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A single-supplier, multi-buyer, multi-product VMI production-inventory system under partial backordering

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Abstract

The vendor managed inventory (VMI) is an efficient coordination policy in supply chain management, in which supplier is responsible to manage inventory at the buyer and decides on replenishment policies. This paper presents a VMI model for a supply chain problem with a single supplier, multi-buyer and multi-product, via a production-inventory system in which shortage is allowed and partially backordered. In order to take into account the concern about environmental issues, the total green house gas emission is also considered as a green constraint. The aim is to find the appropriate values of production quantity and the maximum shortage level for all products of all buyers in such a way that the total cost of supply chain is minimized under VMI. The problem is formulated as a non-linear programming model and then a decomposition based analytical approach is proposed to solve it optimally. At the end, a numerical example is discussed to illustrate the proposed approach.

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References

  • Abad PL (2000) Optimal lot size for a perishable good under conditions of finite production and partial backordering and lost sale. Comput Ind Eng 38:457–465

    Google Scholar 

  • Arkan A, Rezvan T, Hejazi SR (2011) Supply chain coordination for minimisation of total cost with credit period approach. Int J Oper Res 10(3):290–306

    Google Scholar 

  • Braglia M, Zavanella L (2003) Modelling an industrial strategy for inventory management in supply chains: the ‘consignment stock’ case. Int J Prod Res 41(16):3793–3808

    Google Scholar 

  • Cárdenas-Barrón LE, Trevi˜no-Garza G, Wee HM (2012) A simple and better algorithm to solve the vendor managed inventory control system of multi-product multi-constraint economic order quantity model. Expert Syst Appl 39:3888–3895

    Google Scholar 

  • Chang W, Ellinger AE, Kim KK, Franke GR (2016) Supply chain integration and firm financial performance: a meta-analysis of positional advantage mediation and moderating factors. Eur Manag J 34(3):282–295

    Google Scholar 

  • Darwish MA, Odah OM (2010) Vendor managed inventory model for single-vendor multi-retailer supply chains. Eur J Oper Res 204:473–484

    Google Scholar 

  • Disney SM, Towill DR (2002) A procedure for the optimization of the dynamic response of a vendor managed inventory system. Comput Ind Eng 43:27–58

    Google Scholar 

  • Disney SM, Towill DR (2003) The effect of vendor managed inventory (VMI) dynamics on the bullwhip effect in supply chains. Int J Prod Econ 85:199–215

    Google Scholar 

  • Dong Y, Xu K (2002) A supply chain model of vendor managed inventory. Transp Res Part E: Logist Transp Rev 38:75–95

    Google Scholar 

  • Govindan K, Sivakumar R (2016) Green supplier selection and order allocation in a low-carbon paper industry: integrated multi-criteria heterogeneous decision-making and multi-objective linear programming approaches. Ann Oper Res 238:243–276

    Google Scholar 

  • Guillen-Gosalbez G, Grossmann IE (2009) Optimal design and planning of sustain- able chemical supply chains under uncertainty. AIChE J 55(1):99–121

    Google Scholar 

  • Hariga M, Gumus M, Daghfous A, Goyal SK (2013) A vendor managed inventory model under contractual storage agreement. Comput Oper Res 40:2138–2144

    Google Scholar 

  • Hill RM (1999) The optimal production and shipment policy for the single-vendor single-buyer integrated production-inventory model. Int J Prod Res 37:2463–2475

    Google Scholar 

  • Hill RM, Omar M (2006) Another look at the single-vendor single-buyer integrated production-inventory problem. Int J Prod Res 44(4):791–800

    Google Scholar 

  • Ivanov D, Dolgui A, Sokolovc B (2016) Robust dynamic schedule coordination control in the supply chain. Comput Ind Eng 94:18–31

    Google Scholar 

  • Kristianto Y, Helo P, Jiao J, Sandhu M (2012) Adaptive fuzzy vendor managed inventory control for mitigating the Bullwhip effect in supply chains. Eur J Oper Res 216:346–355

    Google Scholar 

  • Lee CC, Chu W, Hung J (2005) Who should control inventory in a supply chain? Eur J Oper Res 164:158–172

    Google Scholar 

  • Lin K, Chang P, Hung K, Pai P (2010) A simulation of vendor managed inventory dynamics using fuzzy arithmetic operations with genetic algorithms. Expert Syst Appl 37(3):2571–2579

    Google Scholar 

  • Linton J, Klassen R, Jayaraman V (2007) Sustainable supply chains: an introduction. J Oper Manag 25:1075–1082

    Google Scholar 

  • Magee JF (1958) Production planning and inventory control. McGraw-Hill Book Company, New York

    Google Scholar 

  • Mak KL (1987) Determining optimal production-inventory control policies for an inventory system with partial backlogging. Comput Oper Res 14:299–304

    Google Scholar 

  • Marque‘s G, Thierry C, Lamothe J, Gourc D (2010) A review of vendor managed inventory (VMI): from concept to processes. Prod Plan Control 21:547–561

    Google Scholar 

  • Mateen A, Chatterjee AK (2015) Vendor managed inventory for single-vendor multi-retailer supply chains. Decis Support Syst 70:31–41

    Google Scholar 

  • Nagurney A, Liu Z, Woolley T (2006) Optimal endogenous carbon taxes for electric power supply chains with power plants. Math Comput Model 44:899–916

    Google Scholar 

  • Park YB, Yoo JS, Park HS (2016) A genetic algorithm for the vendor-managed inventory routing problem with lost sales. Expert Syst Appl 53:149–159

    Google Scholar 

  • Pasandideh SHR, Niaki STA, Nia AR (2011) A genetic algorithm for vendor managed inventory control system of multi-product multi-constraint economic order quantity model. Expert Syst Appl 38:2708–2716

    Google Scholar 

  • Pasandideh SHR, Akhavan Niaki ST, Hemmati Far M (2014) Optimization of vendor managed inventory of multiproduct EPQ model with multiple constraints using genetic algorithm. Int J Adv Manuf Technol 71:365–376

    Google Scholar 

  • Pentico DW, Drake MJ (2009) The deterministic EOQ with partial backordering: a new approach. Eur J Oper Res 194:102–113

    Google Scholar 

  • Pentico DW, Drake MJ (2011) A survey of deterministic models for the EOQ and EPQ with partial backordering. Eur J Oper Res 214:179–198

    Google Scholar 

  • Ramudhin A, Chaabane A, Kharoune M, Paquet M (2008) Carbon market sensitive green supply chain network design. In: Proceedings of the 2008 IEEE IEEM, 1093–1097

  • Roozbeh Nia A, Hemmati Far M, Niaki STA (2015) A hybrid genetic and imperialist competitive algorithm for green vendor managed inventory of multi-item multi-constraint EOQ model under shortage. Appl Soft Comput 30:353–364

    Google Scholar 

  • Sadeghi J, Sadeghi A, Saidi-Mehrabad M (2011) A parameter-tuned genetic algorithm for vendor managed inventory model for a case single-vendor single-retailer with multi-product and multi-constraint. Int J Optim Ind Eng 4:57–67

    Google Scholar 

  • Sadeghi J, Sadeghi S, Akhavan Niaki ST (2014a) A hybrid vendor managed inventory and redundancy allocation optimization problem in supply chain management: an NSGA-II with tuned parameters. Comput Oper Res 41:53–64

    Google Scholar 

  • Sadeghi J, Sadeghi S, Akhavan Niaki ST (2014b) Optimizing a hybrid vendor-managed inventory and transportation problem with fuzzy demand: an improved particle swarm optimization algorithm. Inf Sci 272:126–144

    Google Scholar 

  • San José LA, Sicilia J, García-Laguna J (2005) The lot size-reorder level inventory system with customers impatience functions. Comput Ind Eng 49:349–362

    Google Scholar 

  • San José LA, Sicilia J, García-Laguna J (2014) Optimal lot size for a production- inventory system with partial backlogging and mixture of dispatching policies. Int J Prod Econ 155:194–203

    Google Scholar 

  • Taleizadeh AA, Niaki STA, Aryanezhad MB, Fallah-Tafti A (2010) A genetic algorithm to optimize multi-product multi-constraint inventory control systems with stochastic replenishment intervals and discount. Int J Adv Manuf Technol 51:311–323

    Google Scholar 

  • Van der Vlist P, Kuik R, Verheijen B (2007) Note on supply chain integration in vendor-managed inventory. Decis Support Syst 44:360–365

    Google Scholar 

  • Vergin RC, Barr K (1999) Building competitiveness in grocery supply through continuous replenishment planning: insights from the field. Ind Mark Manag 28:145–153

    Google Scholar 

  • Waller M, Johnson ME, Davis T (1999) Vendor-managed inventory in the retail supply chain. J Bus Logist 20:183–203

    Google Scholar 

  • Yao Y, Evers PT, Dresner ME (2007) Supply chain integration in vendor-managed inventory. Decis Support Syst 43:663–674

    Google Scholar 

  • Yu Y, Wang Z, Liang L (2012) A vendor managed inventory supply chain with deteriorating raw materials and products. Int J Prod Econ 136:266–274

    Google Scholar 

  • Zavanella L, Zanoni S (2009) A one-vendor multi-buyer integrated production-inventory model: the consignment stock case. Int J Prod Econ 118:225–232

    Google Scholar 

  • Zhu QH, Sarkis J (2004) Relationships between operational practices and performance among early adopters of green supply chain management practices in Chinese manufacturing enterprises. J Oper Manag 22:265–289

    Google Scholar 

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Authors and Affiliations

  1. Department of Industrial Engineering, Faculty of Engineering, University of Kashan, 6 Km, Ghotbravandi Blvd, Kashan, 8731753153, Iran

    Hadi Mokhtari & Mohammad Taghi Rezvan

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  1. Hadi Mokhtari
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  2. Mohammad Taghi Rezvan
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Correspondence to Hadi Mokhtari.

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Mokhtari, H., Rezvan, M.T. A single-supplier, multi-buyer, multi-product VMI production-inventory system under partial backordering. Oper Res Int J 20, 37–57 (2020). https://doi.org/10.1007/s12351-017-0311-z

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  • DOI: https://doi.org/10.1007/s12351-017-0311-z

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