Question: Solve the following integer linear program using branch-and-bound with Best-First Search. Branch on 21 first. Show the branch-and-bound tree. You may solve the LP sub-problems

Solve the following integer linear program using branch-and-bound with Best-First Search. Branch on 21 first. Show the branch-and-bound tree. You may solve the LP sub-problems by any means.
min 3x14x2+5x3
s.t. 1+2+3?5
T32x22
21+4x24
T1, T2, T3 EZ,>0

Step by Step Solution

★★★★★

3.42 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

BranchandBound Tree Level 1 Branch on x1 Node 1 x1 0 x2 0 x3 5 Node 2 x1 1 x2 0 x3 4 Lev... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

A decision graph is a generalization of a decision tree that allows nodes (i.e., attributes used for splits) to have multiple parents, rather than just a single parent. The resulting graph must still...

Use Branch and Bound method to solve the following Integer linear programming problem Minimize Z=9*x1+10*x2 subject to x1 9, x2 8, 4*x1+3*x2 40 x1, x2 0 and are integers

Consider the following time series: t 1 2 3 4 5 6 7 yt 120 110 100 96 94 92 88 A. Construct a time series plot. What type of pattern exists in the data? B. Use excel solver or lingo to find the...

How would you reply to this post? Let us tackle this in two stages. First, we will figure out how much you will accumulate over 20 years by setting aside $200 each month, with a 6% annual interest...

Solve the following integer linear program using branch-and-bound with Best-First Search. Branch on x1 first. Show the branch-and-bound tree. You may solve the LP sub-problems by any means....

Please give a step by step solution. Solve the following integer programming problem using branch-and-bound technique. Maximize Z=10x1+20x2 subject to 6x1+8x248,x1+3x212,x1,x20 and integers

using excel a) Resolve the following two systems of equations firstly using Excel's matrix functions ("MMULT" and "MINVERSE"), and secondly using Solver. Compare the results obtained from the matrix...

Solve the following integer linear program: subject to: and What are the optimal values of and ? Show complete solution. a. x1 = 2, x2 = 2 b. x1 = 1, x2 = 3 c. x1 = 0, x2 = 3 d. x1 = 3, x2 = 2 e. x1...

Question 2 (14 marks) Consider the following integer linear program (ILP): max 100.x1 + 64.x2 s.t 50x1 +31x2 -4 X1, C2 > 0 11, 12 E Z (a) By using the graphical method, solve the linear program that...

Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A , B and C . The labor - hour requirements, by department, are: DepartmentProduct 1...

Just Dew It Corporation reports the following balance sheet information for 2017 and 2018 JUST DEW IT CORPORATION 2017 and 2018 Balance Sheets Assels 2017 2018 2018 Liabilities and Owners' Equity...

Identify a potential trade opportunity ,which you will be expected to research in order to justify the proposed trade and to provide the investors an overview of its potential,including...

Comprehension: Wooden chair manufacturing is a huge business for families living in the outskirts of Moradabad, Uttar Pradesh. These families, around a hundred in number, have been making wooden...

Consider a processing center that can be purchased at $25000 today and will have a 10 years of useful lifetime, in the end of which the processing center is expected to have a salvage value of $5000....

The Hope Manufacturing Co. uses a Raw and In Process (RIP) inventory account and expensed all conversion costs to the cost of goods sold account. At the end of each month, all inventories are...

Explain what stable data responding say about the environmental conditions under which it occurred. Identify (2) reasons why an investigator should be concerned about trends in the data that have no...

1 . Explain the link between policy implementation and program design. ( 1 0 )

Use Stokes' Theorem to evaluate f(y+sin x) dx+(z+cos y) dy+rdz, where C is the rve r(t) = (sint, cost, sin 2t), t = [0, 2].

On February 2, 2012, Alexandra purchases a personal computer for her home. The computer cost $3,000. Alexandra uses the computer 80 percent of the time in her accounting business, 10 percent of the...

Leslie and Leon Lazo are married and file a joint return for 2012. Leslie's Social Security number is 466-47-3311 and Leon's is 467-74-4451. They live at 143 Snapdragon Drive, Reno, NV 82102. For...

For each of the following cases, indicate the filing status for the taxpayer(s) for 2012 using the following legend: A - Single B - Married, filing a joint return C - Married, filing separate returns...

Compute the 90% confidence interval estimate for the population proportion, p, based on a sample size of 100 when the sample proportion, , is equal to 0.40.

A decision maker is interested in estimating the mean of a population based on a random sample. She wants the confidence level to be 90% and the margin of error to be 0.30. She does not know what...

Construct a 98% confidence interval estimate for the population mean given the following values: