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 byPoP₁P₂P3RAMSARO5PoP₁P₂P3Ro435where Cij denote maximum claim of process i for resource j. The total number of units of eachresource type is given by the vectorR₁1161R18R₂44136R215The current allocation of resources is given by the matrix ARoR₁01201210where Aij denotes the units of resources of type j currently allocated to process i. For the stateshown above, determine if a new request by process P₁ for 1 unit of resource R₁ can be safelygranted. (Remark: You can assume that the system state above does not yet consider thisrequest.)R₂4113

Given the Maximum claim and Current Allocation matrixes: Maximum claim = 4143145613116Current…

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

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

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter9: Integer Programming

Section: Chapter Questions

Problem 22RP

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Consider the following maximum-claim reusable resource system with four processes (P0, P1, P2, P3) and three resource types (R0, R1, R2). The maximum claim matrix C is given as: R0 R1 R2 P0 4 1 4 P1 3 1 4 P2 5 6 13 P3 1 1 6 Where Cij denotes the maximum claim of the process i for resource j. The total number of units of each resource type is given by the vector: R0 R1 R2 5 8 15 The current allocation of resources is given by matrix A: R0 R1 R2 P0 0 1 4 P1 2 0 3 P2 1 4 1 P3 1 0 3 Answer the following questions about the system: Determine if the current state of the system is safe. Explain your reasoning and calculation path.
Given the following state of system: the system comprises of four processes and three resources. P1 – P4 denotes the set of processes R1 – R3 denotes the set of resources Claim Matrix C R1 R2 R3 P1 4 5 3 P2 3 2 3 P3 1 2 3 P4 1 0 2 Allocation Matrix A R1 R2 R3 P1 2 2 0 P2 3 2 0 P3 1 1 3 P4 0 0 2 Available Matrix V R1 R2 R3 0 3 2 Compute the Resource vector R. (08) Compute the need Matrix Is the current allocation state safe? If, give a safe sequence of the process. In addition, show how the Available (working array) changes as each process terminates.
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