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Question

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

The correct answer is

(p 1, p 0, p 2)

Step 1 — available and remaining resources:

Available drives = 12 − (5 + 2 + 2) = 3. Remaining needs of p₀, p₁ and p₂ are 5, 2 and 7 respectively.

Step 2 — safety test: p₁ can finish with 3 available and release its 2 allocated drives, raising availability to 5. Then p₀ can finish and release 5, raising availability to 10; finally p₂ can finish.

Thus (p₁, p₀, p₂) is a safe sequence.

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Important Questions from Deadlock Handling - Teaching

  1. 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 ?

  2. 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 :

  3. A system has four processes and five allocatable resources. The current allocation and maximum needs are as follows :

    AllocatedMaximumAvailable
    Process A1 0 2 1 11 1 2 1 30 0 \(x\) 1 1
    Process B2 0 1 1 02 2 2 1 0
    Process C1 1 0 1 02 1 3 1 0
    Process D1 1 1 1 01 1 2 2 1

    The smallest value of \(x\) for which the above system in safe state is __________.

  4. 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

    \(R_{1}\)\(R_{2}\)\(R_{3}\)
    \(P_{0}\)010
    \(P_{1}\)200
    \(P_{2}\)302
    \(P_{3}\)211
    \(P_{4}\)022

    Max

    \(R_{1}\)\(R_{2}\)\(R_{3}\)
    753
    322
    902
    222
    433

    Available

    \(R_{1}\)\(R_{2}\)\(R_{3}\)
    332

    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

  5. Which data structure does the Banker’s Algorithm use to maintain the state of available, maximum and allocated resources ?

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