EconPapers    
Economics at your fingertips  
 

Time-Dependent Solution of a Priority Queue with Bulk Arrival

A. G. Hawkes
Additional contact information
A. G. Hawkes: University College London, London, England

Operations Research, 1965, vol. 13, issue 4, 586-595

Abstract: The time-dependent distribution of the number of customers in the queue and the lapsed service time is obtained, in terms of Laplace transforms, for a head-of-the-line priority queue in which both classes of customer arrive in bunches. From this we obtain the equilibrium distribution and the distribution of the number of customers left behind a departing customer. The latter is then used to find the equilibrium distribution of queuing times for both classes of customer. It is not easy to obtain a complete explicit solution, even for exponential service times, but the mean queuing times are readily obtained.

Date: 1965
References: Add references at CitEc
Citations:

Downloads: (external link)
http://dx.doi.org/10.1287/opre.13.4.586 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:13:y:1965:i:4:p:586-595

Access Statistics for this article

More articles in Operations Research from INFORMS Contact information at EDIRC.
Bibliographic data for series maintained by Chris Asher ().

 
Page updated 2025-03-19
Handle: RePEc:inm:oropre:v:13:y:1965:i:4:p:586-595