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An inventory control system for products with optional components under service level and budget constraints

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  • Wang, Tai-Yue
  • Hu, Jui-Ming

Abstract

Modularization and customization have made enterprises face the multi-item inventory problems and the interactions among those items. A powerful, affordable information technology system can make the continuous review inventory policy more convenient, efficient, and effective. In this study, a (Q, r) model is developed to find the optimal lot size and reorder point for a multi-item inventory with interactions between necessary and optional components. In order to accurately approximate costs, the service cost is introduced and defined in proportion to the service level. In addition, the service cost and purchasing cost are taken simultaneously, and are treated as a budget constraint for executives to consider because the firm's strategy could influence the choice of service level. The proposed model is formulated as a nonlinear optimization problem, as the service level is nonlinear. Thus, some known procedures are revised to solve this problem and the results are compared with other models. The results show that the revised procedure performs better than the N-R procedure, leading to important insights about inventory control policy.

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  • Wang, Tai-Yue & Hu, Jui-Ming, 2008. "An inventory control system for products with optional components under service level and budget constraints," European Journal of Operational Research, Elsevier, vol. 189(1), pages 41-58, August.
    • Handle: RePEc:eee:ejores:v:189:y:2008:i:1:p:41-58
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    References listed on IDEAS

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    1. Ghalebsaz-Jeddi, Babak & Shultes, Bruce C. & Haji, Rasoul, 2004. "A multi-product continuous review inventory system with stochastic demand, backorders, and a budget constraint," European Journal of Operational Research, Elsevier, vol. 158(2), pages 456-469, October.
    2. Lawrence L. Parker, 1964. "Economical reorder quantities and reorder points with uncertain demand," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 11(3‐4), pages 351-358, September.
    3. Ulrich W. Thonemann & Margaret L. Brandeau, 2000. "Optimal Commonality in Component Design," Operations Research, INFORMS, vol. 48(1), pages 1-19, February.
    4. David A. Collier, 1982. "Aggregate Safety Stock Levels and Component Part Commonality," Management Science, INFORMS, vol. 28(11), pages 1296-1303, November.
    5. Anantaram Balakrishnan & Michael S. Pangburn & Euthemia Stavrulaki, 2004. ""Stack Them High, Let 'em Fly": Lot-Sizing Policies When Inventories Stimulate Demand," Management Science, INFORMS, vol. 50(5), pages 630-644, May.
    6. Bhattacharya, D. K., 2005. "On multi-item inventory," European Journal of Operational Research, Elsevier, vol. 162(3), pages 786-791, May.
    7. Lawrence Dale Thomas, 1991. "Commonality Analysis Using Clustering Methods," Operations Research, INFORMS, vol. 39(4), pages 677-680, August.
    8. Chen, Youhua Frank, 2005. "Fractional programming approach to two stochastic inventory problems," European Journal of Operational Research, Elsevier, vol. 160(1), pages 63-71, January.
    9. Ernst, Ricardo & Kamrad, Bardia, 2000. "Evaluation of supply chain structures through modularization and postponement," European Journal of Operational Research, Elsevier, vol. 124(3), pages 495-510, August.
    10. Hausman, Warren H. & Lee, Hau L. & Zhang, Alex X., 1998. "Joint demand fulfillment probability in a multi-item inventory system with independent order-up-to policies," European Journal of Operational Research, Elsevier, vol. 109(3), pages 646-659, September.
    11. Jayashankar M. Swaminathan & Sridhar R. Tayur, 1998. "Managing Broader Product Lines through Delayed Differentiation Using Vanilla Boxes," Management Science, INFORMS, vol. 44(12-Part-2), pages 161-172, December.
    12. Urgeletti Tinarelli, Giulia, 1983. "Inventory control: Models and problems," European Journal of Operational Research, Elsevier, vol. 14(1), pages 1-12, September.
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    2. Ishfaq, Rafay & Bajwa, Naeem, 2019. "Profitability of online order fulfillment in multi-channel retailing," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1028-1040.

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