Optimal pricing and lot-sizing under conditions of perishability, finite production and partial backordering and lost sale.

*(English)*Zbl 1012.90002Summary: Perishable products constitute a sizable component of inventories. Common questions in a production and selling situation involving a perishable (or a non-perishable) product are: What should be the price and what should be the size of the replenishment? When demand for the product is price sensitive, pricing and lot sizing decisions are interdependent. Similarly, when a product is highly perishable, the demand may need to be backlogged to avoid costs due to deterioration, i.e., perishability and backlogging are complementary conditions. In this paper we consider the pricing and lot sizing problem for a perishable good under finite production, exponential decay and partial backordering and lost sale. The backlogging phenomenon in the literature is often modeled using backordering and lost sale costs. These cost parameters however are not easy to estimate in practice. In this paper, we use a new approach to model backlogging of demand. In this approach, customers are viewed to be impatient. The backlogging option gets used only when it is economic to do so. We extend the analysis presented for a perishable product to the case in which the product is non-perishable.

##### MSC:

90B05 | Inventory, storage, reservoirs |

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\textit{P. L. Abad}, Eur. J. Oper. Res. 144, No. 3, 677--685 (2003; Zbl 1012.90002)

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##### References:

[1] | Abad, P.L., Optimal pricing and lot sizing under conditions of perishability and partial backordering, Management science, 42, 1093-1104, (1996) · Zbl 0879.90069 |

[2] | Abad, P.L., Optimal lot size for a perishable good under conditions of finite production and partial backordering and lost Sale, Computers and industrial engineering, 38, 457-465, (2000) |

[3] | Bazarra, M.; Sherali, H.; Shetty, C.M., Nonlinear programming, (1993), Wiley New York |

[4] | Elsayed, E.A.; Teresi, C., Analysis of inventory system with deteriorating items, International journal of production research, 21, 449-460, (1983) · Zbl 0542.90030 |

[5] | Goyal, S.K.; Gunasekaran, A., An integrated production – inventory – marketing model for deteriorating items, Computers and industrial engineering, 28, 755-762, (1995) |

[6] | Heng, K.J.; Labban, J.; Linn, R.J., An order-level lot-size inventory model for deteriorating items with finite replenishment rate, Computers and industrial engineering, 20, 187-197, (1991) |

[7] | Luo, W., An integrated inventory system for perishable goods with backordering, Computers and industrial engineering, 34, 685-693, (1998) |

[8] | Misra, R.B., Optimum production lot size model for a system with deteriorating inventory, International journal of production research, 13, 495-505, (1975) |

[9] | Raafat, F., Survey of literature on continuously deteriorating inventory models, Journal of the operational research society, 42, 27-37, (1991) · Zbl 0718.90025 |

[10] | Raafat, F.; Wolfe, P.; Eldin, H., An inventory model for deteriorating items, Computers and industrial engineering, 20, 89-94, (1991) |

[11] | Wee, H.M., Economic production lot size model for deteriorating items with partial back-ordering, Computers and industrial engineering, 24, 449-458, (1993) |

[12] | Wee, H.M., Deteriorating inventory model with quantity discount, pricing and partial backordering, International journal of economics, 59, 511-518, (1999) |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.