On the M(n)/M(n)/s queue with impatient calls

Performance Evaluation

Volumn 35, Issue 1, 1999, Pages 1-18

  Brandt, Andreas ^a   Brandt, Manfred ^b  

^a HUMBOLDT UNIVERSITY   (Germany)

^b ZUSE INSTITUTE BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; VECTORS;

AUTOMATIC CALL DISTRIBUTOR (ACD) SYSTEM; FINITE CAPACITY; OCCUPANCY DISTRIBUTION; WAITING TIME DISTRIBUTION;

QUEUEING THEORY;

EID: 0032654940     PISSN: 01665316     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-5316(98)00042-X     Document Type: Article

References (26)

1. Baccelli F., Boyer P., Hebuterne G. Single server queues with impatient customers. Adv. Appl. Probab. 16:1984;887-905.
2. F. Baccelli, G. Hebuterne, On queues with impatient customers, in: F.J. Kylstra (Ed.), Performance '81, North-Holland, Amsterdam, 1981, pp. 159-179.
3. Barrer D.Y. Queueing with impatient customers and indifferent clerks. Oper. Res. 5:1957;644-649.
4. Barrer D.Y. Queueing with impatient customers and ordered service. Oper. Res. 5:1957;650-656.
5. A. Brandt, M. Brandt, G. Spahl, D. Weber, Modelling and optimization of call distribution systems, Proc. 15th Int. Teletraffic Congress (ITC 15), Washington, DC, USA, 1997, pp. 133-144.
6. A. Brandt, P. Franken, B. Lisek, Stationary Stochastic Models, Akademie-Verlag, Berlin; Wiley, Chichester, 1990.
7. Brodi S.M. On an integro-differential equation for systems with. τ -waiting (in Ukrainian) Dop. AN URSR. 6:1959;571-573.
8. S.M. Brodi, On a service problem (in Russian), Tr. V. Vsesojuznogo sovescanija po teorii verojatnostej i matematiceskoj statistike, Izd-vo AN Arm. SSR, Erevan (1960) 143-147.
9. Daley D.J. General customer impatience in the queue GI/G/1. J. Appl. Probab. 2:1965;186-205.
10. G. Dumas, M. Perkins, C. White, Improving efficiency of PBX-based call centers: Combining inbound and outbound agents with automatic call sharing, Proc. 15th Int. Switching Symp., Berlin, 1995, pp. 346-350.
11. P. Franken, D. König, U. Arndt, V. Schmidt, Queues and Point Processes, Akademie-Verlag, Berlin; Wiley, Chichester, 1982.
12. B.W. Gnedenko, D. König, Handbuch der Bedienungstheorie, vol. II, Akademie-Verlag, Berlin, 1984.
13. B.W. Gnedenko, I.N. Kowalenko, Einführung in die Bedienungstheorie (1st ed. in Russian, Nauka, Moscow, 1966). Akademie-Verlag, Berlin, 1974.
14. Haugen R.B. Queueing systems with several input streams and time out. Telektronikk. 2:1978;100-106.
15. Haugen R.B., Skogan E. Queueing systems with stochastic time out. IEEE Trans. Commun. COM-28:1980;1984-1989.
16. Jurkevic O.M. On the investigation of many-server queueing systems with bounded waiting time (in Russian). Izv. Akad. Nauk SSSR Techniceskaja kibernetika. 5:1970;50-58.
17. Jurkevic O.M. On many-server systems with stochastic bounds for the waiting time (in Russian). Izv. Akad. Nauk SSSR Techniceskaja kibernetika. 4:1971;39-46.
18. Jurkevic O.M. On many-server systems with general service time distribution of "impatient customers" (in Russian). Izv. Akad. Nauk SSSR Techniceskaja kibernetika. 6:1973;80-89.
19. A. Mandelbaum, N. Shimkin, A model for rational abandonments from invisible queues, Unpublished paper, Technion, Haifa, 1998.
20. Palm C. Methods of judging the annoyance caused by congestion. Tele No. 2:1953;1-20.
21. M. Perry, Performance modelling of automatic call distributors, Ph.D. Thesis, North Carolina State University, 1991.
22. M. Perry, A. Nilsson, Performance modelling of automatic call distributors: Assignable grade of service staffing, Proc. 14th Int. Switching Symp., Yokohama, 1992, pp. 294-298.
23. Singh M. Steady state behaviour of serial queueing processes with impatient customers. Math. Operationsforsch. Ser. Statist. 15(2):1984;289-298.
24. K.C. So, C. Tang, Operational strategies for managing congestion in service systems. Working paper, Graduate School of Management University of California, Irvine, CA, 1993.
25. Teghem J. Use of discrete transforms for the study of a. GI/M/s queue with impatient customer phenomena Z. Oper. Res. 23:1979;95-106.
26. B. Wallstrøm, A queueing system with time-outs and random departure, Proc. ITC 8, Melbourne, 1976, paper 231.