Abstract-A problem of scheduling freight trains in railrail transshipment yards is considered. It is solved at a deeper level compared to original papers dedicated to this problem: besides scheduling service slots for trains, this article additionally solves a problem of assigning every train to a railway track. A mathematical model and a solving method for this problem are given. A key feature of the given mathematical model is that it doesn't use Boolean variables but rather operates with combinatorial objects (tuples of permutations). The solution method is also based on generation of combinatorial sets, which is quite an unusual approach for solving such problems.
Abstract-A mathematical model and a solving strategy for the Pickup and Delivery Problem with threedimensional loading constraints regarding a combinatorial configuration instead of a traditional approach that utilizes Boolean variables is proposed. A traditional one-to-one Pickup and Delivery Problem in a combination with a problem of packing transported items into vehicles by means of the proposed combinatorial generation algorithm is solved.
В статье проводится анализ исторического развития направления саливадиагностики -микрокристаллизации ротовой жидкости. Представлены результаты собственных исследований микрокристаллограмм, алгоритм изуче-ния фрактальных структур основного слоя фаций слюны. Выделены чёткие количественные показатели дендри-тов, которые планируется использовать в дальнейшей разработке пакетов программного обеспечения для объек-тивизации анализа микрокристаллизации слюны в норме и при патологии.Ключевые слова: стоматология, ротовая жидкость, кристаллогенез, фрактальные структуры. The article provides a historic overview of research of micro-crystallization of saliva in complex diagnostics of dental diseases. Proceeding from results of their own and borrowed research, the authors demonstrate the principal qualitative parameters of comprehensive characteristics of fractal structures in the main layer of saliva facies. The article offers the algorithm of their evaluation and marks prospective trends in using software packages for objective qualitative assessment of fractals of micro-crystallograms of saliva in the case of norm or dental pathology.
PROSPECTS OF TНE RESEARCH OF CRYSTAL GENESIS OF ASSORTED
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