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Titlebook: Mathematical Optimization Theory and Operations Research; 21st International C Panos Pardalos,Michael Khachay,Vladimir Mazalov Conference p

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On Solving One Spectral Problemhavior of charge carriers. At the nanoscale level, the applied mathematical model is a coupled system of Schrödinger and Poisson equations. As a result of solving these equations, data are obtained on the wave functions and the density distribution of charge carriers across the layered structure. Th
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Optimal Arrivals to Preemptive Queueing Systemn as the customer request enters the system, the server immediately starts the service. But when the next request arrives in the system, the previous one leaves the system even he has not finished his service yet. We study the following non-cooperative game for this service system. Each player decid
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On the Existence of a Fuzzy Core in an Exchange Economypresented indirectly and applies a cumbersome construction. It usually is based on the idea of replicated economies, via standard core existence, followed by passing to the limits, allowing the number of replicas tends to infinity. The result is also proved under additional restrictive assumptions.
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0302-9743 OR 2022, held in Petrozavodsk, Russia, in July 2022. .. ..The 21 full papers presented together with 6 invited abstracts lectures and 2 tutorial abstracts in this volume were carefully reviewed and selected from 88 submissions. The conference focuses on the following topics: Mathematical programming
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Optimal Arrivals to Preemptive Queueing Systemice. We show that there exists a unique symmetric Nash equilibrium in this game. Finally, some numerical experiments are carried out to compare the equilibria under different values of the model parameters.
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On the Existence of a Fuzzy Core in an Exchange Economy Brouwer’s fixed point theorem. This new direct proof is efficient and shortest among others. Moreover, now the existence of a fuzzy core is stated under other weakest assumptions: agent preferences can be incomplete, non-transitive, satiated, and so on.
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