Combinatorial considerations for switching systems carrying multi-channel traffic streams

Annales des Telecommunications/Annals of Telecommunications

Volumn 51, Issue 11-12, 1996, Pages 611-626

  Stasiak, Maciej ^a  

^a POZNAN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Accessibility; Blocking probability; Combinatorial method; Multiple service network; Switching network; Telecommunication switching; Time division switching

Indexed keywords

EID: 0000446375     PISSN: 00034347     EISSN: 19589395     Source Type: Journal    
DOI: None     Document Type: Article

References (46)

1. ***. Performance evaluation and design of multiservice networks. Final Report COST 224. Published by the Commission of the European Communities, Ed. Roberts (J.). Brussels, Luxembourg (1992), pp. 36-44.
2. WOODRUFF (G.), KOSITPAIBOON (R.), FITZPATRICK (G.), RICHARDS (P.). Control of ATM statistical multiplexing performance. Proc. ITC Specialists' Seminar, Adelaide (1989).
3. RITTER (M.), TRAN-GIA (P.). Multirate models for dimensioning and performance evaluation of ATM networks. University of Wurzburg, Report D-97074. Cost 242 (1994), pp. 1-125.
4. KARLSSON (J M.). Loss performance in trunk groups with different capacity demands. Proc. 13th ITC, Copenhagen, vol. Discussion Circles (1991), pp. 201-212.
5. FITZPATRICK (G. J.), BESHAI (M. E.), MUNTER (E. A.). Analysis of large-scale three-stage networks serving multirate traffic. Proc. 13th ITC, Copenhagen (1991), 14, pp. 905-910.
6. KELLY (F. P.). Effective bandwith at multi-class queues. Queueing Systems (1991), 9, no 1, pp. 5-16.
7. WALLMEIER (E.). A connection acceptance algorithm for ATM networks based on mean and peak bit rates. Int. Journal on Digital and Analog Commun. Systems (1990), 3, pp. 144-153.
8. BUTTO (M.), COLOMBO (G.). Analytic models for switching networks with wideband traffic. Proc. 12th ITC, Torino (1988), paper 5.1 A. 4.1.
9. KAUFMAN (J. S.). Blocking in a shared resource environment. IEEE Trans. COM (oct. 1981). 29, no 10, pp. 1474-1481.
10. ROBERTS (J. W.). A service system with heterogeneous user requirements in performance of data communications systems and their applications. Ed. Pujolle (G.). North Holland, Amsterdam (1981).
11. DELBROUCK (L. E. N.). On the steady-state distribution in a service facility carrying mixtures of traffic with different peakedness factors and capacity requirements. IEEE Trans. COM (nov. 1983), 31, no 11, pp. 1209-1211.
12. CONRADT (J.), BUCHHEISTER (A.). Considerations on loss probability of multi-slot connections. Proc. 11th ITC, Kyoto (1985), paper 4.4B-2.1.
13. STASIAK (M.). An approximate model of a switching network carrying mixture of different multichannel traffic streams. IEEE Trans. COM (June 1993), 41, no 6, pp. 836-840.
14. STASIAK (M.). Calculations of blocking probability in switching network carrying different multi-channel traffics. Proc. 13th ITC, Copenhagen, vol : Discussion Circles (1991), pp. 177-182.
15. WEBER (A.), FISCHER (W.), HUBER (M.). Multichannel circuit switching - performance evaluation of switching networks. IEEE J. Select. Areas Commun. (Feb. 1991), 9, no 2, pp. 226-232.
16. ERSHOV (V. A.), IGELNIK (M.). Grade of service analysis for multichannel switching in ISDN. Proc. 13th ITC, Copenhagen, vol : Teletraftic and data traffic (1991). pp. 891-898.
17. BESHAI (M. E.), MANFIELD (D. R.). Multichannel services performance of switching networks. Proc. 12th ITC, Torino (1988), paper 5.1A.7.
18. FICHE (G.), LE GALL (P.), RICUPERO (S.). Study of blocking for multislot connections in digital link systems. Proc. 11th ITC, Kyoto (1985), paper 5.4B-2-1.
19. INOSE (H.). An introduction to digital integrated communications systems. University of Tokyo Press, Tokyo (1979).
20. JACOBAEUS (C.). A study on congestion in link-systems. Ericsson Technics (1950), no 48, pp. 1-68.
21. MURAKAMI (K.), KATOH (M.), ABE (S.). Traffic design for time division wideband switching networks. Proc. 11th ITC, Kyoto (1985), paper 5.4B-3-1.
22. SAITO (T.), INOSE (H.), HAYASHI (S.). Evaluation of traffic carrying capability in one-stage and two-stage time-division networks handling data with a variety of speed classes. Proc. 9th ITC, Torremolinos (1979).
23. RAMASWAMI (V.), RAO (K. A.). Flexible time slot assignment - a performance study for the integrated services digital network. Proc. 11th ITC, Kyoto (1985).
24. LUTTON (J. L.), ROBERTS (J. W.). Traffic performance of multi-slot call routing strategies in an integrated services digital network. Proc. ISS'84, Florence (1984).
25. KATZSCHNER (L.), SCHELLER (R.). Probability of loss of data traffics with different bit rates hunting one common pCM-channel. Proc. 8th ITC, Melbourne (1976), pp. 525/1-8.
26. STASIAK (M.). Blocking probability in a limited-availability group carrying mixture of different multichannel traffic streams. Ann. Telecommunic. (1993), 48, no 1-2, pp. 71-76.
27. BININDA (N.), WENDT (W.). Die effektive Erreichbarkeit für Abnehmerbundel hinter Zwischenleitungsanungen. NTZ (1959), 11, no 12, pp. 579-585.
28. KHARKEVICH (A. D.). An approximate method for calculating the number of junctions in a crossbar system exchange. Elektrosvyaz (Feb. 1959), no 2. pp. 55-63.
29. LOTZE (A.). Bericht über verkehrtheoretische Untersuchungen CIRB. Inst, für Nachrichtenvermittlung und Datenverarbeitung der technischen Hochschule. Univ. of Stuttgart (1963), pp. 1-42.
30. PALM (C.). Nagra foljdsatser urde Erlang'ska formlerna. Tekn. Medd Kungl. Telegrafstyrdsen (1943), no 1-3.
31. BAZLEN (D.), KAMPE (G.), LOTZE (A.). On the influence of hunting mode and link wiring on the loss of link systems. Proc: 7th ITC, Stockholm (1973). paper 547/1-14.
32. LOTZE (A.), RODER (A.). THIERER (G.). PPL - a reliable method for the calculation of point-to-point loss in link systems. Proc. 8th ITC, Melbourne (1976), pp. 547/1-44.
33. LOTZE (A.), RODER (A.), THIERER (G.). Point-to-point loss in case of multiple marking attempts. Proc: 8th ITC, Melbourne (1976), supplement to paper 547/1-44.
34. JAJSZCZYK (A.), KLEBAN (J.), KUBASIK (J.). On congestion in switching networks composed of digital switching matrices. Proc. 12th ITC, Torino (1988), paper 5.4 A. 7.1.
35. ROTHMAIER (K.), SCHELLER (R.). On the traffic capacity of PCM switching arrays as function of internal traffic and path allocation modes. Proc. 10th ITC, Montreal (1983), paper 5.1.8.
36. ROTHMAIER (K.), SCHELLER (R.). Design of economic PCM arrays with a prescribed grade of service. IEEE Trans. COM (Aug. 1981), 29, no 7, pp. 925-935.
37. THIERER (G.). The calculations of the probability of loss in link systems with point-to-point selection. Institute of switching and data technics. Univ. of Stuttgart, 29th Report on studies in congestion theory (1980).
38. LOTZE (A.), RODER (A.), THIERER (G). PCM-charts. Institute of switching and data technics. Univ. of Stuttgart (1979).
39. ERSHOVA (E. B.), ERSHOV (V. A.). Digital systems for information distribution. Radio and Communications Pub., Moscow (1983), pp. 89-148 (in Russian).
40. BROCKMEYER (E.), HALSTROM (H.), JENSEN (A.). The life and works of A. K. Erlang. Acta Polytechnica Scandinavica (1960), no 287.
41. PEDERSEN (O. A.). An effective availability theory with application. IEEE Trans. COM (Aug. 1975), 23, no 8, pp. 798-803.
42. PEDERSEN (O. A.). Link system effective availabilities for point-to-point selection. Proc. 9th ITC, Torremolinos (1979).
43. STASIAK (M.). Blocage interne point à point dans les réseaux de connexion. Ann. Télécommunic. (1988), 43, nos 9-10, pp. 561-575.
44. LEE (C. Y.) Analysis of switching networks. Bell Syst. Techn. J. (Nov. 1955), 34, no 6. pp. 1287-1315.
45. LE GALL (P.). Etude du blocage dans les systèmes de commutation téléphonique automatique utilisant des commutateurs électroniques de type Crossbar. Ann. Télécommunic. (1956), 11, nos 7-8, pp. 159, no 9, pp. 180.
46. SYSKI (R.). Introduction to congestion theory in telephone systems. North Holland, Amsterdam (1986), pp. 286-289.