8. A single repairperson looks after the two machines 1 and 2. Each time it is repaired, machine i stays up for an exponential time with rate 2, , where i = 1,2. When machine i fails, it requires an exponentially distributed amount of work with rate u, to complete its repair. The repairperson will always service machine 1 when it is down. For instance, if machine 1 fails while 2 is being repaired, then the repairperson will immediately stop work on machine 2 and start on 1. (i) Write down all the states. (ii) What is the probability that the machine 2 is down.
8. A single repairperson looks after the two machines 1 and 2. Each time it is repaired, machine i stays up for an exponential time with rate 2, , where i = 1,2. When machine i fails, it requires an exponentially distributed amount of work with rate u, to complete its repair. The repairperson will always service machine 1 when it is down. For instance, if machine 1 fails while 2 is being repaired, then the repairperson will immediately stop work on machine 2 and start on 1. (i) Write down all the states. (ii) What is the probability that the machine 2 is down.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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