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etwork   Blocking  P robability By – Dhawal G. Sharma
Outline ,[object Object],[object Object],[object Object],[object Object],[object Object]
a brief history of communication…
Pigeon Delivery
Voice Messaging
Primitive Telephone
Dialer Telephone
Type-500 Telephone
DTMF Telephone
Cordless Telephone
Wireless Telephony
Voice Devices
Enhancements
Desktop PCs
Multimedia Cellular Phones
Laptops
Satellite Telephony
Touch  Telephony
elephone  T Network
Hierarchy
The Focus
Centralised N/W
De-centralised N/W
Advantage of Decentralised N/W
Multi-stage N/W
Possible paths for 1 set
The Flow
Blocking Probability
Lee’s Blocking Probability ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Terminologies and Equations p = probability that the link is busy(Occupancy, loading or utilization percentage) q = probability that the link is idle = (1-p) n  = no of parallel links used to complete a connection. Probability that all links are busy = (p)^n.     = 1 - (q)^n
Consider a 3 stage n/w k = no of different paths p’ = probability that any particular inter-mediate link is busy q’ = probability that any particular inter-mediate link is idle Probability of blocking –  B = (probability that all paths are busy) = (probability that an arbitrary link is busy)^k = (probability that atleast one link is busy)^k = (1 - (q’)^2)^k p’ = p/ β Β  = k/n 3 stage n/w
1 2 k p p p’ p’ p’ p’ 3 stage n/w
 
 
2 1 3 (1 – q 2 q 3 ) B = p 1 (1 – q 2 q 3 ) p 2 p 3 p 1 End to End Blocking Probability
References ,[object Object],[object Object],[object Object]
Designed & Presented by : Dhawal G. Sharma
dhawal University  Topper Electronics  Technocrat Numismatist Google  Sketch-Up Master Graphix  Enhancement Designer 3D  Modeling Sound  Designer 3DS  MAX Designer RIA  Designer Facebook  www.facebook.com/dhawalgsharma Email  [email_address]

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Network blocking probability dhawal g sharma