Analysis of a two-phase queueing system with a fixed-size batch policy

Cited 5 time in webofscience Cited 0 time in scopus
  • Hit : 580
  • Download : 0
We consider a single-server, two-phase queueing system with a fixed-size batch policy. Customers arrive at the system according to a Poisson process and receive batch service in the first-phase followed by individual services in the second-phase. The batch service in the first-phase is applied for a fixed number (k) of customers. If the number of customers waiting for the first-phase service is less than k when the server completes individual services, the system stays idle until the queue length reaches k. We derive the steady state distribution for the system's queue length. We also show that the stochastic decomposition property can be applied to our model. Finally, we illustrate the process of finding the optimal batch size that minimizes the long-run average cost under a linear cost structure. (C) 2010 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER SCIENCE BV
Issue Date
2010-10
Language
English
Article Type
Article
Keywords

SERVER VACATIONS; M/G/1 QUEUE; THRESHOLD; SERVICE; TIMES

Citation

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, v.206, no.1, pp.118 - 122

ISSN
0377-2217
DOI
10.1016/j.ejor.2010.02.005
URI
http://hdl.handle.net/10203/94330
Appears in Collection
IE-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 5 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0