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Combinatorial integer labeling theorems on finite sets with an application to discrete systems of nonlinear equations
Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2007
Tucker's well-known combinatorial lemma states that for any given symmetric triangulation of the n-dimensional unit cube and for any integer labeling that assigns to each vertex of the triangulation a label from the set {1,2,...n,-1,-2,....-n} with the property that antipodal vertices on the...
Persistent link: https://www.econbiz.de/10011373836
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Shallow lake economics run deep : nonlinear aspects of an economic-ecological interest conflict
Wagener, Florian Oskar Ottokar - 2011
Outcomes of the shallow lake interest conflict are presented in a number of different contexts: quasi-static and dynamic social planning, and quasi-static one-shot and repeated non-cooperative play. As the underlying dynamics are non-convex, the analysis uses geometrical-numerical methods: the...
Persistent link: https://www.econbiz.de/10011378127
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Solving discrete systems of nonlinear equations
Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2009
We study the existence problem of a zero point of a function defined on a finite set of elements of the integer lattice of the n-dimensional Euclidean space. It is assumed that the set is integrally convex, which implies that the convex hull of the set can be subdivided in simplices such that...
Persistent link: https://www.econbiz.de/10011378347
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Solving discrete zero point problems with vector labeling
Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2005
In this paper we present two general results on the existence of a discrete zero point of a function from the n-dimensional integer lattice Zn to the n-dimensional Euclidean space Rn. Under two different boundary conditions, we give a constructive proof using a combinatorial argument based on a...
Persistent link: https://www.econbiz.de/10011346458
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Analytic decision rules for financial stochastic programs
Siegmann, Adriaan Hendrik; Lucas, André - 2000 - This version: May 1, 2000
Contemporary financial stochastic programs typically involve a trade-offbetween return and (downside)-risk. Using …. We find that the model can be tuned easily using Value-at-Risk (VaR) related benchmarks. In the multi-stage setting, we … formally prove that the optimal solution consists of a sequence of myopic (single-stage) decisions with risk …
Persistent link: https://www.econbiz.de/10011303296
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Solving discrete zero point problems
Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2004
Persistent link: https://www.econbiz.de/10011337990
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Optimal balanced control for call centers
Bhulai, Sandjai; Farenhorst-Yuan, Taoying; Heidergott, Bernd - 2010
In this paper we study a challenging call center operation problem. The goal of our analysis is to identify an optimal policy for allocating tasks to agents. As a first step, we discuss promising randomized policies and use stochastic approximation for finding the optimal randomized policy when...
Persistent link: https://www.econbiz.de/10011379634
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Automated response surface methodology for stochastic optimization models with unknown variance
Nicolai, Robin P.; Dekker, Rommert - 2005
Response Surface Methodology (RSM) is a tool that was introduced in the early 50's by Box and Wilson (1951). It is a collection of mathematical and statistical techniques useful for the approximation and optimization of stochastic models. Applications of RSM can be found in e.g. chemical,...
Persistent link: https://www.econbiz.de/10011343271
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Computing integral solutions of complementarity problems
Laan, Gerard van der; Talman, Dolf; Yang, Zaifu - 2004
In this paper an algorithm is proposed to find an integral solution of (nonlinear) complementarity problems. The algorithm starts with a nonnegative integral point and generates a unique sequence of adjacent integral simplices of varying dimension. Conditions are stated under which the algorithm...
Persistent link: https://www.econbiz.de/10011343323
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Insurance sector risk
Slijkerman, Jan Frederik - 2006
the insurance sector. The downside risk of insurers is explicitly modelled by common and idiosyncratic risk factors. Since … reinsurance is important for the capacity of insurers, we measure risk dependence among European insurers and reinsurers. The … results point to a relatively low insurance sector wide risk. Dependence among insurers is higher than among reinsurers. …
Persistent link: https://www.econbiz.de/10011349192