solve this shortest-path problem.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.5: Set-covering And Location-assignment Models
Problem 34P
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One of Speedy Airlines' flights is about to take off from Seattle for a nonstop flight to London.
There is some flexibility in choosing the precise route to be taken, depending upon weather
conditions. The following network depicts the possible routes under consideration, where SE
and LN are Seattle and London, respectively, and the other nodes represent various
intermediate locations.
The winds along each arc greatly
affect the flying time (and so the
fuel consumption). Based on
current meteorological reports, the
flying times (in hours) for this
particular flight are shown next to
the arcs. Because the fuel
SE
4.6
4.7
4.2
A
B
3.5
3.4
3.6 3.2
3.3
3.5 3.4
D
E
F
3.4
3.6
3.8
consumed is so expensive, the management of Speedy Airlines has established a policy of
choosing the route that minimizes the total flight time. Use the Dijkstra's algorithm described in
Sec. 10.3 to solve this shortest-path problem. Show your work of finding the path by using a
table.
(LN)
Transcribed Image Text:One of Speedy Airlines' flights is about to take off from Seattle for a nonstop flight to London. There is some flexibility in choosing the precise route to be taken, depending upon weather conditions. The following network depicts the possible routes under consideration, where SE and LN are Seattle and London, respectively, and the other nodes represent various intermediate locations. The winds along each arc greatly affect the flying time (and so the fuel consumption). Based on current meteorological reports, the flying times (in hours) for this particular flight are shown next to the arcs. Because the fuel SE 4.6 4.7 4.2 A B 3.5 3.4 3.6 3.2 3.3 3.5 3.4 D E F 3.4 3.6 3.8 consumed is so expensive, the management of Speedy Airlines has established a policy of choosing the route that minimizes the total flight time. Use the Dijkstra's algorithm described in Sec. 10.3 to solve this shortest-path problem. Show your work of finding the path by using a table. (LN)
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