|
Bernoulli Vacation Policy for a Bulk Retrial Queue with Fuzzy Parameters
|
S. Upadhyaya   |
|
|
|
Abstract: (11274 Views) |
| In this paper, we investigate the fuzzy logic based system characteristics of MX/G/1 retrial
queuing system with Bernoulli vacation schedule. The service time and vacation time are assumed to
be generally distributed. It is found in many practical situations that the queuing models with fuzzy
parameters are much more realistic than the classical crisp parameters based queuing models. We have
chosen group arrival rate, service rate and vacation rate to be fuzzy parameters. The objective of this
study in this paper is to transform MX/G/1 retrial fuzzy queue with Bernoulli vacation schedule to a
family of conventional crisp queues by employing -cut approach based on Zadeh’s extension
principle. We formulate a pair of parametric non-linear programs (PNLPs) to describe the family of
crisp queues with a vacationing server. To illustrate the validity of the proposed approach, the
numerical examples are facilitated for different service time and vacation time distributions. |
|
| |
|
|
Full-Text [PDF 729 kb]
(3517 Downloads)
|
Type of Study: Research |
Subject:
Special
Received: 2013/06/23 | Published: 2013/06/15
|
|
|
|
|
|
|
| Send email to the article author |
|
|
|
| Add your comments about this article |
|
|
|
