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.

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.

DOI : 10.1051/ro:2007010
Mots clés : inventory, backorder, deterministic demand, multiple discounts
@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 = {http://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  - http://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 http://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. http://www.numdam.org/articles/10.1051/ro:2007010/

[1] M.S. Chen and M.C. Chu, The analysis of optimal price control model in matching problem between production and sales. Asia-Pacific J. Oper. Res. 18 (2001) 131-148. | Zbl

[2] H.N. Chiu, A good approximation of the inventory level in a (Q,r) perishable inventory system. RAIRO Oper. Res. 33 (1999) 29-45. | Numdam | Zbl

[3] D.S. Dave, K.E. Fitzpatrick and J.R. Baker, An advertising-inclusive production lot size model under continuous discount pricing. Computers and Industrial Engineering 30 (1995) 147-159.

[4] Y. Feng and G. Gallego, Optimal stopping times for end of season sales and optimal stopping times for promotional fares. Management Science 41 (1995) 1371-1391. | Zbl

[5] Y. Feng and B. Xiao, Optimal policies of yield management with multiple predetermined prices. Oper. Res. 48 (2000) 332-343.

[6] G. Gallego and I. Moon, The distribution free newsboy problem review and extensions. J. Oper. Res. Soc. 44 (1993) 825-834. | Zbl

[7] G. Gallego and G.V. Ryzin, Optimal dynamic pricing of inventories with stochastic demand over finite horizons. Management Science 40 (1994) 999-1020. | Zbl

[8] Y. Gerchak and M. Parlar, A single period inventory problem with partially controllable demand. Comput. Oper. Res. 14 (1987) 1-9. | Zbl

[9] S. Kar, A.K. Bhunia and M. Maiti, 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

[10] M. Khouja, Note on the newsboy problem with an emergency supply option. J. Oper. Res. Soc. 47 (1996) 1530-1534. | Zbl

[11] M. Khouja and A. Mehrez, A multi-product constrained newsboy problem with progressive multiple discounts. Comput. Industrial Engineering 30 (1996) 95-101.

[12] M. Khouja, The single-period (news-vendor) problem: literature review and suggestions for future research. Omega-Int. J. Management Science 27 (1999) 537-553.

[13] M. Khouja, Optimal ordering, discounting, and pricing in the single-period problem. Int. J. Production Economics 65 (2000) 201-216.

[14] M. Khouja, The newsboy problem under progressive multiple discounts. European J. Oper. Res. 83 (1995) 606-614. | Zbl

[15] A. Lau and H. Lau, The newsboy problem with price-dependent demand distribution. IIE Transactions 20 (1988) 168-175.

[16] I. Moon and S. Choi, The distribution free newsboy problem with balking. J. Oper. Res. Soc. 46 (1995) 537-542. | Zbl

[17] N.C. Petruzzi and M. Dada, Pricing and the newsvendor problem: a review with extensions. Oper. Res. 47 (1999) 183-194. | Zbl

[18] L.H. Polatoglu, Optimal order quantity and pricing decisions in single-period inventory systems. Int. J. Production Economics 23 (1991) 175-185.

[19] S.W. Shinn and H. Hwang, Optimal pricing and ordering policies for retailers under order-size-dependent delay in payments. Comput. Oper. Res. 30 (2003) 35-50. | Zbl

[20] T.L. Urban and R.C. Baker, Optimal ordering and pricing policies in a single-period environment with multivariate demand and markdowns. Eur. J. Oper. Res. 103 (1997) 573-583. | Zbl

[21] H.M. Wee, A replenishment policy for items with a price dependent demand and a varying rate of deterioration. Production Planning Control 8 (1997) 494-499.

Cité par Sources :