We study a periodic review inventory system with finite ordering capacity, and assume the variable ordering cost would be discounted when the ordering quantity is the full capacity. Applying the concept of strong CK-concavity, we show that the optimal pricing and ordering strategy could be partially characterized by an (S, S′, p) strategy in four regions depending on the starting inventory level per period. Numerical experiments verify the proposed strategy.
Keywords: Optimal strategy, finite ordering capacity, discounted variable cost, periodic review inventory system
@article{RO_2022__56_5_3461_0,
author = {Zhu, Chenbo and Yang, Baimei and Ma, Hongwei and Gao, Chunyan and Chen, Jiahao},
title = {Optimal strategy for a periodic review inventory system with discounted variable cost and finite ordering capacity},
journal = {RAIRO. Operations Research},
pages = {3461--3470},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {5},
doi = {10.1051/ro/2022154},
mrnumber = {4494411},
zbl = {1502.90016},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2022154/}
}
TY - JOUR AU - Zhu, Chenbo AU - Yang, Baimei AU - Ma, Hongwei AU - Gao, Chunyan AU - Chen, Jiahao TI - Optimal strategy for a periodic review inventory system with discounted variable cost and finite ordering capacity JO - RAIRO. Operations Research PY - 2022 SP - 3461 EP - 3470 VL - 56 IS - 5 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2022154/ DO - 10.1051/ro/2022154 LA - en ID - RO_2022__56_5_3461_0 ER -
%0 Journal Article %A Zhu, Chenbo %A Yang, Baimei %A Ma, Hongwei %A Gao, Chunyan %A Chen, Jiahao %T Optimal strategy for a periodic review inventory system with discounted variable cost and finite ordering capacity %J RAIRO. Operations Research %D 2022 %P 3461-3470 %V 56 %N 5 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2022154/ %R 10.1051/ro/2022154 %G en %F RO_2022__56_5_3461_0
Zhu, Chenbo; Yang, Baimei; Ma, Hongwei; Gao, Chunyan; Chen, Jiahao. Optimal strategy for a periodic review inventory system with discounted variable cost and finite ordering capacity. RAIRO. Operations Research, Tome 56 (2022) no. 5, pp. 3461-3470. doi: 10.1051/ro/2022154
[1] and , An exact algorithm for the Capacitated Total Quantity Discount Problem. Eur. J. Oper. Res. 222 (2012) 287–300. | MR | Zbl
[2] and , Optimal sourcing from alternative capacitated suppliers with general cost structures. Omega Int. J. Manage. Sci. 58 (2016) 26–32.
[3] and , An inventory model with limited production capacity and uncertain demands I. The average cost criterion. Math. Oper. Res. 11 (1986) 193–207. | MR | Zbl
[4] and , An inventory model with limited production capacity and uncertain demands II. The discounted cost criterion. Math. Oper. Res. 11 (1986) 208–215. | MR | Zbl
[5] and , band and modified policy. Oper. Res. 44 (1996) 1013–1019. | Zbl
[6] , The infinite horizon periodic review problem with setup costs and capacity constraints: a partial characterization of the optimal policy. Oper. Res. 52 (2004) 409–421. | MR | Zbl
[7] and , Capacitated inventory problems with fixed order costs: some optimal policy structure. Eur. J. Oper. Res. 126 (2000) 603–613. | MR | Zbl
[8] and , All-or-nothing ordering under a capacity constraint. Oper. Res. 52 (2004) 1001–1002. | MR | Zbl
[9] , and , Dynamic inventory and pricing policy in a capacitated stochastic inventory system with fixed ordering cost. Oper. Res. Lett. 40 (2012) 99–107. | MR | Zbl
[10] , On the optimality of the generalized policies. Manage. Sci. 17 (1971) 411–426. | Zbl
[11] , and , Optimal inventory policy with two suppliers. Oper. Res. 54 (2004) 389–393. | Zbl
[12] and , Optimal policy for a periodic-review inventory system under a supply capacity contract. Oper. Res. 56 (2008) 59–68. | MR | Zbl
[13] , and , Preservation of quasi--concavity and its applications. Oper. Res. 58 (2010) 1012–1016. | MR | Zbl
[14] , and , Ordering policies for periodic-review inventory systems with quantity-dependent fixed costs. Oper. Res. 60 (2012) 1–12. | MR | Zbl
[15] , Inventory control and price theory. Manage. Sci. 2 (1955) 61–80.
[16] and , Pricing and the newsvendor problem: a review with extensions. Oper. Res. 47 (1999) 183–194. | Zbl
[17] , Price and production decisions with random demand. Oper. Res. 22 (1974) 513–518. | Zbl
[18] , Simultaneous price-production decisions. Oper. Res. 22 (1974) 788–794. | MR | Zbl
[19] and , Optimal pricing and production in an inventory model. Eur. J. Oper. Res. 19 (1985) 45–56. | MR | Zbl
[20] and , Combined pricing and inventory control under uncertainty. Oper. Res. 47 (1999) 454–475. | MR | Zbl
[21] and , Optimal procurement policies under price-dependent demand. Int. J. Prod. Econ. 65 (2000) 141–171.
[22] and , Coordinating inventory control and pricing strategies with random demand and fixed ordering cost: the finite horizon case. Oper. Res. 52 (2004) 887–896. | MR | Zbl
Cité par Sources :





