Five sorority sisters plan to attend a social function. Each requires hair styling andfitting for a gown. Assume that the times required are independent exponentiallydistributed random variables with the mean times for the fittings of 0.6, 1.2, 1.5,0.8, and 1.1 hours, respectively, and mean times for the stylings of 0.8, 1.6, 1.0,0.7, and 1.3 hours, respectively. Assume that the fittings are done before thestylings and that there is only a single hair stylist and a single seamstress available.In what sequence should they be scheduled in order to minimize the total expectedtime required for fittings and stylings?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section10.6: The Effects Of Input Distributions On Results
Problem 28P
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Five sorority sisters plan to attend a social function. Each requires hair styling and
fitting for a gown. Assume that the times required are independent exponentially
distributed random variables with the mean times for the fittings of 0.6, 1.2, 1.5,
0.8, and 1.1 hours, respectively, and mean times for the stylings of 0.8, 1.6, 1.0,
0.7, and 1.3 hours, respectively. Assume that the fittings are done before the
stylings and that there is only a single hair stylist and a single seamstress available.
In what sequence should they be scheduled in order to minimize the total expected
time required for fittings and stylings?

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