- 期刊
On Inventory Models with Ramp Type Demand Rate, Partial Backlogging and Weibull Deterioration Rate
並列摘要
Recently, Skouri et al. (2009) proposed two inventory models with general ramp-type demand rate, Weibull deterioration rate, and partial backlogging of unsatisfied demand: (a) Model 1 was starting with no shortages, and Model 2 was starting with shortages. They derived the optimal solutions for both models. Then they ran 2 numerical examples, and concluded that ”the total cost for the model starting with shortages (i.e., Model 2) is less than the total cost for the model starting with no shortages (i.e., Model 1). This observation agrees with known, results from literature concerning the finite horizon inventory models.” In this note, we will provide two counterexamples to show that the total cost for Model 2 is not always cheaper than the total cost for Model 1. In fact, the inventory models here involve in various demand rate, backlogging rate, and deterioration rate with respect to time. Consequently, it seems not to have simple conditions to determine which model is cheaper to operate than the other.
延伸閱讀
- 鄧少華、余彥傑、藍俊雄（2010）。A Technical Note for the Deteriorating Inventory Model with Exponential Time-Varying Demand and Partial Backlogging。中華管理發展評論，2(2)，199-207。https://doi.org/10.6631/JCMD.2010.2.2.199
- 林文豐（2014）。An Inventory Model for Deteriorating Items with Backorders and Time-Variable Demand。中華科技大學學報，(60)，95-107。https://www.airitilibrary.com/Article/Detail?DocID=a0000585-201410-201411050009-201411050009-95-107
- He, Y., & He, J. (2010). A Production Model for Deteriorating Inventory Items with Production Disruptions. Discrete Dynamics in Nature and Society, 2010(), 138-151. https://doi.org/10.1155/2010/189017
- Tang, D. W. H., Chao, H. C. J., & Chuang, J. P. C. (2013). A Note on the Inventory Model for Deteriorating Items with Exponential Declining Demand and Partial Backlogging. International Journal of Information and Management Sciences, (), 167-173. https://doi.org/10.6186/IJIMS.2013.24.2.6
- Zhao, L. (2014). An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial Backlogging. Journal of Applied Mathematics, 2014(), 275-284-727. https://doi.org/10.1155/2014/747419