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Comprehensive solution procedure for optimizing replenishment policies of instantaneous deteriorating items with stock-dependent demand under partial trade credit linked to order quantity

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  • R. Sundara rajan

    (PSNA College of Engineering and Technology)

  • R. Uthayakumar

    (The Gandhigram Rural Institute–Deemed University)

Abstract

Trade credit financing is widely accepted as an inevitable strategy to increase profitability in inventory management. We assume that the supplier offers the retailer a fully permissible delay of M periods if the retailer orders more than or equal to a predetermined order quantity w. We revisit an economic order quantity model for instantaneous deteriorating commodities with inventory level dependent demand rate in a supply chain environment by allowing shortages which are partially backlogged. This model also incorporates aspects such as complete and no backlogging. The necessary and sufficient conditions for the existence and uniqueness of this model using the lemmas are investigated. An effective algorithm is proposed to obtain the optimal replenishment policies of this model using SCILAB 5.5.0 to resolve the problem. Finally, we solve numerical examples to substantiate the theoretical results of the underlying model and obtain some managerial insights.

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  • R. Sundara rajan & R. Uthayakumar, 2017. "Comprehensive solution procedure for optimizing replenishment policies of instantaneous deteriorating items with stock-dependent demand under partial trade credit linked to order quantity," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1343-1373, November.
    • Handle: RePEc:spr:ijsaem:v:8:y:2017:i:2:d:10.1007_s13198-017-0605-9
    DOI: 10.1007/s13198-017-0605-9
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    1. Ford W. Harris, 1990. "How Many Parts to Make at Once," Operations Research, INFORMS, vol. 38(6), pages 947-950, December.
    2. Ting, Pin-Shou, 2015. "Comments on the EOQ model for deteriorating items with conditional trade credit linked to order quantity in the supply chain management," European Journal of Operational Research, Elsevier, vol. 246(1), pages 108-118.
    3. Wee, Hui-Ming, 1999. "Deteriorating inventory model with quantity discount, pricing and partial backordering," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 511-518, March.
    4. Liang-Yuh Ouyang & Kun-Shan Wu & Chih-Te Yang, 2007. "An Eoq Model With Limited Storage Capacity Under Trade Credits," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(04), pages 575-592.
    5. Lo, Sh-Tyan & Wee, Hui-Ming & Huang, Wen-Chang, 2007. "An integrated production-inventory model with imperfect production processes and Weibull distribution deterioration under inflation," International Journal of Production Economics, Elsevier, vol. 106(2), pages 493-505, April.
    6. Chun-Tao Chang, 2004. "Inventory Models With Stock-Dependent Demand And Nonlinear Holding Costs For Deteriorating Items," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 21(04), pages 435-446.
    7. L. San-José & J. García-Laguna & J. Sicilia, 2009. "An economic order quantity model with partial backlogging under general backorder cost function," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(2), pages 366-384, December.
    8. Charles W. Haley & Robert C. Higgins, 1973. "Inventory Policy and Trade Credit Financing," Management Science, INFORMS, vol. 20(4-Part-I), pages 464-471, December.
    9. Dye, Chung-Yuan & Ouyang, Liang-Yuh, 2005. "An EOQ model for perishable items under stock-dependent selling rate and time-dependent partial backlogging," European Journal of Operational Research, Elsevier, vol. 163(3), pages 776-783, June.
    10. Sarkar, Biswajit & Sarkar, Sumon, 2013. "An improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand," Economic Modelling, Elsevier, vol. 30(C), pages 924-932.
    11. Maihami, Reza & Nakhai Kamalabadi, Isa, 2012. "Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand," International Journal of Production Economics, Elsevier, vol. 136(1), pages 116-122.
    12. Abad, P. L. & Jaggi, C. K., 2003. "A joint approach for setting unit price and the length of the credit period for a seller when end demand is price sensitive," International Journal of Production Economics, Elsevier, vol. 83(2), pages 115-122, February.
    13. Chen, Sheng-Chih & Cárdenas-Barrón, Leopoldo Eduardo & Teng, Jinn-Tsair, 2014. "Retailer’s economic order quantity when the supplier offers conditionally permissible delay in payments link to order quantity," International Journal of Production Economics, Elsevier, vol. 155(C), pages 284-291.
    14. Biswajit Sarkar & Kripasindhu Chaudhuri & Shib Sankar Sana, 2010. "A stock-dependent inventory model in an imperfect production process," International Journal of Procurement Management, Inderscience Enterprises Ltd, vol. 3(4), pages 361-378.
    15. Chung, Kun-Jen & Goyal, Suresh Kumar & Huang, Yung-Fu, 2005. "The optimal inventory policies under permissible delay in payments depending on the ordering quantity," International Journal of Production Economics, Elsevier, vol. 95(2), pages 203-213, February.
    16. Pentico, David W. & Drake, Matthew J., 2009. "The deterministic EOQ with partial backordering: A new approach," European Journal of Operational Research, Elsevier, vol. 194(1), pages 102-113, April.
    17. Goyal, S. K. & Giri, B. C., 2003. "The production-inventory problem of a product with time varying demand, production and deterioration rates," European Journal of Operational Research, Elsevier, vol. 147(3), pages 549-557, June.
    18. Yang, Gino K., 2007. "Note on sensitivity analysis of inventory model with partial backorders," European Journal of Operational Research, Elsevier, vol. 177(2), pages 865-871, March.
    19. Yang, Chih-Te, 2014. "An inventory model with both stock-dependent demand rate and stock-dependent holding cost rate," International Journal of Production Economics, Elsevier, vol. 155(C), pages 214-221.
    20. Shah, Nita H & Soni, Hardik N & Patel, Kamlesh A, 2013. "Optimizing inventory and marketing policy for non-instantaneous deteriorating items with generalized type deterioration and holding cost rates," Omega, Elsevier, vol. 41(2), pages 421-430.
    21. Skouri, K. & Papachristos, S., 2003. "Optimal stopping and restarting production times for an EOQ model with deteriorating items and time-dependent partial backlogging," International Journal of Production Economics, Elsevier, vol. 81(1), pages 525-531, January.
    22. Z T Balkhi & S K Goyal & B C Giri, 2001. "Some notes on the optimal production stopping and restarting times for an EOQ model with deteriorating items," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(11), pages 1300-1301, November.
    23. Teng, Jinn-Tsair, 2009. "A simple method to compute economic order quantities," European Journal of Operational Research, Elsevier, vol. 198(1), pages 351-353, October.
    24. Wu, Kun-Shan & Ouyang, Liang-Yuh & Yang, Chih-Te, 2006. "An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging," International Journal of Production Economics, Elsevier, vol. 101(2), pages 369-384, June.
    25. Chu, Peter & Chung, Kun-Jen, 2004. "The sensitivity of the inventory model with partial backorders," European Journal of Operational Research, Elsevier, vol. 152(1), pages 289-295, January.
    26. Vandana, & Sharma, B.K., 2016. "An EOQ model for retailers partial permissible delay in payment linked to order quantity with shortages," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 125(C), pages 99-112.
    27. Moon, Ilkyeong & Giri, Bibhas Chandra & Ko, Byungsung, 2005. "Economic order quantity models for ameliorating/deteriorating items under inflation and time discounting," European Journal of Operational Research, Elsevier, vol. 162(3), pages 773-785, May.
    28. Bakker, Monique & Riezebos, Jan & Teunter, Ruud H., 2012. "Review of inventory systems with deterioration since 2001," European Journal of Operational Research, Elsevier, vol. 221(2), pages 275-284.
    29. Feng, Lin & Chan, Ya-Lan & Cárdenas-Barrón, Leopoldo Eduardo, 2017. "Pricing and lot-sizing polices for perishable goods when the demand depends on selling price, displayed stocks, and expiration date," International Journal of Production Economics, Elsevier, vol. 185(C), pages 11-20.
    30. Padmanabhan, G. & Vrat, Prem, 1995. "EOQ models for perishable items under stock dependent selling rate," European Journal of Operational Research, Elsevier, vol. 86(2), pages 281-292, October.
    31. Lo, Sh-Tyan & Wee, Hui-Ming & Huang, Wen-Chang, 2007. "An integrated production-inventory model with imperfect production processes and Weibull distribution deterioration under inflation," International Journal of Production Economics, Elsevier, vol. 106(1), pages 248-260, March.
    32. Teng, Jinn-Tsair & Krommyda, Iris-Pandora & Skouri, Konstantina & Lou, Kuo-Ren, 2011. "A comprehensive extension of optimal ordering policy for stock-dependent demand under progressive payment scheme," European Journal of Operational Research, Elsevier, vol. 215(1), pages 97-104, November.
    33. Sana, Shib Sankar, 2010. "A production-inventory model in an imperfect production process," European Journal of Operational Research, Elsevier, vol. 200(2), pages 451-464, January.
    34. Chun-Tao Chang & Jinn-Tsair Teng & Suresh Kumar Goyal, 2008. "Inventory Lot-Size Models Under Trade Credits: A Review," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(01), pages 89-112.
    35. Soni, Hardik & Shah, Nita H., 2008. "Optimal ordering policy for stock-dependent demand under progressive payment scheme," European Journal of Operational Research, Elsevier, vol. 184(1), pages 91-100, January.
    36. Dye, Chung-Yuan, 2013. "The effect of preservation technology investment on a non-instantaneous deteriorating inventory model," Omega, Elsevier, vol. 41(5), pages 872-880.
    37. Chih-Te Yang & Qinhua Pan & Liang-Yuh Ouyang & Jinn-Tsair Teng, 2013. "Retailer's optimal order and credit policies when a supplier offers either a cash discount or a delay payment linked to order quantity," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 7(3), pages 370-392.
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