marginal values of resources - ORIE 3300/5300 Prof. Bland...

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ORIE 3300/5300 Fall 2011 Prof. Bland Marginal Value of Resources In upcoming lectures we will be examining several issues in sensitivity or postoptimal- ity analysis , which concern how an optimal solution of a linear programming problem responds to a change in some entry in the input data, and how to re-optimize in response to changes in the data or the inclusion of new variables or constraints. First it will be useful to begin with an examination of how the objective function row of an optimal tableau arises from the objective function row of the initial tableau by subtracting multiples of the rows of the initial Ax = b system of equations. Let’s look at that in the sausage example. Find π = ( π 1 2 3 ) such that: 1 20 30 0 0 0 0 0 2 2 1 0 0 80 - π 0 4 2 0 1 0 120 0 3 6 0 0 1 210 = 1 0 0 -5 0 - 10 3 -1100 1
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While we are doing this sort of thing, let’s look at a related issue: Find 3 × 3 matrix P such that: 0 2 2 1 0 0 80 P 0 4 2 0 1 0 120 0 3 6 0 0 1 210 0 0 1 - 1 2 0 1 3 30 = 0 1 0 1 0 - 1 3 10 0 0 0 -3 1 2 3 20 2
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OK. Back to marginal values of resources. Lets’ see about the marginal value of beef.
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This note was uploaded on 03/08/2012 for the course ORIE 3300 at Cornell University (Engineering School).

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marginal values of resources - ORIE 3300/5300 Prof. Bland...

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