A certain system contains three branches in parallel. One branch contains units A and B in series. A second branch contains units C and D in series. The third branch contains unit E alone. These non-identical units have constant hazard rates in order of their unit number of 0.1/year, 0.15/year, 0.2/year, 0.15/year, and 0.25/year. a) Draw a block diagram and compute the reliability of the system from the reliabilities of the individual units. b) Draw a signal flow graph. c) Identify the cut sets and the minimal cut sets.

A certain system contains three branches in parallel. One branch contains units A and B in series. A second branch contains units C and D in series. The third branch contains unit E alone. These non-identical units have constant hazard rates in order of their unit number of 0.1/year, 0.15/year, 0.2/year, 0.15/year, and 0.25/year. a) Draw a block diagram and compute the reliability of the system from the reliabilities of the individual units. b) Draw a signal flow graph. c) Identify the cut sets and the minimal cut sets.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A certain system contains three branches in parallel. One branch contains units A and B in series. A second
branch contains units C and D in series. The third branch contains unit E alone. These non-identical units have
constant hazard rates in order of their unit number of 0.1/year, 0.15/year, 0.2/year, 0.15/year, and 0.25/year.
a) Draw a block diagram and compute the reliability of the system from the reliabilities of the individual units.
b) Draw a signal flow graph.
c) Identify the cut sets and the minimal cut sets.
d) Find reliability of the system.
e) Find the mean time to failure

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