Optimal times of price reductions for an inventory model with partial backorder and vertical shift demand

Peng-Sheng You

RAIRO - Operations Research (2007)

  • Volume: 41, Issue: 1, page 35-47
  • ISSN: 0399-0559

Abstract

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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.

How to cite

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You, Peng-Sheng. "Optimal times of price reductions for an inventory model with partial backorder and vertical shift demand." RAIRO - Operations Research 41.1 (2007): 35-47. <http://eudml.org/doc/250115>.

@article{You2007,
abstract = { 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. },
author = {You, Peng-Sheng},
journal = {RAIRO - Operations Research},
keywords = {Inventory; backorder; deterministic demand; multiple discounts.},
language = {eng},
month = {6},
number = {1},
pages = {35-47},
publisher = {EDP Sciences},
title = {Optimal times of price reductions for an inventory model with partial backorder and vertical shift demand},
url = {http://eudml.org/doc/250115},
volume = {41},
year = {2007},
}

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
DA - 2007/6//
PB - EDP Sciences
VL - 41
IS - 1
SP - 35
EP - 47
AB - 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.
LA - eng
KW - Inventory; backorder; deterministic demand; multiple discounts.
UR - http://eudml.org/doc/250115
ER -

References

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  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.  
  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.  
  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 Engineering30 (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 Science41 (1995) 1371–1391.  
  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.  
  7. G. Gallego and G.V. Ryzin, Optimal dynamic pricing of inventories with stochastic demand over finite horizons. Management Science40 (1994) 999–1020.  
  8. Y. Gerchak and M. Parlar, A single period inventory problem with partially controllable demand. Comput. Oper. Res.14 (1987) 1–9.  
  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.  
  10. M. Khouja, Note on the newsboy problem with an emergency supply option. J. Oper. Res. Soc.47 (1996) 1530–1534.  
  11. M. Khouja and A. Mehrez, A multi-product constrained newsboy problem with progressive multiple discounts. Comput. Industrial Engineering30 (1996) 95–101.  
  12. M. Khouja, The single-period (news-vendor) problem: literature review and suggestions for future research. Omega-Int. J. Management Science27 (1999) 537–553.  
  13. M. Khouja, Optimal ordering, discounting, and pricing in the single-period problem. Int. J. Production Economics65 (2000) 201–216.  
  14. M. Khouja, The newsboy problem under progressive multiple discounts. European J. Oper. Res.83 (1995) 606–614.  
  15. A. Lau and H. Lau, The newsboy problem with price-dependent demand distribution. IIE Transactions20 (1988) 168–175.  
  16. I. Moon and S. Choi, The distribution free newsboy problem with balking. J. Oper. Res. Soc.46 (1995) 537–542.  
  17. N.C. Petruzzi and M. Dada, Pricing and the newsvendor problem: a review with extensions. Oper. Res.47 (1999) 183–194.  
  18. L.H. Polatoglu, Optimal order quantity and pricing decisions in single-period inventory systems. Int. J. Production Economics23 (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.  
  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.  
  21. H.M. Wee, A replenishment policy for items with a price dependent demand and a varying rate of deterioration. Production Planning Control8 (1997) 494–499.  

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