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Diskretnaya Matematika, 2014, Volume 26, Issue 1, Pages 143–154
DOI: https://doi.org/10.4213/dm1274 (Mi dm1274) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Analysis of a discrete semi-Markov model of continuous inventory control with periodic interruptions of consumption

P. V. Shnurkov, A. V. Ivanov

Moscow State Institute of Electronics and Mathematics — Higher School of Economics
Full-text PDF (197 kB) Citations (8)
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DOI: https://doi.org/10.4213/dm1274
Abstract: We consider a discrete stochastic model of inventory control based on a controlled semi-Markov process. Probabilistic characteristics of the semi-Markov process are found along with characteristics of a stationary cost functional connected with this process. It is proved that an optimal policy of inventory control is a deterministic one. Explicit analitical representation of stationary functional characterising the control quality is obtained. An optimal control problem is reduced to the solution of an extremal problem for a multivariate function.
Keywords: inventory control, semi-Markov process, optimal control.
Received: 05.06.2012
English version:
Discrete Mathematics and Applications, 2015, Volume 25, Issue 1, Pages 59–67
DOI: https://doi.org/10.1515/dma-2015-0006
Bibliographic databases:
Document Type: Article
UDC: 519.218.32
Language: Russian
Citation: P. V. Shnurkov, A. V. Ivanov, “Analysis of a discrete semi-Markov model of continuous inventory control with periodic interruptions of consumption”, Diskr. Mat., 26:1 (2014), 143–154; Discrete Math. Appl., 25:1 (2015), 59–67
Citation in format AMSBIB
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\pages 143--154
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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