This paper investigates an inventory control problem where a firm orders and sells an inventory item through discount strategy in a price sensitive market. From the economic points of view, customers may expect a further price reduction when a firm uses pricing promotion to stimulate demand, the demand curve may vertically shift down when a firm reduces the selling price. Taking these phenomena into account, this paper developed a continuous inventory model for finding the ordering quantity, the number of pricing changing and times of price changes simultaneously so as to maximize the total profit. A solution procedure is developed for finding the optimal decision rules.
@article{RO_2007__41_1_35_0, author = {You, Peng-Sheng}, title = {Optimal times of price reductions for an inventory model with partial backorder and vertical shift demand}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {35--47}, publisher = {EDP-Sciences}, volume = {41}, number = {1}, year = {2007}, doi = {10.1051/ro:2007010}, mrnumber = {2310538}, language = {en}, url = {https://www.numdam.org/articles/10.1051/ro:2007010/} }
TY - JOUR AU - You, Peng-Sheng TI - Optimal times of price reductions for an inventory model with partial backorder and vertical shift demand JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2007 SP - 35 EP - 47 VL - 41 IS - 1 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro:2007010/ DO - 10.1051/ro:2007010 LA - en ID - RO_2007__41_1_35_0 ER -
%0 Journal Article %A You, Peng-Sheng %T Optimal times of price reductions for an inventory model with partial backorder and vertical shift demand %J RAIRO - Operations Research - Recherche Opérationnelle %D 2007 %P 35-47 %V 41 %N 1 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro:2007010/ %R 10.1051/ro:2007010 %G en %F RO_2007__41_1_35_0
You, Peng-Sheng. Optimal times of price reductions for an inventory model with partial backorder and vertical shift demand. RAIRO - Operations Research - Recherche Opérationnelle, Tome 41 (2007) no. 1, pp. 35-47. doi : 10.1051/ro:2007010. https://www.numdam.org/articles/10.1051/ro:2007010/
[1] The analysis of optimal price control model in matching problem between production and sales. Asia-Pacific J. Oper. Res. 18 (2001) 131-148. | Zbl
and ,
[2] A good approximation of the inventory level in a (
[3] An advertising-inclusive production lot size model under continuous discount pricing. Computers and Industrial Engineering 30 (1995) 147-159.
, and ,[4] Optimal stopping times for end of season sales and optimal stopping times for promotional fares. Management Science 41 (1995) 1371-1391. | Zbl
and ,[5] Optimal policies of yield management with multiple predetermined prices. Oper. Res. 48 (2000) 332-343.
and ,[6] The distribution free newsboy problem review and extensions. J. Oper. Res. Soc. 44 (1993) 825-834. | Zbl
and ,[7] Optimal dynamic pricing of inventories with stochastic demand over finite horizons. Management Science 40 (1994) 999-1020. | Zbl
and ,[8] A single period inventory problem with partially controllable demand. Comput. Oper. Res. 14 (1987) 1-9. | Zbl
and ,[9] Deterministic inventory model with two levels of storage, a linear trend in demand and a fixed time horizon. Comput. Oper. Res. 28 (2001) 1315-1331. | Zbl
, and ,[10] Note on the newsboy problem with an emergency supply option. J. Oper. Res. Soc. 47 (1996) 1530-1534. | Zbl
,[11] A multi-product constrained newsboy problem with progressive multiple discounts. Comput. Industrial Engineering 30 (1996) 95-101.
and ,[12] The single-period (news-vendor) problem: literature review and suggestions for future research. Omega-Int. J. Management Science 27 (1999) 537-553.
,[13] Optimal ordering, discounting, and pricing in the single-period problem. Int. J. Production Economics 65 (2000) 201-216.
,[14] The newsboy problem under progressive multiple discounts. European J. Oper. Res. 83 (1995) 606-614. | Zbl
,[15] The newsboy problem with price-dependent demand distribution. IIE Transactions 20 (1988) 168-175.
and ,[16] The distribution free newsboy problem with balking. J. Oper. Res. Soc. 46 (1995) 537-542. | Zbl
and ,[17] Pricing and the newsvendor problem: a review with extensions. Oper. Res. 47 (1999) 183-194. | Zbl
and ,[18] Optimal order quantity and pricing decisions in single-period inventory systems. Int. J. Production Economics 23 (1991) 175-185.
,[19] Optimal pricing and ordering policies for retailers under order-size-dependent delay in payments. Comput. Oper. Res. 30 (2003) 35-50. | Zbl
and ,[20] Optimal ordering and pricing policies in a single-period environment with multivariate demand and markdowns. Eur. J. Oper. Res. 103 (1997) 573-583. | Zbl
and ,[21] A replenishment policy for items with a price dependent demand and a varying rate of deterioration. Production Planning Control 8 (1997) 494-499.
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