II B.Tech I Semester Supplementary Examinations, May 2005 OPTIMIZATION TECHNIQUES (Electrical & Electronic Engineering) Time: 3 hours Max Marks: 70 Answer any FIVE Questions All Questions carry equal marks ????? 1. (a) Explain the theory of multivariable optimization without constraints. (b) What is objective function? Explain the objective function surfaces. 2. (a) Explain single variable optimization with illustrative example. (b) Find the extreme points of the function. f (x1 , x2 ) = x31 + x32 + 2x21 + 2x22 + 6. 3. Solve the following system of equations by using pivot operations. 4x1 +3x2 +x3 = 13 3x1 +7x3 = 24 x1 +2x2 +3x3 = 14 4. (a) Give a generalized mathematical model of Linear Programming Problem. (b) Explain about the Basic Feasible Solution. (c) Explain the significance of ’key row’, ’key column’ and ’key number’ and ’replacement ratio’ with respect to a Simplex Method. 5. Maximize the following problem using Simplex Method. Z = 10x + y + 2z Subject to x + y − 2z ≤ 10; 4x + y + z ≤ 20 and x, y and z 0 6. An oil company has three refinery stations and five filling stations. Transportation cost (rupees for barrel) for shipping oil from refinery station to filling station is shown in the following table. Filling Station Capacities F1 F2 F3 F4 F5 (barrels) Refinery R1 360 180 270 180 540 24 Station R2 450 360 450 180 90 36 R 3 540 450 360 630 270 42 Requirementes
12 12 18 24 24
7. Solve the following problem using dynamic programming technique: Maximized z = 28x + 7y Subject to: 4x + 3y ≤ 12; 2x1 +5x2 ≤ 10; x1 , x2 ≥ 0. 8. Write short notes on the following: (a) Kuhn-Rucker conditions 1 of 2
OR210253 II B.Tech I Semester Supplementary Examinations, May ...
Maximize the following problem using Simplex Method. Z = 10x + y + ... 10; x1, x2 ⥠0. 8. Write short notes on the following: (a) Kuhn-Rucker conditions. 1 of 2 ...
(figure.1). (c) Obtain Thevenin's equivalent circuit for the network below figure 2. 1 of 3 ... (a) Obtain open circuit and short circuit parameters. Obtain relation ...
Show the reaction mechanisms of the following reactions. (a) Gatterman reaction. ... How will you determine the configuration of glucose with the help of Fischer's method? 7. (a) What ... Explain the theory of colour and constitution? *****. 1 of 1.
b) Prove the independent laws for the elements of a lattive. 4. Using Warshall's algorithm, compute the adjacency matrix of the transitive · closure of the digraph.
Functions with half wave symmetry have only odd harmonics. 3. (a) Determine ... (a) State and prove the convolution and scale change properties in z transform.
to overcome this problem. Discuss. 7. (a) Distinguish between Mealy and Moore machines. (b) Convert the following Mealy machine into a corresponding Moore ...
BIO-CHEMISTRY. (Bio-Medical Engineering). Time: 3 hours. Max Marks: 70 ... Write an essay on protein synthesis. 6. What is the mechanism behind Generation ...
(b) Explain the basic principle of the instrument used for Condition monitoring · of any process. [8+8] · 2. (a) Compare and construct the functioning of rupture ...
What is the theory of lubrication? Explain how surface tension plays a role in the · performance of lubricating oils and hydraulic fluids? What is surface tension ...
(b) What is the purpose of providing âbondsâ in brick work. With the help of · neat sketches illustrate âEnglish bondâ. [8+8] · 2. (a) What is a âdamp-proof courseâ?
A silica brick layer on inside is laid to 150mm thickness and a · magnesia brick of 200mm thickness on outside. The inside and outside wall · surfaces are at 650 ...
(b) The following observations are related to a closed compass traverse ABCD. Find out the stations which suffer local attraction and give the values of the.
2. Explain the following: · (a) Reynolds number · (b) Nusselt number · (c) log mean temperature differene. (d) importance of heat transfer in furnace technology.
NR. (b) Calculate the density of naphthalene decahydride (C10H18) from its refractive index value of 1.4804 at 18 oC. [10+6] · 8. (a) Explain how the depression ...
diagrams. Show that the entropy change during the cycle is zero ... if the small amounts of argon and carbon oxide present in the mixture are · neglected.
8.a) What are the constraints on ROC for various classes of signals in z transform? b) Find the z transform of the sinusoidal signal XT (n)=sin (bn)*uT (n).
Pascal. 4. Explain different parameter passing and evaluation techniques followed. Demonstrate these concepts with suitable examples. 5.a) What are the ...
(a) Job order production and batch production system. (b) Mass production and flow production. [4+4+4+4] · 7. DefineâCritical pathâ, âslack timeâand âDummy ...
(b) One bag contains 4 White balls and 3 black balls and a second bag contains 3 ... [8+8] · 3. (a) The amount of bread ( in hundreds of pounds) X that a certain ...
(c) Explain sign conventions of heat and work in thermodynamics. [5+5+6] · 3. (a) State and explain second law of thermodynamics. (b) Define and explain ...
b=4.318 cm is fed by a 4 GHz carrier from a coaxial cable. Determine if a · TE10 mode will be propagated. If so calculate the phase velocity and group · velocity.
(c) An amplifier with voltage gain of 60 decibels uses 0.05 of its output voltage in · negative feedback. Calculate the gain of the feedback amplifier. [6+6+4].