Consider a system consisting of 4 resources of the same type that are shared among 3 processes, each of which needs at most 2 resources.

Consider a system consisting of 4 resources of the same type that are shared among 3 processes, each of which needs at most 2 resources. Show that the system is deadlock-free. Hint: Show that the condition ((claim-allocated) <= available) can always be satisfied.

Expert Solution

Lets us consider the processes are P1,P2,P3.

Here the resources are of same type and there are 4 resources available

We will give one resource to each process initially

Now,1 resource is available

Inorder to any process to complete its execution they need atmost two resources

therefore we give the additional remaining 1 resource to the process P1.

Here ((claim-allocated)<=allocated) =((1-1)<=0) is satisfied

Now after the process P1 execution gets completed it will releases the resources with it

Now available=2, P2 will starts and ((claim-allocated)<=allocated) =((1-1)<=2) is satisfied

Now after the process P2 execution gets completed it will also releases the resources with it

Now available=3, P3 will starts and ((claim-allocated)<=allocated) =((1-1)<=3) is satisfied

And P3 will completes its execution

Here we can conclude that the system is in safe state and there is no deadlock

venereology answered 2 years ago

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