Dynamic pricing, promotion and replenishment policies for a deteriorating item under permissible delay in payments.

*(English)*Zbl 1140.91358Summary: We study the problem of dynamic pricing, promotion and replenishment for a deteriorating item subject to the supplier’s trade credit and retailer’s promotional effort. In this paper we adopt a price- and time-dependent demand function to model the finite time horizon inventory for deteriorating items. The objective of this paper is to determine the optimal retail price, the promotional effort and the replenishment quantity so that the net profit is maximized. We discuss the properties and develop an algorithm for solving the problem described. The numerical analyses show that an appropriate promotion policy can benefit the retailer and that the promotion policy is important, especially for deteriorating items. Furthermore dynamic decision-making is shown to be superior to fixed decision-making in terms of profit maximization. Some special cases, such as with no credit period and for non-deteriorating items, are discussed as is the influence of the time-varying demand, the rate of deterioration and the credit period on the retailer behavior.

##### MSC:

91B24 | Microeconomic theory (price theory and economic markets) |

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\textit{Y.-C. Tsao} and \textit{G.-J. Sheen}, Comput. Oper. Res. 35, No. 11, 3562--3580 (2008; Zbl 1140.91358)

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##### References:

[1] | Levy, D.; Bergen, M.; Dutta, S.; Venable, R., The magnitude of menu costs: direct evidence from large US supermarket chains, Quarterly journal of economics, 112, 791-825, (1997) |

[2] | Belobaba, P.P., Airline yield management: an overview of seat inventory control, Transaction science, 21, 63-73, (1987) |

[3] | McGill, J.I.; van Ryzin, G.J., Revenue management: research overview and prospects, Transaction science, 33, 233-256, (1999) · Zbl 1002.90032 |

[4] | Brynjolfsson, E.; Smith, N.D., Frictionless commerce? A comparison of Internet and conventional retailers, Management science, 46, 563-585, (2000) |

[5] | Elmaghraby, W.; Keskinocak, P., Dynamic pricing in the presence of inventory considerations: research overview, current practices, and further directions, Management science, 49, 1287-1309, (2003) · Zbl 1232.90042 |

[6] | Haley, C.W.; Higgins, R.C., Inventory policy and trade credit financing, Management science, 20, 464-471, (1973) · Zbl 0303.90010 |

[7] | Chapman, C.B.; Ward, S.C.; Cooper, D.F.; Page, M.J., Credit policy and inventory control, Journal of the operational research society, 35, 1055-1065, (1984) |

[8] | Goyal, S.K., Economics order quantity under conditions of permissible delay in payments, Journal of the operational research society, 36, 335-338, (1985) · Zbl 0568.90025 |

[9] | Daellenbach, H.G., Inventory control and trade credit, Journal of the operational research society, 37, 525-528, (1986) |

[10] | Rachamadugu, R., Effect of delayed payments (trade credit) on order quantities, Journal of the operational research society, 40, 805-813, (1989) |

[11] | Chung, K.J., A theorem on determination of economic order quantity under conditions of permissible in payments, Computers and operations research, 25, 49-52, (1998) · Zbl 0906.90051 |

[12] | Teng, J.T., On the economic order quantity under conditions of permissible delay in payments, Journal of the operational research society, 53, 915-918, (2002) · Zbl 1098.90006 |

[13] | Huang, Y.F.; Chung, K.J., Optimal replenishment and payment policies in the EOQ model under cash discount and trade credit, Asia-Pacific journal of the operational research, 20, 177-190, (2003) · Zbl 1165.90319 |

[14] | Huang, Y.F., Optimal Retailer’s ordering policies in the EOQ model under trade credit financing, Journal of the operational research society, 54, 1011-1015, (2003) · Zbl 1097.90501 |

[15] | Huang, Y.F., Economic order quantity under conditionally permissible delay in payments, European journal of operational research, 176, 911-924, (2007) · Zbl 1103.90017 |

[16] | Shinn, S.W., Determining optimal retail price and lot size under day-terms supplier credit, Computers and industrial engineering, 33, 717-720, (1997) |

[17] | Shinn, S.W.; Hwang, H.; Park, S.S., Joint price and lot size determination under conditions of permissible delay in payments and quantity discounts for freight cost, European journal of operational research, 91, 528-542, (1996) · Zbl 0924.90033 |

[18] | Shinn, S.W.; Hwang, H., Optimal pricing and ordering policies for retailers under order size-dependent delay in payments, Computers and operations research, 30, 35-50, (2003) · Zbl 1029.90008 |

[19] | Kim, J.; Hwang, H.; Shinn, S., An optimal credit policy to increase Supplier’s profit with price-dependent demand functions, Production planning and control, 6, 45-50, (1995) |

[20] | Abad, P.L.; Jaggi, C.K., A joint approach for setting unit price and the length of the credit period for a seller when end demand is price sensitive, International journal of production economics, 83, 115-122, (2003) |

[21] | Sheen, G.J.; Tsao, Y.C., Channel coordination, trade credit and quantity discounts for freight cost, Transportation research part elogistics and transportation review, 43, 112-128, (2007) |

[22] | Aggarwal, S.P.; Jaggi, C.K., Ordering policies of deteriorating items under permissible delay in payments, Journal of the operational research society, 46, 658-662, (1995) · Zbl 0830.90032 |

[23] | Hwang, H.; Shinn, S.W., Retailer’s pricing and lot sizing policy for exponentially deteriorating products under the condition of permissible delay in payment, Computers and operations research, 24, 539-547, (1997) · Zbl 0882.90029 |

[24] | Chu, P.; Chung, K.J.; Lan, S.P., Economic order quantity of deteriorating items under permissible delay in payments, Computers and operations research, 25, 817-824, (1998) · Zbl 1042.90505 |

[25] | Jamal, A.M.M.; Sarker, B.R.; Wang, S., An ordering policy for deteriorating items with allowable shortage and permissible delay in payment, Journal of the operational research society, 48, 826-833, (1997) · Zbl 0890.90049 |

[26] | Chang, H.J.; Dye, C.Y., An inventory model for deteriorating items with partial backlogging and permissible delay in payments, International journal of systems science, 32, 345-352, (2001) · Zbl 1006.90002 |

[27] | Chang, H.J.; Hung, C.H.; Dye, C.Y., An inventory model for deteriorating items with linear demand under condition of permissible delay in payments, Production planning and control, 12, 274-282, (2001) |

[28] | Chang, H.J.; Hung, C.H.; Dye, C.Y., A finite time horizon inventory model with deterioration and time-value of money under the conditions of permissible delay in payments, International journal of systems science, 33, 141-151, (2002) · Zbl 1026.90003 |

[29] | Chang, C.T.; Ouyang, L.Y.; Teng, J.T., An EOQ model for deteriorating items under supplier credits linked to ordering quantity, Apply mathematical modeling, 27, 983-996, (2003) · Zbl 1046.90004 |

[30] | Chung, K.J.; Liao, J.J., Lot-sizing decisions under trade credit depending on the ordering quantity, Computers and operations research, 31, 909-928, (2004) · Zbl 1048.90016 |

[31] | Krishnan, H.; Kapuscinski, R.K.; Butz, D.A., Coordinating contracts for decentralized supply chain with retailer promotional effect, Management science, 50, 48-62, (2004) |

[32] | Taylor, T.A., Supply chain coordination under channel rebates with sales effort effects, Management science, 48, 992-1007, (2002) · Zbl 1232.90198 |

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