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Chapter 3

Chapter 3. Linear Programming: Sensitivity Analysis and Interpretation of Solution. Contents. Introduction to Sensitivity Analysis Graphical Sensitivity Analysis Simultaneous Changes. Introduction. In this chapter we will discuss: changes in the coefficients of the objective function

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Chapter 3

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  1. Chapter 3 Linear Programming: Sensitivity Analysis and Interpretation of Solution

  2. Contents • Introduction to Sensitivity Analysis • Graphical Sensitivity Analysis • Simultaneous Changes

  3. Introduction • In this chapter we will discuss: • changes in the coefficients of the objective function • changes in the right-hand side value of a constraint

  4. Sensitivity Analysis • Sensitivity analysis (or post-optimality analysis) is used to determine how the optimal solution is affected by changes, within specified ranges, in: • the objective function coefficients • the right-hand side (RHS) values • Sensitivity analysis is important to the manager who must operate in a dynamic environment with imprecise estimates of the coefficients. • Sensitivity analysis allows him to ask certain what-ifquestions about the problem.

  5. Example 1 • LP Formulation

  6. Example 1 • LP Formulation Max 5x1 + 7x2 s.t. x1< 6 2x1+ 3x2< 19 x1 + x2< 8 x1, x2> 0

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