Ji et al. [Computers & Industrial Engineering 66 (2013) 952 961] studied the single-machine common due-window problem considering convex resource allocation and aging effect with a deteriorating rate-modifying activity.
In this situation there are several scenarios: deteriorating rate is a linear increasing function of time (Mukhopadhyay et al. 2004), deteriorating rate is three-parameter Weibull distributed (Chakrabarty et al. 1998), and deteriorating rate is other function of time (Abad 2001).
end{aligned} (34 At the end of production cycle, the inventory level of recoverable items is equal to the maximum inventory level of recoverable items in a production setup reduced by deteriorating rate during production up time and down time.
The results show that selling price, deteriorating rate, holding cost, product return rate, and remanufactured quality have a significant effect on the model.
(theta) Deteriorating rate.
When it comes to the study of deteriorating rate, there are several situations.
In recent research, more and more studies have begun to consider the relationship between time and deteriorating rate.
The optimal total cost is sensitive to the changes in production setup cost, the term a in demand and the serviceable inventory cost, but it is not sensitive to the deteriorating rate and deteriorating cost.
Especially the sensitivity is quite significant for rework process rate (P_{text {r}}), deteriorating rate (theta), and deteriorating cost (D_{text {c}}) in both the cases.
Deteriorating rate is another key factor in the study of deteriorating items inventory, which describes the deterioration nature of the items.
The rate of producing good quality items should be greater than the sum of the demand rate and the deteriorating rate. .
