Real Time

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Version 2 CSE, IIT Kharagpur

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T I3

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r

Version 2 CSE, IIT Kharagpur

lock(CR) T1 needs non−preemptable resource CR being held by T5 T1 T1 undergoing unbounded priority inversion T2

T1 gets non−preemptable resource CR held by T5

T5 preempted by T4

T3 T4

unlock(CR) lock(CR)

T5 t1

t2

t3

t4

t5

time

tn

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Version 2 CSE, IIT Kharagpur

pri(Ti)=5

pri(Ti)=5

CR

CR

Ti

Ti

CR Pri(Ti)=10

Ti

Ti

pri(Ti)=5

CR

Tj

Tj Tj

pri(Tj)=10

pri(Tj)=10 pri(Tj)=10 scenario 4

‰;BXY[V5GN@ rZ ˜ IUM[gUOQ>U\_JNO0˜C>5\l`‡BEIUYaš'\[GNPBEIUYa\[|;œ&G3BX\[GNB]Jon£ƒIU>5@hGNB]JTM_IUSh@œqGN\_J3\CSh\[W scenario 1

scenario 2

scenario 3

                  "!#   $ !%&   ' ( (% *)+ , -           "$! %&$ ,  ' ( (% *)+ . , -  ++   $ , ' ( (% *)  $-#     *   /0  *' (* (%  *) , (#      1 2

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Version 2 CSE, IIT Kharagpur

T1

T1

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T3 releases CR

T2

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T2 requests CR

T3 acquires CR

Task priority

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T3

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t2

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time

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1

Version 2 CSE, IIT Kharagpur

CR1 T2

T2

T2

CR2

CR2

CR2

Waiting for CR1

Waiting for CR2

T1

T1 CR1

T2 Executing

T1 Executing

T1 Blocked

T2 Blocked

Snapshot 1

Snapshot 2

T1 CR1 T2 Executing T1 Blocked Snapshot 3

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Version 2 CSE, IIT Kharagpur

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CR2 TH

Ceil(R1)=10 CSC=10

pri(TH )=8

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Version 2 CSE, IIT Kharagpur

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Task Priorities

Pri(T1)= 10

T1

40ms CR1

Pri(T2)= 7

T 2

60ms

10ms Pri(T3)= 5

T 3

CR2 20ms

Pri(T4)= 2

T 4

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Version 2 CSE, IIT Kharagpur

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T1

20ms CR 1

T 2

10ms

10ms

30ms T 3

T 6

CR 2 40ms

T 4

10ms

50ms CR 3

T 5

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Version 2 CSE, IIT Kharagpur

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Version 2 CSE, IIT Kharagpur

Arrangement of tasks in ascending order:

Step1:

T1 T3 T2 T5 T4 Schedule tasks as late as possible without violating precedence constraints:

Step 2:

T1 6 8

0

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T3 T2 20 25

T5 T4 33 40 50

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Step 3:

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Version 2 CSE, IIT Kharagpur

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5

Version 2 CSE, IIT Kharagpur

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