MATHEMATICAL AND ALGORITHMIC DESCRIPTION OF THE OPTIMAL PLACEMENT OF PRODUCTS ON THE VEHICLE

2020 ◽  
Vol 13 (2) ◽  
pp. 47-57
Author(s):  
E. Saprykin ◽  
M. Lisickaya ◽  
V. Antsiferova

The principles of the optimal calculation of the distribution of the volume of products on the vehicle platform, the mathematical and algorithmic description of the optimal placement of products on the TS platform, as well as mathematical models for the description of the optimal placement of products in the truck body, the description of calculation algorithms and the structure of the program development are considered.

Author(s):  
Péter Fülöp ◽  
Sándor Imre ◽  
Sándor Szabó ◽  
Tamás Szálka

The efficient dimensioning of cellular wireless access networks depends highly on the accuracy of the underlying mathematical models of user distribution and traffic estimations. The optimal placement/deployment of e.g. UMTS, IEEE 802.16 WiMAX base stations or IEEE 802.11 WLAN access points is based on user distribution and traffic characteristics in the service area. In this paper we focus on the tradeoff between the accuracy and the complexity of the mathematical models used to describe user movements in the network. We propose a novel Markov chain based model capable of utilizing user’s movement history thus providing more accurate results than other models in the literature. The new model is applicable in real-life scenarios, because it relies on information effectively available in cellular networks (e.g. handover history). The complexity of the proposed model is analyzed, and the accuracy is justified by means of simulation.


2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Oleg Blyuss ◽  
Larysa Koriashkina ◽  
Elena Kiseleva ◽  
Robert Molchanov

This paper proposes and analyses a mathematical model for the problem of distribution of a finite number of irradiation sources during radiotherapy in continuous environments to maximize the minimal cumulative effects. A new algorithm based on nondifferentiable optimization techniques has been developed to solve this problem.


Author(s):  
Tolaniddin Ramziddinovich Nurmukhamedov

: The research paper provides an analytical review of the rational organization of storage in transport, notes the works of scientists that are of great importance for the railway industry, and considers the issues of optimal placement of inventory items in the carriage depot of the Joint Stock Company "Uztemiryulyulovchi" ("Uzdzheldorpass"). The structure of a warehouse reflecting the main elements of technological sections, consisting of an unloading section, a cargo receiving section, a storage area (temporary and main), a picking section, a service and technical room, is presented. The developed mathematical models for determining rational placement, graphs of the effect of the life cycle of goods on the logistics cycle of replenishment of stocks, methods for determining the amount of supply of spare parts for mobile units when managing their stocks are presented.


Author(s):  
Andrii Maliienko

Modern requirements of transport communication require the use of more environmentally friendly transport, and electric transport requires a more thorough analysis of the locations of its service points, including charging stations for electric vehicles. In this paper, it is proposed to use the theory and methods of multiple coverage of sets for modeling and solving problems of optimal placement of charging stations of electric vehicles with simultaneous determination of their service areas, taking into account the possibility of overlap.


2014 ◽  
Vol 30 (2) ◽  
pp. 77-87 ◽  
Author(s):  
Yuri Palagin ◽  
Alexander Mochalov ◽  
Alexey Timonin

There are presented the mathematical models, routing algorithms and calculation algorithms for cargo flows in transport-terminal road-air-railways networks of multimodal transport operators


2012 ◽  
Author(s):  
Lianping Ti ◽  
◽  
Despina Tzemis ◽  
Margot Kuo ◽  
Jane Buxton

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