Hey, I have already received a good answer to this question but I am looking for greater detail to be provided.  There are three processes P1, P2 and P3 are running in a system with 3 instances of a resource R1, 2 instances of a resource R2, and 2 instances of a resource R3. At a given time the allocation matrix is: A = [{1, 1, 1} { 0, 1, 0} { 1, 0, 0 }] Assume that the maximum matrix is M = [ {2,2,1} {1,1,1} {3,1,0}] While in this state, a new process P4 is created which requires at most 2 instances of R1 and one instance of R2. This process initially requests one instance of R1 to be allocated to it. Using the Banker’s algorithm, determine whether this request can be granted or must be refused.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Hey, I have already received a good answer to this question but I am looking for greater detail to be provided. 

There are three processes P1, P2 and P3 are running in a system with 3 instances of a resource R1, 2 instances of a resource R2, and 2 instances of a resource R3. At a given time the allocation matrix is:

A = [{1, 1, 1} { 0, 1, 0} { 1, 0, 0 }]

Assume that the maximum matrix is

M = [ {2,2,1} {1,1,1} {3,1,0}]

While in this state, a new process P4 is created which requires at most 2 instances of R1 and one instance of R2. This process initially requests one instance of R1 to be allocated to it. Using the Banker’s algorithm, determine whether this request can be granted or must be refused. 

 

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