IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v233y2015i1p401-41010.1007-s10479-014-1731-2.html
   My bibliography  Save this article

$$(Q,r,L)$$ ( Q , r , L ) model for stochastic demand with lead-time dependent partial backlogging

Author

Listed:
  • Shib Sana
  • Suresh Goyal

Abstract

The paper deals with an economic order quantity model for variable lead-time, order dependent purchasing cost, order size, reorder point and lead-time dependent partial backlogging. The average expected cost function is formulated by trading off setup cost, purchasing cost, lead-time crashing cost, inventory cost and costs of lost sale and partial backordering. In this cost function, order quantity, reorder point and lead-time are decision variables. The above average expected cost function is analysed by calculus method in light of both distribution-free and known distribution function. Numerical example is illustrated to justify our proposed model. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Shib Sana & Suresh Goyal, 2015. "$$(Q,r,L)$$ ( Q , r , L ) model for stochastic demand with lead-time dependent partial backlogging," Annals of Operations Research, Springer, vol. 233(1), pages 401-410, October.
    • Handle: RePEc:spr:annopr:v:233:y:2015:i:1:p:401-410:10.1007/s10479-014-1731-2
    DOI: 10.1007/s10479-014-1731-2
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-014-1731-2
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-014-1731-2?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. Fredrik Olsson, 2014. "Analysis of inventory policies for perishable items with fixed leadtimes and lifetimes," Annals of Operations Research, Springer, vol. 217(1), pages 399-423, June.
    2. Hsu, Shu-Lu & Lee, Chun Chen, 2009. "Replenishment and lead time decisions in manufacturer-retailer chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(3), pages 398-408, May.
    3. Ouyang, Liang-Yuh & Wu, Kun-Shan, 1998. "A minimax distribution free procedure for mixed inventory model with variable lead time," International Journal of Production Economics, Elsevier, vol. 56(1), pages 511-516, September.
    4. V. S. S. Yadavalli & G. Arivarignan & N. Anbazhagan, 2006. "Two Commodity Coordinated Inventory System With Markovian Demand," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 23(04), pages 497-508.
    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. Heydari, Jafar & Momeni, Behnam, 2021. "Retailers’ coalition and quantity discounts under demand uncertainty," Journal of Retailing and Consumer Services, Elsevier, vol. 61(C).
    2. Dong, Yachao & Maravelias, Christos T., 2021. "Terminal inventory level constraints for online production scheduling," European Journal of Operational Research, Elsevier, vol. 295(1), pages 102-117.
    3. Monami Das Roy & Shib Sankar Sana, 2021. "Inter-dependent lead-time and ordering cost reduction strategy: a supply chain model with quality control, lead-time dependent backorder and price-sensitive stochastic demand," OPSEARCH, Springer;Operational Research Society of India, vol. 58(3), pages 690-710, September.
    4. Jiang Wu & Jinn-Tsair Teng & Konstantina Skouri, 2018. "Optimal inventory policies for deteriorating items with trapezoidal-type demand patterns and maximum lifetimes under upstream and downstream trade credits," Annals of Operations Research, Springer, vol. 264(1), pages 459-476, May.
    5. 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.
    6. Ruihai Li & Jinn-Tsair Teng & Yingfei Zheng, 2019. "Optimal credit term, order quantity and selling price for perishable products when demand depends on selling price, expiration date, and credit period," Annals of Operations Research, Springer, vol. 280(1), pages 377-405, September.

    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. Sujit Kumar De & Shib Sankar Sana, 2018. "The (p, q, r, l) model for stochastic demand under Intuitionistic fuzzy aggregation with Bonferroni mean," Journal of Intelligent Manufacturing, Springer, vol. 29(8), pages 1753-1771, December.
    2. Hayya, Jack C. & Harrison, Terry P. & He, X. James, 2011. "The impact of stochastic lead time reduction on inventory cost under order crossover," European Journal of Operational Research, Elsevier, vol. 211(2), pages 274-281, June.
    3. Tamjidzad, Shahrzad & Mirmohammadi, S. Hamid, 2015. "An optimal (r, Q) policy in a stochastic inventory system with all-units quantity discount and limited sharable resource," European Journal of Operational Research, Elsevier, vol. 247(1), pages 93-100.
    4. Pan, Jason Chao-Hsien & Hsiao, Yu-Cheng, 2005. "Integrated inventory models with controllable lead time and backorder discount considerations," International Journal of Production Economics, Elsevier, vol. 93(1), pages 387-397, January.
    5. S. Hemapriya & R. Uthayakumar, 2017. "An inventory model with uncertain demand and lost sales reduction under service level constraint," 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 1399-1418, November.
    6. Zhai, Yue & Choi, Tsan-Ming & Shao, Saijun & Xu, Su Xiu & Huang, George Q., 2020. "Spatial-temporal hedging coordination in prefabricated housing production," International Journal of Production Economics, Elsevier, vol. 229(C).
    7. Tal Avinadav & Tatyana Chernonog & Yael Lahav & Uriel Spiegel, 2017. "Dynamic pricing and promotion expenditures in an EOQ model of perishable products," Annals of Operations Research, Springer, vol. 248(1), pages 75-91, January.
    8. Silver, Edward A. & Moon, Ilkyeong, 2001. "The multi-item single period problem with an initial stock of convertible units," European Journal of Operational Research, Elsevier, vol. 132(2), pages 466-477, July.
    9. Kouki, Chaaben & Babai, M. Zied & Minner, Stefan, 2018. "On the benefit of dual-sourcing in managing perishable inventory," International Journal of Production Economics, Elsevier, vol. 204(C), pages 1-17.
    10. Zhai, Yue & Cheng, T.C.E., 2022. "Lead-time quotation and hedging coordination in make-to-order supply chain," European Journal of Operational Research, Elsevier, vol. 300(2), pages 449-460.
    11. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    12. Björk, Kaj-Mikael, 2012. "A multi-item fuzzy economic production quantity problem with a finite production rate," International Journal of Production Economics, Elsevier, vol. 135(2), pages 702-707.
    13. Karuppuchamy Annadurai & Ramasamy Uthayakumar, 2014. "Ordering Cost Reduction in Inventory Model with Defective Items and Backorder Price Discount," Journal of Optimization, Hindawi, vol. 2014, pages 1-14, November.
    14. Xiao, Tiaojun & Choi, Tsan-Ming & Cheng, T.C.E., 2016. "Delivery leadtime and channel structure decisions for make-to-order duopoly under different game scenarios," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 87(C), pages 113-129.
    15. Lin, Yu-Jen, 2008. "Minimax distribution free procedure with backorder price discount," International Journal of Production Economics, Elsevier, vol. 111(1), pages 118-128, January.
    16. Heydari, Jafar & Mahmoodi, Mansour & Taleizadeh, Ata Allah, 2016. "Lead time aggregation: A three-echelon supply chain model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 215-233.
    17. Feng, Xuehao & Moon, Ilkyeong & Ryu, Kwangyeol, 2017. "Warehouse capacity sharing via transshipment for an integrated two-echelon supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 104(C), pages 17-35.
    18. M. Vijayashree & R. Uthayakumar, 2016. "Two-echelon supply chain inventory model with controllable lead time," 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. 7(1), pages 112-125, December.
    19. Bruzda, Joanna, 2020. "Demand forecasting under fill rate constraints—The case of re-order points," International Journal of Forecasting, Elsevier, vol. 36(4), pages 1342-1361.
    20. Hoque, M.A., 2013. "A vendor–buyer integrated production–inventory model with normal distribution of lead time," International Journal of Production Economics, Elsevier, vol. 144(2), pages 409-417.

    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:spr:annopr:v:233:y:2015:i:1:p:401-410:10.1007/s10479-014-1731-2. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.