Consider a system has 3 process P1,P2,P3. Process P1 needs 20 units of resources R, P2 needs 15 units of R and P3 needs 5 unit of R. What is the maximum unit of resource R that leads to deadlock?
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To determine the maximum units of resource R that can lead to a deadlock in a system with three processes P1, P2, and P3, where each process requires a specific number of resource units, we need to analyze the resource allocation and request patterns.
Given:
– Process P1 requires 20 units of resource R.
– Process P2 requires 15 units of resource R.
– Process P3 requires 5 units of resource R.
For a deadlock to occur, each process must hold some resources and be waiting for additional resources that another process holds. A deadlock is possible if the total units of the resource R in the system are less than the sum of the maximum needs of the processes minus the number of processes plus one.
The formula to determine the maximum units of resource R that can lead to deadlock is:
Total resources < sum (Max needs) – (Number of processes – 1)
Plugging in the values:
Total resources < (20 + 15 + 5) – (3 – 1)
Total resources < 40 – 2
Total resources < 38
Therefore, the maximum number of units of resource R that can lead to a deadlock in this system is 37. If the system has 37 or fewer units of resource R, it is possible for the processes to reach a state where they are all holding some resources and waiting for more, leading to a deadlock.
In summary, the maximum units of resource R that lead to a deadlock in this system are 37 units.