Two-Stage Hybrid Optimization Algorithm for Silicon Single Crystal Batch Scheduling Problem under Fuzzy Processing Time

Table 2

Symbol definition.

Symbol	Expression
	Number of machines
	Number of jobs
	Dimension type
	Maximum of production batch
	Dimension sequence
	Machine sequence
	Job sequence
	Production batch
	Machine type
	Loading capacity of the -th machine
	The order quantity of the -th size order silicon single crystal
	Actual production quantity of the -th size order silicon single crystal
	The -th job is operated on the -th machine
	The number of the -th size silicon single crystal grown on the -th machine
	Fuzzy processing time of the -th size silicon single crystal on the -th machine
	Fuzzy completion time of the -th size silicon single crystal order
	Fuzzy maximum completion time
	Fuzzy starting time of the -th size silicon single crystal in -batch on the -th machine
	Fuzzy completion time of the -th size silicon single crystal in -batch on the -th machine