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Draw the state transition diagram

Draw the state transition diagram

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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2. By considering a distributed system that consists of three processors (A, B and C), a job which has been processed in processor A has a probability p of being redirected to processor B and probability (1- p) to processor C for further processing. However, a job at processor B is always redirected back to process A after completion of its pro- cessing, whereas at processor C a job is redirected back to proces- sor B q fraction of the time and (1 - q) fraction of the time it stays in processor C. (i) Draw the state transition diagram for this multi-processor system. (ii) Find the probability that a job X is assuming that the job X was initially with processor A. (ii) Find the steady-state probabilities. (iv) Find value of p and q for which the steady state probabilities are all equal. processor B after 2 routings
Transcribed Image Text:2. By considering a distributed system that consists of three processors (A, B and C), a job which has been processed in processor A has a probability p of being redirected to processor B and probability (1- p) to processor C for further processing. However, a job at processor B is always redirected back to process A after completion of its pro- cessing, whereas at processor C a job is redirected back to proces- sor B q fraction of the time and (1 - q) fraction of the time it stays in processor C. (i) Draw the state transition diagram for this multi-processor system. (ii) Find the probability that a job X is assuming that the job X was initially with processor A. (ii) Find the steady-state probabilities. (iv) Find value of p and q for which the steady state probabilities are all equal. processor B after 2 routings
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