In this paper, a single-vendor single-buyer integrated inventory model for a deteriorating item with consignment stock policy is developed, assuming that the market demand is stock dependent and there is space limitation on the buyer’s storage capacity. Both equal and unequal shipments from the vendor to the buyer are considered. The effects of the buyer’s space capacity on the average cost, shipment size, and production batch are studied through numerical example. It is deduced that production rate is the key factor to determine whether to use equal or unequal shipment strategy. Sensitivity analysis is carried out to establish the robustness of the solutions of the models developed.
Keywords: Consignment stock, vendor managed inventory, space constraint, stock dependent demand, deterioration
@article{RO_2021__55_S1_S1425_0,
author = {Sen, Nabin and Bardhan, Sudarshan and Giri, Bibhas Chandra},
title = {Consignment stock policy in an integrated vendor-buyer model for deteriorating item with stock dependent demand under buyer{\textquoteright}s space limitation},
journal = {RAIRO. Operations Research},
pages = {S1425--S1446},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
doi = {10.1051/ro/2020123},
mrnumber = {4223201},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2020123/}
}
TY - JOUR AU - Sen, Nabin AU - Bardhan, Sudarshan AU - Giri, Bibhas Chandra TI - Consignment stock policy in an integrated vendor-buyer model for deteriorating item with stock dependent demand under buyer’s space limitation JO - RAIRO. Operations Research PY - 2021 SP - S1425 EP - S1446 VL - 55 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2020123/ DO - 10.1051/ro/2020123 LA - en ID - RO_2021__55_S1_S1425_0 ER -
%0 Journal Article %A Sen, Nabin %A Bardhan, Sudarshan %A Giri, Bibhas Chandra %T Consignment stock policy in an integrated vendor-buyer model for deteriorating item with stock dependent demand under buyer’s space limitation %J RAIRO. Operations Research %D 2021 %P S1425-S1446 %V 55 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2020123/ %R 10.1051/ro/2020123 %G en %F RO_2021__55_S1_S1425_0
Sen, Nabin; Bardhan, Sudarshan; Giri, Bibhas Chandra. Consignment stock policy in an integrated vendor-buyer model for deteriorating item with stock dependent demand under buyer’s space limitation. RAIRO. Operations Research, Tome 55 (2021), pp. S1425-S1446. doi: 10.1051/ro/2020123
and , Consignment contracts with retail competition. Eur. J. Oper. Res. 215 (2011) 136–148. | Zbl | DOI
and , Single-period inventory dependent demand models. Omega 16 (1988) 605–607. | DOI
, , and , Consignment stock inventory policy: methodological framework and model. Int. J. Prod. Res. 48 (2010) 2055–2079. | Zbl | DOI
, , , and , Consignment stock inventory model in an integrated supply chain. Int. J. Prod. Res. 48 (2010) 477–500. | Zbl | DOI
, , and , Vendor Managed Inventory (VMI) with Consignment Stock (CS) agreement for a two-level supply chain with an imperfect production process with/without restoration interruptions. Int. J. Prod. Econ. 157 (2014) 289–301. | DOI
, and , A single-vendor multi-buyer production remanufacturing inventory system under a centralized consignment arrangement. Comput. Ind. Eng. 135 (2019) 10–27. | DOI
and , Modeling an industrial strategy for inventory management in supply chains: the “Consignment Stock” case. Int. J. Prod. Res. 41 (2003) 3793–3808. | Zbl | DOI
, and , Stock diffusion theory: a dynamic model for inventory control. Int. J. Prod. Res. 51 (2013) 3018–3036. | DOI
, and , Safety stock management in single vendor-single buyer problem under VMI with consignment stock agreement. Int. J. Prod. Econ. 154 (2014) 16–31. | DOI
, Non-cooperative consignment stock strategies for management in supply chain. Int. J. Prod. Econ. 143 (2013) 424–433. | DOI
and , The consignment stock of inventories in coordinated model with generalized policy. Comput. Ind. Eng. 82 (2015) 54–64. | DOI
, and , Channel coordination under consignment and vendor-managed inventory in a distribution system. Trans. Res. Part E: Log. Trans. Rev. 46 (2010) 831–843. | DOI
, Analysis of single critical number ordering policies for perishable inventories. Oper. Res. 24 (1976) 726–741. | Zbl | DOI
, , , and , Selective maintenance scheduling under stochastic maintenance quality with multiple maintenance actions. Int. J. Prod. Res. 56 (2018) 7160–7178. | DOI
, and , An integrated multi-product, multi-buyer supply chain under penalty, green, and quality control polices and a vendor managed inventory with consignment stock agreement: the outer approximation with equality relaxation and augmented penalty algorithm. Appl. Math. Model. 69 (2019) 223–254. | MR | DOI
, and , Joint economic lot-sizing in multi-product multi-level integrated supply chains: generalized benders decomposition. Int. J. Syst. Sci.: Oper. Log. 7 (2020) 309–325
, and , Modelling and optimal lot-sizing of the replenishments in constrained, multiproduct and bi-objective EPQ models with defective products: generalised cross decomposition. Int. J. Syst. Sci.: Opr. log. 7 (2020) 262–274.
, , , and , An integrated stochastic EPQ model under quality and green policies: generalised cross decomposition under the separability approach. To appear in: Int. J. Syst. Sci.: Opr. Log. (2019) DOI: . | DOI
, and , A two-echelon inventory model for a deteriorating item with stock-dependent demand, partial backlogging and capacity constraints. Euro. J. Oper. Res. 231 (2013) 587–597. | MR | DOI
and , A vendor-buyer JELS model with stock-dependent demand and consigned inventory under buyer’s space constraint. Oper. Res.: An Int. J. 15 (2015) 79–93.
, and , Consignment stock policy with unequal shipments and process unreliability for a two-level supply chain. Int. J. Prod. Res. 55 (2017) 2489–2505. | DOI
, and , Impact of consignment inventory and vendor-managed inventory for a two-party supply chain. Int. J. Prod. Econ. 113 (2008) 502–517. | DOI
, , and , Scheduling and lot sizing models for the single-vendor multi-buyer problem under consignment stock partnership. J. Oper. Res. Soc. 64 (2013) 995–1009. | DOI
, and , Storage constrained vendor managed inventory models with unequal shipment frequencies. Omega 48 (2014) 94–106. | DOI
, and , Operational and environmental decisions for a two-stage supply chain under vendor managed consignment inventory partnership. Int. J. Prod. Res. 57 (2019) 3642–3662. | DOI
, and , Vendor managed inventory with consignment stock for supply chain with stock- and price-dependent demand. Int. J. Prod. Res. 55 (2017) 5225–5242. | DOI
, , and , Supply chain coordination under vendor managed inventory-consignment stocking contracts with wholesale price constraint and fairness. Int. J. Prod. Econ. 202 (2018) 21–31. | DOI
, and , The impact of consumer returns policies on consignment contracts with inventory control. Euro. J. Oper. Res. 233 (2014) 398–407. | MR | Zbl | DOI
and , A note on: modeling an industrial strategy for inventory management in supply chains: the “Consignment Stock” case. Int. J. Prod. Res. 47 (2009) 6469–6475. | Zbl | DOI
, and , “Consignment Stock” for a two-level supply chain with entropy cost. Eur. J. Ind. Eng. 8 (2014) 244–272. | DOI
, and , An integrated supply chain model with errors in quality inspection and learning in production. Omega 42 (2014) 16–24. | DOI
, Store inventory can affect demand: empirical evidence from magazine retailing. J. Retail. 84 (2008) 165–179. | DOI
and , Contracting for vendor-managed inventory with consignment stock and stock out-cost sharing. Int. J. Prod. Econ. 151 (2014) 158–173. | DOI
, and , Supply chain coordination in vendor-managed inventory systems with stock out-cost sharing under limited storage capacity. Eur. J. Oper. Res. 248 (2016) 95–106. | MR | DOI
and , Managing level of consigned inventory with buyer’s warehouse capacity constraint. Prod. Plan. Cont. 19 (2008) 677–685. | DOI
, and , Forward and backward stocking policies for a two-level supply chain with consignment stock agreement and stock-dependent demand. Eur. J. Oper. Res. 256 (2017) 830–840. | MR | DOI
, and , Supply chain coordination and decision making under consignment contract with revenue sharing. Int. J. Prod. Econ. 120 (2009) 88–99. | DOI
and , A heuristic lot size reorder point model for decaying inventories. Manage. Sci. 25 (1979) 90–97. | DOI
, and , Consignment stock of inventories in the presence of obsolescence. Int. J. Prod. Res. 43 (2005) 4969–4988. | Zbl | DOI
and , Consignment contracting: Who should control inventory in the supply chain? Eur. J. Oper. Res. 201 (2010) 760–769. | Zbl | DOI
, and , An integrated vendor-buyer model with stock-dependent demand. Trans. Res. Part E: Log. Trans. Rev. 46 (2010) 963–974. | DOI
, Consignment stocking policy models for supply chain systems: A critical review and comparative perspectives. Int. J. Prod. Econ. 155 (2014) 52–67. | DOI
, and , Effectiveness of consignment stock policy under space limitations and deterioration. Int. J. Prod. Res. (2020) DOI: . | DOI
, and , Modelling and optimal lot-sizing of integrated multi-level multi-wholesaler supply chains under the shortage and limited warehouse space: generalized outer approximation. Int. J. Syst. Sci.: Oper. Log. 6 (2018) 237–257.
and , Decision Systems for Inventory Management and Production Planning, 2nd Edition, John Wiley and Sons, New York (1985).
and , Constrained integrated inventory model for multi-item under mixture of distributions. RAIRO:OR 52 (2018) 849–893. | MR | Zbl | Numdam | DOI
and , The consignment stock of inventories: industrial case and performance analysis. Int. J. Prod. Econ. 81 (2003) 215–224. | DOI
, and , Channel performance under consignment contract with revenue sharing. Manage. Sci. 50 (2004) 34–47. | Zbl | DOI
, , , Modeling the consignment inventory for a deteriorating item while the buyer has warehouse capacity constraint. Int. J. Prod. Econ. 138 (2012) 284–292. | DOI
, Economic production lot size model for deteriorating items with partial back-ordering approach. Comput. Ind. Eng. 24 (1993) 449–458. | DOI
, A model for control of style merchandize. Ind. Manage. Rev. 9 (1968) 69–82.
and , An operational policy for an integrated inventory system under consignment stock policy with controllable lead time and buyer’s space limitation. Comput. Oper. Res. 40 (2013) 2632–2645. | DOI
and , An operational consignment stock policy under normally distributed demand with controllable lead time and buyer’s space limitation. Int. J. Prod. Res. 52 (2014) 4853–4875. | DOI
, , and , Payment schemes for a two-level consignment stock supply chain system. Comput. Ind. Eng. 87 (2015) 491–505. | DOI
and , A note on an industrial strategy for stock management in supply chains: modeling and performance evaluation. Int. J. Prod. Res. 42 (2004) 4421–4426. | Zbl | DOI
, , A two-level supply chain with consignment stock agreement and stock-dependent demand. Int. J. Prod. Res. 53 (2015) 3561–3572. | DOI
, and , Vendor managed inventory (VMI) with consignment considering learning and forgetting effects. Int. J. Prod. Econ. 140 (2012) 721–730. | DOI
and , A one-vendor multi-buyer integrated production-inventory model: the “Consignment Stock” case. Int. J. Prod. Econ. 118 (2009) 225–232. | DOI
and , A two-warehouse inventory model for items with stock-level-dependent demand rate. Int. J. Prod. Econ. 95 (2005) 215–228. | DOI
, Inventory Control for Perishable Items. Chapel Hill, North Carolina (1964). | MR
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