Integrated Scheduling for Steelmaking Continuous Casting— Hot Rolling Processes considering Hot Chain Logistics

Algorithm 1

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	STAGE 1:
	STEP 1.1: enter the list .
	STEP 1.2: set the current time be 0, schedule RH process () according to , if apply.
	Select the earliest free RH device to process heat . If there are multiple RH devices idle, randomly select one.
	Calculate the starting time in the RH.
	Resort list according to in ascending order to get a new .
	STEP 1.3: set the current time be 0, schedule LF process () according to , if apply.
	Select the earliest idle LF device to process heat . If there are multiple LF devices idle, choose one randomly.
	Calculate the starting time in the LF.
	Resort list according to in ascending order to get a new .
	STEP 1.4: set the current time be 0, schedule BOF process () according to .
	Select the earliest free BOF device to process heat . If there are multiple BOF devices idle, randomly select one.
	STAGE 2:
	STEP 2.1: calculate and according to the schedule.
	STEP 2.2: apply linear programming solver to solve the SP-PWP model.
	STEP 2.3: output the solution: and the objective function value .