Stochastic model of optimization of production large-nomenclature plan

Аuthors

Kozelkov O. A.

Scientific-production enterprise «Kant», 12/7, Talalikhina str., Moscow, 109316, Russia

e-mail: kozelkov@pochta.ru

Abstract

Subject of study in the article are models and methods of personnel reserve formation of enterprise modernization projects. The aim is to develop methods of competency provision evaluation of the staff in order to improve the efficiency of personnel maintenance of the project.

Tasks are: planning and estimation of goods production volumes taking into account the presence of raw materials, power, ware-house and other resources, the imaginary from products realization profit and production inputs; evaluation of the required composition of enterprise equipment and the perspective plan of production, composition and technical descriptions of equipment.

Methods are: mathematical models of production plans optimization with stochastic presentation of parameters; method of indefinite multipliers of Lagrange.

The following results were obtained. It is shown that problem of production planning is in unstable terms, in particular: level of material well-being by resources, occured from realization of products, expenses on storage of unsold parts, losses from a deficit taken to the task of the mathematical programming. The exact and close algorithms are offered for the decision-making in this task. Parametrization of task, providing possibility of construction of calculable procedure decision, adaptive to changing descriptions of production and products realization, is conducted. Intercommunication between the index of products issue planning realizability and probabilistic character of production parameters is investigated.

Conclusion. In the result the model of planning of large-nomenclature production is improved in the conditions of vagueness. It can be used for solving the production planning problem for maximal realizability in the set term taking into account the estimation of the resource providing.

Keywords:

planning of production, stochastic model of optimization, estimation of realizability, resource providing

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