OPERATION RESEARCH past question for the year 2019 examines 400-level Agriculture and Veterinary Medicine students of FUTO, offering AEC411 course on their knowledge of linear programming

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## Past Questions related to OPERATION RESEARCH

Year: 2020

School: Federal University of Technology, Owerri

Department: Agriculture and Veterinary Medicine

Course Code: AEC411

Topics: Operation research methods, allocation problem, quantitative techniques, feasible solution, feasible region, total inventory cost, total cost shortage, traffic density, north west corner method

Year: 2019

School: Federal University of Technology, Owerri

Department: Agriculture and Veterinary Medicine

Course Code: AEC409

Topics: Econometrics, matrix, simultaneous linear equations, parameter estimates, linear regression equation

Year: 2019

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: STA433

Topics: operation research, programming, simplex method, weak duality theorem, linear programming, PERT, CPM

Year: 2017

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: eigenvalues, eigenvectors, cramer's rules, linear programming, dynamic programming, numerical method, integral, Fourier, Dirichlet, Lagrange, state space analysis

Year: 2018

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: numerical methods, linear programming, dynamic programming, numerical integration, Fourier transform

Year: 2020

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: EEE501

Topics: Control system design technology, PID control equation, feedback control, PID algorithm, digital control design, sampling, discrete time response, zero-order hold model, Z transform, describing function, nonlinear difference equation, linear oscillation, absolute stability, linear systems, non-linear systems, nonlinear system analysis

Year: 2018

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: linear programming, state space representation, Fourier transform

Year: 2018

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: WRE514

Topics: linear programming, operation research, Vogel's approximation method

Year: 2018

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: CSC510

Topics: model development, mathematical model, markov model, exponential model, cubic model, inverse model, CPU, linear programming, allocation problem

Year: 2020

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: IPE503

Topics: Operation research, linear programming, operations research applications, simplex method

Year: 2018

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG214

Topics: C++, program, IDE, statement, programming

Year: 2019

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG214

Topics: Computer programming, high-level language, do-while loop, C++, Data type

Year: 2018

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: EEE407

Topics: Linear systems, controllability, observability, matrix, eigen, stability

Year: 2020

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: EEE409

Topics: Electrical engineering analysis, filters, superposition theorem, linear elements, linear circuits, nodal analysis, half-wave dipole antenna, engineering analysis tools, communication network, radio broadcasting, television broadcasting, telephone service, cellular telephone, electronic mail, video on demand, streamed audiovisual service, uniform resource locator, routing, information representation, addressing, multiplexing, hierarchical telephone network structure

### Books related to OPERATION RESEARCH

Author: JK Sharma

School: Modibbo Adama University of Technology

Department: Administration, Social and Management science

Course Code: MM307

Topics: Linear Programming, Linear Programming Model Formulation, Graphical Method, Simplex Method, Duality in Linear Programming, Dual Linear Programming Problem, Sensitivity Analysis, Integer Linear Programming, Goal Programming, Transportation Problem, Assignment Problem, Decision Theory, Decision Trees, Theory of Games, game theory, Project Management, Deterministic Inventory Control Models, Probabilistic Inventory Control Models, Queuing Theory, Replacement Models, Maintenance Models, Markov Chains, Simulation, Sequencing Problems, Information Theory, Dynamic Programming, Classical Optimization Methods, Non-Linear Programming Methods, Revised Simplex Method, Dual-Simplex Method, Bounded Variables Linear Programming Problem, Parametric Linear Programming

Author: Hamdy Taha

Department: Science and Technology

Course Code: STA343

Topics: Operations Research, Operations Research models, linear programming, two-variable linear programming model, modelling, simplex method, sensitivity analysis, artificial starting solution, duality, post-optimal analysis, primal-dual relationships, simplex algorithms, transportation model, assignment mode, network mode, shortest-route problem, Minimal spanning tree algorithm, maximal flow model, critical path model, revised simplex method, revised algorithm, bounded-variables algorithm, parametric linear programming, goal programming, goal programming formulation, goal programming algorithm, integer linear programming, Heuristic programming, greedy heuristic, local search heuristic, metaheuristic, constriant programming, traveling salesperson problem, deterministic dynamic programming, dynamic programming, inventory modelling, probability, probability distribution, decision analysis, games, game theory, probabilistic inventory models, Markov chains, queuing systems, simulation modeling, classical optimization theory, Nonlinear programming algorithms

Author: David Luenberger, Yinyu Ye

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: Linear programming, simplex method, linear programs, Duality, Complementarity, interior-point methods, conic linear programming, unconstrained problems, concave functions, convex functions, speed of convergence, quasi-newton methods, constrained minimization, penalty method, barrier method, duality method, dual method, primal-dual method

Author: Robert Vanderbei

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: simplex method, degeneracy, duality theory, primal simplex method, Lagrangian duality, sensitivity analysis, parametric analysis, implementation issues, convex analysis, game theory, regression, structural optimization, interior-point methods, central path, Lagrange multipliers, path-following method, KKT system, affine-scaling, method, integer programming, quadratic programming, convex programming, Markowitz model

Author: Yetunde Folajimi

Department: Science and Technology

Course Code: CSC103

Topics: Programming, computer programming, computer languages, programming process, compilation, coding, debugging, syntax, Programming languages, low-Programming languages, high-Programming languages, Modular Programming Languages, Structured Programming Language, Business Oriented Language, Object oriented programming language, Visual Programming Languages, Algorithm, Problem-Solving, Problem Solving Process, Algorithmic Problem Solving, Pseudo-Codes, Pseudocode, Flowcharts, Flowchart Symbols, Flowcharting, Programming Environment, flowchart, Variables, Reserved Words, operators, Data Types, functions, Data Type, Numbers Manipulation, character manipulation, String Manipulation, Decision-Making, Loops, Conditional Statements, arrays, Computer Files, file input, file output, File Operation Modes

Author: Frederick Hillier, Gerald Lieberman

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: linear programming, simplex method, duality theory, Linear Programming under Uncertainty, Algorithms for Linear Programming, Transportation and Assignment Problems, Network Optimization Models, Dynamic Programming, Integer Programming, Nonlinear Programming, Metaheuristics, Game Theory, Decision Analysis, Queueing Theory, Inventory Theory, Markov Decision Processes, Simulation

Author: Steven Chapra, Raymond Canale

School: University of Uyo

Department: Engineering

Course Code: GRE411

Topics: Mathematical Modeling, Engineering Problem Solving, Programming, Software, structured programming, Modular Programming, EXCEL, MATLAB, Mathcad, Significant Figures, accuracy, precision, error, Round-Off Errors, Truncation Errors, Taylor Series, Bracketing Methods graphical method, bisection method, False-Position Method, Simple Fixed-Point Iteration, Newton-Raphson Method, secant method, Brent’s Method, multiple roots, Roots of Polynomials, Müller’s Method, Bairstow’s Method, Roots of Equations pipe friction, Gauss Elimination, Naive Gauss Elimination, complex systems, Gauss-Jordan, LU Decomposition, Matrix Inversion, Special Matrices, Gauss-Seidel, Linear Algebraic Equations, Steady-State Analysis, One-Dimensional Unconstrained Optimization, Parabolic Interpolation, Golden-Section Search, Multidimensional Unconstrained Optimization, Constrained Optimization, linear programming, Nonlinear Constrained Optimization, Least-Squares Regression, linear regression, polynomial regression, Multiple Linear Regression, Nonlinear Regression, Linear Least Squares, interpolation, Newton’s Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials, Inverse Interpolation, Spline Interpolation, Multidimensional Interpolation, Fourier Approximation, Curve Fitting, Sinusoidal Functions, Continuous Fourier Series, Fourier Integral, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, power spectrum, Newton-Cotes Integration Formulas, Trapezoidal Rule, Simpson’s Rules, multiple integrals, Newton-Cotes Algorithms, Romberg Integration, Adaptive Quadrature, Gauss Quadrature, Improper Integrals, Monte Carlo Integration, Numerical Differentiation, High-Accuracy Differentiation Formulas, Richardson Extrapolation, partial derivatives, Numerical Integration, Runge-Kutta Method, Euler’s Method, Boundary-Value Problems, Eigenvalue Problems, Finite Difference, Elliptic Equations, Laplace equation, Boundary Condition, Heat-Conduction Equation, Crank-Nicolson Method, Finite-Element Method

Author: Robert Sebesta

School: Edo University

Department: Science and Technology

Course Code: CSC413

Topics: Programming Languages, programming environments, Pseudocodes, functional programming, computerizing business records, time sharing, dynamic languages, object-oriented programming, scripting languages, programming hybrid languages, lexical analysis, syntax analysis, parsing problem, recursive descent parsing, variables, datatypes, array types, associative arrays, arithmetic expressions, subprograms, abstract data types, data abstraction, concurrency, exception handling, event handling, functional programming languages, logic programming languages

Author: muhammad Ali Mazidi, Janice Gillispie Mazidi, Rolin McKinlay

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: MCE308

Topics: Introduction to Computing, 8051 Microcontrollers, 8051 Assembly Language Programming, Branch Instructions, I/O Port Programming, 8051 Addressing Modes, Arithmetic & Logic Instructions, 8051 Programming in C, 8051 Hardware Connection and Hex File, 8051 Timer/Counter Programming in Assembly and C, 8051 Serial Port Programming in Assembly and C, Interrupts Programming in Assembly and C, 8051 Interfacing, LCD and Keyboard Interfacing, 8051 Interfacing with 8255

Author: Singiresu Rao

School: University of Uyo

Department: Engineering

Course Code: CHE515

Topics: Classical Optimization Techniques, Linear Programming, Simplex Method, One-Dimensional Minimization Methods, Nonlinear Programming, Geometric Programming, Dynamic Programming, Integer Programming, Stochastic Programming, Optimal Control, Optimality Criteria Methods, Convex Functions, Concave Functions

Author: Erwin Kreyszig, Herbert Kreyszig, Edward

School: University of Nigeria, Nsukka

Department: Engineering

Course Code: MTH207

Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics

Author: Herbert Kreyszig, Erwin Kreyszig

School: University of Nigeria, Nsukka

Department: Engineering

Course Code: MTH207

Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics

Author: SO Akinola

Department: Science and Technology

Course Code: CSC235

Topics: Object Oriented Programming, Object Oriented Programming Paradigm, Objects, Programming, Data Abstraction, Encapsulation, class, Polymorphism, Java Programming, Java Platform, Java language, Java Variables, Java Objects, Java Operators, Java Control Structures, Java, Java Arrays, java Vectors, Java Strings Manipulations, Java Methods, Programming Inheritance, File Handling, Database Handling, Java Database Connectivity Application Programming Interface

School: Modibbo Adama University of Technology

Department: Administration, Social and Management science

Course Code: AC301

Topics: mathematical programming, linear programming, simplex method, dual simplex method, duality analysis, sensitivity analysis, integer programming, branch-and-round algorithm, cut algorithm, transportation algorithm, scheduling methods, nonlinear programming, single-variable optimization, multivarible optimization, network analysis, project planning, inventory models, forecasting, game theory, decision theory, dynamic programming, finite markov chains, markovian birth-death processes, queuing systems

Author: William Trench

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH203

Topics: Differential Equations, first order equations, Linear First Order Equations, separable equations, exact equations, integrating factors, numerical methods, Euler's method, Improved Euler Method, Runge-Kutta Method, Autonomous Second Order Equations, Linear Second Order Equations, Homogeneous Linear Equations, Constant Coefficient Homogeneous Equations, Non homogeneous Linear Equations, power series, Laplace transforms, inverse Laplace transform, initial value problem, unit step function, convolution, Linear Higher Order Equations, Linear Systems of Differential Equations, Constant Coefficient Homogeneous Systems

Author: William Trench

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH203

Topics: Differential Equations, first order equations, Linear First Order Equations, separable equations, exact equations, integrating factors, numerical methods, Euler's method, Improved Euler Method, Runge-Kutta Method, Autonomous Second Order Equations, Linear Second Order Equations, Homogeneous Linear Equations, Constant Coefficient Homogeneous Equations, Non homogeneous Linear Equations, power series, Laplace transforms, inverse Laplace transform, initial value problem, unit step function, convolution, Linear Higher Order Equations, Linear Systems of Differential Equations, Constant Coefficient Homogeneous Systems

Author: Ken Stroud, Dexter Booth

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG307, ENG308

Topics: Advanced engineering mathematics, numerical solution, Newton-Raphson iterative method, numerical methods, linear interpolation, graphical interpolation, Lagrange interpolation, Laplace transform, convolution theorem, periodic functions, Z transform, difference equations, Invariant linear systems, Differential equations, Fourier series, harmonics, Dirichlet conditions, Gibbs’ phenomenon, Complex Fourier series, complex spectra, Fourier’s integral theorem, Leibnitz-Maclaurin method, power series, Cauchy-Euler equi-dimensional equations, Leibnitz theorem, Bessel’s equation, Gamma functions, Bessel functions, Legendre’s equation, Legendre polynomials, Rodrigue’s formula, Sturm-Liouville systems, Orthogonality, Taylor’s series, First-order differential equations, Euler's method, Runge-Kutta method, Matrix algebra, Matrix transformation, Eigenvalues, direction fields, phase plane analysis, nonlinear systems, dynamical systems, Bifurcation, partial differentiation, Elliptic equations, Hyperbolic equations, Parabolic equations, multiple integration, Green’s theorem, integral functions, error function, elliptic functions, vector analysis, Curvilinear coordinates, complex analysis, complex mapping, Maclaurin series, optimization, linear programming, Linear inequalities

Author: Steven Chapra

School: Edo University

Department: Engineering

Course Code: GEE216

Topics: Numerical Methods, mathematical modeling, MATLAB, mathematical operations, structured programming, errors, roundoff errors, truncation errors, total numerical errors, blunders, model errors, data uncertainty, roots, graphical methods, bracketing methods, bisection, roots, Simple Fixed-Point Iteration, Newton-Raphson, secant methods, Brent's method, MATLAB functions, optimization, linear systems, linear algebraic equations, matrices, Gauss elimination, Naive gauss elimination, tridiagonal systems, LU factorization, matrix inverse, system condition, error analysis, iterative methods, linear systems, nonlinear systems, Eugen values, power method, curve fitting, linear regression, random numbers, linear least-squares regression, polynomial regression, multiple linear regression, QR factorization, nonlinear regression, Fourier analysis, Continuous Fourier series, frequency domain, time domain, Fourier integral, Fourier transform, Discrete Fourier transform, power spectrum, polynomial interpolation, Newton interpolating polynomial, Lagrange interpolating polynomial, inverse interpolation, extrapolation, oscillations, splines, linear splines, quadratic splines, cubic spline, multidimensional interpolation, integration, differentiation, Numerical integration formulas, Newton-Cotes formulas, Trapezoidal rule, Simpson's rules, initial value problem, Runge-Kutta methods, adaptive Runge-Kutta methods, stiff systems, Boundary-value problems, shooting method, finite-difference methods, MATLAB function

Author: MAT212

Department: Science and Technology

Course Code: MAT212

Topics: Linear Algebra, Algebra of Matrices, matrix, Determinants, Matrix Inverse, Systems of Linear Equations, Vector Space, linear equation, Subspaces of Vector Spaces, Rank of a Matrix, Linear Transformations, Linear Transformation, Homogeneous Systems of Linear Equations, Non-Homogeneous Systems of Linear Equations, Eigenvalue, Eigenvector, Minimal Polynomial, Matrix Polynomial, Companion Matrix, Similar Matrix, Diagonal Matrix, Triangular Matrix

Author: Robert Beezer

School: Edo University

Department: Science and Technology

Course Code: MTH214

Topics: Linear algebra, vector, Reduced Row-Echelon Form, vector operations, linear combinations, spanning sets, linear independence, orthogonality, matrices, matrix operation, matrix multiplication, matrix inverses, vector spaces, subspaces, matrix determinants, Eigenvalues, Eigen vectors, linear transformations, Injective Linear Transformations, Surjective Linear Transformations, Invertible Linear Transformations, vector representations, matrix representations, complex number operations, sets