single Server ◽  
Poisson Input ◽  
Phase Type ◽  
In Series ◽  
Queues In Series ◽  
Finite Space ◽  
Multi Server ◽  
Stationary Behaviour

This paper studies the stationary behaviour of a finite space queueing model consisting of r queues in series with multi-server service facilities at each queue. Poisson input and exponential service times have been assumed. The model is suitable for phase-type service as well as service with waiting allowed before the different phases. In the case of single-server queues explicit expressions for certain probability distributions, parameters and a steady-state solution for infinite queueing space have been obtained.

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