Equilibrium Flow Assignment in a Network of Homogeneous Goods

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Equilibrium Flow Assignment in a Network of Homogeneous Goods. / Krylatov, A. Yu; Lonyagina, Yu E.

In: Automation and Remote Control, Vol. 83, No. 5, 01.05.2022, p. 805-827.

Research output: Contribution to journal › Article › peer-review

Author

Krylatov, A. Yu ; Lonyagina, Yu E. / Equilibrium Flow Assignment in a Network of Homogeneous Goods. In: Automation and Remote Control. 2022 ; Vol. 83, No. 5. pp. 805-827.

BibTeX

@article{67ceaf3037fa48a293e778cd4b9f23b4,

title = "Equilibrium Flow Assignment in a Network of Homogeneous Goods",

abstract = "Abstract: This paper is devoted to the problem of analyzing the emergence of a nonzero productflow between suppliers and consumers of a certain product that are distant from each other inspace. The problem is formulated as a problem of equilibrium flow assignment in a network ofhomogeneous goods represented by a digraph that models an integrated market for a certainproduct with multiple suppliers and consumers with linear functions of demand, supply, andtransportation. In the problem under study, an explicit form of conditions for identifying activevariables is obtained, as well as an explicit form of the optimal values of the unknown variables.The explicit form of the conditions for the emergence of a nonzero product flow betweensuppliers–consumers will allow developing methodological decision support tools in the field ofanalyzing spatial market relations within the framework of some integrated market ofhomogeneous goods.",

keywords = "flow assignment, network of homogeneous goods, nonlinear optimization",

author = "Krylatov, {A. Yu} and Lonyagina, {Yu E.}",

note = "Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",

year = "2022",

month = may,

day = "1",

doi = "10.1134/s0005117922050113",

language = "English",

volume = "83",

pages = "805--827",

journal = "АВТОМАТИКА И ТЕЛЕМЕХАНИКА",

issn = "0005-2310",

publisher = "Издательство {"}Наука{"}",

number = "5",

}

RIS

TY - JOUR

T1 - Equilibrium Flow Assignment in a Network of Homogeneous Goods

AU - Krylatov, A. Yu

AU - Lonyagina, Yu E.

PY - 2022/5/1

Y1 - 2022/5/1

N2 - Abstract: This paper is devoted to the problem of analyzing the emergence of a nonzero productflow between suppliers and consumers of a certain product that are distant from each other inspace. The problem is formulated as a problem of equilibrium flow assignment in a network ofhomogeneous goods represented by a digraph that models an integrated market for a certainproduct with multiple suppliers and consumers with linear functions of demand, supply, andtransportation. In the problem under study, an explicit form of conditions for identifying activevariables is obtained, as well as an explicit form of the optimal values of the unknown variables.The explicit form of the conditions for the emergence of a nonzero product flow betweensuppliers–consumers will allow developing methodological decision support tools in the field ofanalyzing spatial market relations within the framework of some integrated market ofhomogeneous goods.

AB - Abstract: This paper is devoted to the problem of analyzing the emergence of a nonzero productflow between suppliers and consumers of a certain product that are distant from each other inspace. The problem is formulated as a problem of equilibrium flow assignment in a network ofhomogeneous goods represented by a digraph that models an integrated market for a certainproduct with multiple suppliers and consumers with linear functions of demand, supply, andtransportation. In the problem under study, an explicit form of conditions for identifying activevariables is obtained, as well as an explicit form of the optimal values of the unknown variables.The explicit form of the conditions for the emergence of a nonzero product flow betweensuppliers–consumers will allow developing methodological decision support tools in the field ofanalyzing spatial market relations within the framework of some integrated market ofhomogeneous goods.

KW - flow assignment

KW - network of homogeneous goods

KW - nonlinear optimization

UR - http://www.scopus.com/inward/record.url?scp=85131823330&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/ea20a09c-09ed-328b-9513-7b6907bfb5f2/

U2 - 10.1134/s0005117922050113

DO - 10.1134/s0005117922050113

M3 - Article

AN - SCOPUS:85131823330

VL - 83

SP - 805

EP - 827

JO - АВТОМАТИКА И ТЕЛЕМЕХАНИКА

JF - АВТОМАТИКА И ТЕЛЕМЕХАНИКА

SN - 0005-2310

IS - 5

ER -

ID: 97430257