We consider the Traveling Salesman Problem with the cost matrix0 87 1 51086 37 10 159 2 70 58 2620and apply Little's branch and bound algorithm.What is the initial lower bound on possible solutions at the very first stepof the algorithm?Which edge (which entry of the cost matrix) is used for the firstinclusion/exclusion branching? Enter the indices of vertices at both endpoints of this edge without any separators between them.(For example,if the edge (12) (or,in other words,the matrix entry c12) ischosen for inclusion/exclusion, enter 12 in the text box.)What is the lower bound on the solutions in the exclusion branch (after thefırst inclusion/exclusion branching)?

1 2 3 4 5 1 ∞ 8 7 1 5 2 1 ∞ 8 6 3 3 7 1 ∞ 1 5 4 9 2 7 ∞ 5 5 8 2 6 2 ∞ Answer for sub…

Answered: We consider the Traveling Salesman…

We consider the Traveling Salesman Problem with the cost matrix 0 87 1 5 1086 3 7 101 5 9 2705 8 26 2 0 and apply Little's branch and bound algorithm.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Suppose that a message is encrypted using a Hill Cipher with matrix 1 А — -1 If the message begins…

Q: What is the product of following matrix using Strassen's matrix multiplication algorithm? 8. 4 A B =…

A: In this question, concept of Strassen's matrix multiplication algorithm is applied. Strassen's…

Q: 10. From Gaussian elimination, one obtains M3M,M, A = U, where U is upper triangular. If A = LU,…

Q: 4. (a) Suppose that U = (uj) is an n × n upper triangular matrix. Write down the back substitution…

Q: The following tableau was obtained after several steps of the simplex algorithm in a standard linear…

A: From the given tableau we can say that, All the entries are non negative which is for maximization…

Q: 1 2 0 Next, let A 4 4 1 We can use Gauss elimination with two 0 8 2 steps (and no row exchanges) to…

Q: 3. Let A be a 2 x 3 matrix, B a 3 × 4 matrix, and C a 4 x 5 matrix. The triple product ABC can be…

Q: 25. Use Algorithm 1 to find the transitive closures of these relations on {1, 2, 3, 4}. a) {(1, 2),…

Q: and

A: according to guidelines we can solved only first question thank you. According to given…

Q: 3. Apply the Modified Gauss-Jordan Algorithm to the following systems, and find their solution…

Q: 1. Which system corresponds to the following augmented matrix? 1 11 6 4 0 -2 O x1 + 11x2 = -3 9x1 +…

A: We have to find system for given augmented matrix.

Q: Suppose that the method of least squares is used to find the best-fit line through the following set…

Q: hat is the worst-case running time complexity of matrix addition? Select one: a. O(nˆ2.5) b. O(nˆ2)…

A: worst-case running time complexity of matrix addition

Q: 22. Given the matrices below, and considering Strassen's algorithm: A B 1 2 3 4 0121 01 011 103 1 -1…

A: Solution: It is given that A and B are 4×4 matrices. A…

Q: uninfected lightly infected highly infected column sum eaten by birds 1 10 37 48 not eaten by birds…

A: Chi square test for independence is used to test the association between the two variables.

Q: Find a least-squares solution of the inconsistent system Ax= b. 1 2 3 A = 3 4 b = 5 9 2 |“|“目“|| O…

A: Solution

Q: B/ Put the following program in matrix standard form Min (z) = 10x₁+11x2 S.T. X₁+2x₂ ≤ 150 3x₁+4x₁ ≤…

A: Solution :-

Q: b) Use Algorithm 2.24 to solve the system of linear equations (90-0 1 10 = 3 1 1 1 10 6

A: Given is a system of linear equations in the form AX=B, where A is a lower triangular matrix.…

Q: 10. Consider the following matrices: A = 13 0 1 3-5 1]. B A² BA CA DA 10-1 215 -3 4], C-[|-||---|| 0…

Q: X1 + 2x2 + 3x3 = 4 4x1 + 5x2 + 6x3 = 10 7x1 + 8x2 + 9x3 = 14 %3D PLEASE SHOW THE MATHLAB CODE…

A: %MATLAB CODE FOR GAUSS ELIMINATION WITH PIVOTINGclcclear allclose all%Matlab Code for Gauss…

Q: A transversal of an n × n matrix is a collection of n entries where no two are in the same row and…

Q: 4 Find the least-squares line given the matrix products AT A = 30 and 30 378 985.5 ATb 10318.2 = Ex:…

A: To find: Least-squares line with ATA=43030378 and ATb=985.510318.5

Q: B/ Put the following program in matrix standard form Min (z) = 10x₁+11x2 S.T. X₁+2x₂ ≤ 150 3x₁+4x₁ ≤…

A: Given Min z=10x1+11x2S.T.x1+2x2≤1503x1+4x2≤20036x1+x2≤175x1, x2≥0 which can be written as Min…

Q: 2.a Lineal Algebra Please provide a well explained solution for the following. what is the size…

A: SIze of a Matrix : Size of the matrix is represented as the number of rows multiply the number of…

Q: -2 -1 -2 -4 4 -6 -5 -4 -4 Answer / compute the following. 7 7 -7 -5 -6 -9 6. Let M = 10 10 -13 10 -4…

Q: Show that the number of basic variables in an (m × n) transport table is m + n - 1.

A: We have to shown that the number of basic variables in an (m × n) transport table is m + n - 1.

Q: b) Use Algorithm 2.24 to solve the system of linear equations (0-0 16 110 X2 = 3 1 1 1 X3 10 6

A: Given : 100110111x1x2x3=136 To Find : Solution of Linear equations

Q: Write down the dual of this LP. Solve this LP using the two-phase simplex algorithm.

Q: Please solve and show all steps and work for problem circled in red.

A: answer is given belowExplanation:Step 1: Step 2: Step 3: Step 4:

Q: 5. Consider the matrix 1 3 5 A = 18 18 18 5 3 1 Is A invertible? Justify your answer.

A: Given, A=135181818531A is invertible if and only if its determinantA≠0.

Q: Express the following optimization problem as a standard linear program in matrix notation max zER?,…

A: Since I have solved similar ones ,let us write the given problem in matrix form

Q: The matrix A can be factored as A = PDP-¹ where D = - •[17]+²]· If * = 6 [3 0 -4 = [8] and P=[1₂1]…

A: The matrix A can be factored as where and .If Let the eigenvectors of matrix A corresponding to…

Q: 9) If A is n x n matrix, what is the cost of calculating 3A3 2A

A: Given: If A is n x n matrix, the objective is to find the cost of calculating 3A2-2A

Q: This is Matrix A -2 1 1 3 2 1 1 2 1 1 1 2 -2 1 5 A = 3 1 1 -1 1 2 1 5 1 1. a) find its upper and…

A: a) Given matrix is A=-211321121112-215311-1121511 To decompose a matrix using Cholesky…

Q: Is matrix A = [100 6 3 07 00 157 0 0 1 0 24 0 0 0 0 0 0 1 in RREF (Reduced Row Echelon Form)? If…

A: A matrix is in reduced row echelon form (RREF) if it satisfies the following: In each row, the…

Q: 11. Use the coding matrix A= O A. ACTS O B. ARMS O C. ABLE O D. ALAS 1-4 -2 and its inverse A¹ = -1…

Q: a) y" = -3y + 2y +2x+3, 0≤x≤1, y(0) = 2, y(1) = 1 use h = 0.2. b) y" = (x+1)y' + 2y + (1-x²)e-*,…

A: To approximate the solution of the differential equation using the linear finite difference…

Question

We consider the Traveling Salesman Problem with the cost matrix
0 87 1 5
1086 3
7 10 15
9 2 70 5
8 2620
and apply Little's branch and bound algorithm.
What is the initial lower bound on possible solutions at the very first step
of the algorithm?
Which edge (which entry of the cost matrix) is used for the first
inclusion/exclusion branching? Enter the indices of vertices at both end
points of this edge without any separators between them.
(For example,if the edge (12) (or,in other words,the matrix entry c12) is
chosen for inclusion/exclusion, enter 12 in the text box.)
What is the lower bound on the solutions in the exclusion branch (after the
fırst inclusion/exclusion branching)?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Determinant$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Solve the following systems of equations using a valid elimination algorithm, include all the elementary line operations that you used to solve it, then check that your result is correct, using another method (it can be computational). Write the solution vector. note: Do everything that is asked above (in the image are the equations and the matrix)
15. Each matrix below represents a transformed augmented matrix at some point in the process of using the Gauss-Jordan method. For each matrix, state and perform a row operation that will change the number in parentheses to either a 0 or 1 and transform the matrix so that it is closer to reduced row echelon form. (Describe each suggested row operation in words, such as “Multiply row 2 by 3 and add it to row 3 to create a new row 3", or in symbols, such as “3R2 + R3 →R3".) a) 2 0 0 1 -1 2 (-2) 1 -2 0 0 (2) -1 2 b) 3 0 (1)| 0 с) 1 -1| 2 1 |-2
Can you clearly show the steps to get the nullspace of A = [1 2 3;2 4 6;1 3 4]?
3.9. Is the reduced echelon form of a matrix unique? Justify your conclusion. Namely, suppose that by performing some row operations (not necessarily fol- lowing any algorithm) we end up with a reduced echelon matrix. Do we always end up with the same matrix, or can we get different ones? Note that we are only allowed to perform row operations, the "column operations"' are forbidden.
Consider the matrix 000 1 0 303 00 55 2 50 7 5 2 1 0 6 2 2 40 What is the minimum number of horizontal/vertical lines needed to cover all the zero entries? 3. 1. 2. 5. 4.
Solve the following system using the Gaussian algorithm: 2x1 - x2 + 3x3 = 0 -2x1 + x2 - X3 = -2 x1 - 3x2 + 6x3 = 3 Let x be the vector x = |x2, where x1, x2 and x3 are solutions of the system, and y be the vector y =|1 Evaluate the scalar product of x and y. [Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.] Answer:
7. What are the correct steps to transform the augmented matrix of the following system of equations into reduced echelon form using the Gauss-Jordan elimination algorithm? SHOW WORK, STEP BY STEP. -3x - 6y = 6 -2x + 5y = 4
Q1// Solve the following assignment matrix which lead to reduced costs with the total cost calculation. (Using Hungarian Method) Machine Worker M1| M2 | Мз | М4 W1 6. 8 9 3 W2 10 7 8 13 W3 9 2 13 15 W4 10 4 7 8
Question 4. Suppose your linear code C € V(10, 11) is given by [x1,x2,...,x10] € C if x₁ + x10 = 0, + x₁ + 2x₂ + (a) Find a parity check matrix. + 10x10 = 0.