Geodesic
A mathematical model of goods production and sale for production supervision and planning
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 1, pp. 39-45 
A. A. Gorsky; B. Ya. Lokshin. A mathematical model of goods production and sale for production supervision and planning. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 1, pp. 39-45. http://geodesic.mathdoc.fr/item/FPM_2002_8_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The paper presents a nonlinear dynamical model of goods production and sale. It can be used for production planning and as a submodel of more complicated models of economics, for instance in models of cooperation and competition. The appropriate strategy of production guarantees the desired features of the processes and maximizes the return. Optimisation can be performed by standard control design methods. Several practical examples with interesting dynamic behavior are presented.

[1] Gorskii A. A., Kolpakova I. G., Lokshin B. Ya., Pokrovskaya S. A., “Ob odnoi dinamicheskoi modeli protsessa proizvodstva, khraneniya i sbyta”, Izv. RAN. Tekhnicheskaya kibernetika, 3 (1992), 190–193

[2] Krass I. A., Matematicheskie modeli ekonomicheskoi dinamiki, Sov. radio, M., 1976