Use the BIP branch-and-bound algorithm to solve the following BIP problem interactively:Maximize Z = 2x₁ - x₂ + 5x3 - 3x4 + 4x5subject to3x₁2x₂ + 7x3 - 5x4 + 4x5 ≤ 6x₁ - x₂ + 2x3 - 4x4 + 2x5 ≤ 0and |xj is binary, for j = 1, 2, 3, 4, 5.

The Binary Integer programming problem given is as follows: Max: Z=2x1-x2+5x3-3x4+4x5subject…

Answered: Use the BIP 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

Similar questions

Consider the linear program max 10x – y s.t. -5x + 3y < 15 Зх — 5у <8 х, у 2 0 Use the simplex method to show that the problem is unbounded. (Show each iteration of the algorithm in the solution.)
Solve using the simplex algorithm.Maximize: 5x1 + 6x2Subject to: x1 + 2x2 ≤ 83x1 + 2x2 ≤ 12x1, x2 ≥ 0
EXERCISE 3. Assume that 2n tennis player play 2n -1 days in a tournament, playing each day one match against a different other player. Show that it is possible to select a winner every day without selecting the same player twice.
max 6x1 – 5r2 + 13 s.t. – r1 – 2x2 + 2r3 –30 I1 >0 I3 urs (a) Convert the LP to standard form. (b) Perform the first two iterations of the Simplex algorithm. Clearly indicate the enter- ing/leaving variables and the basic feasible solutions you find.
Use simplex algorithm to solve the following question. Max 80x1+20x2+20x3 s.t. 10x1+4x2+x3≤50 6x1+2x2+3x3≤24 10x1+4x2+2x3≤18 x1,x2,x3≥0
Question 7: Let D be the region bounded by the two paraboloids z = 2x² + 2y² and z = 2-x² - y². Then the z-limits of integration to find the volume of D, using cylindrical coordinates and taking the order of integration as dz dr de, are: a. 2-² ≤z≤r² b. 2r² ≤z≤4-² c. 2r² ≤z≤2-² d. None of the above
Prove the theorem of division algorithm - If a and b are integers such that b>0, then there are unique integers q and r such that a=bq+r with 0sr< b.
Solve the following system of equations using the Gaussian algorithm with column pivoting and backward insertion: 2x2 - 4x3 + x4 = -8x1 + 2x2 + 3x3 - x4 = 3-3x1 + 2x3 + 2x4 = -32x1 + x2 - x4 = 2 Here, column pivoting means that in the respective elimination stepsu. a row swap may be carried out in the respective elimination steps, so that the elimination elementa(m)mm is the largest element of the elimination column in terms of amount.
Suppose the product of x and y is 49 and both x and y are positive. What is the minimum possible sum of x and y?The minimal possible sum is
Identify which BFS are degenerate (if any) and which BFS are non-degenerate. Among all BFS, identify one with largest objective function value.
Mathmatical operation research

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

Use the BIP branch-and-bound algorithm to solve the following BIP problem interactively: Maximize Z= 2x₁x₂ + 5x3 - 3x4 + 4x5 subject to 3x₁2x₂ + 7x3 - 5x4 + 4x5 ≤6 x₁ - x₂ + 2x3 - 4x4 + 2x5 ≤ 0 and xj is binary, for j = 1, 2, 3, 4, 5.