# Telecom Networks and Switching: Switch Architecture. Multiplexed PCM Streams. Multiplexed PCM Streams (contd.) Time Switching. Size of Time Switch

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3 o-blockig 3-Stage Switch umber of Cross-Poits idle - Busy - Busy idle c = (-) + (-) / Optimum choice of for large = * c 4( ) istead of! available path Example : for = 8000 reductio by 6 times k = - Dr Bhaskar TS/Set 3 Dr Bhaskar TS/Set 4 Blockig Switches Pros ad Cos of Blockig Switches k << - for 8K switch, objective : blockig probability should be low, ie, compared to probability that called party is usig the phoe, this should be egligible Sigle-stage o-blockig /6 3-stage o-blockig /9 3-stage blockig (0% util, % blockig) if lie utilisatio is, say, 0%, blockig prob ca be % for 8K switch, k is reduced 8 times compared to - c reduces by a further factor of 9 compared to o-blockig desig however, if lik utilisatio icreases, blockig prob goes up may times over eg, Util% 6% blockig prob % 6%! Dr Bhaskar TS/Set 5 Dr Bhaskar TS/Set 6 Time-Space-Time Switch k = i 3 - stage switch Large Essetially o - Blockig Switches sice TST switch is equivalet to 3 - stage switch with k = blockig switch I L E T S SPACE O U T L E T S However, blockig probability very, very small for k = (~0-6!) eve if utilizatio doubles or triples, blockig probability may go up00 times, still performace is good large exchages cosist of TS modules itercoected i a scalable fashio to a space switch Space Switch chages coectios i every slot equivalet to k (=) space switches Dr Bhaskar TS/Set 7 Dr Bhaskar TS/Set 8

6 Lee Graph Approximatio for 3-Stage Switch (cotd) Lee approximatio uder-estimates P B for k <, but over-estimates P B for k > (for k = -, it gives P B > 0!) useful as a guide to arrowig desig choices for blockig switches fially, computer simulatio will give more accurate picture Optimise ad k to miimise c while meetig requiremet o P B eg p = 0, = 89 = 3, k = 0 gives miimum c ~ 500,000 = 64 (= / ), k = 7 (= - ) is o-blockig c ~ 4 millio Dr Bhaskar TS/Set 3

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