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Use the SPT rule to construct a preemptive schedule for the following set of ind

ID: 3549818 • Letter: U

Question

Use the SPT rule to construct a preemptive schedule for the following set of independent jobs on 3 identical and parallel machines.

Ti

T1

T2

T3

T4

T5

T6

T7

T8

T9

T10

T11

T12

Pi

3

12

22

7

13

21

2

17

27

19

11

9

Machine 1 T7,T12,T5,T6

Machine 2 T1,T11,T8,T3

Machine 3 T4,T2,T10

0             1            2         3         4         5            6        7         8        9       10

                        T7

T12

T5

              T6

                                                            T1

T11

   T8

  T3

  T4

  T2

    T1

                    

This is the answer I got. Wondering if I am right. Thanks for any help on this.

  

Ti

     

T1

     

T2

     

T3

     

T4

     

T5

     

T6

     

T7

     

T8

     

T9

     

T10

     

T11

     

T12

     

Pi

     

3

     

12

     

22

     

7

     

13

     

21

     

2

     

17

     

27

     

19

     

11

     

9

  

Explanation / Answer

process time machine


t1 3 m2

t2 12 m3

t3 22 m2

t4 7 m3

t5 13 m1

t6 21 m1

t7 2 m1

t8 17 m2

t9 27 m3

t10 19 m3

t11 11 m2

t12 9 m1


in SPT shortest process will execute first.

based on the above table.. 2 is the shortest process time having by t7.so m1 process t7. next small time is 3 processed by m2. and next small value processed by m3.again check for small time and m1 will execute that process. this continues..

m1,m2,m3 are machines


Machine 1 T7,T12,T5,T6

Machine 2 T1,T11,T8,T3

Machine 3 T4,T2,T10,T9