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A manufacturer produces a variety of integrated circuits. The cost of setting up to produce a lot of one particular type of integrated circuit is $4,000. The variable production cost is estimated to be $8. By collaborating with its customers, the manufacturer estimates that the demand during the next 8 months will be as follows: 15,000; 24,000; 20,000; 10,000; 5,000; 5,000; 20,000; and 4,000 units. The holding cost rate is .24 on an annual basis. Assume production times are small compared to the length of a month.
Determine the optimal periods in which lots should be produced and the size of the corresponding production batches. Suppose that there are 5000 circuits on hand initially and that it is desired to have at least 4,000 units on hand at the end of the eighth month.
Solve the problem using the Wagner–Whitin algorithm, the Wagelmans–Hoesel–Kolen algorithm, the Silver–Meal heuristic, and the least unit cost heuristic.
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An analysis of the holding costs, including the appropriate annual holding cost rate.
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