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 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.
Operations and Supply Chain Management | Operations Research, Systems Engineering and Industrial Engineering
KUMAR, B. Krishna; PARTHASARATHY, P. R.; and MOOSA, Sharafali.
Transient Solution of an M/M/1 Queue with Balking. (1993). Queueing Systems. 13, (4), 441-448. Research Collection Lee Kong Chian School Of Business.
Available at: http://ink.library.smu.edu.sg/lkcsb_research/894