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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

50202 - Applied Economics, Econometrics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

International Scientific Siberian Transport Forum - TransSiberia 2023

ISBN

—

ISSN

2267-1242

e-ISSN

2267-1242

Počet stran výsledku

7

Strana od-do

1-7

Název nakladatele

E3S Web of Conferences

Místo vydání

402

Místo konání akce

Novosibirsk

Datum konání akce

1. 1. 2023

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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