Transient Solution of M [X]/G/1 Queue system with Balking and Re service
Main Article Content
Abstract
batch arrival non-Markovian queue system in where consumers arrival
are batches in accordance with Poisson process and customer are treated by first-comefirst-
served principle. When a customer’s service is completed, he or she has the
choice of requesting reservice for the same service or exiting the mode. Each
customer’s service duration follows a genaral (arbitrary) distribution. In addition, after
completing service, server takes vacation by having probability p or may be remain
with probability 1−p, if any, to serve a subsequent customer. One of the impatient
customers behavior balking, has also been added, indicating that a consumer can
choose whether or not to enter the system. Also, we suppose after every period the
server could not begin to providing service immediately, but rather requires some
startup time before giving service to the first consumer. After discussion of transiant
steady state system we can obtain closed-form system performance measurements
Downloads
Metrics
Article Details
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.