Maximization of a Linear Utility Function over the Set of the Housing Market Short-Term Equilibria

AMS subject classification: 90C05, 90A14.Some generalization of the housing market models published by Herbert and Stevens [4], Gustafsson et al. [2], and Wiesmeth [7] is suggested. The set of short-term equilibria in a housing market in the sense of Wiesmeth [7] is parameterized by Pareto-maximal integral points of some polyhedron. The problem of maximization of a linear utility function over the set of short-term equilibriums is studied. The problem is proved to be reducible (under some natural assumptions) to a linear programming problem (LPP), or to finite number of the LPPs in general case. The possible applications of the results and some related problems are pointed out.This work was supported by the Research Support Scheme of the OSI/HESP, grant No. 934/1996

Regulation of Housing Market and Generalized Assignment Problem

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Housing market short-term equilibriums maximizing linear utility functions

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Housing Market Short-Term Equilibria and the Sets of Disjoint Cycles of a Maximum Total Length

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Recovery of ion temperature profiles from the analysis of energy-resolved neutral-flux measurements

In this paper, results of two approaches to account for the neutral density are reported, which substitute the time-consuming Monte Carlo simulations. In the first approach, the neutral density is estimated by transport formulas applicable to a planar slab model. This model is a somewhat crude approximation to the real situation in ASDEX Upgrade. The second approach, consists in empirically estimating the neutral density profile simultaneously with the ion temperature profile, while imposing a low-order parametric class of neutral-density profiles (of the neutrals stemming from the wall) along the line of sight. The class of functions (a variant of exponential survival functions) has been selected by investigating various fits to results results of a Monte-Carlo based T_i evaluation program, for some ASDEX-Upgrade discharges. The procedure roughly captures global features of the 'survival profile' of the atomic neutral density due to the wall sources, from the central region of the plasma up to the region close to the separatrix. The neutrals from volume recombination, which are important in the center of the plasma, are calculated separately. (orig.)Available from TIB Hannover: RA 71(5/99) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman