Author:
Blancas-Rivera Rubén,Cruz-Suárez Hugo,Portillo-Ramírez Gustavo,López-Ríos Ruy
Abstract
<abstract><p>This paper presents a characterization of $ (s, S) $-inventory policies for Lindley systems with possibly unbounded costs, where the objective is to minimize the expected discounted total cost by ordering (production) strategies. Moreover, the existence of a subsequence of minimizers of the value iteration functions that converge to a $ (s, S) $ optimal inventory system policy is shown. A numerical example is given to illustrate the theory.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference31 articles.
1. E. Ahmadi, H. Mosadegh, R. Maihami, I. Ghalehkhondabi, M. Sun, G. A. Süer, Intelligent inventory management approaches for perishable pharmaceutical products in a healthcare supply chain, Comput. Oper. Res., 147 (2022), 105968. https://doi.org/10.1016/j.cor.2022.105968
2. Y. Aneja, A. Noori, The optimality of (s, S) policies for a stochastic inventory problem with proportional and lump-sum penalty cost, J. Manag. Sci., 33 (1987), 750–755. https://doi.org/10.1287/mnsc.33.6.750
3. R. Ash, Real analysis and probability, New York: Academic Press, 1972. https://doi.org/10.1016/C2013-0-06164-6
4. Y. Barron, O. Baron, QMCD Approach for perishability models: The (S, s) control policy with lead time, IISE Trans., 52 (2020), 133–150. https://doi.org/10.1080/24725854.2019.1614697
5. A. Bensoussan, Dynamic programming and inventory control, In: Studies in Probability, Amsterdam: IOS Press, 3 (2011). https://doi.org/10.3233/978-1-60750-770-3-i