Systems and Means of Informatics
2017, Volume 27, Issue 4, pp 80-94
OPTIMAL INVENTORY CONTROL OF CONTINUOUS PRODUCT IN REGENERATION THEORY WITH DETERMINATE DELAY OF THE DELIVERY AND THE PERIOD OF REAL REPLENISHMENT
- P. V. Shnurkov
- E. Yu. Pimenova
Abstract
The problem of inventory control in the stochastic model of regeneration is investigated. The purpose is to find a theoretical solution of the optimal control problem. To solve the problem, the authors have found the distribution function of a random time from the replenishment moment till the next order which determines the optimal replenishing product plan. It is proved that the initial problem solution exists and it is attained on the degenerate probability distribution. In addition, the optimal deterministic value of the control parameter is the global extreme point of a function which was expressed in an analytical representation. The existence of deterministic optimal control assertion was proved. The authors have specified the analytical conditions on the initial model characteristics under which the optimal control exists.
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[+] About this article
Title
OPTIMAL INVENTORY CONTROL OF CONTINUOUS PRODUCT IN REGENERATION THEORY WITH DETERMINATE DELAY OF THE DELIVERY AND THE PERIOD OF REAL REPLENISHMENT
Journal
Systems and Means of Informatics
Volume 27, Issue 4, pp 80-94
Cover Date
2017-10-30
DOI
10.14357/08696527170406
Print ISSN
0869-6527
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
optimal control in stochastic systems; inventory management; controlled regenerating process
Authors
P. V. Shnurkov  and E. Yu. Pimenova
Author Affiliations
National Research University Higher School of Economics, 34 Tallinskaya Str., Moscow 123458, Russian Federation
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