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 20P
Summary Introduction
Interpretation: The sequence to be followed by the ships in unloading to minimize the expected weighted time.
Concept Introduction:
Optimal sequence: It is supposed to be a sequence or series of jobs that must take place to minimize the idle time and at the same time all the jobs are completed.
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Six ships are docked in a harbor awaiting unloading. The times required to unload the ships are random variables with respective means of 0.6, 1.2, 2.5, 3.5, 0.4, and 1.8 hours. The ships are given a priority weighting based on tonnage. The respective tonnages are 12, 18, 9, 14, 4, and 10. In what sequence should the ships be unloaded in order to minimize the expected weighted time?
The maintenance department of an Oil and Gas Company has 6 large drilling equipment waiting for repairs. These are labelled A, B, C, D, E and F. The respective repair times (in days) and the remaining days before the due date are given in the table below.
Airline Scheduling. Alpha Airline wishes to schedule no more than one flight out of a given airport to each of the following cities: C, D, L, and N. The available departure slots are 8 a.m., 10 a.m., and 12 noon. Alpha leases the airplanes at the cost of $5000 before and including 10 a.m. and $3000 after 10 a.m., and is able to lease at most two per departure slot. Also, if a flight leaves for location N in a time slot, there must be a flight leaving for location L in the same time slot. The expected profit (in $1000) contribution before rental costs per flight is shown in the table below.
Time Slot
8
10
12
C
10
6
6
D
9
10
9
L
14
11
10
N
18
15
10
a) Formulate an integer linear program model that can be used to find the profit-maximizing schedule. Define your decision variables as Xij = 1 if a flight to destination i occurs in time slot j and Xij = 0 otherwise; and Yj = number of airplanes rented for time slot j. Write the objective function and all the constraints.
b)…
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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