Draw the state transition diagram for this multi-processor system.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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r) 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 (- p) to processor C for further processing. However, a job at processor B
is always redirected back to process A after completion of its processing, whereas at
processor C a job is redirected back to processor Bq fraction of the time and ( - g) fraction
of the time it stays in processor C.
(i)
(ii)
Draw the state transition diagram for this multi-processor system.
Find the probability that a job X is in processor B after Y routings assuming that the job X
was initially with processor A.
(iii)
(iv)
Find the steady-state probabilities.
Find value of p and q for which the steady state probabilities are all equal.
Transcribed Image Text:r) 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 (- p) to processor C for further processing. However, a job at processor B is always redirected back to process A after completion of its processing, whereas at processor C a job is redirected back to processor Bq fraction of the time and ( - g) fraction of the time it stays in processor C. (i) (ii) Draw the state transition diagram for this multi-processor system. Find the probability that a job X is in processor B after Y routings assuming that the job X was initially with processor A. (iii) (iv) Find the steady-state probabilities. Find value of p and q for which the steady state probabilities are all equal.
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