The solution of the transport problem by the method of the smallest element based on the use of complex numbers in the algorithm

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41110%2F23%3A94702" target="_blank" >RIV/60460709:41110/23:94702 - isvavai.cz</a>
Result on the web
<a href="https://www.e3s-conferences.org/articles/e3sconf/abs/2023/39/e3sconf_transsiberia2023_03045/e3sconf_transsiberia2023_03045.html" target="_blank" >https://www.e3s-conferences.org/articles/e3sconf/abs/2023/39/e3sconf_transsiberia2023_03045/e3sconf_transsiberia2023_03045.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1051/e3sconf/202340203045" target="_blank" >10.1051/e3sconf/202340203045</a>

Result language
angličtina
Original language name
The solution of the transport problem by the method of the smallest element based on the use of complex numbers in the algorithm
Original language description
To determine whether a transport problem has a solution , you can use the Lagrange multiplier method . To do this, it is advisable to replace variables so that the objective function is a sum of exponentials. The peculiarity of the sum of exponents is that the principal diagonal minors of the Hessian of the sum of exponents are positive quantities , and therefore the sum of exponents has an extremum and this extremum is the minimum. Solutions of large - dimensional transport tasks are of great practical importance for optimizing transportation schedules by transport enterprises . There are several algorithms for solving this problem, but the development of other methods for solving the transport problem that would use computing power more efficiently deserves attention. The method proposed in this paper for solving the transport problem based on the use of complex numbers in the algorithm makes it simpler and more visual for practical application.
Czech name
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Czech description
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Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
International Scientific Siberian Transport Forum - TransSiberia 2023
ISBN
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ISSN
2267-1242
e-ISSN
2267-1242
Number of pages
7
Pages from-to
1-7
Publisher name
E3S Web of Conferences
Place of publication
402
Event location
Novosibirsk
Event date
Jan 1, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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