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1 Throughput, Work-in-Process, and Cycle Time

IEOR 4000: Production Managementpage 1 Professor Guillermo Gallego1 Throughput, Work-in-Process, and Cycle TimeThe purpose of this section is to obtain a basic understanding of the relationship that exists betweenthroughput, work-in process, and Cycle times. We will assume a production system where parts gothrough a specific routing. Thethroughput, denoted byTH, is the average output per unit time, ,number of widgets per hour. The inventory between the start and the end points of a productionsystem (not counting crib inventory or finished goods inventory) is calledwork-in-process(WIP).

In a pull system we would control w to maximize the system. For the above problem, the PUSH profit function becomes pTH −h 5TH 1−TH, while for a pull system the profit function becomes p w 4+w −hw. Drawing this functions reveal that we can make more profit under a pull system, and that it is more robust to errors in the optimal quantities.

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