Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
Bartleby Related Questions Icon

Related questions

Question
You need to take a trip by car to another town that you have never visited before. Therefore,
you are studying a map to determine the shortest route to your destination. Depending on
which route you choose, there are five other towns (call them A, B, C, D, E) that you might pass
through on the way. The map shows the mileage along each road that directly connects two
towns without any intervening towns. These numbers are summarized in the following table,
where a dash indicates that there is no road directly connecting these two towns without going
through any other towns.
Town
Origin
A
B
C
D
E
A
40
Miles between Adjacent Towns
C D E
B
60
10
50
20
- 70 55 -
88811
40
50
10
Destination
| | || 88
60
80
(a) Formulate this problem as a shortest-path problem by drawing a network where nodes
represent towns, links represent roads, and numbers indicate the length of each link in
miles.
(b) Use the Dijkstra's algorithm to solve this shortest path problem. Illustrate your work by
using a table.
(c) If each number in the table represented your cost (in dollars) for driving your car from one
town to the next, would the answer in part (b) now give your minimum cost route?
(d) If each number in the table represented your time (in minutes) for driving your car from one
town to the next, would the answer in part (b) now give your minimum time route?
expand button
Transcribed Image Text:You need to take a trip by car to another town that you have never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you choose, there are five other towns (call them A, B, C, D, E) that you might pass through on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, where a dash indicates that there is no road directly connecting these two towns without going through any other towns. Town Origin A B C D E A 40 Miles between Adjacent Towns C D E B 60 10 50 20 - 70 55 - 88811 40 50 10 Destination | | || 88 60 80 (a) Formulate this problem as a shortest-path problem by drawing a network where nodes represent towns, links represent roads, and numbers indicate the length of each link in miles. (b) Use the Dijkstra's algorithm to solve this shortest path problem. Illustrate your work by using a table. (c) If each number in the table represented your cost (in dollars) for driving your car from one town to the next, would the answer in part (b) now give your minimum cost route? (d) If each number in the table represented your time (in minutes) for driving your car from one town to the next, would the answer in part (b) now give your minimum time route?
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Computer Science
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
Text book image
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
Text book image
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
Text book image
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
Text book image
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Text book image
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education