Abstract

<p>In this paper a multi item integrated inventory model is presented with reparability of returned items. It is assumed here that only a certain ratio of returned items can be repaired and the remaining stock of returned items is salvaged. By using these returned items, the waste can be reduced, which pollute the environment. This is a green supply chain where the demand for the products is selling price dependent and production rate is taken as a function of demand rate. The shortages are allowed here. A numerical example and sensitivity analysis are also presented to illustrate the model.</p>

Highlights

  • In so many industrial systems, there is more than one manufacturing plant and they produce different type of items

  • A multi item inventory model for deteriorating items is developed by (Bhattacharya, 2005). (Roy et al, 1995) developed multi deteriorating items with constraint space and investment and obtained some interesting results.( Balkhi,2009) has introduced a general model for multi item production inventory system in which the cost parameters are treated as an arbitrary function of time. (Yadav et al, 2011) developed a fuzzy multi item production inventory model with reliability and flexibility under limited storage capacity with deterioration via geometric programming. (Singhal & Singh, 2013) introduced a volume flexible multi items inventory system with imprecise environment. (Tayal et al, 2014) presented a multi item inventory model for deteriorating items with expiration date and allowable shortages

  • In this paper we have presented an integrated inventory model for multi items in a closed loop supply chain with reparability of returned and collected items

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Summary

Introduction

In so many industrial systems, there is more than one manufacturing plant and they produce different type of items. Most of the classical inventory system tries to calculate the economic production quantity by which the total cost of the system can be optimized These models are developed only for single item. (Roy et al, 1995) developed multi deteriorating items with constraint space and investment and obtained some interesting results.( Balkhi ,2009) has introduced a general model for multi item production inventory system in which the cost parameters are treated as an arbitrary function of time. (Singh et al, 2015) presented an EPQ inventory model for non-instantaneous deteriorating item with time dependent holding cost and exponential demand rate. One of the first authors was (Schrady, 1967) who developed a simple heuristic procedure for determining the lot sizes of remanufacturing and manufacturing lots He proposed a simple EOQ-technique that optimizes the sum of fixed and holding costs per time unit. The repaired items are assumed to be equivalent to fresh products

Assumptions
Mathematical Model
Numerical Example
Sensitivity Analysis
Conclusion

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