Consider a system with twelve magnetic tape drives and three processes \(P_{1}\), \(P_{2}\) and \(P_{3}\). Process \(P_{1}\) requires maximum ten tape drives, process \(P_{2}\) may need as many as four tape drives and \(P_{3}\) may need upto nine tape drives. Suppose that at time \(t_{1}\), process \(P_{1}\) is holding five tape drives, process \(P_{2}\) is holding two tape drives and process \(P_{3}\) is holding three tape drives. At time \(t_{1}\), system is in :
unsafe state
Allocated \(= 5 + 2 + 3 = 10\), so available \(= 12 - 10 = 2\).
Remaining needs: \(P_{1} = 10 - 5 = 5\), \(P_{2} = 4 - 2 = 2\), \(P_{3} = 9 - 3 = 6\).
\(P_{2}\) can finish with the 2 free drives and release 4, but then neither \(P_{1}\) (needs 5) nor \(P_{3}\) (needs 6) can be satisfied.
No safe sequence exists, yet no process is blocked waiting at this instant, so the state is unsafe rather than deadlocked.
Check: available after P2 = 4, which is less than both remaining needs 5 and 6.
Hence, unsafe state.
An operating system has 13 tape drives. There are three processes P1, P2 & P3. Maximum requirement of P1 is 11 tape drives, P2 is 5 tape drives and P3 is 8 tape drives. Currently, P1 is allocated 6 tape drives, P2 is allocated 3 tape drives and P3 is allocated 2 tape drives. Which of the following sequences represent a safe state ?
A system has four processes and five allocatable resources. The current allocation and maximum needs are as follows :
| Allocated | Maximum | Available | |
| Process A | 1 0 2 1 1 | 1 1 2 1 3 | 0 0 \(x\) 1 1 |
| Process B | 2 0 1 1 0 | 2 2 2 1 0 | |
| Process C | 1 1 0 1 0 | 2 1 3 1 0 | |
| Process D | 1 1 1 1 0 | 1 1 2 2 1 |
The smallest value of \(x\) for which the above system in safe state is __________.
Consider a system with five processes \(P_{0}\) through \(P_{4}\) and three resource types \(R_{1}\), \(R_{2}\) and \(R_{3}\). Resource type \(R_{1}\) has 10 instances, \(R_{2}\) has 5 instances and \(R_{3}\) has 7 instances. Suppose that at time \(T_{0}\), the following snapshot of the system has been taken :
Allocation
| \(R_{1}\) | \(R_{2}\) | \(R_{3}\) | |
| \(P_{0}\) | 0 | 1 | 0 |
| \(P_{1}\) | 2 | 0 | 0 |
| \(P_{2}\) | 3 | 0 | 2 |
| \(P_{3}\) | 2 | 1 | 1 |
| \(P_{4}\) | 0 | 2 | 2 |
Max
| \(R_{1}\) | \(R_{2}\) | \(R_{3}\) |
| 7 | 5 | 3 |
| 3 | 2 | 2 |
| 9 | 0 | 2 |
| 2 | 2 | 2 |
| 4 | 3 | 3 |
Available
| \(R_{1}\) | \(R_{2}\) | \(R_{3}\) |
| 3 | 3 | 2 |
Assume that now the process \(P_{1}\) requests one additional instance of type \(R_{1}\) and two instances of resource type \(R_{3}\). The state resulting after this allocation will be
Which data structure does the Banker’s Algorithm use to maintain the state of available, maximum and allocated resources ?
What is the significance of the Banker’s algorithm in terms of resource management ?
Which of the following is NOT a requirement for Banker’s algorithm to grant a resource request ?
What is the primary goal of the Banker’s Algorithm ?
What information is used to determine if a resource request can be granted ?
Suppose a system has 12 magnetic tape drives and at time t 0, three processes are allotted tape drives out of their as given below:
Maximum Needs | Current Needs | |
p 0 | 10 | 5 |
p 1 | 4 | 2 |
p 2 | 9 | 2 |
At time t 0, the system is in safe state. Which of the following is safe sequence so that deadlock is avoided?
NOTE:
Current Need is currently allocated resource to a process
An operating system has 13 tape drives. There are three processes P1, P2 & P3. Maximum requirement of P1 is 11 tape drives, P2 is 5 tape drives and P3 is 8 tape drives. Currently, P1 is allocated 6 tape drives, P2 is allocated 3 tape drives and P3 is allocated 2 tape drives. Which of the following sequences represent a safe state ?
A system has four processes and five allocatable resources. The current allocation and maximum needs are as follows :
| Allocated | Maximum | Available | |
| Process A | 1 0 2 1 1 | 1 1 2 1 3 | 0 0 \(x\) 1 1 |
| Process B | 2 0 1 1 0 | 2 2 2 1 0 | |
| Process C | 1 1 0 1 0 | 2 1 3 1 0 | |
| Process D | 1 1 1 1 0 | 1 1 2 2 1 |
The smallest value of \(x\) for which the above system in safe state is __________.
Consider a system with five processes \(P_{0}\) through \(P_{4}\) and three resource types \(R_{1}\), \(R_{2}\) and \(R_{3}\). Resource type \(R_{1}\) has 10 instances, \(R_{2}\) has 5 instances and \(R_{3}\) has 7 instances. Suppose that at time \(T_{0}\), the following snapshot of the system has been taken :
Allocation
| \(R_{1}\) | \(R_{2}\) | \(R_{3}\) | |
| \(P_{0}\) | 0 | 1 | 0 |
| \(P_{1}\) | 2 | 0 | 0 |
| \(P_{2}\) | 3 | 0 | 2 |
| \(P_{3}\) | 2 | 1 | 1 |
| \(P_{4}\) | 0 | 2 | 2 |
Max
| \(R_{1}\) | \(R_{2}\) | \(R_{3}\) |
| 7 | 5 | 3 |
| 3 | 2 | 2 |
| 9 | 0 | 2 |
| 2 | 2 | 2 |
| 4 | 3 | 3 |
Available
| \(R_{1}\) | \(R_{2}\) | \(R_{3}\) |
| 3 | 3 | 2 |
Assume that now the process \(P_{1}\) requests one additional instance of type \(R_{1}\) and two instances of resource type \(R_{3}\). The state resulting after this allocation will be
Which data structure does the Banker’s Algorithm use to maintain the state of available, maximum and allocated resources ?