Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/147162
Authors: 
Singh, Charan Jeet
Jain, Madhu
Kumar, Binay
Year of Publication: 
2013
Citation: 
[Journal:] Journal of Industrial Engineering International [ISSN:] 2251-712X [Volume:] 9 [Year:] 2013 [Pages:] 1-9
Abstract: 
In this paper, we investigate a single-server Poisson input queueing model, wherein arrivals of units are in bulk. The arrival rate of the units is state dependent, and service time is arbitrary distributed. It is also assumed that the system is subject to breakdown, and the failed server immediately joins the repair facility which takes constant duration to repair the server. By using supplementary variable technique, we obtain the probability generating function of the number of units in the system which is further used to establish some performance indices such as the mean number of units in the system, mean waiting time, etc. Special cases are also discussed. In order to obtain approximate values of system state probabilities, the principle of maximum entropy is employed. Numerical results are also presented to validate the analytical formulae.
Subjects: 
Bulk queue
Arbitrary service time
Breakdown
Supplementary variable
Queue size
Persistent Identifier of the first edition: 
Creative Commons License: 
http://creativecommons.org/licenses/by/2.0/
Document Type: 
Article

Files in This Item:
File
Size
479.79 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.