Enhancing Scheduling Performance for a Wafer Fabrication Factory: The Biobjective Slack-Diversifying Nonlinear Fluctuation-Smoothing Rule

Table 1

The summary of some dispatching rules.

Rule name	Formula
1f-TNFSMCT	SK𝑖𝑗=𝛽𝛼RCTE𝑖𝑗−minRCTE𝑖𝑗^𝜉⋅(𝑅𝑖−RCTE𝑖𝑗+𝜉(RCTE𝑖𝑗−min(𝑅𝑖)))
1f-TNFSVCT	SK𝑖𝑗=𝛽𝜆𝛾RCTE𝑖𝑗−min(RCTE𝑖𝑗)^𝜉⋅𝑖𝜆−RCTE𝑖𝑗+RCTE𝑖𝑗−1𝜆𝜉
1f-biNFS	SK𝑖𝑗=((𝑖/𝜆)−(1/𝜆))^1−𝜉𝑅𝑖−min𝑅𝑖^𝜉RCTE𝑖𝑗−minRCTE𝑖𝑗((𝑁/𝜆)−(1/𝜆))^1−𝜉max𝑅𝑖−min𝑅𝑖^𝜉maxRCTE𝑖𝑗−minRCTE𝑖𝑗
4f-biNFS	SK𝑖𝑗=𝑅𝑖−RCTE𝑖𝑗+RCTE𝑖𝑗−min𝑅𝑖⋅𝑓1⋅𝛼^−𝑓2
	⋅𝑖𝜆−RCTE𝑖𝑗+RCTE𝑖𝑗−1𝜆⋅𝑓3⋅𝛾𝜆^−𝑓4
	⋅(RCTE𝑖𝑗−minRCTE𝑖𝑗)𝛽^−(𝑓2+𝑓4)
Dynamic; 1f biNFS	SK𝑖𝑗=((𝑖/𝜆)−(1/𝜆))^1−𝜉(𝑡)𝑅𝑖−min𝑅𝑖^𝜉(𝑡)RCTE𝑖𝑗−minRCTE𝑖𝑗((𝑁/𝜆)−(1/𝜆))^1−𝜉max𝑅𝑖−min𝑅𝑖^𝜉maxRCTE𝑖𝑗−minRCTE𝑖𝑗
	1𝜉(𝑡)=2𝜋sin𝑐𝑡+1