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Safety stock management in single vendor–single buyer problem under VMI with consignment stock agreement

Author

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  • Braglia, Marcello
  • Castellano, Davide
  • Frosolini, Marco

Abstract

In this paper a new analytical approach to safety stock management, within single buyer–single vendor framework under VMI with consignment agreement, is presented. In particular, the cost of the safety stock is evaluated adopting a logistic approximation of the standard normal cumulative distribution. The service level is put in relation to the dimension of the single shipment, to the average demand on the buyer and to the number of admissible stockouts. Once the mean joint total cost function is defined, on the basis of the model of Braglia and Zavanella, (2003. Int. J. Prod. Res. 41, 3793–3808) modified according to Braglia et al. (2014. Int. J. Logist. Syst. Manage. forthcoming 2014), a minimum cost solution (within a predefined domain) is derived. Moreover, a numerical study is carried out. First, a sensitivity analysis is shown. Then, the model of Braglia and Zavanella, (2003. Int. J. Prod. Res. 41, 3793–3808), in its original expression, is compared with both Hill (1997. Eur. J. Oper. Res. 97, 493–499), Hill (1999. Int. J. Prod. Res. 37, 2463–2475) and Hill and Omar (2006. Int. J. Prod. Res. 44, 791–800). In particular, the comparison considers the equal-sized shipments case without delayed deliveries taking into account different reciprocal values for the stockholding costs.

Suggested Citation

  • Braglia, Marcello & Castellano, Davide & Frosolini, Marco, 2014. "Safety stock management in single vendor–single buyer problem under VMI with consignment stock agreement," International Journal of Production Economics, Elsevier, vol. 154(C), pages 16-31.
    • Handle: RePEc:eee:proeco:v:154:y:2014:i:c:p:16-31
    DOI: 10.1016/j.ijpe.2014.04.007
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    References listed on IDEAS

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    1. Glock, C. H. & Kim, T., 2012. "A joint economic lot sizemodel with returnable transport items," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 59079, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    2. Valentini, Giovanni & Zavanella, Lucio, 2003. "The consignment stock of inventories: industrial case and performance analysis," International Journal of Production Economics, Elsevier, vol. 81(1), pages 215-224, January.
    3. Zavanella, Lucio & Zanoni, Simone, 2009. "A one-vendor multi-buyer integrated production-inventory model: The 'Consignment Stock' case," International Journal of Production Economics, Elsevier, vol. 118(1), pages 225-232, March.
    4. Gümüs, Mehmet & Jewkes, Elizabeth M. & Bookbinder, James H., 2008. "Impact of consignment inventory and vendor-managed inventory for a two-party supply chain," International Journal of Production Economics, Elsevier, vol. 113(2), pages 502-517, June.
    5. Glock, C. H., 2012. "The joint economic lot size problem: a review," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57811, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    6. Hill, Roger M., 1997. "The single-vendor single-buyer integrated production-inventory model with a generalised policy," European Journal of Operational Research, Elsevier, vol. 97(3), pages 493-499, March.
    7. Glock, Christoph H., 2012. "The joint economic lot size problem: A review," International Journal of Production Economics, Elsevier, vol. 135(2), pages 671-686.
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    Cited by:

    1. Barros, Júlio & Cortez, Paulo & Carvalho, M. Sameiro, 2021. "A systematic literature review about dimensioning safety stock under uncertainties and risks in the procurement process," Operations Research Perspectives, Elsevier, vol. 8(C).
    2. Bai, Qingguo & Gong, Yeming (Yale) & Jin, Mingzhou & Xu, Xianhao, 2019. "Effects of carbon emission reduction on supply chain coordination with vendor-managed deteriorating product inventory," International Journal of Production Economics, Elsevier, vol. 208(C), pages 83-99.
    3. Tarhini, Hussein & Karam, Mario & Jaber, Mohamad Y., 2020. "An integrated single-vendor multi-buyer production inventory model with transshipments between buyers," International Journal of Production Economics, Elsevier, vol. 225(C).
    4. Zied Bahroun & Nidhal Belgacem, 2019. "Determination of dynamic safety stocks for cyclic production schedules," Operations Management Research, Springer, vol. 12(1), pages 62-93, June.
    5. Xu, Lingling & Zhong, Huijie, 2024. "Identification of high- and new-technology enterprises, supplier relationship and technological innovation: Evidence from China," International Review of Economics & Finance, Elsevier, vol. 94(C).
    6. B. C. Giri & A. Chakraborty & T. Maiti, 2017. "Effectiveness of consignment stock policy in a three-level supply chain," Operational Research, Springer, vol. 17(1), pages 39-66, April.
    7. Kumar, Anupam & Evers, Philip T., 2015. "Setting safety stock based on imprecise records," International Journal of Production Economics, Elsevier, vol. 169(C), pages 68-75.
    8. Siraj K. Zahran & Mohamad Y. Jaber & Simone Zanoni, 2017. "Comparing different coordination scenarios in a three-level supply chain system," International Journal of Production Research, Taylor & Francis Journals, vol. 55(14), pages 4068-4088, July.

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