Titlebook: Mathematics of Multi Objective Optimization; Paolo Serafini Book 1985 Springer-Verlag Wien 1985 Mathematics.Optimization.mathematical prog

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PAGAN

The Analytic Hierarchy Process: Experiments in Stabilityse study. This is followed by the results of a series of experiments using groups of people over time, to see how their subjectivity alters. Finally some simulations are carried out on data obtained in practice. The results indicate. the individual data stability is high, and point to the more important factor of initial model specification.

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An Algorithm to Solve a Two-Level Resource Control Pre-Emptive Hierarchical Programming Problemcess in this problem, we develop an efficient algorithm to solve the problem. The proposed algorithm uses regular simplex pivots with a few modifications to select the variables to enter and leave the basis. The algorithm is illustrated with an example.

llibretto

Conjugate Maps and Conjugate Dualityolution to the stable primal problem is associated with a solution to the dual problem, which is characterized as a subgradient of the perturbation map. This pair of solutions is also a saddle point of the Lagrangian.

FAZE

Multiple Criteria Mathematical Programming: An Overview and Several Approachesroject selection. For an individual, the purchase of an automobile or a home exemplifies a multiple criteria problem. Even such routine decisions as the choice of a lunch from a menu, or the assignment of job crews to jobs constitute multiple criteria problems. All have a common thread — multiple conflicting objectives.

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Composite Programming as an Extension of Compromise Programmingdeoff analysis: first with different.L-norms within the criteria, then again with a different . norm among the three objectives..An example of six interconnected watersheds draining into a multipurpose /water supply and recreation/ reservoir and a network design problem of aquifer parameters illustrate the methodology.