+61-413 786 465

info@mywordsolution.com

## Engineering

 Civil Engineering Chemical Engineering Electrical & Electronics Mechanical Engineering Computer Engineering Engineering Mathematics MATLAB Other Engineering Digital Electronics Biochemical & Biotechnology

Advanced Computational Techniques in Engineering Assignment - Optimisation

For this assignment, you are required to carry out the process of attempting to solve different optimisation problems. For each question, you are required to report your results in details.

Question 1 - Suppose a linear equation is to be fit predicting raw material price as a linear function of the quantity of product A and produce B (made of the same raw material) sold given the following data:

 Price of raw material Quantity of product A sold Quantity of product B sold 5 9 1 2 13 8 9 17 3 10 8 5 4 10 9 6 15 2

Assume the prediction equation is yi = c1x1i + c2x2i, where c1, c2 are the prediction parameters on the quantity of products A and B sold, respectively, and c0 is the intercept. Define x1i, x2i as the observations on the quantity of products A and B sold, respectively, and yi as the observed price. I identifies the ith observation.

(1) Suppose the desired criterion for equation fit is that the fitted data exhibit minimum of the largest absolute deviation between the raw material price and its prediction.

Please define a LP model to minimize the largest absolute deviation.

Write down the tabular form of the formed LP problem.

Solve the formed LP problem using the MATLAB function-linprog.

(2) Suppose the desired criteria for equation fit is that the fitted data exhibit minimum sum of the squared deviations between the raw material price and its prediction. You are then asked to solve the formed least square (LS) problem.

Write down the linear system equation (Ax=B) of the LS problem.

Solve the LS problem using the normal equations approach.

Question 2 - You have certain types of chicken wire to build a temporary enclosure for holding chicken at your backyard. You plan to build a rectangular enclosure (see Figure 1) You have 50m of Type-1 chicken wire, and you want to maximise the area of the enclosure for your given materials.

Please find the lengths of rectangular sides x1, x2 using the Lagrange Multipliers method. (suggestion: consider a two dimensional (2D) optimisation procedure)

Please find the rectangular sides x1, x2 using the Golden Section Search method. Please provide your matlab code. (Suggestion: please convert the 2D optimisation problem to a 1D optimisation problem using the relationship: 2*(x1+x2) = 50 → x2 = 25-x1.

Electrical & Electronics, Engineering

• Category:- Electrical & Electronics
• Reference No.:- M93122247

Have any Question?

## Related Questions in Electrical & Electronics

### Question 1 in the voltage regulator circuit in figure p221

Question 1: In the voltage regulator circuit in Figure P2.21, V 1 = 20 V, V Z = 10 V, R i = 222Ω and P z (max) = 400 mW. (a) Determine I L, I z , and I L , if R L = 380Ω. (b) Determine the value of R L , that will establ ...

### 1 a name the three major groups of contamination and

1. (a) Name the three major groups of contamination and briefly describe their physical characteristics. (b) Where do the above contamination types come from? Give one example of each. 2. Name two processes metrics which ...

### Advanced computational techniques in engineering assignment

Advanced Computational Techniques in Engineering Assignment - Optimisation For this assignment, you are required to carry out the process of attempting to solve different optimisation problems. For each question, you are ...

### Problem 1given a sequence xn for 0lenle3 where x0 1 x1 1

Problem # 1: Given a sequence x(n) for 0≤n≤3, where x(0) = 1, x(1) = 1, x(2) = -1, and x(3) = 0, compute its DFT X(k). (Use DFT formula, don't use MATLAB function) Problem # 2: Use inverse DFT and apply it on the Fourier ...

### 1 goalin this project you will solve a non-trivial design

1 Goal In this project you will solve a non-trivial design problem explicitly using the divide-and-conquer (D&C) approach. The main reason for using the D&C approach is the ease of the design process and the streamlined ...

### Question -i a star-connected three-phase synchronous

Question - (i) A star-connected, three-phase synchronous induction motor takes a current of 10 amps from a 415 volt supply at unity power factor when supplying a steady load. If the synchronous reactance is 5 ohms/phase ...

### Problem 1given a sequence xn for 0lenle3 where x0 1 x1 1

Problem # 1: Given a sequence x(n) for 0≤n≤3, where x(0) = 1, x(1) = 1, x(2) = -1, and x(3) = 0, compute its DFT X(k). (Use DFT formula, don't use MATLAB function) Problem # 2: Use inverse DFT and apply it on the Fourier ...

### Question 1for the ce amplifier in figure 1 given the

Question 1 For the CE amplifier in Figure (1), given the following component parameters: Parameter Value β DC , β AC 150 V BE 0 . 7 V V CC 12 V R C 820 ? R E 1 100 ? R E 2 220 ? R 1 20 k? R 2 5 . 2 k? R L 100 k? C 1 , C ...

### Discuss the role of load factor on the cost of electrical

Discuss the role of load factor on the cost of electrical energy.

### 1 a name the three major groups of contamination and

1. (a) Name the three major groups of contamination and briefly describe their physical characteristics. (b) Where do the above contamination types come from? Give one example of each. 2. Name two processes metrics which ...

• 13,132 Experts

## Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

### Why might a bank avoid the use of interest rate swaps even

Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate

### Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p

### Compute the present value of an annuity of 880 per year

Compute the present value of an annuity of \$ 880 per year for 16 years, given a discount rate of 6 percent per annum. As

### Compute the present value of an 1150 payment made in ten

Compute the present value of an \$1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int

### Compute the present value of an annuity of 699 per year

Compute the present value of an annuity of \$ 699 per year for 19 years, given a discount rate of 6 percent per annum. As