Question: Suppose there are three tasks and three workers. A production manager wishes to assign three workers to three tasks (one worker to one task). The
Suppose there are three tasks and three workers. A production manager wishes to assign three workers to three tasks (one worker to one task). The manager has a previous record, showing the defective items producing rate that each worker made for each task, and these estimates are summarized in the following table. Task 1 Task 2 Task 3 Worker 1 0.2 0.6 0.3 Worker 2 0.3 0.4 0.1 Worker 3 0.5 0.3 0.5 Formulate as LP model to minimize the total defect producing rate, completing all three tasks. I just need a LP model, so don't solve this problem. Define your decision variables, then write objective function and constraints. Hint: All decision variables should be binary variables.
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