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Multi-item EOQ model while demand is sales price and price break sensitive

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  • Pal, Brojeswar
  • Sana, Shib Sankar
  • Chaudhuri, Kripasindhu

Abstract

In this paper, the authors study a multi-item deterministic EOQ (economic order quantity) model for a vendor when the demand rate of the essential commodities decreases quadratically with increasing sales price and increase exponentially with increasing level of price breaks. A price discount is offered to the customers when the revenue of the vendor crosses the level of price break. The main aim of the present article is to find out the optimal order quantities, optimal selling prices and optimal level of price break in order to maximize the average profit of the whole products. Numerical examples are also illustrated to test of our proposed model.

Suggested Citation

  • Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2012. "Multi-item EOQ model while demand is sales price and price break sensitive," Economic Modelling, Elsevier, vol. 29(6), pages 2283-2288.
    • Handle: RePEc:eee:ecmode:v:29:y:2012:i:6:p:2283-2288
    DOI: 10.1016/j.econmod.2012.06.039
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    1. Meir J. Rosenblatt & Uriel G. Rothblum, 1990. "On the Single Resource Capacity Problem for Multi-Item Inventory Systems," Operations Research, INFORMS, vol. 38(4), pages 686-693, August.
    2. Hill, R.M. & Pakkala, T.P.M., 2007. "Base stock inventory policies for a multi-item demand process," International Journal of Production Economics, Elsevier, vol. 109(1-2), pages 137-148, September.
    3. Haksever, Cengiz & Moussourakis, John, 2008. "Determining order quantities in multi-product inventory systems subject to multiple constraints and incremental discounts," European Journal of Operational Research, Elsevier, vol. 184(3), pages 930-945, February.
    4. Sudhansu Khanra & Shib Sankar Sana & Kripasindhu Chaudhuri, 2010. "An EOQ model for perishable item with stock and price dependent demand rate," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(3), pages 320-335.
    5. Tsao, Yu-Chung & Sheen, Gwo-Ji, 2012. "A multi-item supply chain with credit periods and weight freight cost discounts," International Journal of Production Economics, Elsevier, vol. 135(1), pages 106-115.
    6. Zhang, Guoqing, 2010. "The multi-product newsboy problem with supplier quantity discounts and a budget constraint," European Journal of Operational Research, Elsevier, vol. 206(2), pages 350-360, October.
    7. Gregory A. DeCroix & Antonio Arreola-Risa, 1998. "Optimal Production and Inventory Policy for Multiple Products Under Resource Constraints," Management Science, INFORMS, vol. 44(7), pages 950-961, July.
    8. You, Peng-Sheng, 2006. "Ordering and pricing of service products in an advance sales system with price-dependent demand," European Journal of Operational Research, Elsevier, vol. 170(1), pages 57-71, April.
    9. Bhattacharya, D. K., 2005. "On multi-item inventory," European Journal of Operational Research, Elsevier, vol. 162(3), pages 786-791, May.
    10. Gary D. Eppen & R. Kipp Martin, 1987. "Solving Multi-Item Capacitated Lot-Sizing Problems Using Variable Redefinition," Operations Research, INFORMS, vol. 35(6), pages 832-848, December.
    11. Bruce L. Miller, 1971. "A Multi-Item Inventory Model with Joint Backorder Criterion," Operations Research, INFORMS, vol. 19(6), pages 1467-1476, October.
    12. John A. Muckstadt, 1973. "A Model for a Multi-Item, Multi-Echelon, Multi-Indenture Inventory System," Management Science, INFORMS, vol. 20(4-Part-I), pages 472-481, December.
    13. Stephen C. Graves, 1979. "Note--On the Deterministic Demand Multi-Product Single-Machine Lot Scheduling Problem," Management Science, INFORMS, vol. 25(3), pages 276-280, March.
    14. Lenard, J. D. & Roy, B., 1995. "Multi-item inventory control: A multicriteria view," European Journal of Operational Research, Elsevier, vol. 87(3), pages 685-692, December.
    15. Ishii, Kazuyoshi & Imori, Shigeki, 1996. "A production ordering system for two-item, two-stage, capacity-constraint production and inventory model," International Journal of Production Economics, Elsevier, vol. 44(1-2), pages 119-128, June.
    16. Guillermo Gallego & Maurice Queyranne & David Simchi-Levi, 1996. "Single Resource Multi-Item Inventory Systems," Operations Research, INFORMS, vol. 44(4), pages 580-595, August.
    17. Arthur F. Veinott, Jr., 1965. "Optimal Policy for a Multi-Product, Dynamic, Nonstationary Inventory Problem," Management Science, INFORMS, vol. 12(3), pages 206-222, November.
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    Cited by:

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    3. Vahid Reza Soleymanfar & Ahmad Makui & Ata Allah Taleizadeh & Reza Tavakkoli-Moghaddam, 2022. "Sustainable EOQ and EPQ models for a two-echelon multi-product supply chain with return policy," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(4), pages 5317-5343, April.
    4. Ata Allah Taleizadeh & Alireza Mahmoudzade Varzi & Alireza Amjadian & Mahsa Noori-daryan & Ioannis Konstantaras, 2023. "How cash-back strategy affect sale rate under refund and customers’ credit," Operational Research, Springer, vol. 23(1), pages 1-69, March.
    5. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2012. "A three layer multi-item production–inventory model for multiple suppliers and retailers," Economic Modelling, Elsevier, vol. 29(6), pages 2704-2710.
    6. Ata Allah Taleizadeh & Mahsa Noori-daryan & Kannan Govindan, 2016. "Pricing and ordering decisions of two competing supply chains with different composite policies: a Stackelberg game-theoretic approach," International Journal of Production Research, Taylor & Francis Journals, vol. 54(9), pages 2807-2836, May.
    7. Bimal Kumar Sett & Bikash Koli Dey & Biswajit Sarkar, 2020. "Autonomated Inspection Policy for Smart Factory—An Improved Approach," Mathematics, MDPI, vol. 8(10), pages 1-19, October.

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