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

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
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    Cited by:

    1. 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.
    2. Heydari, Jafar & Momeni, Behnam, 2021. "Retailers’ coalition and quantity discounts under demand uncertainty," Journal of Retailing and Consumer Services, Elsevier, vol. 61(C).
    3. 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.
    4. 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.
    5. 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.
    6. 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.

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