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Effect of reliability on multi-item inventory system with shortages and partial backlog incorporating time dependent demand and deterioration

Author

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  • Sudip Adak

    (National Institute of Technology)

  • G. S. Mahapatra

    (National Institute of Technology)

Abstract

This study presents a new model of multi-item economic order quantity where deterioration is time and reliability dependent. The demand rate of this system is an advertisement, time, and reliability dependent, and also the ordering cost is reliability dependent. The paper develops a cost-effective ordering inventory model where the increase in reliability of the item leads to a rise in demand and decreases the rate of deterioration. The cycle lengths for each item of the system are constant and the same. The shortages are allowed in this economic order quantity model, which are partially lost in sales and partially backlogged. Numerical examples and graphical representation are provided to illustrate the proposed model and the significant features of the results are discussed. The proposed multi-item inventory model is solved using MATLAB, and the effects of different parameters on the inventory model are presented through sensitivity analysis.

Suggested Citation

  • Sudip Adak & G. S. Mahapatra, 2022. "Effect of reliability on multi-item inventory system with shortages and partial backlog incorporating time dependent demand and deterioration," Annals of Operations Research, Springer, vol. 315(2), pages 1551-1571, August.
    • Handle: RePEc:spr:annopr:v:315:y:2022:i:2:d:10.1007_s10479-020-03694-6
    DOI: 10.1007/s10479-020-03694-6
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