A single-vendor, multiple-buyer coordinated supply chain model with unequal-sized batch shipments and cycle-dependent safety stocks

References

• Agrawal, A. K., and S. Yadav. 2020. “Price and Profit Structuring for Single Manufacturer Multi-Buyer Integrated Inventory Supply Chain Under Price-Sensitive Demand Condition.” Computers & Industrial Engineering 139: 106208. https://doi.org/10.1016/j.cie.2019.106208
   Web of Science ®Google Scholar
• Annadurai, K., and R. Uthayakumar. 2010. “Reducing Lost-Sales Rate in (T,R,L) Inventory Model with Controllable Lead Time.” Applied Mathematical Modelling 34 (11): 3465–3477. https://doi.org/10.1016/j.apm.2010.02.035
   Web of Science ®Google Scholar
• Atan, Z., L. V. Snyder, and G. R. Wilson. 2018. “Transshipment Policies for Systems with Multiple Retailers and Two Demand Classes.” OR Spectrum 40 (1): 159–186. https://doi.org/10.1007/s00291-017-0497-8
   Web of Science ®Google Scholar
• Battini, D., A. Gunasekaran, M. Faccio, A. Persona, and F. Sgarbossa. 2010. “Consignment Stock Inventory Model in an Integrated Supply Chain.” International Journal of Production Research 48 (2): 477–500. https://doi.org/10.1080/00207540903174981
   Web of Science ®Google Scholar
• Ben-Daya, M., R. As’ad, and K. A. Nabi. 2019. “A Single-Vendor Multi-Buyer Production Remanufacturing Inventory System Under a Centralized Consignment Arrangement.” Computers & Industrial Engineering 135: 10–27. https://doi.org/10.1016/j.cie.2019.05.032
   Web of Science ®Google Scholar
• Castellano, D., M. Gallo, A. Grassi, and L. C. Santillo. 2019. “The Effect of GHG Emissions on Production, Inventory Replenishment and Routing Decisions in a Single Vendor-Multiple Buyers Supply Chain.” International Journal of Production Economics 218: 30–42. https://doi.org/10.1016/j.ijpe.2019.04.010
   Web of Science ®Google Scholar
• Castellano, D., M. Gallo, and L. C. Santillo. 2021. “A Periodic Review Policy for a Coordinated Single Vendor-Multiple Buyers Supply Chain with Controllable Lead Time and Distribution-Free Approach.” 4OR 19 (3): 347–388. https://doi.org/10.1007/s10288-020-00448-9
   Google Scholar
• Chan, C. K., F. Fang, and A. Langevin. 2018. “Single-Vendor Multi-Buyer Supply Chain Coordination with Stochastic Demand.” International Journal of Production Economics 206: 110–133. https://doi.org/10.1016/j.ijpe.2018.09.024
   Web of Science ®Google Scholar
• Chan, C. K., and B. G. Kingsman. 2007. “Coordination in a Single-Vendor Multi-Buyer Supply Chain by Synchronizing Delivery and Production Cycles.” Transportation Research Part E: Logistics and Transportation Review 43 (2): 90–111. https://doi.org/10.1016/j.tre.2005.07.008
   Web of Science ®Google Scholar
• Chan, C. K., N. Man, F. Fang, and J. F. Campbell. 2020. “Supply Chain Coordination with Reverse Logistics: A Vendor/Recycler-Buyer Synchronized Cycles Model.” Omega 95: 102090. https://doi.org/10.1016/j.omega.2019.07.006
   Web of Science ®Google Scholar
• Chauhan, S. S., R. Nagi, and J.-M. Proth. 2004. “Strategic Capacity Planning in Supply Chain Design for a New Market Opportunity.” International Journal of Production Research 42 (11): 2197–2206. https://doi.org/10.1080/0020754042000197711
   Web of Science ®Google Scholar
• Chauhan, S. S., and J.-M. Proth. 2005. “Analysis of a Supply Chain Partnership with Revenue Sharing.” International Journal of Production Economics 97 (1): 44–51. https://doi.org/10.1016/j.ijpe.2004.05.006
   Web of Science ®Google Scholar
• Chen, Z. 2018. “Optimization of Production Inventory with Pricing and Promotion Effort for a Single-Vendor Multi-Buyer System of Perishable Products.” International Journal of Production Economics 203: 333–349. https://doi.org/10.1016/j.ijpe.2018.06.002
   Web of Science ®Google Scholar
• Chuang, B.-R., L.-Y. Ouyang, and K.-W. Chuang. 2004. “A Note on Periodic Review Inventory Model with Controllable Setup Cost and Lead Time.” Computers & Operations Research 31 (4): 549–561. https://doi.org/10.1016/S0305-0548(03)00013-3
   Web of Science ®Google Scholar
• Dada, M., and K. N. Srikanth. 1987. “Pricing Policies for Quantity Discounts.” Management Science 33 (10): 1247–1252. https://doi.org/10.1287/mnsc.33.10.1247
   Web of Science ®Google Scholar
• Dolgui, A., and J.-M. Proth. 2013. “Outsourcing: Definitions and Analysis.” International Journal of Production Research 51 (23-24): 6769–6777. https://doi.org/10.1080/00207543.2013.855338
   Web of Science ®Google Scholar
• Fauza, G., Y. Amer, S.-H. Lee, and H. Prasetyo. 2016. “An Integrated Single-Vendor Multi-Buyer Production-Inventory Policy for Food Products Incorporating Quality Degradation.” International Journal of Production Economics 182: 409–417. https://doi.org/10.1016/j.ijpe.2016.09.009
   Web of Science ®Google Scholar
• Ghasemi, E., N. Lehoux, and M. Rönnqvist. 2022. “Coordination, Cooperation, and Collaboration in Production-Inventory Systems: A Systematic Literature Review.” International Journal of Production Research5322. https://doi.org/10.1080/00207543.2022.2093681.
   Web of Science ®Google Scholar
• Glock, C. H. 2010. “Batch Sizing with Controllable Production Rates.” International Journal of Production Research 48 (20): 5925–5942. https://doi.org/10.1080/00207540903170906
   Web of Science ®Google Scholar
• Glock, C. H. 2012a. “The Joint Economic Lot Size Problem: A Review.” International Journal of Production Economics 135 (2): 671–686. https://doi.org/10.1016/j.ijpe.2011.10.026
   Web of Science ®Google Scholar
• Glock, C. H. 2012b. “Lead Time Reduction Strategies in a Single-Vendor–Single-Buyer Integrated Inventory Model with Lot Size-Dependent Lead Times and Stochastic Demand.” International Journal of Production Economics 136 (1): 37–44. https://doi.org/10.1016/j.ijpe.2011.09.007
   Web of Science ®Google Scholar
• Glock, C. H., and E. H. Grosse. 2021. “The Impact of Controllable Production Rates on the Performance of Inventory Systems: A Systematic Review of the Literature.” European Journal of Operational Research 288 (3): 703–720. https://doi.org/10.1016/j.ejor.2020.05.033
   Web of Science ®Google Scholar
• Glock, C. H., and J. M. Ries. 2013. “Reducing Lead Time Risk Through Multiple Sourcing: The Case of Stochastic Demand and Variable Lead Time.” International Journal of Production Research 51 (1): 43–56. https://doi.org/10.1080/00207543.2011.644817
   Web of Science ®Google Scholar
• Goyal, S. K. 1976. “An Integrated Inventory Model for a Single Supplier-Single Customer Problem.” International Journal of Production Research 15 (1): 107–111. https://doi.org/10.1080/00207547708943107
   Web of Science ®Google Scholar
• Hadley, G., and T. M. Whitin. 1963. Analysis of Inventory Systems. Englewood Cliffs, NJ: Prentice-Hall.
   Google Scholar
• Hariga, M. A. 2000. “Setup Cost Reduction in (Q, r) Policy with lot Size, Setup Time and Lead-Time Interactions.” Journal of the Operational Research Society 51 (11): 1340–1345. https://doi.org/10.1057/palgrave.jors.2601017
   Web of Science ®Google Scholar
• Hariga, M., and M. Ben-Daya. 1999. “Some Stochastic Inventory Models with Deterministic Variable Lead Time.” European Journal of Operational Research 113 (1): 42–51. https://doi.org/10.1016/S0377-2217(97)00441-4
   Web of Science ®Google Scholar
• Hill, R. M. 1997. “The Single-Vendor Single-Buyer Integrated Production-Inventory Model with a Generalised Policy.” European Journal of Operational Research 97 (3): 493–499. https://doi.org/10.1016/S0377-2217(96)00267-6
   Web of Science ®Google Scholar
• Hill, R. M. 1999. “The Optimal Production and Shipment Policy for the Single-Vendor Single-Buyer Integrated Production-Inventory Problem.” International Journal of Production Research 37 (11): 2463–2475. https://doi.org/10.1080/002075499190617
   Web of Science ®Google Scholar
• Hoque, M. A. 2020. “A Manufacturer-Buyers Integrated Inventory Model with Various Distributions of Lead Times of Delivering Equal- Sized Batches of a Lot.” Computers & Industrial Engineering 145: 106516. https://doi.org/10.1016/j.cie.2020.106516
   Web of Science ®Google Scholar
• Hoque, M. A., and A. Bhattacharya. 2020. “A Manufacturer-Buyers Integrated Inventory Model with Generic Distribution of Lead Times to Deliver Equal and/or Unequal Batch Sizes.” Computers & Operations Research 124: 105047. https://doi.org/10.1016/j.cor.2020.105047
   Web of Science ®Google Scholar
• Hsiao, Y.-C. 2008. “A Note on Integrated Single Vendor Single Buyer Model with Stochastic Demand and Variable Lead Time.” International Journal of Production Economics 114 (1): 294–297. https://doi.org/10.1016/j.ijpe.2007.01.018
   Web of Science ®Google Scholar
• Hsu, S.-L., and Y.-F. Huang. 2010. “An Integrated Inventory Model with Controllable Lead Time and Distribution-Free Demand.” Applied Stochastic Models in Business and Industry 26 (4): 416–430. https://doi.org/10.1002/asmb.795
   Web of Science ®Google Scholar
• Huang, F., and H. Song. 2020. “Periodic Review Integrated Inventory Model with Controllable Lead Time and Setup Cost in the Presence of a Service Level Constraint.” International Journal of Services Technology and Management 26 (6): 478–501. https://doi.org/10.1504/IJSTM.2020.110369
   Web of Science ®Google Scholar
• Jha, J. K., and K. Shanker. 2013. “Single-Vendor Multi-Buyer Integrated Production-Inventory Model with Controllable Lead Time and Service Level Constraints.” Applied Mathematical Modelling 37 (4) Elsevier Inc: 1753–1767. https://doi.org/10.1016/j.apm.2012.04.042
   Web of Science ®Google Scholar
• Jha, J. K., and K. Shanker. 2014. “An Integrated Inventory Problem with Transportation in a Divergent Supply Chain Under Service Level Constraint.” Journal of Manufacturing Systems 33 (4): 462–475. https://doi.org/10.1016/j.jmsy.2014.04.002
   Web of Science ®Google Scholar
• Jia, T., Y. Liu, N. Wang, and F. Lin. 2016. “Optimal Production-Delivery Policy for a Vendor-Buyers Integrated System Considering Postponed Simultaneous Delivery.” Computers & Industrial Engineering 99: 1–15. https://doi.org/10.1016/j.cie.2016.07.002
   Web of Science ®Google Scholar
• Joglekar, P. N. 1988. “Note—Comments on “A Quantity Discount Pricing Model to Increase Vendor Profits”.” Management Science 34 (11): 1391–1398. https://doi.org/10.1287/mnsc.34.11.1391
   Web of Science ®Google Scholar
• Joglekar, P., and S. Tharthare. 1990. “The Individually Responsible and Rational Decision Approach to Economic Lot Sizes for One Vendor and Many Purchasers.” Decision Sciences 21 (3): 492–506. https://doi.org/10.1111/j.1540-5915.1990.tb00329.x
   Web of Science ®Google Scholar
• Khouja, M., and A. Mehrez. 1994. “Economic Production Lot Size Model with Variable Production Rate and Imperfect Quality.” Journal of the Operational Research Society 45 (12): 1405–1417. https://doi.org/10.1057/jors.1994.217
   Web of Science ®Google Scholar
• Kurdhi, N. A., X. Yuliana, and B. Suratno. 2021. “Integrated Production Inventory Routing Planning for Vendor-Buyers Coordination Supply Chain with Probabilistic Demand, Unstable Lead Time, Setup Cost Reduction, Service Level Consideration.” International Journal of Revenue Management 12 (3/4): 258–279. https://doi.org/10.1504/IJRM.2021.120365
   Google Scholar
• Lal, R., and R. Staelin. 1984. “An Approach for Developing an Optimal Discount Pricing Policy.” Management Science 30 (12): 1524–1539. https://doi.org/10.1287/mnsc.30.12.1524
   Web of Science ®Google Scholar
• Lee, Y. C. E., C. K. Chan, A. Langevin, and H. W. J. Lee. 2016. “Integrated Inventory-Transportation Model by Synchronizing Delivery and Production Cycles.” Transportation Research Part E: Logistics and Transportation Review 91: 68–89. https://doi.org/10.1016/j.tre.2016.03.017
   Web of Science ®Google Scholar
• Liao, C.-J., and C.-H. Shyu. 1991. “An Analytical Determination of Lead Time with Normal Demand.” International Journal of Operations & Production Management 11 (9): 72–78. https://doi.org/10.1108/EUM0000000001287
   Google Scholar
• Majumder, A., C. K. Jaggi, and B. Sarkar. 2018. “A Multi-Retailer Supply Chain Model with Backorder and Variable Production Cost.” RAIRO - Operations Research 52 (3): 943–954. https://doi.org/10.1051/ro/2017013
   Web of Science ®Google Scholar
• Mandal, P., and B. C. Giri. 2015. “A Single-Vendor Multi-Buyer Integrated Model with Controllable Lead Time and Quality Improvement Through Reduction in Defective Items.” International Journal of Systems Science: Operations & Logistics 2 (1): 1–14. https://doi.org/10.1080/23302674.2014.997818
   Google Scholar
• Mou, Q., Y. Cheng, and H. Liao. 2017. “A Note on “Lead Time Reduction Strategies in a Single-Vendor-Single-Buyer Integrated Inventory Model with lot Size-Dependent Lead Times and Stochastic Demand”.” International Journal of Production Economics 193: 827–831. https://doi.org/10.1016/j.ijpe.2017.09.012
   Web of Science ®Google Scholar
• Nahmias, S. 2013. Production and Operations Analysis. New York, NY: McGraw-Hill/Irwin.
   Google Scholar
• Pinçe, C., U. Gürler, and E. Berk. 2008. “A Continuous Review Replenishment-Disposal Policy for an Inventory System with Autonomous Supply and Fixed Disposal Costs.” European Journal of Operational Research 190 (2): 421–442. https://doi.org/10.1016/j.ejor.2007.04.055
   Web of Science ®Google Scholar
• Sarkar, S., and B. C. Giri. 2022. “Safety Stock Management in a Supply Chain Model with Waiting Time and Price Discount Dependent Backlogging Rate in Stochastic Environment.” Operational Research 22 (2): 917–946. https://doi.org/10.1007/s12351-020-00587-1
   Web of Science ®Google Scholar
• Sarkar, B., A. Majumder, M. Sarkar, N. Kim, and M. Ullah. 2018. “Effects of Variable Production Rate on Quality of Products in a Single-Vendor Multi-Buyer Supply Chain Management.” The International Journal of Advanced Manufacturing Technology 99 (1-4): 567–581. https://doi.org/10.1007/s00170-018-2527-3
   Web of Science ®Google Scholar
• Shin, D., R. Guchhait, B. Sarkar, and M. Mittal. 2016. “Controllable Lead Time, Service Level Constraint, and Transportation Discounts in a Continuous Review Inventory Model.” RAIRO - Operations Research 50 (4-5): 921–934. https://doi.org/10.1051/ro/2015055
   Web of Science ®Google Scholar
• Silver, E. A., D. F. Pyke, and D. J. Thomas. 2017. Inventory and Production Management in Supply Chains. Boca Raton, FL: CRC Press.
   Google Scholar
• Taleizadeh, A. A., S. T. A. Niaki, and A. Makui. 2012. “Multiproduct Multiple-Buyer Single-Vendor Supply Chain Problem with Stochastic Demand, Variable Lead-Time, and Multi-Chance Constraint.” Expert Systems with Applications 39 (5): 5338–5348. https://doi.org/10.1016/j.eswa.2011.11.001
   Web of Science ®Google Scholar
• Tarhini, H., M. Karam, and M. Y. Jaber. 2020. “An Integrated Single-Vendor Multi-Buyer Production Inventory Model with Transshipments Between Buyers.” International Journal of Production Economics 225: 107568. https://doi.org/10.1016/j.ijpe.2019.107568
   Web of Science ®Google Scholar
• Tersine, R. J. 2002. Principles of Inventory and Materials Management. Upper Saddle River, NJ: Prentice Hall.
   Google Scholar
• Uthayakumar, R., and M. Ganesh Kumar. 2019. “Single-Vendor Multi-Buyer Integrated Inventory System for Multi-Item.” International Journal of Mathematics in Operational Research 14 (3): 359–376. https://doi.org/10.1504/IJMOR.2019.099384
   Google Scholar
• Villarreal, B., J. A. Garza-Reyes, and V. Kumar. 2016. “Lean Road Transportation – a Systematic Method for the Improvement of Road Transport Operations.” Production Planning & Control 27 (11): 865–877. https://doi.org/10.1080/09537287.2016.1152405
   Web of Science ®Google Scholar
• Zavanella, L., and S. Zanoni. 2009. “A One-Vendor Multi-Buyer Integrated Production-Inventory Model: The ‘Consignment Stock’ Case.” International Journal of Production Economics 118 (1): 225–232. https://doi.org/10.1016/j.ijpe.2008.08.044
   Web of Science ®Google Scholar