Homework #2

(Due: 2/1 Class#9)

(Total: 50 points)

1. Give a full description of the scheduling problems denoted by the following | | notation shown below.

(a) 1 | prec | Cj

(b) P4 | Pj = 1, chains | Cmax

(c) Q | prmp, rj | Wj Cj

2. Use McNaughton’s wrap around rule to construct a preemptive schedule for the following set of independent jobs on 6 identical and

parallel machines.

Ti T1 T2 T3 T4 T5 T6 T7 T8 T9 T10 T11

Pi 7 5 3 4 1 6 2 4 11 8 2

3. 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 7 15

2 18 13 21 22 25 12 9 11 3

4. Use Leung-Young algorithm to construct a preemptive schedule for the following jobs on 4 identical and parallel machines.

Ti T1 T2 T3 T4 T5 T6 T7 T8 T9 T10 T11 T12

Pi 1 2 3 4 6 7 9 11 12 16 20 20

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