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A generalization of an oddness-theorem for bimatrix games
Springer Science and Business Media LLC - Tập 6 - Trang 217-222 - 1984
It is a well-known result of Lemke and Howson that the number of Nash-equilibria of a bimatrix game is odd in a nondegenerate case. In this paper a generalized version of this theorem will be proved. It will be shown that in case of finiteness of the number of Nash-equilibria the number of nondegenerate Nash-equilibria is always odd. Consequences of this fact are nondegeneracy for unique Nash-equi......
Semi-infinite quadratic programming
Springer Science and Business Media LLC - Tập 1 - Trang 51-55 - 1979
A method is presented for minimizing a definite quadratic function under an infinite number of linear inequality restrictions. Special features of the method are that it generates a sequence of feasible solutions and a sequence of basic solutions simultaneously and that it has very favourable properties concerning numerical stability.
Investigating Ahuja–Orlin’s large neighbourhood search approach for examination timetabling
Springer Science and Business Media LLC - Tập 29 - Trang 351-372 - 2006
Since the 1960s, automated approaches to examination timetabling have been explored and a wide variety of approaches have been investigated and developed. In this paper we build upon a recently presented, sequential solution improvement technique which searches efficiently over a very large set of “adjacent” (neighbourhood) solutions. This solution search methodology, originally developed by Ahuja......
Analytical search models for optimum seeking in simulations
Springer Science and Business Media LLC - Tập 2 - Trang 91-97 - 1980
Indepently developed analytical and simulation models of the same real world phenomenon can effectively complement each other. A simple analytical model can “learn” from a more realistic simulation model and can in turn provide “evolutionary” guidance in optimum seeking to the simulation model.
Group decision and negotiation support — A methodological survey
Springer Science and Business Media LLC - Tập 12 - Trang 67-77 - 1990
The paper surveys recent developments in Group Decision Support Systems. We first consider a basic hierarchical model widely found in the literature, which distinguishes between individual and group processes. Using this model, we identify different classes of support for both levels and discuss the corresponding systems presented in the literature. We then consider non-hierarchical approaches, ma......
Stochastic linear programming with a distortion risk constraint
Springer Science and Business Media LLC - Tập 36 - Trang 949-969 - 2014
Coherent distortion risk measures are applied to capture the possible violation of a restriction in linear optimization problems whose parameters are uncertain. Each risk constraint induces an uncertainty set of coefficients, which is proved to be a weighted-mean trimmed region. Thus, given a sample of the coefficients, an uncertainty set is a convex polytope that can be exactly calculated. We con......
The influence of proper efficiency on optimal solutions of scalarizing problems in multicriteria optimization
Springer Science and Business Media LLC - - 1994
Planning for a bus-based evacuation
Springer Science and Business Media LLC - Tập 33 - Trang 629-654 - 2011
Planning for a bus-based regional evacuation is essential for emergency preparedness, especially for regions threatened by hurricanes that have large numbers of transit-dependent people. While this difficult planning problem is a variant of the vehicle routing problem, it differs in some key aspects, including the objective and the network structure (e.g., capacitated shelters). This problem is no......
A capacity-oriented hierarchical approach to single-item and small-batch production planning using project-scheduling methods
Springer Science and Business Media LLC - Tập 19 Số 2 - Trang 77-85 - 1997
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