UDC 519. 21
1 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
 knopov1@yahoo.com
|
2 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
pepelaev@yahoo.com
|
SOME MULTI-PRODUCT INVENTORY CONTROL MODELS
FOR CRITERION WITH RE-EVALUATION
Abstract. The multi-task model of the inventory theory is considered. The problem of finding the optimal in the class of deterministic stationary Markov strategies is investigated. The theorems for finding the optimal strategies for the problem of finding optimal parameters are proved.
Keywords: Markov processes, inventory control, (s, S )-strategy, optimality criterion, optimal strategy.
full text
REFERENCES
- Daduna H., Knopov P.S., Tur L.P. Optimal strategies for an inventory system with cost functions of general form. Cybernetics and Systems Analysis. 1999. Vol. 35, N 4. P. 602–618. https://doi.org/10.1007/BF02835856 .
- Demchenko S.S., Knopov A.P., Pepelyaev V.A. Optimal strategies for inventory control systems with a convex cost functions. Cybernetics and Systems Analysis. 2000. Vol. 36, N 6. P. 891–897. https://doi.org/10.1023/A:1009413511883 .
- Knopov O.P., Pepelyaev V.A. On optimal strategies for inventory management systems with convex cost functions. Komp'yuterna matematyka. 2005. N 3. P. 116–121.
- Knopov A.P., Pepelyaev V.A. Some continuous models of inventory control. Cybernetics and Systems Analysis. 2005. Vol. 41. N 3. P. 465–467. https://doi.org/10.1007/s10559-005-0080-1.
- Pepelyaeva T.V., Vovk L.B., Demchenko I.Yu. On a problem of a multi-item model of inventory theory. Upravlyayushchiye sistemy i mashiny. 2015. N 2. P. 32–38.
- Pepelyaeva T.V., Vovk L.B., Demchenko I.Yu. Optimal strategies for the multi-task inventory control model. Cybernetics and Systems Analysis. 2016. Vol. 52, N 1. P. 107–112. https://doi.org/10.1007/s10559-016-9805-6.
- Knopov P.S., Pepelyaeva T.V., Demchenko I.Yu. A semi-Markov inventory control model. Cybernetics and Systems Analysis. 2016. Vol. 52, N 5. P. 730–736. https://doi.org/10.1007/ s10559-016-9874-6.
- Knopov P.S., Pepelyaeva T.V. Some multidimensional stochastic models of inventory control with a separable cost function. Cybernetics and Systems Analysis. 2022. Vol. 58, N 4. P. 523–529. https://doi.org/10.1007/s10559-022-00487-6.
- Gubenko L.G., Shtatland E.S. On controlled Markov processes with discount time. Theor. ver. and mat. stat. 1972. Iss. 7. P. 51–64.
- Headly G., Whitin T.M. Analysis of inventory systems. N.J. Englewood Сliffs: Prentice Hall, 1963. 365 p.
