Home Hospital Mall Esplanade Pet Shop Home 2.00 km/h 4.00 km/h 3.53 km/h 6.00 km/h Hospital 2.00 km/h 3.53 km/h 3.00 km/h 2.40 km/h Mall 4.00 km/h 3.53 km/h 30.00 km/h 2.40 km/h --- Esplanade 3.53 km/h 3.00 km/h 30.00 km/h 2.22 km/h Pet Shop 6.00 km/h 2.40 km/h 2.40 km/h 2.22 km/h --- Market 20.00 km/h 2.61 km/h 3.33 km/h 3.00 km/h 8.57 km/h

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

[2B] (Please type and draw your answers digitally).The given table below (1st picture) shows the 5 different places that you would like to visit on a particular day. The table below shows the estimated distance (in kilometers per hour) it takes you to travel from one place to another. If you will visit each of these places exactly once, determine the shortest time possible it would take you to do using the Edge-Picking Algorithm. Example (2nd photo) already provided in the photos below

 

H.
Grocery
Video rental
Home
Post office
store
store
Bank
Required answer:
Home
14
12
20
23
12
Post office
8
12
21
14
23
12
17
Grocery
store
26
G
Video rental
20
12
17
18
store
Bank
23
21
11
18
17
21
\11
12
NOTE: THIS IS ONLY A
SAMPLE
18
Required answer:
Applying the Edge Picking Algorithm, we find the following Hamiltonian circuit with the
minimum weight (in minutes): HV – VP – PG – GB – BH, or HVPGBH
The obtained minimum time is: 20 + 12 + 8 + 11 + 23 = 74 minutes.
|
|
%3D
14
Transcribed Image Text:H. Grocery Video rental Home Post office store store Bank Required answer: Home 14 12 20 23 12 Post office 8 12 21 14 23 12 17 Grocery store 26 G Video rental 20 12 17 18 store Bank 23 21 11 18 17 21 \11 12 NOTE: THIS IS ONLY A SAMPLE 18 Required answer: Applying the Edge Picking Algorithm, we find the following Hamiltonian circuit with the minimum weight (in minutes): HV – VP – PG – GB – BH, or HVPGBH The obtained minimum time is: 20 + 12 + 8 + 11 + 23 = 74 minutes. | | %3D 14
Home
Hospital
Mall
Esplanade
Pet Shop
Home
2.00 km/h
4.00 km/h
3.53 km/h
6.00 km/h
Hospital
2.00 km/h
3.53 km/h
3.00 km/h
2.40 km/h
Mall
4.00 km/h
3.53 km/h
30.00 km/h 2.40 km/h
---
Esplanade
3.53 km/h
3.00 km/h 30.00 km/h
2.22 km/h
Pet Shop
6.00 km/h
2.40 km/h
2.40 km/h
2.22 km/h
---
Market
20.00 km/h 2.61 km/h
3.33 km/h
3.00 km/h
8.57 km/h
Transcribed Image Text:Home Hospital Mall Esplanade Pet Shop Home 2.00 km/h 4.00 km/h 3.53 km/h 6.00 km/h Hospital 2.00 km/h 3.53 km/h 3.00 km/h 2.40 km/h Mall 4.00 km/h 3.53 km/h 30.00 km/h 2.40 km/h --- Esplanade 3.53 km/h 3.00 km/h 30.00 km/h 2.22 km/h Pet Shop 6.00 km/h 2.40 km/h 2.40 km/h 2.22 km/h --- Market 20.00 km/h 2.61 km/h 3.33 km/h 3.00 km/h 8.57 km/h
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