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Finite horizon stochastic inventory problem with dual sourcing: Near myopic and heuristics bounds

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  • Cheaitou, Ali
  • van Delft, Christian

Abstract

We consider a class of multi-periodic non-stationary stochastic single-product inventory planning problems where two procurement modes can be used at each period: a first order with immediate delivery and a second order with a single-period delivery delay. Clearly, the slow delivery mode is less expensive than the fast. We develop a discounted backlog model, with non-stationary procurement, inventory holding and backlog penalty costs proportional to the ordered quantities, inventory levels and number of backlogged units respectively. The demands are defined as non-stationary and independent random variables. We partially characterize the optimal ordering policy structure and we develop theoretical bounds and heuristic approximations for this optimal policy. Efficiency of these approximations is illustrated via extensive numerical experiments.

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  • Cheaitou, Ali & van Delft, Christian, 2013. "Finite horizon stochastic inventory problem with dual sourcing: Near myopic and heuristics bounds," International Journal of Production Economics, Elsevier, vol. 143(2), pages 371-378.
    • Handle: RePEc:eee:proeco:v:143:y:2013:i:2:p:371-378
    DOI: 10.1016/j.ijpe.2012.05.027
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    3. Roni, Mohammad S. & Jin, Mingzhou & Eksioglu, Sandra D., 2015. "A hybrid inventory management system responding to regular demand and surge demand," Omega, Elsevier, vol. 52(C), pages 190-200.
    4. Cheaitou, Ali & van Delft, Christian & Jemai, Zied & Dallery, Yves, 2014. "Optimal policy structure characterization for a two-period dual-sourcing inventory control model with forecast updating," International Journal of Production Economics, Elsevier, vol. 157(C), pages 238-249.
    5. Han, Guanghua & Dong, Ming & Liu, Shaoxuan, 2014. "Yield and allocation management in a continuous make-to-stock system with demand upgrade substitution," International Journal of Production Economics, Elsevier, vol. 156(C), pages 124-131.
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    7. Cheaitou, Ali & Larbi, Rim & Al Housani, Bashayer, 2019. "Decision making framework for tender evaluation and contractor selection in public organizations with risk considerations," Socio-Economic Planning Sciences, Elsevier, vol. 68(C).
    8. Svoboda, Josef & Minner, Stefan & Yao, Man, 2021. "Typology and literature review on multiple supplier inventory control models," European Journal of Operational Research, Elsevier, vol. 293(1), pages 1-23.

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