Decision Support System Mine Problem Solver for Nonlinear Multi-Criteria Analysis

Kaden, S. & Kreglewski, T. (1986). Decision Support System Mine Problem Solver for Nonlinear Multi-Criteria Analysis. IIASA Collaborative Paper. IIASA, Laxenburg, Austria: CP-86-005

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Abstract

The Decision Support System MINE has been developed for the analysis of regional water policies in open-pit lignite mining areas. It is based on a two-level model approach. The first-level planning model is used for the estimation of rational strategies of long-term development applying dynamic multi-criteria analysis. The second-level management model considers managerial/operational aspects for shorter time steps (monthly and yearly).

The paper describes the problem solver for multi-criteria analysis in the planning model. This analysis is based on the reference point approach. For the solution of the resulting nonlinear programming problem the MSPN-algorithm, developed at the Institute of Automatic Control of the Technical University has been adopted. The solver considers the special characteristics of the mathematical model of the DSS MINE, as its non-linearity and the sparse character of the resulting Jacobian matrix.

Starting with the description of the general mathematical structure of the planning model within the DSS MINE the problem formulation for multicriteria analysis based on the Reference Point Approach is given. Next, the non-linear problem solver MSPN is presented, including a program description. Finally the results of some computational tests are shown.

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