What is the maximum possible value of xafter all 4 processes complete execution? Show how this value would be achieved and the order of execution necessary for this to occur. b) What is the minimum possible value of xafter all 4 processes complete execution? Show how this value would be achieved and the order of execution necessary for this to occur.

Microsoft Visual C#
7th Edition
ISBN:9781337102100
Author:Joyce, Farrell.
Publisher:Joyce, Farrell.
Chapter8: Advanced Method Concepts
Section: Chapter Questions
Problem 7RQ
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Shared Variable Problem.  Assume there is a shared variable x, initialized to 0, that is operated on by four concurrently executing processes (A, B, C, and D) as shown below:

Process A

Process B

Process C

Process D

semWait(s);
read(x);
x = x - 2;
write(x);
semSignal(s);

semWait(s);
read(x);
x = x - 3;
write(x);
semSignal(s);

semWait(s);
read(x);
x = x + 2;
write(x);
semSignal(s);

semWait(s);
read(x);
x = x + 3;
write(x);
semSignal(s);

Note that each process, before reading x, invokes the semWait operation on a counting semaphore s and invokes the semSignal operation on the semaphore s after writing x. The counting semaphore s is initialized to a value of 2. The processes can arrive in any order and can be preempted at any point in their execution by another process. Answer the following questions:

  1. a)  What is the maximum possible value of xafter all 4 processes complete execution? Show how this value would be achieved and the order of execution necessary for this to occur.
  2. b) What is the minimum possible value of xafter all 4 processes complete execution? Show how this value would be achieved and the order of execution necessary for this to occur.
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