2017/2

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Now showing 1 - 5 of 7
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    Necessary conditions for hyponormality of Toeplitz operators on the Fock space
    (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2017) Gupta, A.; Singh, S. K.
    In this article, the necessary conditions for the hyponormality of Toeplitz operator T with harmonic polynomial symbols on the Fock space are explored.
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    Equilibrium team selection in football under win or profit maximisation
    (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2017) Haugen, K. K.
    This article applies mathematical methods to investigating (extremely) simpli ed versions of the team selection problem for football managers. The team selection problem { obviously a game problem { is analysed game theoretically, but some funny results of a combinatorial nature are also added. In general, the ndings indicate that the problem of selecting a football team is a very demanding task. Still, a simple comparison between win and pro t maximising game models indicate surprising complexity in game prediction.
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    Application of a new type of preopen sets and related continuity
    (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2017) Roy, B.
    In this paper a new class of sets termed as -preopen sets has been introduced and some of its properties are discussed. A new type of separation axiom has been introduced with the help of this newly de ned sets. Finally some properties of weak forms of continuous functions have been studied.
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    Analytic solutions for singular integral equations and non-homogeneous fractional PDE
    (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2017) Aghili, A.
    In the last three decades, transform methods have been used for solving fractional di erential equations, singular integral equations. In this article, the author considered a new class of the inverse Laplace transforms of exponential types. We also evaluated certain types of integrals and solved partial fractional equations of Cauchy type.The result reveals that the transform method is very convenient and e ective.
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    Downstream logistics optimization at EWOS Norway
    (Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky, 2017) Branda, M.; Haugen, K. K; Novotný, .J.; Olstad, A.
    The Norwegian company EWOS AS produces sh feed for the salmon farming industry, supplying approximately 300 customers spread along the coast of Norway. The feed is produced at three factory locations and distributed by a eet of 10 dedicated vessels. The high seasonality of the demand and the large number of customers make the distribution planning a substantial challenge. EWOS handles it by operating a system of mostly xed routes with decentralized planning at each factory. The distribution can be described as a multi-depot vehicle routing problem with time windows, multiple vehicle usage, inter-depot routes, heterogeneous eet and a rolling horizon. The paper presents a mathematical model for this problem, which is solved by heuristics and meta heuristics. Based on detailed historical data collected by EWOS during the autumn of 2010, the model has proposed a dynamic set of routes with a signi cant reduction of travelled distance { close to 30% { and an increase of average vessel ll-rate { from 60% up to 95%. This implies a substantial fuel saving, with a positive environmental impact, and also a potential for downscaling the eet, with additional considerable cost savings for the company.