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Network Dimensioning Esteeming QoS Parameters Independences

. . Contents. Introduction ModelsConceptual modelAnalytical modelNetwork dimensioningMethodsAnalyticalNumericalResults Conclusions. Formulation of the problem .

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Network Dimensioning Esteeming QoS Parameters Independences

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    1. Network Dimensioning Esteeming QoS Parameters� Independences Emiliya Saranova *#

    2. Contents Introduction Models Conceptual model Analytical model Network dimensioning Methods Analytical Numerical Results Conclusions

    3. Formulation of the problem �The purpose of the teletraffic theory is to find relations between QoS and cost of equipment�1 ITU-T Recommendation E.600, 4.2 ITU-T Recommendation E.800, 1.1

    4. Aim of the study: Dimensioning of a network (determining of a number of equivalent switching lines), when desire level of QoS is administratively determined in advance and the values of known parameters are measured and/or calculated. Condition: The values of human behaviour parameters are known.

    5. Investigated system Telecommunication network with (virtual) channel circuit switching (like PSTN and GSM). Based on it an analytical macro-state model of the system in stationary state, with: BPP (Bernoulli�Poisson�Pascal) input flow; repeated calls; limited number of homogeneous terminals; losses due to abandoned and interrupted dialing, blocked and interrupted switching, not available intent terminal, blocked and abandoned ringing and abandoned conversation is build.

    6. Conceptual model

    7. Analytical model

    8. Analytical model

    9. Erlang�s function1 Offered traffic2 ?????????????????? ??????? ? ????????? ?? ?????? (???? PSTN, GSM) ? ??????????? ?????????, ? ??????? (BPP) ?????? ?????, ???????? ??????????, ????????? ???? ????????? ?????????, ?????? ?? ?????????? ? ?????????? ????????, ????????? ? ?????????? ?????????, ?????????? ????????, ????????? ? ?????????? ??????? ? ????????. ?????????????????? ??????? ? ????????? ?? ?????? (???? PSTN, GSM) ? ??????????? ?????????, ? ??????? (BPP) ?????? ?????, ???????? ??????????, ????????? ???? ????????? ?????????, ?????? ?? ?????????? ? ?????????? ????????, ????????? ? ?????????? ?????????, ?????????? ????????, ????????? ? ?????????? ??????? ? ????????. ?????????????????? ??????? ? ????????? ?? ?????? (???? PSTN, GSM) ? ??????????? ?????????, ? ??????? (BPP) ?????? ?????, ???????? ??????????, ????????? ???? ????????? ?????????, ?????? ?? ?????????? ? ?????????? ????????, ????????? ? ?????????? ?????????, ?????????? ????????, ????????? ? ?????????? ??????? ? ????????. ?????????????????? ??????? ? ????????? ?? ?????? (???? PSTN, GSM) ? ??????????? ?????????, ? ??????? (BPP) ?????? ?????, ???????? ??????????, ????????? ???? ????????? ?????????, ?????? ?? ?????????? ? ?????????? ????????, ????????? ? ?????????? ?????????, ?????????? ????????, ????????? ? ?????????? ??????? ? ????????.

    10. Formulation of a network dimensioning task (NDT) Parameters in the network dimensioning task: Administratively determined parameters: adm.Pbl and M Known values of the parameters: Nab, Tb, S1, S2, S3, S1Z, S2Z, R1, R2 and R3 Aim: To determine Number of necessary switching lines Ns; Unknown parameters: Yab, ofr.Fs, Ts, ofr.Ys, Fa, dem.Fa, rep.Fa Conditions: Pbl ( Pbr, Pbs ) = adm.Pbl

    12. Blocking probability as GoS- parameter Definition: Pad, Pid, Pbs,Pis, Pns, Pbr, Par,Pac and Pcc are probabilities of stages in the conceptual model

    13. QoS- parameter:

    14. Offered traffic and blocking probability Pbl

    15. Number of equivalent switching lines and blocking probability Pbl

    17. Results The network dimensioning task (NDT) is formulated on the base of preassigned values of QoS and corresponding GoS parameters adm.Pbl and Pbl. This make easily the work in SLA; The conditions for existence and uniqueness of a solution of the NDT are researched in previous my presentation and now an analytical solution for the NDT is found; A computer program for a calculation the values of the unknown parameters and the number of equivalent internal switching lines Ns, is proposed; The received results, in NDT, make the network dimensioning, based on QoS requirements easily;

    18. Conclusions

    19. Conclusions The described approach is applicable directly for every (virtual) circuit switching telecommunication system (like GSM and PSTN) and may help for ISDN, BISDN and most of core and access networks traffic modelling. For packet switching systems, like Internet, proposed approach may be used as a comparison basis.

    20. THANK YOU

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