Suppose a system has 5 processes, P = {P1, P2, P3, P4, P5}, and 4 resources, R = {R1, R2, R3, R4}, where there are 2 instances of R1, 1 instance of R2, 3 instances of R3, and 3 instances of R4. The current state of the system is defined by the following requests and assignments: P1 is requesting an instance of R3 and has been assigned an instance of R2; P2 is requesting an instance of R1 and has been assigned an instance of R3; P3 is requesting an instance of R4 and has been assigned an instance of R1 and an instance of R3; P4 is requesting an instance of R3; P5 is requesting an instance of R2 and has been assigned an instance of R4. Is there deadlock in this system? (Explicitly state yes, there’s deadlock or no, there isn’t.) If applicable, draw a wait-for graph or resource-allocation graph, and use the appropriate graph to justify your answer. If you conclude there is no deadlock, your justification should contain a sequence of execution for the processes which shows that all processes can execute to completion.

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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Suppose a system has 5 processes, P = {P1, P2, P3, P4, P5}, and 4 resources, R = {R1, R2, R3, R4}, where there are 2 instances of R1, 1 instance of R2, 3 instances of R3, and 3 instances of R4. The current state of the system is defined by the following requests and assignments:

  • P1 is requesting an instance of R3 and has been assigned an instance of R2;

  • P2 is requesting an instance of R1 and has been assigned an instance of R3;

  • P3 is requesting an instance of R4 and has been assigned an instance of R1 and an instance of R3;

  • P4 is requesting an instance of R3;

  • P5 is requesting an instance of R2 and has been assigned an instance of R4.

Is there deadlock in this system? (Explicitly state yes, there’s deadlock or no, there isn’t.) If applicable, draw a wait-for graph or resource-allocation graph, and use the appropriate graph to justify your answer. If you conclude there is no deadlock, your justification should contain a sequence of execution for the processes which shows that all processes can execute to completion.

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