Inventory policy for deteriorating seasonal products with price and ramp-type time dependent demand
Wang, Chuanxu1 ; Jiang, Liangkui2
1 School of Economics and Management, Shanghai Maritime University, Shanghai 201306, P.R. China
2 College of Arts and Science, Shanghai Maritime University, Shanghai 201306, P.R. China
RAIRO - Operations Research - Recherche Opérationnelle, Tome 49 (2015) no. 5, pp. 865-878.

In this paper, we investigate the problem of simultaneously determining the order quantity and optimal prices for deteriorating products with price and ramp-type time dependent demand. We assume that a retailer has the opportunity to adjust prices before the end of the sales season to increase demand, decrease deterioration, and improve revenues. A mathematical model is developed to jointly optimize the order quantity, time interval for any two successive price changes, and the corresponding prices. An algorithm is provided to find the optimal solution to the proposed model. Finally, we use a numerical example to verify the availability of this model.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2015033
Classification : 65k05
Mots-clés : Deterioration, dynamic pricing, inventory, ramp-type time dependent demand
Wang, Chuanxu 1 ; Jiang, Liangkui 2

1 School of Economics and Management, Shanghai Maritime University, Shanghai 201306, P.R. China
2 College of Arts and Science, Shanghai Maritime University, Shanghai 201306, P.R. China 
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     title = {Inventory policy for deteriorating seasonal products with price and ramp-type time dependent demand},
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Wang, Chuanxu; Jiang, Liangkui. Inventory policy for deteriorating seasonal products with price and ramp-type time dependent demand. RAIRO - Operations Research - Recherche Opérationnelle, Tome 49 (2015) no. 5, pp. 865-878. doi : 10.1051/ro/2015033. http://archive.numdam.org/articles/10.1051/ro/2015033/

S. Banerjee and A. Sharma, Optimal procurement and pricing policies for inventory models with price and time dependent seasonal demand. Math. Comput. Model. 51 (2010) 700–714. | DOI | MR | Zbl

L. Benkherouf, On an inventory model with deteriorating items and decreasing time-varying demand and shortages. Eur. J. Oper. Res. 86 (1995) 293–299. | DOI | Zbl

S. Bose, A. Goswami and K.S. Chaudhuri, An EOQ Model for deteriorating items with linear time-dependent demand rate and shortages under inflation and time discounting. J. Oper. Res. Soc. 46 (1995) 771–782. | DOI | Zbl

M. Cheng, B. Zhang and G. Wang, Optimal policy for deteriorating items with trapezoidal type demand and partial backlogging. Appl. Math. Model. 35 (2011) 3552–3560. | DOI | MR | Zbl

D.S. Dave, K.E. Fitzpatrick and J.R. Baker, An advertising inclusive production lot size model under continuous discount pricing. Comput. Ind. Eng. 30 (1995) 147–159. | DOI

B.C. Giri, A.K. Jalan and K.S. Chadhuri, Economic Order Quantity model with Weibull deterioration distribution, shortage and ramp-type demand. Int. J. Syst. Sci. 34 (2003) 237–243. | DOI | MR | Zbl

A. Goswami and K.S. Chaudhuri, An EOQ model for deteriorating items with shortages and a linear trend in demand. J. Oper. Res. Soc. 42 (1991) 1105–1110. | DOI | Zbl

P. Guchhait, M.K. Maiti and M. Maiti, Inventory policy of a deteriorating item with variable demand under trade credit period. Comput. Ind. Eng. 76 (2014) 75–88. | DOI

B.K. Hamid, Replenishment schedule for deteriorating items with time-proportional demand. J. Oper. Res. Soc. 40 (1989) 75–81. | DOI | Zbl

M.A. Hariga and L. Benkherouf, Optimal and heuristic inventory replenishment models for deteriorating items with exponential time-varying demand. Eur. J. Oper. Res. 79 (1994) 123–137. | DOI | Zbl

R.M. Hill, Optimal EOQ models for deteriorating items with time-varying demand. J. Oper. Res. Soc. 47 (1995) 1228–1246. | Zbl

S. Khanra and K.S. Chaudhuri, A note on an order-level inventory model for a deteriorating item with time-dependent quadratic demand. Comput. Oper. Res. 30 (2003) 1901–1916. | DOI | Zbl

S. Khanra, S.K. Ghosh and K.S. Chowdhuri, An EOQ model for a deteriorating item with time dependent quadratic demand under permissible delay in payments. Appl. Math. Comput. 218 (2011) 1–9. | MR | Zbl

M.J. Khouja, Optimal ordering, discounting, and pricing in the single-period problem. Int. J. Prod. Econ. 65 (2000) 201–216. | DOI

R. Maihami and I.N. Kamalabadi, Joint pricing and inventory control for noninstantaneous deteriorating items with partial backlogging and time and price dependent demand. Int. J. Prod. Econ. 136 (2012) 116–122. | DOI

S.K. Manna and K.S. Chaudhuri, An EOQ model with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages. Eur. J. Oper. Res. 171 (2006) 557–566. | DOI | Zbl

Shilpi Pala, G.S. Mahapatra and G.P. Samanta, A production inventory model for deteriorating item with ramp type demand allowing inflation and shortages under fuzziness. Econ. Model. 46 (2015) 334–345. | DOI

B. Sarkar, S. Saren and H.M. Wee, An inventory model with variable demand, component cost and selling price for deteriorating items. Econ. Model. 30 (2013) 306–310. | DOI

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. | DOI | Zbl

J.T. Teng and C.T. Chang, Economic production quantity models for deteriorating items with price- and stock-dependent demand. Comput. Oper. Res. 32 (2005) 297–308. | DOI | MR | Zbl

T.L. Urban, Inventory models with inventory-level-dependent demand: a comprehensive review and unifying theory. Eur. J. Oper. Res. 162 (2005) 792–804. | DOI | Zbl

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. | DOI | Zbl

C. Wang and R. Huang, Pricing for seasonal deteriorating products with price- and ramp-type time-dependent demand. Comput. Ind. Eng. 77 (2014) 29–34. | DOI

C. Wang, R. Huang and Q. Wei, Integrated pricing and lot-sizing decision in a two-echelon supply chain with a finite production rate. Int. J. Prod. Econ. 161 (2015) 44–53. | DOI

K.S. Wu, An EOQ model for items with Weibull distribution deterioration, ramp-type demand rate and partial backlogging. Prod. Plan. Control 12 (2001) 787–793. | DOI

P.S. You, Inventory policy for products with price and time-dependent demands. J. Oper. Res. Soc. 56 (2005) 870-873. | DOI | Zbl

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