Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 9.8, Problem 22P
Summary Introduction
Interpretation: The sequence required to be implemented to minimize the total expected time that is required for fittings and styling is to be determined.
Concept Introduction:
Optimal sequence: It is supposed to be sequences or series of jobs that have to take place to minimize the idle time and at the same time all the jobs are completed.
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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?
Joan has a small design and tailoring shop making custom outfits for women. She has two employees. Each employee only begins working on a dress when a customer order has
been received and then she makes the dress from beginning to end. The average production time of a dress is 1.8 days, with a standard deviation of 2.1 days. Historically, Joan has
been receiving orders with interarrival times of one day on average. The interarrival times of orders have a coefficient of variation of one.
(Carry at least 4 decimal places in all intermediate calculations. Round your final answer to 2 decimal places.)
What is the expected waiting time, in days, between when an order is received and when production begins on the dress?
A. 9.12 days B. 6.50 days C. 1.23 days D.3.41 days
An average of 40 jobs per day arrive at a factory. Thetime between arrivals of jobs is exponentially distributed.The factory can process an average of 42 jobs per day, andthe time to process a job is exponentially distributed.a What is the probability that exactly 180 jobs arriveat the factory during a 5-day period?b On the average, how long does it take before a jobis completed (measured from the time the job arrives atthe factory)?c What fraction of the time is the factory idle?
d What is the probability that work on a job will be-gin within 2 days of its arrival at the factory?
Chapter 9 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 9.5 - Prob. 1PCh. 9.5 - Prob. 2PCh. 9.5 - Prob. 3PCh. 9.5 - Prob. 4PCh. 9.5 - Prob. 5PCh. 9.6 - Prob. 6PCh. 9.6 - Prob. 7PCh. 9.6 - Prob. 8PCh. 9.6 - Prob. 9PCh. 9.6 - Prob. 10P
Ch. 9.7 - Prob. 11PCh. 9.7 - Prob. 12PCh. 9.7 - Prob. 13PCh. 9.7 - Prob. 14PCh. 9.7 - Prob. 15PCh. 9.7 - Prob. 16PCh. 9.7 - Prob. 17PCh. 9.8 - Prob. 18PCh. 9.8 - Prob. 19PCh. 9.8 - Prob. 20PCh. 9.8 - Prob. 21PCh. 9.8 - Prob. 22PCh. 9.9 - Prob. 23PCh. 9.9 - Prob. 24PCh. 9.9 - Prob. 25PCh. 9.10 - Prob. 27PCh. 9.10 - Prob. 28PCh. 9.10 - Prob. 29PCh. 9 - Prob. 30APCh. 9 - Prob. 31APCh. 9 - Prob. 32APCh. 9 - Prob. 33APCh. 9 - Prob. 34APCh. 9 - Prob. 35APCh. 9 - Prob. 36APCh. 9 - Prob. 37APCh. 9 - Prob. 38APCh. 9 - Prob. 39APCh. 9 - Prob. 40APCh. 9 - Prob. 41APCh. 9 - Prob. 42APCh. 9 - Prob. 43APCh. 9 - Prob. 44APCh. 9 - Prob. 45APCh. 9 - Prob. 46APCh. 9 - Prob. 47AP
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