Imperfect production process with exponential demand rate, Weibull deterioration under inflation

Chaman Singh · S.R. Singh

25 citations0/0 files storedInternational Journal of Operational Research

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Supply Chain and Inventory Management Sustainable Supply Chain Management Optimization and Mathematical Programming

Abstract

In this research, an integrated production inventory model is developed from the perspective of both the manufacturer and the retailer. The model assumes exponential demand rate, production rate is demand dependent under the inflation, imperfect production process and multiple deliveries. We have assumed that the produced items deteriorates at a constant rate at the producer’s end due to the proper storages conditions, and as the items reaches the retailer’s end follows the Weibull deterioration. Shortages are allowed at the retailer’s part only and the unfulfilled demand is partially backlogged. A numerical example along with sensitivity analysis is given to illustrate the model. Integrated cost policy is compared with the independent decisions made by the manufacturer and the retailer’s and the necessary conclusions are made. Mathematica5.2 is being used to reach the optimal policies.

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References

2000Economic production quantity model for items with imperfect quality 2001The Effect of Collaborative Forecasting on Supply Chain Performance 1975Economic Order Quantities with Inflation 2004Economic ordering quantity models for items with imperfect quality 1999An optimal production run length in deteriorating production processes 2006Integrated vendor–buyer cooperative inventory models with variant permissible delay in payments 1985The effects of inflation and the time value of money on some inventory systems 2007Partial backlogging inventory lot-size models for deteriorating items with fluctuating demand under inflation

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