Geodesic
Equilibrium supply-demand allocation in a single-commodity network
Contributions to game theory and management, Tome 15 (2022), pp. 121-131

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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.
Keywords: nonlinear optimization, distribution network, relocation, homogeneity. 
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     title = {Equilibrium supply-demand allocation in a single-commodity network},
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Alexander Y. Krylatov; Anastasiya P. Raevskaya; Jiangrong Li. Equilibrium supply-demand allocation in a single-commodity network. Contributions to game theory and management, Tome 15 (2022), pp. 121-131. http://geodesic.mathdoc.fr/item/CGTM_2022_15_a10/