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An inventory model with time dependent demand and shortages under trade credit policy

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  • Khanra, S.
  • Mandal, Buddhadev
  • Sarkar, Biswajit

Abstract

This model investigates an economic order quantity (EOQ) model over a finite time horizon for an item with a quadratic time dependent demand by considering shortages in inventory under permissible delay in payments. Shortages are assumed after variable time T1(< T cycle period). The credit period (m) is known and fixed. The model is derived under three different circumstances depending on the time of occurrence of shortages, credit period, and cycle time. The results are illustrated with the help of numerical examples. The sensitivity analysis of key parameters of the optimal solution is studied with respect to changes in different parametric values. Some special features of the model are discussed.

Suggested Citation

  • Khanra, S. & Mandal, Buddhadev & Sarkar, Biswajit, 2013. "An inventory model with time dependent demand and shortages under trade credit policy," Economic Modelling, Elsevier, vol. 35(C), pages 349-355.
    • Handle: RePEc:eee:ecmode:v:35:y:2013:i:c:p:349-355
    DOI: 10.1016/j.econmod.2013.07.031
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    References listed on IDEAS

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    1. Sana, Shib Sankar & Chaudhuri, K.S., 2008. "A deterministic EOQ model with delays in payments and price-discount offers," European Journal of Operational Research, Elsevier, vol. 184(2), pages 509-533, January.
    2. Goyal, S. K., 1986. "On improving replenishment policies for linear trend in demand," Engineering Costs and Production Economics, Elsevier, vol. 10(1), pages 73-76, March.
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    Cited by:

    1. Prasenjit Pramanik & Manas Kumar Maiti & Manoranjan Maiti, 2018. "An appropriate business strategy for a sale item," OPSEARCH, Springer;Operational Research Society of India, vol. 55(1), pages 85-106, March.
    2. B. C. Giri & S. Sharma, 2016. "Optimal ordering policy for an inventory system with linearly increasing demand and allowable shortages under two levels trade credit financing," Operational Research, Springer, vol. 16(1), pages 25-50, April.
    3. Salisu, Afees A. & Ndako, Umar B., 2018. "Modelling stock price–exchange rate nexus in OECD countries: A new perspective," Economic Modelling, Elsevier, vol. 74(C), pages 105-123.
    4. Hyun, Junghwan, 2021. "Trade credit, group affiliation, and credit contraction: Evidence from the 1997 Korean financial crisis," Economic Modelling, Elsevier, vol. 95(C), pages 203-214.
    5. Biswajit Sarkar & Sharmila Saren & Leopoldo Cárdenas-Barrón, 2015. "An inventory model with trade-credit policy and variable deterioration for fixed lifetime products," Annals of Operations Research, Springer, vol. 229(1), pages 677-702, June.
    6. Hu, Qiwei & Boylan, John E. & Chen, Huijing & Labib, Ashraf, 2018. "OR in spare parts management: A review," European Journal of Operational Research, Elsevier, vol. 266(2), pages 395-414.
    7. Md Sadikur Rahman & Subhajit Das & Amalesh Kumar Manna & Ali Akbar Shaikh & Asoke Kumar Bhunia & Leopoldo Eduardo Cárdenas-Barrón & Gerardo Treviño-Garza & Armando Céspedes-Mota, 2021. "A Mathematical Model of the Production Inventory Problem for Mixing Liquid Considering Preservation Facility," Mathematics, MDPI, vol. 9(24), pages 1-19, December.
    8. Luis A. San-José & Joaquín Sicilia & Manuel González-de-la-Rosa & Jaime Febles-Acosta, 2022. "Profit maximization in an inventory system with time-varying demand, partial backordering and discrete inventory cycle," Annals of Operations Research, Springer, vol. 316(2), pages 763-783, September.
    9. Satya Kumar Das, 2022. "A Fuzzy Multi Objective Inventory Model with Production Cost and Set-up-Cost Dependent on Population," Annals of Data Science, Springer, vol. 9(3), pages 627-643, June.
    10. Vandana & S. R. Singh & Dharmendra Yadav & Biswajit Sarkar & Mitali Sarkar, 2021. "Impact of Energy and Carbon Emission of a Supply Chain Management with Two-Level Trade-Credit Policy," Energies, MDPI, vol. 14(6), pages 1-19, March.
    11. Beatriz Abdul-Jalbar & Roberto Dorta-Guerra & José M. Gutiérrez & Joaquín Sicilia, 2021. "Production/Inventory Policies for a Two-Echelon System with Credit Period Incentives," Mathematics, MDPI, vol. 9(15), pages 1-25, July.
    12. 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.
    13. Aditi Khanna & Aakanksha Kishore & Biswajit Sarkar & Chandra K. Jaggi, 2018. "Supply Chain with Customer-Based Two-Level Credit Policies under an Imperfect Quality Environment," Mathematics, MDPI, vol. 6(12), pages 1-35, December.
    14. Chandan Mahato & Gour Chandra Mahata, 2021. "Optimal inventory policies for deteriorating items with expiration date and dynamic demand under two-level trade credit," OPSEARCH, Springer;Operational Research Society of India, vol. 58(4), pages 994-1017, December.
    15. Yiju Wang & Donglei Du & Jingfu Huang, 2021. "Optimal Replenishment Strategy for Inventory Mechanism with Step-Shaped Demand," Journal of Optimization Theory and Applications, Springer, vol. 190(3), pages 841-860, September.
    16. Wang Luqi & Chen Zhijian & Chen Mingyao & Zhang Ruijie, 2019. "Inventory Policy for a Deteriorating Item with Time-Varying Demand Under Trade Credit and Inflation," Journal of Systems Science and Information, De Gruyter, vol. 7(2), pages 115-133, April.

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