The M/G/1+G queue revisited

Queueing Systems

Volumn 67, Issue 3, 2011, Pages 207-220

  Boxma, Onno ^a   Perry, David ^b   Stadje, Wolfgang ^c  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITY OF HAIFA   (Israel)

^c UNIVERSITY OF OSNABRÜCK   (Germany)

Author keywords

Balking; Busy period; Cycle maximum; Impatience; Number of customers; Reneging; Single server queue; Workload

Indexed keywords

QUEUEING THEORY;

BALKING; BUSY PERIOD; CYCLE MAXIMUM; IMPATIENCE; NUMBER OF CUSTOMERS; RENEGING; SINGLE SERVER QUEUE; WORKLOAD;

SALES;

EID: 79955933340     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1007/s11134-010-9205-y     Document Type: Article

References (16)

1. Baccelli, F., Hébuterne, G.: On queues with impatient customers. In: Kylstra, F. J. (ed.) Performance'81, pp. 159-179. North-Holland, Amsterdam (1981).
2. Baccelli, F., Boyer, P., Hébuterne, G.: Single-server queues with impatient customers. Adv. Appl. Probab. 16, 887-905 (1984).
3. Bae, J., Kim, S., Lee, E. Y.: The virtual waiting time of the M/G/1 queue with impatient customers. Queueing Syst. 38, 485-494 (2001).
4. Barrer, D. Y.: Queuing with impatient customers and ordered service. Oper. Res. 5, 650-656 (1957).
5. Boxma, O. J., Perry, D.: On the cycle maximum of mountains, dams and queues. Comm. Stat., Theory Methods 38, 2706-2720 (2009). Special issue in honor of Shelley Zacks.
6. Boxma, O. J., Perry, D., Stadje, W., Zacks, S.: The M/G/1 queue with quasi-restricted accessibility. Stoch. Models 25, 151-196 (2009).
7. Boxma, O. J., Perry, D., Stadje, W., Zacks, S.: The busy period of an M/G/1 queue with customer impatience. J. Appl. Probab. 47, 130-145 (2010).
8. Finch, P. D.: Deterministic customer impatience in the queueing system GI/M/1. Biometrika 47, 45-52 (1960).
9. Gavish, B., Schweitzer, P. J.: The Markovian queue with bounded waiting time. Manag. Sci. 23, 1349-1357 (1977).
10. Perry, D., Asmussen, S.: Rejection rules in the M/G/1 queue. Queueing Syst. 19, 105-130 (1995).
11. Perry, D., Stadje, W., Zacks, S.: Busy period analysis for M/G/1 and G/M/1 type queues with restricted accessibility. Oper. Res. Lett. 27, 163-174 (2000).
12. Stanford, R. E.: Reneging phenomena in single channel queues. Math. Oper. Res. 4, 162-178 (1979).
13. Stanford, R. E.: On queues with impatience. Adv. Appl. Probab. 22, 768-769 (1990).
14. Subba Rao, S.: Queuing models with balking and reneging. Ann. Inst. Math. Jpn. 19, 55-71 (1967).
15. Subba Rao, S.: Queuing with balking and reneging in M/G/1 systems. Metrika 6, 173-188 (1967/1968).
16. Takács, L.: Combinatorial Methods in the Theory of Stochastic Processes. Wiley, New York (1967).