Research output: Contribution to journal › Conference article › peer-review
A mathematical model of dynamic interaction between two mining enterprises and one processing is formalized and studied in the paper. The process of interaction is described by a system of three delay differential equations. The criterion for asymptotic stability of nontrivial equilibrium point is obtained when all three enterprises co-work steadily. The problem is reduced to finding stability criterion for quasi-polynomial of third order. We found time intervals between deliveries of raw materials and manufacturing of finished products, in which the process of interaction of the three agents is stable.
Original language | English |
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Article number | 01051 |
Journal | E3S Web of Conferences |
Volume | 193 |
DOIs | |
State | Published - 8 Oct 2020 |
Event | 2020 International Conference on Modern Trends in Manufacturing Technologies and Equipment, ICMTMTE 2020 - Sevastopol, Russian Federation Duration: 7 Sep 2020 → 11 Sep 2020 |
ID: 71871753