An inventory model for deteriorating items under trapezoidal type demand and controllable deterioration rate

Abstract

In this paper, an attempt is made to characterize the preservation technology for deteriorating items in order to reduce the deterioration rate. This model assumes a deteriorating inventory model with trapezoidal type demand by allowing preservation technology cost as a decision variable. Holding cost is assumed to be a time dependent. The model with no shortage case in inventory is first solved. The inventory shortage is discussed next. A solution procedure is presented to determine an optimal replenishment cycle and total cost per unit time, which is a convex function of preservation technology cost. Results have been validated with relevant examples. Sensitivity analysis is performed to show the effect of changes in the parameters on the optimum solution. The analysis of the model shows that the solution of the model is quite stable and can be applied for optimizing the total inventory cost of deteriorating items inventory for the business enterprises where they use the preservation technology to reduce the deterioration rate of the inventory items.

Cost optimization inventory model for deteriorating items with trapezoidal demand rate under completely backlogged shortages in crisp and fuzzy environment

“…Moreover, it has been identified from the sensitivity analysis that the retailers have to order more quantities and spend more cost on inventory maintenance subject to the increase in parametric values. In view of some similar works (see, [27,50,51]) in this direction, our study enhance the scope for more real world inventory problems involving imprecise costs with completely backlogged shortages. Basically, the main contribution of this article is that, the fuzzy approach has been adopted to obtain the optimal decision policy for the proposed model with imprecise costs under three different cases.…”

“…The ramp-type demand was considered by Sharma et al [46] for constant deteriorating items and Chakraborty et al [6] for Weibull deteriorating items. Furthermore, the trapezoidal-type demand (that is, in the cycle, the first phase has increased demand, the second phase has constant demand and the third phase has decreased demand) was considered by Mishra et al [27], Wu et al [50,51] and Singh et al [48] for their inventory models. Whereas, quadratic trapezoidal demand was taken by Debata et al [9], and Price and Time dependent trapezoidal demand was assumed by Kaushik and Sharma [19].…”

Impact of Trapezoidal Demand and Deteriorating Preventing Technology in an Inventory Model in Interval Uncertainty under Backlogging Situation

“…The solutions of the differential Equations ( 3)-( 6) with the condition (7) are given by { } The solutions of the differential Equations ( 3)-( 6) with the condition ( 7) are given by…”

“…Lin et al [6] wrote a note on Cheng et al [2] based on modeling and solutions. Mishra [7] introduced a deteriorating inventory model considering deterioration prevention technology and trapezoidal demand. Wu et al [8] developed two inventory models with trapezoidal demand, time-dependent deterioration, and completely backlogged shortages.…”

The role of retailer’s app channel in a supply chain with quality decision and different power structures

“…As indicated by Wallace et al (2004), comparing with a single-channel retailer, a dual-channel retailer can enhance customers' satisfaction and ultimately customers' loyalty. In addition, product quality, as an important decision, plays a significant role in product design and inventory strategies of a supply chain (Mishra and Tripathy, 2015;Mishra, 2015Mishra, , 2016. Firms' product quality and pricing strategies have been significantly affected by channel structures (Tsay and Agrawal, 2004b;Xu, 2009;Jerath et al, 2017;Chen et al, 2017).…”