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Consider a system having 'N' resources of the same type. X,Y, and Z are the three processes that shared the resource. The peak demand of X,Y, and Z are 5,11 and 9 respectively. What is/are the value of 'N' to ensures the system is in deadlock?
- a)23
- b)20
- c)21
- d)22
Correct answer is option 'B,C,D'. Can you explain this answer?
Most Upvoted Answer
Consider a system having N resources of the same type. X,Y, and Z are ...
Given,
Number of processes = 3
The available instance of resources = N
Max needs of process (X,Y,Z) = (5,11,9)
Now,
Deadlock can occur: needed (requested) resource > available resources
Max resource per process to be in deadlock = needed −1
Nmax = (5 − 1) + (11− 1) + (9 − 1) = 4 + 10 + 8
= 22
∴ ≤ 22 will leads to deadlock.
∴ 20,21,22 will leads to deadlock.
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Consider a system having N resources of the same type. X,Y, and Z are ...
The value of N to ensure the system is in deadlock can be determined by analyzing the resource allocation and request patterns of the processes.
Resource Allocation:
- X has a peak demand of 5 resources.
- Y has a peak demand of 11 resources.
- Z has a peak demand of 9 resources.
Resource Request:
- Let's assume that at any given time, X has allocated a maximum of 3 resources, Y has allocated a maximum of 7 resources, and Z has allocated a maximum of 6 resources.
To create a deadlock situation, we need to ensure that the processes cannot obtain all the resources they need to complete their tasks. This can be achieved by considering the worst-case scenario, where each process requests the maximum number of resources it can hold.
In this scenario:
- X requests 5 resources (its peak demand).
- Y requests 11 resources (its peak demand).
- Z requests 9 resources (its peak demand).
To ensure that the system is in deadlock, we need to make sure that even if all processes request their maximum resources, there are not enough resources available in the system to fulfill their requests.
Now, let's consider different values of N and see if the system can be deadlocked:
- If N = 20:
- X can be allocated 3 resources.
- Y can be allocated 7 resources.
- Z can be allocated 6 resources.
- In this case, all processes can obtain the resources they need, so deadlock does not occur.
- If N = 21:
- X can be allocated 4 resources.
- Y can be allocated 7 resources.
- Z can be allocated 6 resources.
- Again, all processes can obtain the resources they need, so deadlock does not occur.
- If N = 22:
- X can be allocated 4 resources.
- Y can be allocated 8 resources.
- Z can be allocated 6 resources.
- All processes can still obtain the resources they need, so deadlock does not occur.
From the above analysis, we can see that even when N is increased to 22, deadlock does not occur. Therefore, the correct answers are options B, C, and D (20, 21, and 22). These values of N ensure that the system does not enter a deadlock state.
Resource Allocation:
- X has a peak demand of 5 resources.
- Y has a peak demand of 11 resources.
- Z has a peak demand of 9 resources.
Resource Request:
- Let's assume that at any given time, X has allocated a maximum of 3 resources, Y has allocated a maximum of 7 resources, and Z has allocated a maximum of 6 resources.
To create a deadlock situation, we need to ensure that the processes cannot obtain all the resources they need to complete their tasks. This can be achieved by considering the worst-case scenario, where each process requests the maximum number of resources it can hold.
In this scenario:
- X requests 5 resources (its peak demand).
- Y requests 11 resources (its peak demand).
- Z requests 9 resources (its peak demand).
To ensure that the system is in deadlock, we need to make sure that even if all processes request their maximum resources, there are not enough resources available in the system to fulfill their requests.
Now, let's consider different values of N and see if the system can be deadlocked:
- If N = 20:
- X can be allocated 3 resources.
- Y can be allocated 7 resources.
- Z can be allocated 6 resources.
- In this case, all processes can obtain the resources they need, so deadlock does not occur.
- If N = 21:
- X can be allocated 4 resources.
- Y can be allocated 7 resources.
- Z can be allocated 6 resources.
- Again, all processes can obtain the resources they need, so deadlock does not occur.
- If N = 22:
- X can be allocated 4 resources.
- Y can be allocated 8 resources.
- Z can be allocated 6 resources.
- All processes can still obtain the resources they need, so deadlock does not occur.
From the above analysis, we can see that even when N is increased to 22, deadlock does not occur. Therefore, the correct answers are options B, C, and D (20, 21, and 22). These values of N ensure that the system does not enter a deadlock state.
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Consider a system having N resources of the same type. X,Y, and Z are the three processes that shared the resource. The peak demand of X,Y, and Z are 5,11 and 9 respectively. What is/are the value of N to ensures the system is in deadlock?a)23b)20c)21d)22Correct answer is option 'B,C,D'. Can you explain this answer?
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