Consider the following concurrent program [TOWS 1978] with a cyclic

Chapter 8, Problem 1

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Consider the following concurrent program [TOWS 1978] with a cyclic struc-ture:repeatTCPU1;if B then TIO1,elsecobeginTCPU2; TIO2coendforever.Assume that successive tests on condition B form a sequence of Bernoulli tri-als with probability of failure q. The execution times of the statement groups(or tasks) TCPU1 and TCPU2 are EXP (1) and EXP (2) random variables,respectively, while the execution times of TIO1 and TIO2 are both EXP ()random variables. Draw the CTMC state diagram of this system and solve forthe steady-state probabilities. Assuming that TCPU1 and TCPU2 are executedon a single CPU and that TIO1 and TIO2 are executed on a single I/O proces-sor, compute steady-state utilizations of the two processors. Use 1/1 = 8 ms,1/2 = 26.6 ms, 1/ = 46.1 ms, and vary q from 0 to 1.

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