Research Article

The 𝐢 m a x Problem of Scheduling Multiple Groups of Jobs on Multiple Processors at Different Speeds

Table 3

The improved LS schedule.

Processors Processing times of jobs 𝑀 𝑇 𝑖

Processor 1 ( 𝑠 1 = 3 ) 𝑑 ( 1 , 1 ) = 9 𝑑 ( 1 , 4 ) = 3 𝑑 ( 1 , 6 ) = 3 𝑑 ( 1 , 9 ) = 8    9 2 / 3
Processor 2 ( 𝑠 2 = 2 ) 𝑑 ( 2 , 1 ) = 6 𝑑 ( 2 , 3 ) = 2 𝑑 ( 2 , 4 ) = 2 𝑑 ( 2 , 6 ) = 2    18
Processor 3 ( 𝑠 3 = 1 ) 𝑑 ( 3 , 1 ) = 3 𝑑 ( 3 , 2 ) = 2 𝑑 ( 3 , 3 ) = 1 𝑑 ( 3 , 4 ) = 1 𝑑 ( 3 , 5 ) = 1 𝑑 ( 3 , 6 ) = 1 18
Processor 4 ( 𝑠 4 = 1 ) 𝑑 ( 1 , 2 ) = 6 𝑑 ( 1 , 5 ) = 3 𝑑 ( 1 , 7 ) = 1     20
Processor 5 ( 𝑠 5 = 1 ) 𝑑 ( 2 , 2 ) = 4 𝑑 ( 1 , 3 ) = 3 𝑑 ( 2 , 5 ) = 2 𝑑 ( 1 , 8 ) = 1    20