Batching to Minimize Flow Times on One Machine
研究单台机器上通过分批来最小化流程时间的排序问题,提出了两种分批模型(按项目流和按批次流),给出了单产品情形的最优解和多产品情形的启发式算法与边界。
Machine sequencing formulations typically assume that the characteristics of the job set to be processed are given. However, in many applications, jobs can be batched in different ways. Two types of minimum flow-time sequencing problems with lot sizing are formulated. The “item-flow” formulation is solved giving an index rule for ordering items. The “batch-flow” formulation is solved for the single product case showing that processing is done in unequal batches ordered in decreasing size. Heuristics and bounds are provided for the multiproduct case.