International Journal of Operations Research and Optimization
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International Journal of Operations Research and OptimizationJuly - December 2019 Vol:10 Issue:2

An Inventory Policy for the Weibull type Demand under the Variable Deterioration rate with effect of Inflation and Partial Backlogging

Abstract

In this Paper we consider an inventory model for the deteriorating items with Weibull type variable demand under the effect of inflation. Since in today’s market, advertisement works as a promotional tool to increase the demand so we consider it as quadratic dependent on the frequency of advertisement and time. The shortages are allowed at the end of replenishment cycle and partially backlogged. A permissible delay period is allowed by the vendor to buyer. An allowed trade credit period works as an incentive tool for the buyer and as a promotional tool for the vendor. Three different cases based on allowed trade credit period are discussed in the model. Numerical example for different cases and sensitivity analysis with respect to different system parameter are presented to illustrate the model. The convexity of the total cost function has also been shown with the help of graphs.

Author

Abhinav Goel, Mohd. Aftab Ali  ( Pages 167-190 )
Email:aftabkhan307@gmail.com
Affiliation:Department of Mathematics, Shri Venkateshwara University, Gajraula      DOI:

Keyword

Deterioration, Permissible Delay, Weibull Type Demand, Shortages, Partial Backlogging, Inflation

References

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