8. A crossbar exchange is required to set up 5000 calls in the busy hour. The marker holding times may be assumed to be exponentially distributed, with an average holding time of 0.5 second. (a) Find the number of markers required, if the probability of a register having to wait for a marker is to be less than 0.2. (b) What will happen if a local crisis causes 25 000 calls to originate in the busy hour?

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter10: System Protection
Section: Chapter Questions
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8. A crossbar exchange is required to set up
5000 calls in the busy hour. The marker
holding times may be assumed to be
exponentially distributed, with an average
holding time of 0.5 second.
(a) Find the number of markers required, if the
probability of a register having to wait for a
marker is to be less than 0.2.
(b) What will happen if a local crisis causes
25 000 calls to originate in the busy hour?
Transcribed Image Text:8. A crossbar exchange is required to set up 5000 calls in the busy hour. The marker holding times may be assumed to be exponentially distributed, with an average holding time of 0.5 second. (a) Find the number of markers required, if the probability of a register having to wait for a marker is to be less than 0.2. (b) What will happen if a local crisis causes 25 000 calls to originate in the busy hour?
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