6
Linear Programming Methods for
Optimum Design
Upon completion of this chapter, you will be able to:
9
9
9
9
Transform a linear programming problem to the standard form
Explain terminology and concepts related to linear programming problems
Use the two-p

7
More on Linear Programming Methods
for Optimum Design
Upon completion of this chapter, you will be able to:
9
9
9
9
Derive the Simplex method and understand the theory behind its steps
Use an alternate form of the two-phase Simplex method called the Big

5
More on Optimum Design Concepts
Upon completion of this chapter, you will be able to:
9 Write and use an alternate form of optimality conditions for constrained problems
9 Determine if the candidate points are irregular
9 Check the second-order optimali

3
Graphical Optimization
Upon completion of this chapter, you will be able to:
9
9
9
9
9
Graphically solve any optimization problem having two design variables
Plot constraints and identify their feasible/infeasible side
Identify the feasible region/feasi

Appendix B Vector and Matrix Algebra
Matrix and vector notation is compact and useful in describing many numerical methods
and derivations. Matrix and vector algebra is a basic tool needed in developing methods for
the optimum design of systems. The solut

Appendix A
Economic Analysis
The main body of this textbook describes promising analytical and numerical techniques
for engineering design optimization. This appendix departs from the main theme and contains
an introduction to engineering decision making

Appendix D Sample Computer Programs
This appendix contains the listing of some computer programs based on the algorithms
for numerical methods of unconstrained optimization given in Chapters 8 and 9. The objective is to educate the student on how to trans

Introduction to Design
Upon completion of this chapter, you will be able to:
9
9
9
9
9
Describe the overall process of designing systems
Distinguish between engineering design and engineering analysis activity
Distinguish between the conventional design p

Appendix C A Numerical Method for Solution
of Nonlinear Equations
Nonlinear equations are encountered in many fields of engineering. In design optimization, such equations arise when we write the necessary conditions of optimality for unconstrained or con

Bibliography
AASHTO (1992). Standard specifications for highway bridges (15th ed.). Washington, D.C.:
American Association of State Highway and Transportation Officials.
Ackoff, R. L., & Sasieni, M. W. (1968). Fundamentals of operations research. New York