our topic. The idea for the solution of these problems is the use of Routh Pade Approximation technique. It is a technique that reduces the order of the equation in a very easy and work-friendly way. The Pade Approximation reduces the higher order model into a lower order model and then we design a suboptimal controller for this lower order model. These two things‚ namely‚ the order reduction using Routh Pade Approximation and the design of the suboptimal controller are two different things and they
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SPARE PARTS INVENTORY MANAGEMENT WITH DELIVERY LEAD TIMES AND RATIONING a thesis submitted to the department of industrial engineering and the institute of engineering and science of bilkent university in partial fulfillment of the requirements for the degree of master of science By Ya¸ar Levent Ko¸a˘a s c g May‚ 2004 I certify that I have read this thesis and that in my opinion it is fully adequate‚ in scope and in quality‚ as a thesis for the degree of Master of Science. Assist. Prof
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A.E._... ---- ‚._ FILE October 1991 cory A.E. Res. 91- 10 Measuring Hicksian Welfare Changes From Marshallian Demand Functions Jesus c. Dumagan and Timothy D. Mount Department of Agricultural Economics Cornell University Agricultural Experiment Station New York State College of Agriculture & Life Sciences A Statutory College of the State University Cornell University‚ Ithaca‚ NY 14853 AI It is the Policy of Cornell University actively to support equality of educational
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We have used a new method of Minimum Transportation Cost Method (MTCM) to find the initial basic feasible solution for the solved problem by Hakim [2]. Hakim used Proposed Approximation Method (PAM) to find initial basic feasible solution for balanced transportation model and then compared the results with Vogel’s Approximation Method (VAM) [2]. The results of both methods were noted to be the same but here we have taken the same transportation model and used MTCM to find its initial basic feasible
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73-240 | Recitation A Problem Set 1 Problem 1: Nominal GDP‚ Real GDP‚ Price Indices‚ and Inflation A. Nominal GDP in Year 1 = $430 Nominal GDP in Year 2 = $617.50 Growth Rate of Nominal GDP = 44% B. RGDP(1) in Year 1 = $430 RGDP(1) in Year 2 = $410 RGDP(1) growth = -4.65% RGDP(2) in Year 1 = $655 RGDP(2) in Year 2 = $617.50 RGDP(2) growth = -5.73% The answer differs depending on which base year you use because the relative prices of the goods in comparison to each other (price
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FINITE ELEMENT APPROXIMATIONS FOR SPDES WITH WHITE NOISE FORCING TERMS Yanzhao Cao Department of Mathematics & Statistics Auburn University November 20‚ 2009 Yanzhao Cao Numerical SPDES November 20‚ 2009 1 / 35 Outline 1 Introduction Brownian sheet and elliptic SPDE Yanzhao Cao Numerical SPDES November 20‚ 2009 2 / 35 Outline 1 Introduction Brownian sheet and elliptic SPDE 2 SPDE with discretized white noise ˙ Discretization of white noise
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TUTORIAL QUESTIONS 1 (a) What do you understand by the Euler method ? (b) Let y/ = 3y + 1 y(0) = 2 be an initial value problem. Using Euler method‚ present an approximation of y(5) using a step size of 1. 2 (a) State Simpson’s rule. (b) Write MATLAB code for finding the numerical approximation of a definite integral using (a) above. 3 (a) Write the meaning of the following MATLAB commands and illustrate with at least one example each: (i) (ii) (iii) (iv) (v)
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UT‚ USA (Dated: March 6‚ 2013) Using a simple pendulum the acceleration due to gravity in Salt Lake City‚ Utah‚ USA was found to be (9.8 +/- .1) m/s2 . The model was constructed with the square of the period of oscillations in the small angle approximation being proportional to the length of the pendulum. The model was supported by the data using a linear fit with chi-squared value: 0.77429 and an r-square value: 0.99988. This experimental value for gravity agrees well with and is within one standard
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TPG4160 Reservoir Simulation 2012 Lecture note 1 page 1 of 11 INTRODUCTION TO RESERVOIR SIMULATION Analytical and numerical solutions of simple one-dimensional‚ one-phase flow equations As an introduction to reservoir simulation‚ we will review the simplest one-dimensional flow equations for horizontal flow of one fluid‚ and look at analytical and numerical solutions of pressure as function of position and time. These equations are derived using the continuity equation‚ Darcy’s equation
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Northwest Corner and Banded Matrix Approximations to a Countable Markov Chain∗ Yiqiang Q. Zhao‚ W. John Braun‚ Wei Li† Department of Mathematics and Statistics University of Winnipeg Winnipeg‚ MB Canada R3B 2E9 September 2‚ 2004 Abstract: In this paper‚ we consider approximations to countable state Markov chains and provide a simple‚ direct proof for the convergence of certain probabilistic quantities when one uses a northwest corner or a banded matrix approximation to the original probability transition
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