Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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Chapter 11, Problem 5RP
Explanation of Solution
Finding an optimal solution using Golden Section Search:
The given NLP is as follows:
Here,
So,
Now,
Determine the new lower and upper limits as follows,
Now,
So, for these new limits, we can obtain the function,
Since,
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Which of the following algorithms can be used to find the optimal solution of an ILP?(a) Enumeration method;(b) Branch and bound method;(c) Cutting plan method;(d) Approximation method.
7
Maximize z = 5x₁ + 4x₂
subject to
6x₁ + 4x₂ ≤ 24
X₁ + 2x₂ ≤6
-X₁ + X₂
≤1
X₂
≤2
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Solve the following linear program using the simplex method.
1. Use simple fixed-point iteration to locate the root of f(x) = sin (√) - x
Use an initial guess of xo = 0.5 and iterate until & ≤ 0.01%.
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Operations Research : Applications and Algorithms
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