Consider the following maximum-claim reusable resource system with four processes (Po, P₁, P2, P3) and three resource types (Ro, R₁, R₂). The maximum claim matrix C is given by Po P₁ P₂ P3 Ro 4 3 5 1 RO 5 Po P₁ P₂ P3 where Cij denote maximum claim of process i for resource j. The total number of units of each resource type is given by the vector R₁ 1 1 6 1 R1 8 R2 R₂ 4 4 13 6 15 The current allocation of resources is given by the matrix A Ro R₁ 0 1 2 0 1 2 1 0 where Aij denotes the units of resources of type j currently allocated to process i. For the state shown above, determine if a new request by process P₁ for 1 unit of resource R₁ can be safely granted. (Remark: You can assume that the system state above does not yet consider this request.) R₂ 4 1 1 3

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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3.
Consider the following maximum-claim reusable resource system with four processes
(Po, P1, P2, P3) and three resource types (Ro, R₁, R₂). The maximum claim matrix C is given by
Po
P₁
P₂
P3
RAMSA
RO
5
Po
P₁
P₂
P3
Ro
4
3
5
where Cij denote maximum claim of process i for resource j. The total number of units of each
resource type is given by the vector
R₁
1
1
6
1
R1
8
R₂
4
4
13
6
R2
15
The current allocation of resources is given by the matrix A
Ro
R₁
0
1
2
0
1
2
1
0
where Aij denotes the units of resources of type j currently allocated to process i. For the state
shown above, determine if a new request by process P₁ for 1 unit of resource R₁ can be safely
granted. (Remark: You can assume that the system state above does not yet consider this
request.)
R₂
4
1
1
3
Transcribed Image Text:3. Consider the following maximum-claim reusable resource system with four processes (Po, P1, P2, P3) and three resource types (Ro, R₁, R₂). The maximum claim matrix C is given by Po P₁ P₂ P3 RAMSA RO 5 Po P₁ P₂ P3 Ro 4 3 5 where Cij denote maximum claim of process i for resource j. The total number of units of each resource type is given by the vector R₁ 1 1 6 1 R1 8 R₂ 4 4 13 6 R2 15 The current allocation of resources is given by the matrix A Ro R₁ 0 1 2 0 1 2 1 0 where Aij denotes the units of resources of type j currently allocated to process i. For the state shown above, determine if a new request by process P₁ for 1 unit of resource R₁ can be safely granted. (Remark: You can assume that the system state above does not yet consider this request.) R₂ 4 1 1 3
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