You have been asked to help
plan the productino on two assembly lines where six different
products are assembled. The two lines are identical and the demand
rate (Dj) per day, production rate (Qj) per day, holding cost (hj),
setup cost (cj) and setup time (sj) for each product is as
follows:
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Show transcribed image text You have been asked to help plan the production on two assembly lines where six different products are assembled. The two lines are identical and the demand rate D) per day, production rate ( per day, holding cost (h,), setup cost (c and setup time (s) for each product is as follows: Line 1 Line 2 Product Demand rate D Production rate ( Holding cost (h) Setup time (s) Setup cost (c) A B C DE 30 30 4030 40 11 664 4 0.25 0.25 22 1400 1400 57.5 87.5 700 700 While the production rates of each product are identical for both lines, the setup time (and hence cost, which is simply proportional to the setup time) depends on the sequence of how they are assembled. Specifically, the setup time is given as follows: Setup Time for Product Days A 0.00 4.00 0.25 0.25 1.50 1.50 B 4.00 0.00 0.25 0.25 150 1.50 C 4.00 4.00 0.00 0.00 2.00 2.00 D 4.00 4.00 0.00 0.00 2.00 2.0O 5.00 5.00 0.25 0.25 0.00 2.00 F 5.00 5.00 0.25 0.25 2.00 0.0O Come up with a plan for this production system. This is very open-ended that requires you to draw on material from throughout the semester. However, we will be looking for the following components: a) b) c) A formulation of the problem as an optimization problem. You need to justify the formulation and make sure you clearly state and understand all assumptions. Solution to the problem using appropriate techniques. This will depend on your formulation but will likely involve some simplifications and heuristics. Quantification of how you have improved the performance of the system.
You have been asked to help plan the production on two assembly lines where six different products are assembled. The two lines are identical and the demand rate D) per day, production rate ( per day, holding cost (h,), setup cost (c and setup time (s) for each product is as follows: Line 1 Line 2 Product Demand rate D Production rate ( Holding cost (h) Setup time (s) Setup cost (c) A B C DE 30 30 4030 40 11 664 4 0.25 0.25 22 1400 1400 57.5 87.5 700 700 While the production rates of each product are identical for both lines, the setup time (and hence cost, which is simply proportional to the setup time) depends on the sequence of how they are assembled. Specifically, the setup time is given as follows: Setup Time for Product Days A 0.00 4.00 0.25 0.25 1.50 1.50 B 4.00 0.00 0.25 0.25 150 1.50 C 4.00 4.00 0.00 0.00 2.00 2.00 D 4.00 4.00 0.00 0.00 2.00 2.0O 5.00 5.00 0.25 0.25 0.00 2.00 F 5.00 5.00 0.25 0.25 2.00 0.0O Come up with a plan for this production system. This is very open-ended that requires you to draw on material from throughout the semester. However, we will be looking for the following components: a) b) c) A formulation of the problem as an optimization problem. You need to justify the formulation and make sure you clearly state and understand all assumptions. Solution to the problem using appropriate techniques. This will depend on your formulation but will likely involve some simplifications and heuristics. Quantification of how you have improved the performance of the system.