Abstract :
Given a linear design problem with multiple objectives and multiple resource availability levels, we first use the multi-criteria and multi-constraint level (MC2) simplex method to identify a set of potentially good designs and to construct their corresponding contingency plans for coping with changes of resource availability levels and the unit contribution of selected products (opportunities). Then we use known techniques of decisionmaking under uncertainty to select the optimal design(s) from these potentially good designs and their contingency plans as the final decision. For some change of the unit contribution of selected products in a potentially good design, the potentially good design may not satisfy the optimality condition under consideration. To overcome the non-optimal situation, we must construct dual contingency plans to convert non-optimal solutions into optimal ones for the potentially good design. This paper discusses how to construct flexible dual contingency plans for potentially good designs in which the number of selected products made, the contribution of the products, and units of slack resources are flexibly adjusted to meet the optimality. Based on theoretical results, we propose a method of effectively and systematically identifying all potentially good designs and the corresponding flexible dual contingency plans under various decision situations.
