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A partially-blocking queueing system with CBR/VBR and ABR/UBR arrival streams
2002 (English)In: Telecommunications Systems, ISSN 1018-4864, E-ISSN 1572-9451, Vol. 19, no 1, p. 75-99Article in journal (Refereed) Published
Abstract [en]

In this paper we consider an ATM transmission link., to which CBR or VBR and ABR or UBR calls arrive according to independent Poisson processes. CBR/VBR calls (characterized by their equivalent bandwidth) are blocked and leave the system if the available link capacity is less than required at the time of arrival. ABR/UBR calls, however, accept partial blocking, meaning that they may enter service even if the available capacity is less than the specified required peak bandwidth, but greater than the so called minimal accepted bandwidth. Partially blocked ABR/UBR calls instead experience longer service time, since smaller given bandwidth entails proportionally longer time spent in the system, as first suggested in [3] and analyzed in details herein. Throughout the life time of an ABR/UBR connection, its bandwidth consumption fluctuates in accordance with the current load on the link but always at the highest possible value up to their peak bandwidth (greedy sources). Additionally, if this minimal accepted bandwidth is unavailable at the time of arrival, ABR/UBR calls are allowed to wait in a finite queue. This system is modeled by a Continuous Time Markov Chain (CTMC) and the CBR/VBR and ABR/UBR blocking probabilities and the mean ABR/UBR waiting- and service times are derived.

Place, publisher, year, edition, pages
Baltzer Academic Publisher , 2002. Vol. 19, no 1, p. 75-99
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-203016DOI: 10.1023/A:1012242313914ISI: 000173658100003OAI: oai:DiVA.org:kth-203016DiVA, id: diva2:1082169
Conference
AKIMARU H, 1988, IEEE T COMMUN, V36, P850 ANICK D, 1982, BELL SYST TECH J, V61, P1871 BLAABJERG S, 1996, P IEEE INT C COMM SY, V2 BOBBIO A, 1990, STOCHASTIC MODELS, V6, P133 CHOUDHURY G, 1995, AT T TECHNICAL J JUL, P50 CINLAR E, 1975, INTRO STOCHASTIC PRO FARAGO A, 1995, IEEE J SELECTED AREA, V13 FODOR G, 1998, IEEE INT C COMM ICC, V3, P1696 FODOR G, 1998, IEICE T COMMUN EB, V81, P985 FODOR G, 1998, WIRELESS PERS COMMUN, V8, P233 FODOR JC, 1997, INT J UNCERTAIN FUZZ, V5, P411 GIMPELSON LA, 1965, IEEE T COMMUNICA SEP, P258 GRASSMANN WK, 1985, OPER RES, V33, P1107 GUERIN R, 1988, IEEE T COMMUN, V36, P153 GUERIN R, 1991, IEEE J SEL AREA COMM, V9, P968 HEYMAN DP, 1987, SIAM J ALGEBRA DISCR, V8, P226 KAUFMAN JS, 1992, IEEE INFOCOM KIM DK, 1995, TELECOMMUN SYST, V4, P97 KIN DK, 1995, TELECOMMUN SYST, V4, P97 MITRA D, 1996, IEEE ACM T NETWORK, V4, P531 NEUTS MF, 1989, PROBABILITY PURE APP, V5 NIU Z, 1991, INT TEL C ITC, V13, P515 OCINNEIDE CA, 1993, NUMER MATH, V65, P109 ROBERTS JW, 1991, PERFORMANCE EVALUATI ROBERTS JW, 1996, METHODS PERFORMANCE ROSS KW, 1995, MULTISERVICE LOSS MO SERRES YD, 1988, IEEE T COMMUN, V36, P675 SMITH A, 1995, COMPUTER NETWORKS IS, V28, P635
Note

UT: 000173658100003; ScopusID: 0141462500. QCR 20170322

Available from: 2017-03-15 Created: 2017-03-15 Last updated: 2022-06-27Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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Output format
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