Northeastern University Quadratic Programming Model Discussion

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pnaobwv

Writing

Northeastern University

Question Description

I don’t know how to handle this Writing question and need guidance.

• A quadratic programming model is an optimization model with n decision variables and m linear constraints, and of the form:Minimize Z=12xTQx+cTxZ=12xTQx+cTx
Subject to: Ax?bAx?b
x?0x?0  Where x is the n by 1 column vector of decision variables and xT is its transpose, Q is an n by n symmetric matrix of the objective parameters, c is an n by 1 vector of additional objective parameters, A is an m by n matrix of constraints parameters, and b is an m by 1 vector of constraints' right hand sides.
1. Explain how quadratic programming is used in the real world. Provide a specific example from your own line of work, or a line of work that you find particularly interesting. Indicate explicitly and qualitatively what Z, x, Q, C, A, and b are in your example.
2. Describe how you would handle solving a quadratic programming problem in which some of the problem parameters are random variables as opposed to being constant values. Make sure that you include a specific example of application in your response.

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First lets define Quadratic Program, the process of solving some
mathematical optimization problems using quadratic functions.
1. Answer - Sample application of Quadratic Program in the real world.
By considering real-world examples of the Quadratic Program, students
have the opportunity to broaden their horizons, establish connections
with future careers, and inspire enthusiasm for applying mathematical
concepts.
Missile launcher or Rocket launcher in Military applications.
Using Quadratic Program to simulate the rocket launch, and use known
equations to determine the maximum height of the rocket or missile, the
time required to reach the maximum height, and the time required for the
rocket or missile to fall into the target. Therefore, you can take
perfect photos in perfect synchronization using the Quadratic Program.
Many factors affect the trajectory and dispersion of a rocket or missile.
There are practical limits to the extent to which many of these factors
can be controlled during the launch process. The quadratic equation helps
to determine all the aspects and considerations to maximize the accuracy
of the rocket or missile to the target. One of the main methods of the
simplest analysis technique of mobile rocket trajectory is to eliminate
the influence of drag and thrust increase. For the strategic choice of a
constant thrust value for each stage, this approximation seems to be
quite good for many rockets within 2%. However, for large rockets, the
thrust increase effect is not only expected to offset the drag effect, so
it may be desirab...

pbcvrqrthmzna (379)
New York University

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