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Advances, Systems and Applications

Table 1 Symbol definition

From: Improved firefly algorithm with courtship learning for unrelated parallel machine scheduling problem with sequence-dependent setup times

Symbol

Definition

Cj

The completion time of the last job j on the machine

Cmax

The maximum completion time, namely makespan

xi,j,k

When job j is processed immediately after job i is processed on machine k,

 

it is 1; otherwise 0

x0,j,k

If machine k processes job j first, it is 1; otherwise 0

xi,0,k

If job i is the last one to be processed on machine k, it is 1; otherwise 0

V

A sufficiently large positive number

Si,j,k+Pj,k

Corrected machine processing times matrix