Abstract
The relationship between linear programming dual estimates for the optimal production plan model and real regional market costs is studied. A two-stage linear programming model is necessary for exact approximation of cost allocation in analyzing with optimal plan estimates. A sign criterion is formulated for analyzing the reliability of the production planning model based on a comparison of the changes in the regional market costs and optimal plan estimates. An example is given to illustrate the analysis of reliability of the solution.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Kantorovich, L.V., Ekonomicheskii raschet nailuchshego ispol'zovaniya resursov (Best Utilization Of Resources: An Economic Computation), Moscow: Akad. Nauk SSSR, 1959.
Dantzig, G., Linear Programming and Extensions, Princeton: Princeton Univ. Press, 1963. Translated under the title Lineinoe programmirovanie, ego obobshcheniya i primeneniya, Moscow: Progress, 1966.
Volkonskii, V.A., Printsipy optimal'nogo planirovaniya (Principles of Optimal Planning), Moscow: Ekonomika, 1973.
Yudin, D.B. and Yudin, A.D., Ekstremal'nye modeli v ekonomike (Extremal Models in Economics), Moscow: Nauka, 1975.
Propoi, A.I., Modelirovanie resursno-ekonomicheskikh sistem (Modeling of Economic Resource Systems), Moscow: Mos. Ekon. Stat. Inst., 1985.
Lasdon, L.S., Optimization Theory for Large Systems, London: Macmillan, 1969. Translated under the tile Optimizatsiya bol'shikh sistem, Moscow: Nauka, 1975.
Pervozvanskii, A.A., Matematicheskie modeli v upravlenii proizvodstvom (Mathematical Models of Production Management), Moscow: Nauka, 1975.
Suvorov, B.P., Osnovy optimizatsii tekushchego otraslevogo planirovaniya (Optimization Principles of Current Sectorial Planning), Moscow: Ekonomika, 1987.
Didnikov, E.E. and Tsodikov, Yu.M., Tipovye zadachi operativnogo upravlenie nepreryvnym proizvodstvom (Typical Problems in Real-Time Control of Continuous Production), Moscow: Energiya, 1979.
Semenov, V.A., Obzor zarubezhnykh optovykh rynkov elektroenergii (Foreign Wholesale Power Markets: A Review), Ivanovo: RAO EES Ross., 1998.
Cost Allocation: Methods, Principles, Applications, Young, H.P., Ed., Amsterdam: North-Holland, 1985.
Petrochemical Report: Oil and Gas, May 1996, pp. 56–58.
Owen, D.B., Sbornik statisticheskikh tablits (Collected Statistical Tables), Moscow: Vychisl. Tsenter Akad. Nauk SSSR, 1973.
Boldin, M.V., Simonova, G.I., and Tyurin, Yu.N., Znakovyi statisticheskii analiz lineinykh modelei (Statistical Signature Analysis of Linear Models), Moscow: Nauka, 1997.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tsodikov, Y.M., Tsodikova, Y.Y. Dual Estimates of the Optimal Plan Model and Regional Market Costs: A Relationship. Automation and Remote Control 62, 624–629 (2001). https://doi.org/10.1023/A:1010241814077
Issue Date:
DOI: https://doi.org/10.1023/A:1010241814077