Consider the following snapshot of a system at time t ALLOCATION MAXIMUM PROCESS P1 4 12 10 P2 2. 3. 4 3. P3 1 P4 6. 12 P5 2. 3 Initially there are: 16 units of the resource A, 20 units of the resource B, and 17 units of the resource C. Answer the following questions using the banker's algorithm: a. Determine the Available, and Total Allocated matrix based on the above data. b. What is the content of the Need matrix? c Is the system in a safe state or not? If it is, show how the processes can complete. Justify your answ'er. 2) 96 4. 3. 2. 1. 2) %24
The Banker's Algorithm is a method used in computer science to ensure that a system can avoid deadlocks when allocating resources to multiple processes. It is used in operating systems to manage the allocation of resources such as memory, disk space, and peripheral devices. The algorithm is based on the concept of a safe state, where a set of processes can be executed without the risk of deadlock.
a. To determine the Available and Total Allocated matrices, we need to calculate the currently available resources for each resource type (A, B, and C) by subtracting the allocated resources from the initial resources.
Total Allocated matrix:
A: 3+2+1+5+2 =13
B: 4+3+1+6+3 = 17
C: 4+4+1+5+2 = 16
Available = Total allocate - initial
Available metrics are as follows:
A: 16 - (3+2+1+5+2)=3
B: 20 - (4+3+1+6+3)=3
C: 17 -(4+4+1+5+2) =1
b. The content of the need matrix is calculated by the following formula:
Need = maximum - allocation
Need for P1 = (12 10 8) - (3 4 4) = 9 6 4
Need for P2 = (3 5 7) - (2 3 4) = 1 2 3
Need for P3 = (2 3 2) - (1 1 1) = 1 2 1
Need for P4 = (6 12 6) - (5 6 5) = 1 6 1
Need for P5 = (4 5 4) - (2 3 2) = 2 2 2
| Process | Need |
| A B C | |
| P1 | 9 6 4 |
| P2 | 1 2 3 |
| P3 | 1 2 1 |
| P4 | 1 6 1 |
| P5 | 2 2 2 |
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