Abstract
Methods and models for decision-making on the allocation of resources that are sufficiently important area of modern science are developed in this chapter. Need to take account of probability factors requires the development of stochastic models, and the desire of the decision to reduce the damage caused by the deterioration of the environment requires the development of methods of correction the original plan, and, therefore, leads to multistage models and methods of their optimization. The complex of mathematical methods and decision making models of distribution of resources in conditions of incomplete information on the base of using combined target functionals built by the classical principles of choice, such as egalitarianism and utilitarianism are used for analysis and modeling of right distribution of production and investment resources by the region/industry development in order to forecast the situation of managing risks of distribution resources within changing of social-economic sphere of considered projects.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Mulen, E.: Cooperative Decision Making: Axioms and Models. Mir, Moscow (1991), p. 463
Gowdy, J.: Limited Wants, Unlimited Means: A Reader on Hunter-Gatherer Economics and the Environment. Island Press, St Louis (1998), p. 342
Mill, J.S., Crisp, R. (eds.): Utilitarianism, pp. 56–67. Oxford University Press, Oxford (1998)
Koroteyev, S.V., Bykova, I.Yu.: Investigation of the problem of aggregation of individual preferences in the decision-making process. VKGTU Vestn. 1, 67–71 (2004)
Errow, K.G.: A Collective Choice and Individual Preferences. Mir, Moscow (1973)
Harsanyi, J.C., Zelten, R.: General Theory of Choosing Equilibrium in Games. Mir, Moscow (1982)
Erfani, T., Utyuzhnikov, S.V.: Directed search domain: a method for even generation of the Pareto frontier in multiobjective optimization. Eng. Optim. 43(5), 467–484 (2011)
Makarov, I.M., Vinogradskaya, T.M., Rubchinsky, A.A., Sokolov, V.B.: The Theory of Choice and Decision-Making. Nauka, Moscow (1982), p. 328
Lezina, Z.M.: Procedures of collective choice. Avtom. Telemeh. 8, 3–35 (1987)
Volsky, V.I.: Tournament functions in the problems of collective and multiple criteria choice. In: Theory of Structures, pp. 67–85. Nauka, Moscow (1987)
Harsanyi, J.C.: Cardinal welfare, individualistic ethics and interpersonal comparisons of utility. J. Polit. Econ. 63, 309–321 (1955)
Nash, J.F.: Equilibrium points in N-person games. Proceedings of the National Academy of Sciences 36(36), 48–49 (1950)
Petrosyan, L.A., Zenkevich, N.A., Semina, E.A.: Games Theory. Vyshaya Shkola, Moscow (1998)
Andreatta, G., Dell’Olmo, P., Lulli, G.: An aggregate stochastic programming model for air traffic flow management. Eur. J. Oper. Res. 215(3), 697–704 (2011)
Koroteyev, S.V.: Multiple criteria utility function in the conditions of certainty. In: Role of Technical Universities in the Development of Innovation Economy: RNTK Materials, pp. 6–9. VKGTU, Ust-Kamenogorsk (2007)
Koroteyev, S.V.: Use of the stochastic programming apparatus for the analysis of expediency of equipment purchasing. In: Role of Technical Universities in the Development of Innovation Economy: RNTK Materials, pp. 3–5. VKGTU, Ust-Kamenogorsk (2007)
Mutanov, G.M., Koroteyev, S.V., Bykova, I.Yu.: Implementation of preferences in the multiple criteria decision-making problems. In: MNTK “Automation & Control: Perspectives, Problems, Decisions”: Collection of Papers, pp. 82–86. KazNTU, Almaty (2007)
Mutanov, G.M., Koroteyev, S.V., Bykova, I.Yu.: Problems of multiple criteria optimization. In: MNTK “Automation & Control: Perspectives, Problems, Decisions”: Collection of Papers, pp. 79–82. KazNTU, Almaty (2007)
Koroteyev, S.V.: Modelling of resource allocation processes with a combined target functional. In: Innovation and Communication Technologies as the Main Factor of the Innovation Society Development: Collection of Papers, MNPK, pp. 225–228. VKGTU, Ust-Kamenogorsk (2007), p. II
Koroteyev, S.V.: One-stage stochastic models of resource allocation with a combined target functional. In: Innovation and Communication Technologies as the Main Factor of the Innovation Society Development: Collection of Papers, MNPK, pp. 229–235. VKGTU, Ust-Kamenogorsk (2007), p. II
Koroteyev, S.V.: A combined policy of distribution of resources of an enterprise. Sci. Innov., Mater. IV MNPK 11, 9–12 (2008). Prshemysl (Poland)
Yudin, D.B.: Mathematical Methods of Control in Conditions of Incomplete Information: Objectives and Methods of Stochastic Programming. Mathematical Methods of Control with Incomplete Information: Problems and Methods of Stochastic Programming, 2nd edn. (2010), p. 400 (In Russian)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Mutanov, G. (2015). Multi-Objective Stochastic Models for Making Decisions on Resource Allocation. In: Mathematical Methods and Models in Economic Planning, Management and Budgeting. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45142-7_7
Download citation
DOI: https://doi.org/10.1007/978-3-662-45142-7_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-45141-0
Online ISBN: 978-3-662-45142-7
eBook Packages: Business and EconomicsEconomics and Finance (R0)