Question

2 copies of a code module are to be executed in parallel on identical processors organized into two communicating clusters A and B. Cluster A contains 8 processors and cluster B contains 4 processors. How many sets of processors can be used if cluster A has 2 failed processors and cluster B has 4 failed processors? __________

Answer 1

Answer: Number of sets of processors can be used is given by

A = {A1,A2,A3,A4,A5,A6} and B = Ф

Explanation:

Since we have given that

Number of processors in cluster A = 8

A = {A1,A2,A3,A4,A5,A6,A7,A8}

Number of processors in cluster B = 4

B= {B1,B2,B3,B4}

Number of processors failed in cluster A = 2

Set A becomes

A = {A1,A2,A3,A4,A5,A6}

Number of processors failed in cluster B = 4

B = Ф

Hence, number of sets of processors can be used is given by

A = {A1,A2,A3,A4,A5,A6} and B = Ф