12 Lot_Streaming (1)

12 Lot_Streaming (1) - Lot Streaming Lot Streaming Lot...

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Lot Streaming Lot Streaming

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Lot Streaming Lot Streaming Lot streaming is a term used to describe the splitting of a job or lot into sublots or transfer batches so that simultaneous processing of the sublots on different machines can be achieved.
Objective Objective Basic Decisions: Number of sublots Size of each sublot The objective is minimizing the makespan, i.e., the time the last sublot leaves the last machine. It is assumed that a lot goes through a series of m machines. In order to reduce the makespan, lot splitting is considered. Once the last sublot completes its operation on machine m, the lot is then reconfigured and sent to another place as a complete lot.

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Figure without Lot Splitting Figure without Lot Splitting Operation 1 Operation 2 Operation 3 10 20 30 time No splitting (process batch=transfer batch = 10) Makespan = 30 min.
Figure with Lot Splitting Figure with Lot Splitting Operation 1 Operation 2 Operation 3 10 20 30 time Two equal size sublots (process batch =10, transfer batch = 5) Makespan = 20 min. Transfer 5 Transfer 5 Transfer 5 Transfer 5

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Linear Programming Linear Programming Formulation Formulation n = number of sublots to be formed from the original lot m = number of processes (machines) the lot will go through p i = processing time of one unit of the lot on machine i.
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