Ranges in which the basis is unchanged

Cycle 47r3. Cycle 47r2. Cycle 47r1. Cycle 46r1. Cycle 45r1. Cycle 43r1. Cycle 41r1. Tropical cyclone trajectory. Cycle 40r1. Cycle 38r2. Ensemble forecast overlap. Cycle 38r1. Cycle 37r3. Cycle 37r2. New ENS Cluster. Cycle 36r4. Cycle 36r2. Row Current Allowable Allowable. RHS Increase Decrease. ALIM CLIM JOINT The first section of the report is titled Objective Coefficient Ranges.

In the first column, titled Variable, all the optimizable variables are listed by name. The next column, titled Current Coefficient , lists the current coefficient of the variable in the objective row. The next column, Allowable Increase , tells us the amount that we could increase the objective coefficient without changing the optimal values for the variables.

The final column, Allowable Decrease , lists the amount that the objective coefficient of the variable could decrease before the optimal values of the variables would change. Information on the allowable increases and decreases on objective coefficients can be useful when you need answers to questions like, "How much more less profitable must this activity be before we should be willing to do more less of it?

Referring to the Objective Coefficient Ranges report for our example, we can say, as long as the objective coefficient of A is greater-than-or-equal-to 15, the optimal values of the variables will not change. The same may be said for the objective coefficient of variable C , as long as it falls within the range of [0,40]. The second section of the range report is titled Right-hand Side Ranges.

The first column, Row , lists the names of all the optimizable rows, or constraints, in the model. The second column, Current RHS , gives the constant term, or right-hand side value, for the row.

The next two columns, Allowable Increase and Allowable Decrease , tell us how far we can either increase or decrease the right-hand side coefficient of the row without causing a change in the optimal values of the dual prices or reduced costs.

If you recall, the dual prices on rows are, effectively, shadow prices that tell us at what price we should be willing to buy or sell our resources for. The dual prices do not, however, tell us what quantity we should be willing to buy or sell at the dual price. This information is obtained from the allowable increases and decreases on the right-hand side coefficients for the row.

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