In this research, the major study is the parallel machine scheduling in a single production stage. Using the Mathematical Programming and according the industry characteristic to create a model that can apply on knitted industry. Also, it adapts the software of Lindo6.1 to implement the model. Then try to using a case to verify this model by minimizing cost and ordering fill rate. In example one, the total costs fell to 475 from 555, the total costs reduces 14% and ordering fill rate is 50%. In example two, the total costs fell to 276 from 1308, the total costs reduces 79% and ordering fill rate increases from 33% to 50% and confirm it feasibility.
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