7 More on Linear Programming Methods for Optimum Design

Upon completion of this chapter, you will be able to:

• Derive the Simplex method and understand the theory behind its steps

• Use an alternate form of the two-phase Simplex method called the Big-M method

• Write a dual problem for the given LP problem

• Recover solution for the original LP problem from the solution of the dual problem

In this chapter, some additional topics related to linear programming problems are presented. These topics are usually not covered in an undergraduate course on optimum design. They may also be omitted on the first independent reading of the book.

7.1 7.1 Derivation of the Simplex Method

In the previous chapter, we presented the basic ideas and concepts ...

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