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An EOQ model for stochastic demand for limited capacity of own warehouse

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  • Shib Sana

Abstract

This paper deals with an economic order quantity (EOQ) model for uncertain demand when capacity of own warehouse (OW) is limited and the rented warehouse (RW) is considered, if needed. The expected average cost function is formulated for both continuous and discrete distributions of demand function by trading off holding costs and stock out penalty. The model is justified by suitable illustrations for various types of distributions. Copyright Springer Science+Business Media New York 2015

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  • Shib Sana, 2015. "An EOQ model for stochastic demand for limited capacity of own warehouse," Annals of Operations Research, Springer, vol. 233(1), pages 383-399, October.
    • Handle: RePEc:spr:annopr:v:233:y:2015:i:1:p:383-399:10.1007/s10479-013-1510-5
    DOI: 10.1007/s10479-013-1510-5
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    1. Nicholas C. Petruzzi & Maqbool Dada, 1999. "Pricing and the Newsvendor Problem: A Review with Extensions," Operations Research, INFORMS, vol. 47(2), pages 183-194, April.
    2. F. Arcelus & T. Pakkala & G. Srinivasan, 2006. "On the interaction between retailers inventory policies and manufacturer trade deals in response to supply-uncertainty occurrences," Annals of Operations Research, Springer, vol. 143(1), pages 45-58, March.
    3. George Liberopoulos & Dimitrios Pandelis & Olympia Hatzikonstantinou, 2013. "The stochastic economic lot sizing problem for non-stop multi-grade production with sequence-restricted setup changeovers," Annals of Operations Research, Springer, vol. 209(1), pages 179-205, October.
    4. Hsieh, Chung-Chi & Lu, Yu-Ting, 2010. "Manufacturer's return policy in a two-stage supply chain with two risk-averse retailers and random demand," European Journal of Operational Research, Elsevier, vol. 207(1), pages 514-523, November.
    5. Awi Federgruen & Min Wang, 2013. "Monotonicity properties of a class of stochastic inventory systems," Annals of Operations Research, Springer, vol. 208(1), pages 155-186, September.
    6. Chou, Yon-Chun & Chung, Hsien-Jung, 2009. "Service-based capacity strategy for manufacturing service duopoly of differentiated prices and lognormal random demand," International Journal of Production Economics, Elsevier, vol. 121(1), pages 162-175, September.
    7. Elodie Adida & Georgia Perakis, 2010. "Dynamic pricing and inventory control: robust vs. stochastic uncertainty models—a computational study," Annals of Operations Research, Springer, vol. 181(1), pages 125-157, December.
    8. Roberto Rossi & S. Tarim & Brahim Hnich & Steven Prestwich, 2012. "Constraint programming for stochastic inventory systems under shortage cost," Annals of Operations Research, Springer, vol. 195(1), pages 49-71, May.
    9. Johansen, Soren Glud & Thorstenson, Anders, 1993. "Optimal and approximate (Q, r) inventory policies with lost sales and gamma-distributed lead time," International Journal of Production Economics, Elsevier, vol. 30(1), pages 179-194, July.
    10. Ozgun Caliskan-Demirag & Youhua Chen & Yi Yang, 2013. "Production-inventory control policy under warm/cold state-dependent fixed costs and stochastic demand: partial characterization and heuristics," Annals of Operations Research, Springer, vol. 208(1), pages 531-556, September.
    11. Zhang, Bin & Du, Shaofu, 2010. "Multi-product newsboy problem with limited capacity and outsourcing," European Journal of Operational Research, Elsevier, vol. 202(1), pages 107-113, April.
    12. 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.
    13. Jingshan Li & Emre Enginarlar & Semyon Meerkov, 2004. "Random Demand Satisfaction in Unreliable Production–Inventory–Customer Systems," Annals of Operations Research, Springer, vol. 126(1), pages 159-175, February.
    14. Chung, Kun-Jen & Huang, Tien-Shou, 2007. "The optimal retailer's ordering policies for deteriorating items with limited storage capacity under trade credit financing," International Journal of Production Economics, Elsevier, vol. 106(1), pages 127-145, March.
    15. Jammernegg, Werner & Kischka, Peter, 2013. "The price-setting newsvendor with service and loss constraints," Omega, Elsevier, vol. 41(2), pages 326-335.
    16. Chen, M. S. & Chuang, C. C., 2000. "An extended newsboy problem with shortage-level constraints," International Journal of Production Economics, Elsevier, vol. 67(3), pages 269-277, October.
    17. Lee, Chun Chen & Hsu, Shu-Lu, 2009. "A two-warehouse production model for deteriorating inventory items with time-dependent demands," European Journal of Operational Research, Elsevier, vol. 194(3), pages 700-710, May.
    18. S. Kalpakam & S. Shanthi, 2006. "A continuous review perishable system with renewal demands," Annals of Operations Research, Springer, vol. 143(1), pages 211-225, March.
    19. Shuang Chen & Joseph Geunes, 2013. "Optimal allocation of stock levels and stochastic customer demands to a capacitated resource," Annals of Operations Research, Springer, vol. 203(1), pages 33-54, March.
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    7. Sunil Tiwari & Chandra K. Jaggi & Asoke Kumar Bhunia & Ali Akbar Shaikh & Mark Goh, 2017. "Two-warehouse inventory model for non-instantaneous deteriorating items with stock-dependent demand and inflation using particle swarm optimization," Annals of Operations Research, Springer, vol. 254(1), pages 401-423, July.
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