An order for 150 units is processed on work centers A and B. It is decided to over lap A and B by splitting the order in to two lots. The set up time for A is 30 min and runtime is 12 min per piece. The set up time for B is 40 min and runtime is 6 min per piece. Set up on B cannot start until the first batch arrives. There is no wait time between A and B or between B and stores. Move time between A and B is 10 min. The move into stores is 15 min. There is no queue at either station. What is optimal size of the first transfer Batch? [Select] What should be the size of the second batch? [Select] How long will operation A take? [Select] How long will operation B take? [Select] Calculate total manufacturing lead time for the entire process. • SUA = Set up time operation A SUB= Set up time operation B . • RTA = Run time per piece operation A • RTB = Run time per piece operation B . • QT = Total order size T1 = size of the first transfer batch [Select] T₁ > = QTXRTA-SUB RTA+RTB
An order for 150 units is processed on work centers A and B. It is decided to over lap A and B by splitting the order in to two lots. The set up time for A is 30 min and runtime is 12 min per piece. The set up time for B is 40 min and runtime is 6 min per piece. Set up on B cannot start until the first batch arrives. There is no wait time between A and B or between B and stores. Move time between A and B is 10 min. The move into stores is 15 min. There is no queue at either station. What is optimal size of the first transfer Batch? [Select] What should be the size of the second batch? [Select] How long will operation A take? [Select] How long will operation B take? [Select] Calculate total manufacturing lead time for the entire process. • SUA = Set up time operation A SUB= Set up time operation B . • RTA = Run time per piece operation A • RTB = Run time per piece operation B . • QT = Total order size T1 = size of the first transfer batch [Select] T₁ > = QTXRTA-SUB RTA+RTB
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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Step 1: Define manufacturing lead time:
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VIEWStep 4: Calculate the time taken by Operation A:
VIEWStep 5: Calculate the time taken by Operation B:
VIEWStep 6: Calculate total manufacturing lead time:
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