Further Explorations in the Theory of Multiple Budgeted

Cover Further Explorations in the Theory of Multiple Budgeted
Further Explorations in the Theory of Multiple Budgeted
A Abraham Charnes
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, n The constraint on p is stated as an equality inasmuch as it is monotone Increasing, and the functional monotone decreasing, in p.. The non- negativity conditions are required only on the p. Which are not included in the constraint on W whose satisfaction requires p > for W finite.
J (Intuitively, if even one activity involved as a criterion of acceptable performance is ignored, overall acceptable performance cannot be attained. ) - A more formal treatment of this model will be available in
...a forthcoming paper.
-22- Ic can be shown that the constraint or W may be replaced by equality unless the optimal solution to the problem without this constraint (but with the non-negativity conditions on the first m of the p restored) overfulfllls it, in which case the problem solution is obtained by the methods used above .
Provided the problem is feasible and the constraint on W is not redundant, the conditions of solution (Kuhn-Tucker) become: J J 1-e^jPj (18) n^a^ e""jPj = n jeK where M = Wj = l, ...


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