John is travelling from home in Sydney to a hotel in Perth. Three stopovers on the way a number of choices of towns for each stop only one hotel to choose from in each town, except for Perth, where there are three hotels (J, K, and L) to choose from Each trip has a different distance resulting in a different cost (petrol) (cost is marked by each arc) Hotels have different costs (cost is marked by each node (town)) The goal is to select a route to and a hotel in Perth so that the overall cost of the trip is minimized. Use dynamic programming (forward recursion) to solve this problem by constructing the usual tables for each stage. Stage: (Sydney) Petrol cost start 22 8 Hotel cost 1 70 A 80 B C 80 25 10 2 50 D FR E 70 25 30 10 18 8 3 50 70 G 70 H I 60 8 20 10 10 10 10 50 4 (Perth) 15 13 K 10 15 L 60 70
John is travelling from home in Sydney to a hotel in Perth. Three stopovers on the way a number of choices of towns for each stop only one hotel to choose from in each town, except for Perth, where there are three hotels (J, K, and L) to choose from Each trip has a different distance resulting in a different cost (petrol) (cost is marked by each arc) Hotels have different costs (cost is marked by each node (town)) The goal is to select a route to and a hotel in Perth so that the overall cost of the trip is minimized. Use dynamic programming (forward recursion) to solve this problem by constructing the usual tables for each stage. Stage: (Sydney) Petrol cost start 22 8 Hotel cost 1 70 A 80 B C 80 25 10 2 50 D FR E 70 25 30 10 18 8 3 50 70 G 70 H I 60 8 20 10 10 10 10 50 4 (Perth) 15 13 K 10 15 L 60 70
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
Related questions
Question
Expert Solution
Step 1
To find:
The route and hotel in Perth so that the overall cost is minimized.
Given:
The number of stage is 4.
The Hotel cost is in red and petrol cost is in black.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.