Transient Solution of an M/M/1 Queue with Balking

Transient Solution of an M/M/1 Queue with Balking

This paper presents an analysis for the M/M/c queue with balking and reneging. It is assumed that arriving customers balk with a fixed probability and renege according to a negative exponential distribution. The generating function technique will be used to obtain the transient solution of system wh...

Full description

Saved in:
Bibliographic Details
Main Authors: KUMAR, B. Krishna, PARTHASARATHY, P. R., MOOSA, Sharafali
Format: text
Language:English
Published: Institutional Knowledge at Singapore Management University 1993
Subjects:
Operations and Supply Chain Management
Operations Research, Systems Engineering and Industrial Engineering
Online Access:https://ink.library.smu.edu.sg/lkcsb_research/894
https://doi.org/10.1007/BF01149265
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Singapore Management University
Language: English
Description
Summary:This paper presents an analysis for the M/M/c queue with balking and reneging. It is assumed that arriving customers balk with a fixed probability and renege according to a negative exponential distribution. The generating function technique will be used to obtain the transient solution of system which results in a simple differential equation. Based on the properties of Bessel functions in the solution of this differential equation the probabilities can be extracted in a direct way.

Similar Items