An integrated vendor-buyer model with quadratic demand under inspection policy and preservation technology

Date

2020-01-01

Author

Pervin, Magfura
Roy, Sankar Kumar
Weber, Gerhard Wilhelm

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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An integrated vendor-buyer model for deteriorating items is formulated in this study. To control deterioration rate, the vendor adopts preservation technology. Shortages are allowed for both vendor and buyer. During shortage period, the vendor simply doubles the production rate to meet the demand of buyer. The vendor's demand during non-shortage period follows a constant rate but, the demand is a quadratic decreasing function of time in shortage period. The buyer's demand is a quadratic increasing function of time when shortage does not occur but at shortages period, the demand is constant. The buyer accepts an inspection policy for imperfect product. Total cost is calculated for both the model and integrated system. Thereafter, the model is solved by minimizing the total cost. Numerical examples are given to show the applicability of the model. A sensitivity analysis is done to display the realistic applicability of our model and method.

Subject Keywords

Integrated inventory model, Quadratic demand, Inspection policy, Preservation technology, Optimization

URI

https://hdl.handle.net/11511/57804

Journal

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS

DOI

https://doi.org/10.15672/hujms.476056

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

M. Pervin, S. K. Roy, and G. W. Weber, “An integrated vendor-buyer model with quadratic demand under inspection policy and preservation technology,” HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, pp. 1168–1189, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57804.