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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2016, Volume 1, Issue 1, Pages 24–34 (Mi chfmj3)  
Mathematics

Optimality conditions for the two-period inventory management problem in case of the stochastic demand

T. B. Bigildeeva, M. V. Sopko

Chelyabinsk State University, Chelyabinsk, Russia
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Abstract: The multi-period inventory management problems in case of the stochastic demand in order to maximize the total expected profit in the case of loss and in the case of a pending unsatisfied demand are described. The relationship between these problems is shown and the existence of the solutions of these problems is proved. The necessary and sufficient optimality conditions for the two-period problem of expected profit maximization in the case of a pending unsatisfied demand are obtained.
Keywords: inventory management, two-period dynamic model, stochastic demand, total expected profit maximization, optimality conditions.
Received: 10.11.2015
Revised: 01.02.2016
Bibliographic databases:
Document Type: Article
UDC: 519.86
Language: Russian
Citation: T. B. Bigildeeva, M. V. Sopko, “Optimality conditions for the two-period inventory management problem in case of the stochastic demand”, Chelyab. Fiz.-Mat. Zh., 1:1 (2016), 24–34
Citation in format AMSBIB
\Bibitem{BigSop16}
\by T.~B.~Bigildeeva, M.~V.~Sopko
\paper Optimality conditions for the two-period inventory management problem in case of the stochastic demand
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2016
\vol 1
\issue 1
\pages 24--34
\mathnet{http://mi.mathnet.ru/chfmj3}
\elib{https://elibrary.ru/item.asp?id=27541603}
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