##
**A note on the inventory models for deteriorating items with ramp type demand rate.**
*(English)*
Zbl 1110.90006

Summary: In this research we study the inventory models for deteriorating items with ramp type demand rate. We first clearly point out some questionable results that appeared in [B. Mandal and A. K. Pal, J. Interdiscip. Math. 1, No. 1, 49–66 (1998; Zbl 0911.90142) and K. S. Wu and L. Y. Ouyang, A replenishment policy for deteriorating items with ramp type demand rate (Short Communication). Proceedings of National Science Council ROC (A) 24, 279–286 (2000)]. And then resolve the similar problem by offering a rigorous and efficient method to derive the optimal solution. In addition, we also propose an extended inventory model with ramp type demand rate and its optimal feasible solution to amend the incompleteness in the previous work. Moreover, we also proposed a very good inventory replenishment policy for this kind of inventory model. We believe that our work will provide a solid foundation for the further study of this sort of important inventory models with ramp type demand rate.

### MSC:

90B05 | Inventory, storage, reservoirs |

### Citations:

Zbl 0911.90142
PDF
BibTeX
XML
Cite

\textit{P. S. Deng} et al., Eur. J. Oper. Res. 178, No. 1, 112--120 (2007; Zbl 1110.90006)

Full Text:
DOI

### References:

[1] | Deng, P.S., in press. Improved inventory models with ramp type demand and Weibull deterioration. International Journal of Information and Management Sciences 16 (4). · Zbl 1103.90014 |

[2] | Giri, B.C.; Jalan, A.K.; Chaudhuri, K.S., Economic order quantity model with Weibull deterioration distribution, shortage and ramp-type demand, International journal of systems science, 34, 237-243, (2003) · Zbl 1074.90505 |

[3] | Hill, R.M., Inventory model for increasing demand followed by level demand, Journal of the operational research society, 46, 1250-1259, (1995) · Zbl 0843.90039 |

[4] | Mandal, B.; Pal, A.K., Order level inventory system with ramp type demand rate for deteriorating items, Journal of interdisciplinary mathematics, 1, 49-66, (1998) · Zbl 0911.90142 |

[5] | Wu, J.W.; Lin, C.; Tan, B.; Lee, W.C., An EOQ model with ramp type demand rate for items with Weibull deterioration, International journal of information and management sciences, 10, 41-51, (1999) · Zbl 0963.90009 |

[6] | Wu, K.S., An EOQ inventory model for items with Weibull distribution deterioration, ramp type demand rate and partial backlogging, Production planning & control, 12, 787-793, (2001) |

[7] | Wu, K.S.; Ouyang, L.Y., A replenishment policy for deteriorating items with ramp type demand rate (short communication), Proceedings of national science council ROC (A), 24, 279-286, (2000) |

[8] | Yang, G.K., Lin, R., Chu, P., Chouhuang, W.T., submitted for publication. The criterion for the optimal solution of the inventory models with Weibull distribution deterioration and ramp type demand rate, Production Planning & Control. |

[9] | Yen, C.-P., Deng, P.S., Lin, R.H.J., Yu, Y.-C., Tang, T., Chu, P., submitted for publication. Analysis of inventory model with ramp type demand, submitted to International Journal of Information and Management Sciences. |

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.