Connection-dependent threshold model: a generalization of the Erlang multiple rate loss model

Moscholios, Ioannis D.; Logothetis, Michael D.; Kokkinakis, G.

doi:10.1016/s0166-5316(02)00037-8

Cited by 83 publications

(47 citation statements)

References 15 publications

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“…For analysis of switching systems with multiservice traffic (Broadband Integrated Services Digital Networks, Universal Mobile Telecommunications System), mainly multirate models are used [3,14,15,19,22,23]. In these models, the system services call demands hav-M. Głąbowski ing an integer number of the so-called basic bandwidth units (BBUs).…”

Section: Introductionmentioning

confidence: 99%

Modelling of state-dependent multirate systems carrying BPP traffic

Głąbowski

2008

Ann. Telecommun.

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This paper presents a simple approximate calculation methodology of the occupancy distribution and the blocking probability in state-dependent systems with multirate Binomial-Poisson-Pascal traffic. The particular traffic streams are generated by an infinite, as well as by a finite, population of traffic sources. The proposed methodology is based on the generalized Kaufman-Roberts recursion. The model enables calculations to be carried out for the systems in which accepting a new call depends on an admission control algorithm (e.g., a model of a full-availability group with bandwidth reservation) as well as for those systems in which accepting a new call depends on the structure of a system (e.g., a model of a limited-availability group). The results of the analytical calculations have been compared with the simulation results of exemplary state-dependent systems.

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Section: Introductionmentioning

confidence: 99%

Modelling of state-dependent multirate systems carrying BPP traffic

Głąbowski

2008

Ann. Telecommun.

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“…For the analysis of switching systems with integrated traffic, multi-rate models are mainly used [8,9,[12][13][14]. In these models the system services call demands having an integer number of the so-called Basic Bandwidth Units (BBUs).…”

Section: Introductionmentioning

confidence: 99%

Modelling of virtual‐circuit switching nodes with multicast connections

Głąbowski

Stasiak

Zwierzykowski

2007

Trans Emerging Tel Tech

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SUMMARYThis paper presents an approximate calculation methodology of the occupancy distribution and the blocking probability in a virtual circuit switching node with multi-rate unicast and multicast traffic streams. Particular traffic streams are generated by an infinite as well as by a finite population of traffic sources. The model enables calculations of any structure of the groups forming the outgoing directions of the node. Additionally, bandwidth reservation algorithms are also proposed in order to improve traffic characteristics of different traffic classes. The results of the analytical calculations have been compared with the simulation results of a switching node carrying multicast and unicast traffic streams.

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“…If the required bandwidth is available, calls are accepted and remain in the system for an arbitrarily distributed servicetime [1]; if not, calls are blocked and lost. The fact, that the EMLM is described by an efficient recursive formula ( [1], [2]), not only simplifies the determination of Call Blocking Probability (CBP), but also serves as the basis in the analysis of other Ioss models [3]- [5].…”

Section: Introductionmentioning

confidence: 99%

“…In [4], Single and Multi Threshold Models are proposed, in which the bandwidth requirement of a new call may depend on one or more thresholds, which indicate the occupied link bandwidth, }. In [5] the retry and threshold models, as weil as the EMLM, are generalized to the Connection Dependent Threshold Model (CDTM); a threshold model, in which the state dependency is individualized among service-classes. In [6] the EMLM is extended to the Engset Multirate Loss Model (EnMLM) where the offered traffic of each service-class k, comes from a finite number of Nk sources.…”

Section: Introductionmentioning

confidence: 99%

The Connection Dependent Threshold Model for Finite Sources – A Generalization of the Engset Multirate Loss Model

Moscholios

Logothetis

2004

Lecture Notes in Computer Science

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Abstract. Call Blocking Probabilities (CBP) are the key index of the call-level QoS in multirate networks supporting either CBR or elastic traffic. We review the Engset Multirate Loss Model, in a single link, for CBR traffic, and for elastic traffic we propose the Connection Dependent Threshold Model with finite sources (f-CDTM). In f-CDTM, calls may adjust their traffic and bandwidth requirements according to sets of thresholds. Furthermore, we present the f-CDTM for a mixture of service-classes of finite and infinite sources. The proposed models don't have a product form solution; therefore the CBP calculation is based on approximate but recursive formulas used for the link occupancy distribution determination. The latter is complex since it requires enumeration and processing of the system state space. Simulation results validate our analysis.

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Connection-dependent threshold model: a generalization of the Erlang multiple rate loss model

Cited by 83 publications

References 15 publications

Modelling of state-dependent multirate systems carrying BPP traffic

Modelling of state-dependent multirate systems carrying BPP traffic

Modelling of virtual‐circuit switching nodes with multicast connections

The Connection Dependent Threshold Model for Finite Sources – A Generalization of the Engset Multirate Loss Model

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