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ЖУРНАЛЫ // Contributions to Game Theory and Management // Архив

Contributions to Game Theory and Management, 2022, том 15, страницы 121–131 (Mi cgtm419)

Equilibrium supply-demand allocation in a single-commodity network

Alexander Y. Krylatovab, Anastasiya P. Raevskayaa, Jiangrong Lic

a St. Petersburg State University, 7/9, Universitetskaya nab., St. Petersburg, 199034, Russia
b Institute of Applied Mathematical Research of the Karelian Research Centre, of the Russian Academy of Sciences, 11, Pushkinskaya ul., Petrozavodsk, 185035, Russia
c School of Mathematics and Computer Science, Yan'an University, Shengdi Rd, Yan'An, Shaanxi, 716000, China

Аннотация: This paper is devoted to the recent findings in the analytical research of supply-demand allocation in a single-commodity network with distant (in space) suppliers and consumers. The allocation problem is formulated as an equilibrium flow assignment problem with affine functions of demand, supply, and logistic costs in a network represented by a digraph with suppliers and consumers located in nodes. We offer a brief overview of supply-demand relocation patterns obtained for elastic, shortage, and overproduction cases. Such kinds of results seem valuable since they allow one to develop different competitive distribution models to facilitate the decision-making of supply chain managers. In particular, supply chain managers can use available patterns to design decision-making strategies that mitigate risks concerning disruption or ripple effects.

Ключевые слова: nonlinear optimization, distribution network, relocation, homogeneity.

Язык публикации: английский

DOI: 10.21638/11701/spbu31.2022.10



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