Directional lipschitzian optimal solutions and directional derivative for the optimal value function in nonlinear mathematical programming
J. Gauvin, R. Janin (1989)
Annales de l'I.H.P. Analyse non linéaire
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J. Gauvin, R. Janin (1989)
Annales de l'I.H.P. Analyse non linéaire
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Ilija Nikolić (2007)
The Yugoslav Journal of Operations Research
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Shou-Yang Wang, Qian Wang, Luis Coladas Uría (1996)
Qüestiió
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In this short paper, we are concerned with the stability of nonlinear bilevel programs. A stability problem is proven and an example is given to illustrate this theorem.
Letizia Pellegrini (1998)
RAIRO - Operations Research - Recherche Opérationnelle
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Ramon M. Arana (1977)
RAIRO - Operations Research - Recherche Opérationnelle
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Jiří V. Outrata (1976)
Kybernetika
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Popescu, Elena (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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W. Antoniak, M. Kałuszka (2014)
Applicationes Mathematicae
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This paper focuses on the problem of optimal arrangement of a stream of premiums in a multiperiod credibility model. On the basis of a given claim history (screening) and some individual information unknown to the insurance company (signaling), we derive the optimal streams in the case when the coverage period is not necessarily fixed, e.g., because of lapses, renewals, deaths, total losses, etc.
L. Gajek, P. Miś, J. Słowińska (2007)
Applicationes Mathematicae
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Optimal arrangement of a stream of insurance premiums for a multiperiod insurance policy is considered. In order to satisfy solvency requirements we assume that a weak Axiom of Solvency is satisfied. Then two optimization problems are solved: finding a stream of net premiums that approximates optimally 1) future claims, or 2) "anticipating premiums". It is shown that the resulting optimal streams of premiums enable differentiating between policyholders much more quickly than one-period...