1. Deadlocks a. Consider a system consisting of m resources of the same type, being shared by n processes, where both mand nare positive integers. Resources can be requested and released by processes only one at a time. Show that the system is deadlock free if the following two conditions hold: i. The maximum need of each process is between 1 and mresources; ii. The sum of all processes' maximum needs is less than m + n. Allocation ABCD ΤΟ 3 1 2 1 T1 2 1 0 2 T2 2 4 1 3 T3 4 1 1 0 T4 2 1 2 1 Figure 1: Banker's Algorithm Matrices Consider the snapshot of the system shown in Figure 1, in which there five threads 70-74 running with various numbers of four resource types A-D. (Assume that each resource type is distinct.) Fill in the Need matrix in the figure. b Thread Max ABCD 5 4 6 3 3 1 2 2 2 5 3 3 6 4 1 2 5 6 7 5 A Need B C D Available ABCD 4225 c. Using the banker's algorithm, determine if the system is in a safe state. If the state is safe, show the order in which the threads execute. Otherwise, explain why the state is unsafe.
1. Deadlocks a. Consider a system consisting of m resources of the same type, being shared by n processes, where both mand nare positive integers. Resources can be requested and released by processes only one at a time. Show that the system is deadlock free if the following two conditions hold: i. The maximum need of each process is between 1 and mresources; ii. The sum of all processes' maximum needs is less than m + n. Allocation ABCD ΤΟ 3 1 2 1 T1 2 1 0 2 T2 2 4 1 3 T3 4 1 1 0 T4 2 1 2 1 Figure 1: Banker's Algorithm Matrices Consider the snapshot of the system shown in Figure 1, in which there five threads 70-74 running with various numbers of four resource types A-D. (Assume that each resource type is distinct.) Fill in the Need matrix in the figure. b Thread Max ABCD 5 4 6 3 3 1 2 2 2 5 3 3 6 4 1 2 5 6 7 5 A Need B C D Available ABCD 4225 c. Using the banker's algorithm, determine if the system is in a safe state. If the state is safe, show the order in which the threads execute. Otherwise, explain why the state is unsafe.
Computer Networking: A Top-Down Approach (7th Edition)
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![1. Deadlocks
a. Consider a system consisting of m resources of the same type, being shared by n processes, where both mand nare positive integers. Resources can be
requested and released by processes only one at a time. Show that the system is deadlock free if the following two conditions hold:
i. The maximum need of each process is between 1 and m resources;
ii. The sum of all processes' maximum needs is less than m + n.
Allocation
Max
A B C D
A
B C D
3 1 2 1
5 4 6 3
2 1 0
b.
Thread
ΤΟ
T1
T2
2 4 1
4 1 1
2
3
T3
T4
2 1 2 1
Figure 1: Banker's Algorithm Matrices
0
3 1 2 2
2 5 3 3
6 4 1 2
5 6 7 5
A
Need
B C
D
Available
A B C D
4 2 2 5
Consider the snapshot of the system shown in Figure 1, in which there five threads TO-T4 running with various numbers of four resource types A-D.
(Assume that each resource type is distinct.) Fill in the Need matrix in the figure.
c. Using the banker's algorithm, determine if the system is in a safe state. If the state is safe, show the order in which the threads execute. Otherwise, explain
why the state is unsafe.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57bf85af-306f-48fe-bb83-a07a4d285faa%2F93a624b3-4611-49c2-a248-c7ef06914968%2Fxlmva0h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Deadlocks
a. Consider a system consisting of m resources of the same type, being shared by n processes, where both mand nare positive integers. Resources can be
requested and released by processes only one at a time. Show that the system is deadlock free if the following two conditions hold:
i. The maximum need of each process is between 1 and m resources;
ii. The sum of all processes' maximum needs is less than m + n.
Allocation
Max
A B C D
A
B C D
3 1 2 1
5 4 6 3
2 1 0
b.
Thread
ΤΟ
T1
T2
2 4 1
4 1 1
2
3
T3
T4
2 1 2 1
Figure 1: Banker's Algorithm Matrices
0
3 1 2 2
2 5 3 3
6 4 1 2
5 6 7 5
A
Need
B C
D
Available
A B C D
4 2 2 5
Consider the snapshot of the system shown in Figure 1, in which there five threads TO-T4 running with various numbers of four resource types A-D.
(Assume that each resource type is distinct.) Fill in the Need matrix in the figure.
c. Using the banker's algorithm, determine if the system is in a safe state. If the state is safe, show the order in which the threads execute. Otherwise, explain
why the state is unsafe.
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