메뉴 건너뛰기




Volumn 67, Issue 3, 2010, Pages 174-197

Modeling product-form state-dependent systems with BPP traffic

Author keywords

Binomial Poisson Pascal (BPP) multirate traffic; Blocking probability; Multiservice systems; State dependent systems

Indexed keywords

ARRIVAL PROCESS; BPP TRAFFIC; COMPUTATIONAL PROCESS; CONVOLUTION ALGORITHM; FINITE NUMBER; INFINITE NUMBERS; KAUFMAN-ROBERTS FORMULA; LOSS PROBABILITY; MULTI-RATE TRAFFIC; MULTI-SERVICE SYSTEMS; MULTISERVICE TRAFFIC; PRODUCT-FORM; STATE-DEPENDENT; STATE-DEPENDENT SYSTEMS; TRAFFIC SOURCES;

EID: 73149105073     PISSN: 01665316     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.peva.2009.10.002     Document Type: Article
Times cited : (74)

References (44)
  • 1
    • 32144449124 scopus 로고    scopus 로고
    • An analytic approximation of the uplink capacity in a UMTS network with heterogeneous traffic
    • Berlin
    • D. Staehle, A. Mäder, An analytic approximation of the uplink capacity in a UMTS network with heterogeneous traffic. in: 18th Intl. Teletraffic Congress, ITC18, Berlin, 2003, pp. 81-91
    • (2003) 18th Intl. Teletraffic Congress, ITC18 , pp. 81-91
    • Staehle, D.1    Mäder, A.2
  • 4
    • 33845285897 scopus 로고    scopus 로고
    • M. Gła{ogonek}bowski, M. Stasiak, A. Wiśniewski, P. Zwierzykowski, Uplink blocking probability calculation for cellular systems with WCDMA radio interface, finite source population and differently loaded neighbouring cells. in: Proc. Asia-Pacific Conference on Communications, Perth, Australia, 2005, pp. 138-142. Best paper award
    • M. Gła{ogonek}bowski, M. Stasiak, A. Wiśniewski, P. Zwierzykowski, Uplink blocking probability calculation for cellular systems with WCDMA radio interface, finite source population and differently loaded neighbouring cells. in: Proc. Asia-Pacific Conference on Communications, Perth, Australia, 2005, pp. 138-142. Best paper award
  • 7
    • 73149124803 scopus 로고    scopus 로고
    • V.B. Iversen (Ed.) Teletraffic Engineering Handbook. ITU-D, Study Group 2, Question 16/2, Geneva, January 2005
    • V.B. Iversen (Ed.) Teletraffic Engineering Handbook. ITU-D, Study Group 2, Question 16/2, Geneva, January 2005
  • 8
    • 0003223158 scopus 로고    scopus 로고
    • Broadband Network Teletraffic
    • J.W. Roberts, V. Mocci, and I. Virtamo Eds, Commission of the European Communities, Springer, Berlin
    • J.W. Roberts, V. Mocci, and I. Virtamo (Eds.), Broadband Network Teletraffic, Final Report of Action COST 242. Commission of the European Communities, Springer, Berlin, 1996
    • (1996) Final Report of Action COST , vol.242
  • 10
    • 33751004529 scopus 로고    scopus 로고
    • Approximate state probabilities in large shared multi-rate loss systems with an application to trunk reservation
    • Gdańsk, Poland
    • W. Bziuk, Approximate state probabilities in large shared multi-rate loss systems with an application to trunk reservation, in: Proc. 2nd Polish-German Teletraffic Symposium, Gdańsk, Poland, 2002, pp. 145-152
    • (2002) Proc. 2nd Polish-German Teletraffic Symposium , pp. 145-152
    • Bziuk, W.1
  • 11
    • 0036604895 scopus 로고    scopus 로고
    • Connection-dependent threshold model: A generalization of the Erlang multiple rate loss model
    • Moscholios I.D., Logothetis M.D., and Kokkinakis G.K. Connection-dependent threshold model: A generalization of the Erlang multiple rate loss model. Journal of Performance Evaluation 48 1-4 (2002) 177-200
    • (2002) Journal of Performance Evaluation , vol.48 , Issue.1-4 , pp. 177-200
    • Moscholios, I.D.1    Logothetis, M.D.2    Kokkinakis, G.K.3
  • 12
    • 0002032266 scopus 로고
    • Blocking probability in a limited-availability group carrying mixture of different multichannel traffic streams
    • Stasiak M. Blocking probability in a limited-availability group carrying mixture of different multichannel traffic streams. Annales des Télécommunications 48 1-2 (1993) 71-76
    • (1993) Annales des Télécommunications , vol.48 , Issue.1-2 , pp. 71-76
    • Stasiak, M.1
  • 13
    • 35048866389 scopus 로고    scopus 로고
    • Multi-rate model of the group of separated transmission links of various capacities
    • Telecommunications and Networking - ICT 2004, Springer
    • Gła{ogonek}bowski M., and Stasiak M. Multi-rate model of the group of separated transmission links of various capacities. Telecommunications and Networking - ICT 2004. Lecture Notes in Comput. Sci. vol. 3124 (2004), Springer 1101-1106
    • (2004) Lecture Notes in Comput. Sci. , vol.3124 , pp. 1101-1106
    • Głabowski, M.1    Stasiak, M.2
  • 14
    • 0033689999 scopus 로고    scopus 로고
    • A simple approximation of the link model with reservation by a one-dimensional Markov chain
    • Stasiak M., and Gła{ogonek}bowski M. A simple approximation of the link model with reservation by a one-dimensional Markov chain. Journal of Performance Evaluation 41 2-3 (2000) 195-208
    • (2000) Journal of Performance Evaluation , vol.41 , Issue.2-3 , pp. 195-208
    • Stasiak, M.1    Głabowski, M.2
  • 15
    • 0017947694 scopus 로고
    • A multi-user-class, blocked-calls-cleared, demand access model
    • Aein J.M. A multi-user-class, blocked-calls-cleared, demand access model. IEEE Transactions on Communications 26 3 (1978) 378-385
    • (1978) IEEE Transactions on Communications , vol.26 , Issue.3 , pp. 378-385
    • Aein, J.M.1
  • 16
    • 0000747986 scopus 로고
    • Asymptotic solution of generalized multiclass Engset model
    • Antibes Juan-les-Pins, France
    • Y. Kogan, M. Shenfild, Asymptotic solution of generalized multiclass Engset model, in: Proc. 14th Intl. Teletraffic Congress, Antibes Juan-les-Pins, France, 1994, volume 1b, pp. 1239-1249
    • (1994) Proc. 14th Intl. Teletraffic Congress , vol.1 b , pp. 1239-1249
    • Kogan, Y.1    Shenfild, M.2
  • 17
    • 0029386684 scopus 로고
    • An inversion algorithm to compute blocking probabilities in loss networks with state-dependent rates
    • Choudhury G.L., Leung K.K., and Whitt W. An inversion algorithm to compute blocking probabilities in loss networks with state-dependent rates. IEEE/ACM Transactions on Networking 3 5 (1995) 585-601
    • (1995) IEEE/ACM Transactions on Networking , vol.3 , Issue.5 , pp. 585-601
    • Choudhury, G.L.1    Leung, K.K.2    Whitt, W.3
  • 18
    • 0035254272 scopus 로고    scopus 로고
    • An efficient stable recursion to compute multiservice blocking probabilities
    • Berezner S.A., and Krzesinski A.E. An efficient stable recursion to compute multiservice blocking probabilities. Journal of Performance Evaluation 43 2-3 (2001) 151-164
    • (2001) Journal of Performance Evaluation , vol.43 , Issue.2-3 , pp. 151-164
    • Berezner, S.A.1    Krzesinski, A.E.2
  • 19
    • 10444251297 scopus 로고
    • Admission-control technics with application to broadband networks
    • Stamatelos G.M., and Hayes J.F. Admission-control technics with application to broadband networks. Computer Communications 17 9 (1994) 663-673
    • (1994) Computer Communications , vol.17 , Issue.9 , pp. 663-673
    • Stamatelos, G.M.1    Hayes, J.F.2
  • 20
    • 0030107774 scopus 로고    scopus 로고
    • Exact computation of time and call blocking probabilities in large, multi-traffic, multi-resource loss systems
    • Awater G.A., and van de Vlag H.A.B. Exact computation of time and call blocking probabilities in large, multi-traffic, multi-resource loss systems. Journal of Performance Evaluation 25 1 (1996) 41-58
    • (1996) Journal of Performance Evaluation , vol.25 , Issue.1 , pp. 41-58
    • Awater, G.A.1    van de Vlag, H.A.B.2
  • 21
    • 0023591521 scopus 로고
    • The exact evaluation of multi-service loss systems with access control
    • Lund, August
    • V.B. Iversen, The exact evaluation of multi-service loss systems with access control. in: Seventh Nordic Teletraffic Seminar, NTS-7, Lund, August 1987, pp. 56-61
    • (1987) Seventh Nordic Teletraffic Seminar, NTS-7 , pp. 56-61
    • Iversen, V.B.1
  • 22
    • 84859284940 scopus 로고    scopus 로고
    • M. Gła{ogonek}bowski, A. Kaliszan, M. Stasiak, Blocking probability calculation in a FAG with bandwidth reservation. in: Proc. Advanced Intl. Conference on Telecommunications, Guadeloupe, 2006
    • M. Gła{ogonek}bowski, A. Kaliszan, M. Stasiak, Blocking probability calculation in a FAG with bandwidth reservation. in: Proc. Advanced Intl. Conference on Telecommunications, Guadeloupe, 2006
  • 23
    • 44949260894 scopus 로고    scopus 로고
    • M. Gła{ogonek}bowski, A. Kaliszan, M. Stasiak, Asymmetric convolution algorithm for full-availability group with bandwidth reservation. in: Proc. Asia-Pacific Conference on Communications, Busan, 2006
    • M. Gła{ogonek}bowski, A. Kaliszan, M. Stasiak, Asymmetric convolution algorithm for full-availability group with bandwidth reservation. in: Proc. Asia-Pacific Conference on Communications, Busan, 2006
  • 24
    • 73149092160 scopus 로고    scopus 로고
    • M. Gła{ogonek}bowski, A. Kaliszan, M. Stasiak, A new convolution algorithm of blocking probability calculation in full-availability group with bandwidth reservation. in: Proc. Fifth Intl. Symposium on Comm. Systems, Networks and Digital Signal Processing, Patras, 2006, pp. 50-54
    • M. Gła{ogonek}bowski, A. Kaliszan, M. Stasiak, A new convolution algorithm of blocking probability calculation in full-availability group with bandwidth reservation. in: Proc. Fifth Intl. Symposium on Comm. Systems, Networks and Digital Signal Processing, Patras, 2006, pp. 50-54
  • 25
    • 38149017822 scopus 로고    scopus 로고
    • M. Gła{ogonek}bowski, A. Kaliszan, M. Stasiak, On the application of the asymmetric convolution algorithm in modeling of full-availability group with bandwidth reservation, in: Managing Traffic Performance in Converged Networks, 20th Intl. Teletraffic Congress, ITC20, in: Lecture Notes in Comput. Sci., 4516, Ottawa, 2007, pp. 878-889
    • M. Gła{ogonek}bowski, A. Kaliszan, M. Stasiak, On the application of the asymmetric convolution algorithm in modeling of full-availability group with bandwidth reservation, in: Managing Traffic Performance in Converged Networks, 20th Intl. Teletraffic Congress, ITC20, in: Lecture Notes in Comput. Sci., vol. 4516, Ottawa, 2007, pp. 878-889
  • 26
    • 0008787224 scopus 로고
    • Multichannel services performance of switching networks
    • Elsevier, Torino, Italy
    • Beshai M.E., and Manfield D.R. Multichannel services performance of switching networks. Proc. 12th Intl. Teletraffic Congress (1988), Elsevier, Torino, Italy 857-864
    • (1988) Proc. 12th Intl. Teletraffic Congress , pp. 857-864
    • Beshai, M.E.1    Manfield, D.R.2
  • 27
    • 0027612256 scopus 로고
    • An approximate model of a switching network carrying mixture of different multichannel traffic streams
    • Stasiak M. An approximate model of a switching network carrying mixture of different multichannel traffic streams. IEEE Transactions on Communications 41 6 (1993) 836-840
    • (1993) IEEE Transactions on Communications , vol.41 , Issue.6 , pp. 836-840
    • Stasiak, M.1
  • 28
    • 0020848276 scopus 로고
    • On the steady-state distribution in a service facility carrying mixtures of traffic with different peakedness factors and capacity requirements
    • 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 Transactions on Communications 31 11 (1983) 1209-1211
    • (1983) IEEE Transactions on Communications , vol.31 , Issue.11 , pp. 1209-1211
    • Delbrouck, L.E.N.1
  • 29
    • 38249012481 scopus 로고
    • Blocking with retrials in a completely shared resource environment
    • Kaufman J.S. Blocking with retrials in a completely shared resource environment. Journal of Performance Evaluation 15 (1992) 99-113
    • (1992) Journal of Performance Evaluation , vol.15 , pp. 99-113
    • Kaufman, J.S.1
  • 30
    • 0019623096 scopus 로고
    • Blocking in a shared resource environment
    • Kaufman J.S. Blocking in a shared resource environment. IEEE Transactions on Communications 29 10 (1981) 1474-1481
    • (1981) IEEE Transactions on Communications , vol.29 , Issue.10 , pp. 1474-1481
    • Kaufman, J.S.1
  • 31
    • 0002688281 scopus 로고
    • A service system with heterogeneous user requirements - application to multi-service telecommunications systems
    • Amsterdam
    • J.W. Roberts, A service system with heterogeneous user requirements - application to multi-service telecommunications systems. in: Proc. Performance of Data Communications Systems and their Applications, Amsterdam, 1981, pp. 423-431
    • (1981) Proc. Performance of Data Communications Systems and their Applications , pp. 423-431
    • Roberts, J.W.1
  • 32
    • 0021003962 scopus 로고    scopus 로고
    • J.W. Roberts, Teletraffic models for the Telcom 1 integrated services network. in: Proc. 10th Intl. Teletraffic Congress, Montreal, Canada, 1983, p. 1.1.2
    • J.W. Roberts, Teletraffic models for the Telcom 1 integrated services network. in: Proc. 10th Intl. Teletraffic Congress, Montreal, Canada, 1983, p. 1.1.2
  • 33
    • 73149091711 scopus 로고    scopus 로고
    • M. Gła{ogonek}bowski, M. Stasiak, An approximate model of the full-availability group with multi-rate traffic and a finite source population. in: Proc. 3rd Polish-German Teletraffic Symposium, 2004, pp. 195-204
    • M. Gła{ogonek}bowski, M. Stasiak, An approximate model of the full-availability group with multi-rate traffic and a finite source population. in: Proc. 3rd Polish-German Teletraffic Symposium, 2004, pp. 195-204
  • 34
    • 18844416847 scopus 로고    scopus 로고
    • M. Gła{ogonek}bowski, M. Stasiak, Multi-rate model of the limited-availability group with finite source population. in: Proc. 10th Asia-Pacific Conference on Communications, Beijing, 2004, 1, pp. 366-370
    • M. Gła{ogonek}bowski, M. Stasiak, Multi-rate model of the limited-availability group with finite source population. in: Proc. 10th Asia-Pacific Conference on Communications, Beijing, 2004, vol. 1, pp. 366-370
  • 35
    • 49049095035 scopus 로고    scopus 로고
    • Modelling of state-dependent multi-rate systems carrying BPP traffic
    • Gła{ogonek}bowski M. Modelling of state-dependent multi-rate systems carrying BPP traffic. Annales des Télécommunications 63 7-8 (2008) 393-407
    • (2008) Annales des Télécommunications , vol.63 , Issue.7-8 , pp. 393-407
    • Głabowski, M.1
  • 36
    • 0027725942 scopus 로고    scopus 로고
    • P. Tran-Gia, F. Hubner, An analysis of trunk reservation and grade of service balancing mechanisms in multiservice broadband networks. in: IFIP Workshop TC6, Modelling and Performance Evaluation of ATM Technology, La Martinique, 1993
    • P. Tran-Gia, F. Hubner, An analysis of trunk reservation and grade of service balancing mechanisms in multiservice broadband networks. in: IFIP Workshop TC6, volume Modelling and Performance Evaluation of ATM Technology, La Martinique, 1993
  • 37
    • 46749148482 scopus 로고    scopus 로고
    • M. Gła{ogonek}bowski, Continuous threshold model for multi-service wireless systems with PCT1 and PCT2 traffic. in: Proc. 7th Intl. Symposium on Comm. and Information Technologies, Sydney, 2007, pp. 427-432
    • M. Gła{ogonek}bowski, Continuous threshold model for multi-service wireless systems with PCT1 and PCT2 traffic. in: Proc. 7th Intl. Symposium on Comm. and Information Technologies, Sydney, 2007, pp. 427-432
  • 38
    • 0000446375 scopus 로고    scopus 로고
    • Combinatorial considerations for switching systems carrying multi-channel traffic streams
    • Stasiak M. Combinatorial considerations for switching systems carrying multi-channel traffic streams. Annales des Télécommunications 51 11-12 (1996) 611-625
    • (1996) Annales des Télécommunications , vol.51 , Issue.11-12 , pp. 611-625
    • Stasiak, M.1
  • 39
    • 0036660062 scopus 로고    scopus 로고
    • Point-to-point blocking probability in switching networks with reservation
    • Gła{ogonek}bowski M., and Stasiak M. Point-to-point blocking probability in switching networks with reservation. Annales des Télécommunications 57 7-8 (2002) 798-831
    • (2002) Annales des Télécommunications , vol.57 , Issue.7-8 , pp. 798-831
    • Głabowski, M.1    Stasiak, M.2
  • 41
    • 0010817099 scopus 로고    scopus 로고
    • Equalisation of blocking probability in switching systems with limited availability
    • Kluwer, Boston
    • Stasiak M., Gła{ogonek}bowski M., and Zwierzykowski P. Equalisation of blocking probability in switching systems with limited availability. Performance Analysis of ATM Networks (2000), Kluwer, Boston 358-376
    • (2000) Performance Analysis of ATM Networks , pp. 358-376
    • Stasiak, M.1    Głabowski, M.2    Zwierzykowski, P.3
  • 42
    • 73149099982 scopus 로고    scopus 로고
    • M. Gła{ogonek}bowski, M. Sobieraj, M. Stasiak, Evaluation of QoS deterioration in threshold systems. in: Proc. 5th Polish-German Teletraffic Symposium, Berlin, 2008, pp. 19-28
    • M. Gła{ogonek}bowski, M. Sobieraj, M. Stasiak, Evaluation of QoS deterioration in threshold systems. in: Proc. 5th Polish-German Teletraffic Symposium, Berlin, 2008, pp. 19-28
  • 43
    • 0026976824 scopus 로고    scopus 로고
    • J.S. Kaufman, Blocking in a completely shared resource environment with state dependent resource and residency requirements. in: IEEE INFOCOM '92, 3, Los Alamitos, 1992, pp. 2224-2232
    • J.S. Kaufman, Blocking in a completely shared resource environment with state dependent resource and residency requirements. in: IEEE INFOCOM '92, vol. 3, Los Alamitos, 1992, pp. 2224-2232
  • 44
    • 15744391524 scopus 로고    scopus 로고
    • Call-burst blocking of on-off traffic sources with retrials under the complete sharing policy
    • Moscholios I.D., Logothetis M.D., and Kokkinakis G.K. Call-burst blocking of on-off traffic sources with retrials under the complete sharing policy. Journal of Performance Evaluation 59 (2005) 279-312
    • (2005) Journal of Performance Evaluation , vol.59 , pp. 279-312
    • Moscholios, I.D.1    Logothetis, M.D.2    Kokkinakis, G.K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.