IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v46y2015i7p1172-1198.html
   My bibliography  Save this article

Joint replenishment policy with backordering and special sale

Author

Listed:
  • Ata Allah Taleizadeh
  • Hadi Samimi
  • Babak Mohammadi

Abstract

In this paper, an inventory control model with a joint replenishment policy and a temporary discount is developed. We assume that shortage is allowed and buyer uses an economic order quantity inventory control model. Different cases based on ordering policies for the first joint replenishment if the special order is not taken, and coincidence of a special period length with a positive or negative inventory level of the last regular period length, are investigated. Furthermore, several theorems are proved through which closed-form solutions are obtained. At the end, two numerical examples illustrate the different situations that the buyer may face and sensitivity analyses for both examples are reported.

Suggested Citation

  • Ata Allah Taleizadeh & Hadi Samimi & Babak Mohammadi, 2015. "Joint replenishment policy with backordering and special sale," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1172-1198, May.
  • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1172-1198
    DOI: 10.1080/00207721.2013.815821
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2013.815821
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/00207721.2013.815821?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Luciano, Elisa & Peccati, Lorenzo, 1999. "Capital structure and inventory management:: The temporary sale price problem," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 169-178, March.
    2. Khouja, Moutaz & Goyal, Suresh, 2008. "A review of the joint replenishment problem literature: 1989-2005," European Journal of Operational Research, Elsevier, vol. 186(1), pages 1-16, April.
    3. Ke, Ginger Y. & Bookbinder, James H., 2012. "Discount pricing for a family of items: The supplier's optimal decisions," International Journal of Production Economics, Elsevier, vol. 135(1), pages 255-264.
    4. Ata Allah Taleizadeh & Seyed Jafar Sadjadi & Seyed Taghi Akhavan Niaki, 2011. "Multiproduct EPQ model with single machine, backordering and immediate rework process," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 5(4), pages 388-411.
    5. Edward A. Silver, 1976. "A Simple Method of Determining Order Quantities in Joint Replenishments Under Deterministic Demand," Management Science, INFORMS, vol. 22(12), pages 1351-1361, August.
    6. Frank T. Shu, 1971. "Economic Ordering Frequency for two Items Jointly Replenished," Management Science, INFORMS, vol. 17(6), pages 406-410, February.
    7. Arcelus, F. J. & Shah, Nita H. & Srinivasan, G., 2001. "Retailer's response to special sales: price discount vs. trade credit," Omega, Elsevier, vol. 29(5), pages 417-428, October.
    8. Arcelus, F. J. & Shah, Nita H. & Srinivasan, G., 2003. "Retailer's pricing, credit and inventory policies for deteriorating items in response to temporary price/credit incentives," International Journal of Production Economics, Elsevier, vol. 81(1), pages 153-162, January.
    9. Mahdi Tajbakhsh, M. & Lee, Chi-Guhn & Zolfaghari, Saeed, 2011. "An inventory model with random discount offerings," Omega, Elsevier, vol. 39(6), pages 710-718, December.
    10. Kevin Hsu, Wen-Kai & Yu, Hong-Fwu, 2009. "EOQ model for imperfective items under a one-time-only discount," Omega, Elsevier, vol. 37(5), pages 1018-1026, October.
    11. Chang, Horng-Jinh & Lin, Wen-Feng & Ho, Jow-Fei, 2011. "Closed-form solutions for Wee's and Martin's EOQ models with a temporary price discount," International Journal of Production Economics, Elsevier, vol. 131(2), pages 528-534, June.
    12. Sarker, Bhaba R. & Al Kindi, Mahmood, 2006. "Erratum to "Optimal ordering policies in response to discount offer" [International Journal of Production Economics 100 (2006) 195-211]," International Journal of Production Economics, Elsevier, vol. 103(2), pages 895-895, October.
    13. Arcelus, F. J. & Srinivasan, G., 1998. "Costing partial order cycles in the temporary sale price problem," International Journal of Production Economics, Elsevier, vol. 56(1), pages 21-27, September.
    14. Ardalan, Alireza, 1994. "Optimal prices and order quantities when temporary price discounts result in increase in demand," European Journal of Operational Research, Elsevier, vol. 72(1), pages 52-61, January.
    15. Cárdenas-Barrón, Leopoldo Eduardo, 2009. "Optimal ordering policies in response to a discount offer: Corrections," International Journal of Production Economics, Elsevier, vol. 122(2), pages 783-789, December.
    16. Sarker, Bhaba R. & Al Kindi, Mahmood, 2006. "Optimal ordering policies in response to a discount offer," International Journal of Production Economics, Elsevier, vol. 100(2), pages 195-211, April.
    17. Goyal, S. K., 1996. "A comment on Martin's: Note on an EOQ model with a temporary sale price," International Journal of Production Economics, Elsevier, vol. 43(2-3), pages 283-284, June.
    18. Hui-Ming Wee & Yu, Jonas, 1997. "A deteriorating inventory model with a temporary price discount," International Journal of Production Economics, Elsevier, vol. 53(1), pages 81-90, November.
    19. Cárdenas-Barrón, Leopoldo Eduardo, 2009. "Optimal ordering policies in response to a discount offer: Extensions," International Journal of Production Economics, Elsevier, vol. 122(2), pages 774-782, December.
    20. Goyal, S.K. & Jaber, M.Y., 2008. "A note on: Optimal ordering policies in response to a discount offer," International Journal of Production Economics, Elsevier, vol. 112(2), pages 1000-1001, April.
    21. Tersine, Richard J. & Barman, Samir, 1995. "Economic purchasing strategies for temporary price discounts," European Journal of Operational Research, Elsevier, vol. 80(2), pages 328-343, January.
    22. Goyal, S. K., 1990. "Economic ordering policy during special discount periods for dynamic inventory problems under certainty," Engineering Costs and Production Economics, Elsevier, vol. 20(1), pages 101-104, July.
    23. Pentico, David W. & Drake, Matthew J., 2011. "A survey of deterministic models for the EOQ and EPQ with partial backordering," European Journal of Operational Research, Elsevier, vol. 214(2), pages 179-198, October.
    24. Abad, Prakash L., 2007. "Buyer's response to a temporary price reduction incorporating freight costs," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1073-1083, November.
    25. Benton, W. C. & Park, Seungwook, 1996. "A classification of literature on determining the lot size under quantity discounts," European Journal of Operational Research, Elsevier, vol. 92(2), pages 219-238, July.
    26. Tsao, Yu-Chung, 2010. "Managing multi-echelon multi-item channels with trade allowances under credit period," International Journal of Production Economics, Elsevier, vol. 127(2), pages 226-237, October.
    27. Tersine, Richard J., 1996. "Economic replenishment strategies for announced price increases," European Journal of Operational Research, Elsevier, vol. 92(2), pages 266-280, July.
    28. Martin, G. E., 1994. "Note on an EOQ model with a temporary sale price," International Journal of Production Economics, Elsevier, vol. 37(2-3), pages 241-243, December.
    29. Goyal, Suresh K. & Satir, Ahmet T., 1989. "Joint replenishment inventory control: Deterministic and stochastic models," European Journal of Operational Research, Elsevier, vol. 38(1), pages 2-13, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ji Seong Noh & Jong Soo Kim & Biswajit Sarkar, 2019. "Stochastic joint replenishment problem with quantity discounts and minimum order constraints," Operational Research, Springer, vol. 19(1), pages 151-178, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Taleizadeh, Ata Allah & Mohammadi, Babak & Cárdenas-Barrón, Leopoldo Eduardo & Samimi, Hadi, 2013. "An EOQ model for perishable product with special sale and shortage," International Journal of Production Economics, Elsevier, vol. 145(1), pages 318-338.
    2. Ramasesh, Ranga V., 2010. "Lot-sizing decisions under limited-time price incentives: A review," Omega, Elsevier, vol. 38(3-4), pages 118-135, June.
    3. Karimi-Nasab, M. & Konstantaras, I., 2013. "An inventory control model with stochastic review interval and special sale offer," European Journal of Operational Research, Elsevier, vol. 227(1), pages 81-87.
    4. Chih-Te Yang & Liang-Yuh Ouyang & Kun-Shan Wu & Hsiu-Feng Yen, 2012. "Optimal ordering policy in response to a temporary sale price when retailer's warehouse capacity is limited," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 6(1), pages 26-49.
    5. Yiju Wang & Hengxia Gao & Wei Xing, 2018. "Optimal replenishment and stocking strategies for inventory mechanism with a dynamically stochastic short-term price discount," Journal of Global Optimization, Springer, vol. 70(1), pages 27-53, January.
    6. Taleizadeh, Ata Allah & Pentico, David W. & Aryanezhad, Mirbahador & Ghoreyshi, Seyed Mohammad, 2012. "An economic order quantity model with partial backordering and a special sale price," European Journal of Operational Research, Elsevier, vol. 221(3), pages 571-583.
    7. Shaposhnik, Yaron & Herer, Yale T. & Naseraldin, Hussein, 2015. "Optimal ordering for a probabilistic one-time discount," European Journal of Operational Research, Elsevier, vol. 244(3), pages 803-814.
    8. Chang, Horng-Jinh & Lin, Wen-Feng & Ho, Jow-Fei, 2011. "Closed-form solutions for Wee's and Martin's EOQ models with a temporary price discount," International Journal of Production Economics, Elsevier, vol. 131(2), pages 528-534, June.
    9. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2014. "Joint pricing and ordering policy for two echelon imperfect production inventory model with two cycles," International Journal of Production Economics, Elsevier, vol. 155(C), pages 229-238.
    10. Tamar Cohen-Hillel & Liron Yedidsion, 2018. "The Periodic Joint Replenishment Problem Is Strongly 𝒩𝒫-Hard," Mathematics of Operations Research, INFORMS, vol. 43(4), pages 1269-1289, November.
    11. Jen-Yen Lin & Ming-Jong Yao, 2020. "The joint replenishment problem with trade credits," Journal of Global Optimization, Springer, vol. 76(2), pages 347-382, February.
    12. Viktoryia Buhayenko & Sin C. Ho & Anders Thorstenson, 2018. "A variable neighborhood search heuristic for supply chain coordination using dynamic price discounts," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 7(4), pages 363-385, December.
    13. Chan, Chi Kin & Lee, Y.C.E., 2012. "A co-ordination model combining incentive scheme and co-ordination policy for a single-vendor–multi-buyer supply chain," International Journal of Production Economics, Elsevier, vol. 135(1), pages 136-143.
    14. Francisco Silva & Lucia Gao, 2013. "A Joint Replenishment Inventory-Location Model," Networks and Spatial Economics, Springer, vol. 13(1), pages 107-122, March.
    15. Khouja, Moutaz & Goyal, Suresh, 2008. "A review of the joint replenishment problem literature: 1989-2005," European Journal of Operational Research, Elsevier, vol. 186(1), pages 1-16, April.
    16. Kevin Hsu, Wen-Kai & Yu, Hong-Fwu, 2009. "EOQ model for imperfective items under a one-time-only discount," Omega, Elsevier, vol. 37(5), pages 1018-1026, October.
    17. Shiyu Liu & Ou Liu & Xiaoming Jiang, 2023. "An Efficient Algorithm for the Joint Replenishment Problem with Quantity Discounts, Minimum Order Quantity and Transport Capacity Constraints," Mathematics, MDPI, vol. 11(4), pages 1-18, February.
    18. Saeed Poormoaied, 2022. "Inventory decision in a periodic review inventory model with two complementary products," Annals of Operations Research, Springer, vol. 315(2), pages 1937-1970, August.
    19. San-José, Luis A. & Sicilia, Joaquín & García-Laguna, Juan, 2014. "Optimal lot size for a production–inventory system with partial backlogging and mixture of dispatching policies," International Journal of Production Economics, Elsevier, vol. 155(C), pages 194-203.
    20. Yusen Xia, 2016. "Responding to supplier temporary price discounts in a supply chain through ordering and pricing decisions," International Journal of Production Research, Taylor & Francis Journals, vol. 54(7), pages 1938-1950, April.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:tsysxx:v:46:y:2015:i:7:p:1172-1198. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.