Paper Title
Optimal Integrated Inventory Policy for Time Dependent Deteriorating Items with Random Input

Abstract
In practice sometimes manufacturer not able to supply requisitioned quantity to retailer due to various reasons like machine break down, labor's strike, electricity failure, shortages of row material etc. In this model we have analyzed isolated and integrated scenario of manufacturer and retailer for items that deteriorate with respect to time and follow Weibull-Distribution when units received by retailer are random. For a long term sustainable supply chain a conciliation factor is suggested between manufacturer and retailer. Numerical example and sensitivity of different inventory parameters are carried out. The proposed model is useful to the enterprise or managers of supply chain relate with drugs, vegetables etc. Index Terms - Deteriorating items follow two parameter Weibull Distribution, Integrated inventory, Joint Profit, Random Input, Trade credit