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The ABC company has recently received a significant contract to manufacture four different types of components. After 13 weeks, there will be an evaluation to
The ABC company has recently received a significant contract to manufacture four different types of components. After 13 weeks, there will be an evaluation to ensure that they have met the necessary standards in terms of delivery and quality. If their performance is deemed acceptable, there will be discussions about a potential long-term contract. Every Friday, the customer will communicate their product demand for the upcoming week to ABC. The customer employs a just-in-time production system and requires 10 percent of the weekly demand for each product to be delivered twice daily over a five-day workweek. The only assurance offered ahead of time is that the weekly order quantity for each product will be within the limits shown in Table 1. It is believed that the demands for different parts are independent and follow a uniform distribution across the allowable range. All four types share a similarity in that they necessitate the identical sequence of 10 operations, denoted as OP1 to OP10. The standard time required for each of these operations in seconds is detailed in Table 2. The IP column shows technological constraints (immediate predecessor operations). The table further provides weighted average operation times for the processes, where the weights are determined based on the average demand. Since many of the operations are controlled by the machine's pace, it is unlikely that we will see substantial reductions in operation time due to learning over the 13-week period. The equipment is small, yet several of the operations demand sophisticated and specialized apparatus. The customer has agreed to provide ABC with one machine of each type, which will be used for manufacturing and testing the four different product types. Considering the delivery requirements and equipment availability, the company wants to establish a mixed-product assembly line. Since there's only one unit of each machine available, a decision should have made that each workstation will handle the same set of operations for all four product types. The company expects you to design an assembly line to meet the demand. In that case, how would you handle the demand uncertainty? How would you deal with the multiple types of products in your assembly line? Construct a math model for your assembly line and solve it with Open Solver. State your approaches and assumptions clearly. Show your solutions and explain the results. You can assume that the company policy is for 37.5 hours of scheduled work per 40-hour week (two 10-minute breaks and a 10-minute department meeting are planned each day)
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