Homework Help is Here – Start Your Trial Now!
Engineering
Computer Science
1 2 2 1 2 1 5 1 3 100 5 4 1 z* ≥ z(Î*) + Σ λ; (d¿(γ) − 2) iЄN -

1 2 2 1 2 1 5 1 3 100 5 4 1 z* ≥ z(Î*) + Σ λ; (d¿(γ) − 2) iЄN -

Programming Logic & Design Comprehensive
Programming Logic & Design Comprehensive
9th Edition
ISBN:9781337669405
Author:FARRELL
Publisher:FARRELL
Chapter4: Making Decisions
Section: Chapter Questions
Problem 9RQ
See similar textbooks
icon
Related questions
Question

Consider the network in the following figure. Edges that are not pictured have a length of ∞.

Image attatched

(a) What is the optimal TSP tour on this network, and what is its total length, z*? What is the optimal 1-tree Tˆ* on this network (“rooted” at node 1), and what is its total length, z(Tˆ*)?

(b) Find the best Held-Karp lower bound you can. That is, find weights to add to one or more nodes so that z* and the right-hand side of the following formula are as close as possible.

z* ≥ z(Tˆ*) + SUM{i∈N}  λi(di(Tˆ*) − 2)     Image attatched

Here Tˆ* is the optimal 1-tree under the revised distance matrix, z(Tˆ*) is its cost and di(Tˆ*) is the degree of node i in 1-tree Tˆ*.

1 2 2 1 2 1 5 1 3 100 5 4 1 z* ≥ z(Î*) + Σ λ; (d¿(γ) − 2) iЄN -
Transcribed Image Text:1 2 2 1 2 1 5 1 3 100 5 4 1 z* ≥ z(Î*) + Σ λ; (d¿(γ) − 2) iЄN -
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 1 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Programming Logic & Design Comprehensive
Programming Logic & Design Comprehensive
Computer Science
ISBN:
9781337669405
Author:
FARRELL
Publisher:
Cengage
EBK JAVA PROGRAMMING
EBK JAVA PROGRAMMING
Computer Science
ISBN:
9781337671385
Author:
FARRELL
Publisher:
CENGAGE LEARNING - CONSIGNMENT
C++ Programming: From Problem Analysis to Program…
C++ Programming: From Problem Analysis to Program…
Computer Science
ISBN:
9781337102087
Author:
D. S. Malik
Publisher:
Cengage Learning
COMPREHENSIVE MICROSOFT OFFICE 365 EXCE
COMPREHENSIVE MICROSOFT OFFICE 365 EXCE
Computer Science
ISBN:
9780357392676
Author:
FREUND, Steven
Publisher:
CENGAGE L
Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
Computer Science
ISBN:
9780534380588
Author:
Wayne L. Winston
Publisher:
Brooks Cole
Systems Architecture
Systems Architecture
Computer Science
ISBN:
9781305080195
Author:
Stephen D. Burd
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS