M/M/1 queue with impatient customers of higher priority

Queueing Systems

Volumn 38, Issue 1, 2001, Pages 49-66

  Bong, Dae Choi ^a   Kim, Bara ^a   Chung, Jinmin ^b  

^a Korea University   (South Korea)

^b SAMSUNG Electronics   (South Korea)

Author keywords

Impatient customer; M M 1 queue; Markov process; Preemptive priority; System size; Total response time; Waiting time

Indexed keywords

MARKOV PROCESSES; QUEUEING THEORY;

IMPATIENT CUSTOMERS; M/M/1 QUEUE; PREEMPTIVE PRIORITY; SYSTEM SIZE; TOTAL RESPONSE; WAITING-TIME;

SALES;

EID: 0035343904     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1023/A:1010820112080     Document Type: Article

References (19)

1. F. Baccelli, P. Boyer and G. Hebuterne, Single server queues with impatient customers, Adv. Appl. Probab. 16 (1984) 887-905.
2. F. Baccelli and G. Hebuterne, On queues with impatient customers, in: Performance '81, ed. F.J. Kylstra (North-Holland, Amsterdam, 1981) pp. 159-179.
3. D.Y. Barrer, Queuing with impatient customers and ordered service, Oper. Res. 5 (1957) 650-656.
4. A. Brandt and M. Brandt, On the M(n)/M(n)/s queues with impatient calls, Performance Evaluation 35 (1999) 1-18.
5. A. Brandt and M. Brandt, On a two-queue priority system with impatience and its application to a call center, Methods Comput. Appl. Probab. 1 (1999) 191-210.
6. J.W. Cohen, Single-server queues with restricted accessibility, J. Engrg. Math. 3 (1969) 265-284.
7. R.B. Cooper, Introduction to Queueing Theory, 2nd ed. (North-Holland, New York, 1981).
8. D.J. Daley, General customer impatience in the queue GI/G/1, J. Appl. Probab. 2 (1965) 186-205.
9. P.D. Finch, Deterministic customer impatience in the queueing system GI/M/1, Biometrika 47(1,2) (1960) 45-52.
10. B.V. Gnedenko and I.N. Kovalenko, Introduction to Queueing Theory (Israel Program for Scientific Translations, Jerusalem, 1968).
11. O.M. Jurkevic, On the investigation of many-server queueing systems with bounded waiting time, Izv. Akad. Nauk SSSR Techniceskaja Kibernetika 5 (1970) 50-58 (in Russian).
12. O.M. Jurkevic, On many-server systems with stochastic bounds for the waiting time, Izv. Akad. Nauk SSSR Techniceskaja Kibernetika 4 (1971) 39-46 (in Russian).
13. A.G. de Kok and H.C. Tijms, A queueing system with impatient customers, J. Appl. Probab. 22 (1985) 688-696.
14. A.G. de Kok and H.C. Tijms, A two-moment approximation for a buffer design problem requiring a small rejection probability, Performance Evaluation 5 (1985) 77-84.
15. A. Movaghar, On queueing with customer impatience until the beginning of service, Queueing Systems 29 (1998) 337-350.
16. R.E. Stanford, Reneging phenomena in single server queues, Math. Oper. Res. 4 (1979) 162-178.
17. R.E. Stanford, On queues with impatience, Adv. Appl. Probab. 22 (1990) 768-769.
18. L. Takács, A single-server queue with limited virtual waiting times, J. Appl. Probab. (1974) 612-617.
19. R.W. Wolff, Poisson arrivals see time averages, Oper. Res. 30(2) (1982) 223-231.