ON A BULK QUEUING SYSTEM WITH IMPATIENT CUSTOMERS

Authors
TADJ L BENKHEROUF L AGGOUN L
Citation
L. Tadj et al., ON A BULK QUEUING SYSTEM WITH IMPATIENT CUSTOMERS, Mathematical problems in engineering, 3(6), 1998, pp. 539-554
Citations number
6
Categorie Soggetti
Mathematics,Engineering,Mathematics
Journal title
Mathematical problems in engineering → ACNP
ISSN journal
1024123X
Volume
3
Issue
6
Year of publication
1998
Pages
539 - 554
Database
ISI
SICI code
1024-123X(1998)3:6<539:OABQSW>2.0.ZU;2-6
Abstract
We consider a bulk arrival, bulk service queueing system. Customers ar e served in batches of r units if the queue length is not less than r. Otherwise, the server delays the service until the number of units in the queue reaches or exceeds level r. We assume that unserved custome rs may get impatient and leave the system. An ergodicity condition and steady-state probabilities are derived. Various system characteristic s are also computed.