Cost analysis of a finite M/M/R queueing system with balking, reneging, and server breakdowns

Mathematical Methods of Operations Research

Volumn 56, Issue 2, 2002, Pages 169-180

  Wang, Kuo Hsiung ^a   Chang, Ying Chung ^a  

^a NATIONAL CHUNG HSING UNIVERSITY   (Taiwan)

Author keywords

Balk; Cost; Matrix geometric method; Renege; Server breakdowns

Indexed keywords

COST EFFECTIVENESS; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; SERVERS;

QUEUEING SYSTEMS;

QUEUEING NETWORKS;

EID: 0036855003     PISSN: 14322994     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001860200206     Document Type: Article

References (12)

1. Haight F.A. (1957) Queueing with balking. Biometrika 44:360-369.
2. Haight F.A. (1959) Queueing with reneging. Metrika 2:186-197.
3. Finch P.D. (1960) Deterministic customer impatience in the queueing system GI/M/1. Biometrika 47:45-52.
4. Ancker Jr. C.J., Gafarian A.V. (1963) Some queueing problems with balking and reneging: I. Opns Res 11:88-100.
5. Ancker Jr. C.J., Gafarian A.V. (1963) Some queueing problems with balking and reneging: II. Opns Res 11:928-937.
6. Abou-El-Ata M.O., Shawky A.I. (1992) The single-server Markovian overflow queue with balking, reneging and an additional server for longer queues. Microelectron Reliab 32:1389-1394.
7. Jaiswal N.K. (1965) On some waiting line problems. Opsearch(India) 2:27-43.
8. Rao S.S. (1968) Queueing with balking and reneging in M/G/1 systems. Metrika 12:173-188.
9. Rao S.S. (1965) Queueing models with balking, reneging, and interruptions. Opns Res 13:596-608.
10. Rao S.S., Jaiswal N.K. (1969) On a class of queueing problems and discrete transforms. Opns Res 17:1063-1076.
11. Abou-El-Ata M.O., Hariri A.M.A. (1992) The M/M/c/N queue with balking and reneging. Computers and Operations Research 19:713-716.
12. Neuts M.F. (1981) Matrix geometric solutions in stochastic models: An algorithmic approach. The John Hopkins University Press: Baltimore.