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Q3. Please consider the following mutual exclusion algorithm that uses the shared variables yı and y2 (initially both 0). Process P1: Process P2: while true do while true do ... noncritical section... yi := y2+ 1; wait until (y2 = 0) V (yı < y2) ... critical section... yı:= 0; od ... noncritical section... y2:= yı + 1; wait until (yı = 0) V(y2 < yı) ... critical section... y2:= 0; od

Q3. Please consider the following mutual exclusion algorithm that uses the shared variables yı and y2 (initially both 0). Process P1: Process P2: while true do while true do ... noncritical section... yi := y2+ 1; wait until (y2 = 0) V (yı < y2) ... critical section... yı:= 0; od ... noncritical section... y2:= yı + 1; wait until (yı = 0) V(y2 < yı) ... critical section... y2:= 0; od

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Q3. Please consider the following mutual exclusion algorithm that uses the shared variables yı and y2 (initially both 0). Process P1: Process P2: while true do while true do ... noncritical section. .. yı := y2 + 1; wait until (v2 =0) V(yI < y2) ... critical section. .. yi:= 0; od ... noncritical section. .. y2:= yı + 1; wait until (yı = 0) V (y2 < yı) ... critical section. .. y2 := 0; od Please answer following questions: a) Give the program graph representations of both processes. (A pictorial representation suffices.) b) Give the reachable part of the transition system of P1 || P2 where yl<2 and y2 < 2. c) Describe an execution that shows that the entire transition system is infinite. d) Check whether the algorithm indeed ensures mutual exclusion. e) Check whether the algorithm never reaches a state in which both processes are mutually waiting for each other. f) Is it possible that a process that wants to enter the critical section has to wait ad infinitum?
Transcribed Image Text:Q3. Please consider the following mutual exclusion algorithm that uses the shared variables yı and y2 (initially both 0). Process P1: Process P2: while true do while true do ... noncritical section. .. yı := y2 + 1; wait until (v2 =0) V(yI < y2) ... critical section. .. yi:= 0; od ... noncritical section. .. y2:= yı + 1; wait until (yı = 0) V (y2 < yı) ... critical section. .. y2 := 0; od Please answer following questions: a) Give the program graph representations of both processes. (A pictorial representation suffices.) b) Give the reachable part of the transition system of P1 || P2 where yl<2 and y2 < 2. c) Describe an execution that shows that the entire transition system is infinite. d) Check whether the algorithm indeed ensures mutual exclusion. e) Check whether the algorithm never reaches a state in which both processes are mutually waiting for each other. f) Is it possible that a process that wants to enter the critical section has to wait ad infinitum?
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