A VENDOR-BUYER SUPPLY CHAIN MODEL WITH IMPERFECT PRODUCTION UNDER TIME, PRICE AND PRODUCT RELIABILITY DEPENDENT DEMAND
Keywords:Supply chain, Pricing, Reliabillity, Imperfect Production
This article investigates a single-vendor single-buyer supply chain model where the market demand depends on time as well as selling price and product reliability. The vendor's production rate is not constant but depends on the market demand. The vendor's production process is not perfectly reliable; it may produce some percentage of defective items during a production run. The vendor takes up a lot-for-lot policy for delivering the ordered quantity to the buyer who performs 100\% screening after receiving each lot. The average total profit of the integrated supply chain is derived and a numerical example is taken to validate the developed model. The optimal results of the proposed model are also discussed for some particular cases. Sensitivity analysis is performed to investigate the influence of key model-parameters on the optimal results.
A Bhunia and A Shaikh (2014). A deterministic inventory model for deteriorating items with selling price dependent demand and three-parameter Weibull distributed deterioration. International Journal of Industrial Engineering Computations, 5(3):497-510. Retrieved from https://doi.org/10.5267/j.ijiec.2014.2.002
Avi Herbon and Eugene Khmelnitsky (2017). Optimal dynamic pricing and ordering of a perishable product under additive effects of price and time on demand. European Journal of Operational Research, 260(2): 546-556. Retrieved from https://doi.org/10.1016/j.ejor.2016.12.033
B Samanta, Bibhas C Giri, and K S Chaudhuri (2018). A Vendor-Buyer Supply Chain Model for Deteriorating Item with Quadratic Time-Varying Demand and Pro-rata Warranty Policy. In International workshop of Mathematical Analysis and Applications in Modeling, pages 371-383. Springer. Retrieved from https://doi.org/10.1007/978-981-15-0422-8_31
Balaji Roy and Bibhas C Giri (2020). A three-echelon supply chain model with price and two-level quality dependent demand. RAIRO-Operations Research, 54(1):37-52. Retrieved from https://doi.org/10.1051/ro/2018066
Barun Khara, Jayanta Kumar Dey, and Shyamal Kumar Mondal (2017). An inventory model under development cost-dependent imperfect production and reliability-dependent demand. Journal of Management Analytics, 4(3):258-275. Retrieved from https://doi.org/10.1080/23270012.2017.1344939
Barun Khara, Jayanta Kumar Dey, and Shyamal Kumar Mondal (2019). Effects of product reliability dependent demand in an EPQ model considering partially imperfect production. International Journal of Mathematics in Operational Research, 15(2):242-264. Retrieved from https://doi.org/10.1504/IJMOR.2019.10022969
Bibhas C Giri and B Roy (2015). A single-manufacturer multi-buyer supply chain inventory model with controllable lead time and price-sensitive demand. Journal of Industrial and Production Engineering, 32(8):516-527. Retrieved from https://doi.org/10.1080/21681015.2015.1086442
Bibhas C Giri and T Maiti (2012). Supply chain model for a deteriorating product with time-varying demand and production rate. Journal of the Operational Research Society, 63(5): 665-673. Retrieved from https://doi.org/10.1057/jors.2011.54
C J Chung and H-M Wee (2008). An integrated production-inventory deteriorating model for pricing policy considering imperfect production, inspection planning and warranty-period-and stock-level-dependant demand. International Journal of Systems Science, 39(8):823-837. Retrieved from https://doi.org/10.1080/00207720801902598
Haoya Chen, Youhua Frank Chen, Chun-Hung Chiu, Tsan-Ming Choi, and Suresh Sethi (2010). Coordination mechanism for the supply chain with leadtime consideration and price-dependent demand. European Journal of Operational Research, 203(1):70-80. Retrieved from https://doi.org/10.1016/j.ejor.2009.07.002
Hau-Ling Chan (2019). Supply chain coordination with inventory and pricing decisions. International Journal of Inventory Research, 5(3):234-250. Retrieved from https://doi.org/10.1504/IJIR.2019.10020307
Jen-Ming Chen (1998). An inventory model for deteriorating items with time-proportional demand and shortages under inflation and time discounting. International Journal of Production Economics, 55(1):21-30. Retrieved from https://doi.org/10.1016/S0925-5273(98)00011-5
Jinn-Tsair Teng and Chun-Tao Chang (2005). Economic production quantity models for deteriorating items with price-and stock-dependent demand. Computers & Operations Research, 32(2):297-308. Retrieved from https://doi.org/10.1016/S0305-0548(03)00237-5
Jungkyu Kim, Yushin Hong, and Taebok Kim (2011). Pricing and ordering policies for price-dependent demand in a supply chain of a single retailer and a single manufacturer. International Journal of Systems Science, 42(1):81-89. Retrieved from https://doi.org/10.1080/00207720903470122
Moncer A Hariga and Lakdere Benkherouf (1994). Optimal and heuristic inventory replenishment models for deteriorating items with exponential time-varying demand. European Journal of Operational Research, 79(1):123-137. Retrieved from https://doi.org/10.1016/0377-2217(94)90400-6
Moncer Hariga (1996). Optimal EOQ models for deteriorating items with time-varying demand. Journal of the Operational Research Society, 47(10):1228-1246. Retrieved from https://doi.org/10.1057/jors.1996.151
Nita H Shah and Bhavin J Shah (2014). EPQ model for time-declining demand with imperfect production process under inflationary conditions and reliability. International Journal of Operations Research, 11(3):91-99.
Nita H Shah and Chetansinh R Vaghela (2018). Imperfect production inventory model for time and effort dependent demand under inflation and maximum reliability. International Journal of Systems Science: Operations & Logistics, 5(1):60-68. Retrieved from https://doi.org/10.1080/23302674.2016.1229076
Nita H Shah and Monika K Naik (2020). Inventory Policies with Development Cost for Imperfect Production and Price-Stock Reliability-Dependent Demand. In Optimization and Inventory Management, pages 119-136. Springer. Retrieved from https://doi.org/10.1007/978-981-13-9698-4_7
P S You (2005). Inventory policy for products with price and time-dependent demands. Journal of the Operational Research Society, 56(7):870-873, Retrieved from https://doi.org/10.1057/palgrave.jors.2601905
Peng-Sheng You and Yi-Chih Hsieh (2007). An EOQ model with stock and price sensitive demand. Mathematical and Computer Modelling, 45(7-8):933-942. Retrieved from https://doi.org/10.1016/j.mcm.2006.09.003
Po-Chung Yang, Hui-Ming Wee, Shen-Lian Chung, and Yong-Yan Huang (2013). Pricing and replenishment strategy for a multi-market deteriorating product with time-varying and price-sensitive demand. Journal of Industrial & Management Optimization, 9(4):769. Retrieved from https://doi.org/10.3934/jimo.2013.9.769
R Roy Chowdhury, S K Ghosh, and K S Chaudhuri (2014). An order-level inventory model for a deteriorating item with time-quadratic demand and time-dependent partial backlogging with shortages in all cycles. American Journal of Mathematical and Management Sciences, 33(2):75-97. Retrieved from https://doi.org/10.1080/01966324.2014.881173
S K Ghosh and K S Chaudhuri (2006). An EOQ model with a quadratic demand, time-proportional deterioration and shortages in all cycles.International Journal of Systems Science, 37(10):663-672. Retrieved from https://doi.org/10.1080/00207720600568145
S K Ghosh, Sudhansu Khanra, and K S Chaudhuri (2011). Optimal price and lot size determination for a perishable product under conditions of finite production, partial backordering and lost sale. Applied Mathematics and Computation, 217(13):6047-6053. Retrieved from https://doi.org/10.1016/j.amc.2010.12.050
Seyed J Sadjadi, Mir-Bahador Aryanezhad, and Armin Jabbarzadeh (2009). An integrated pricing and lot sizing model with reliability consideration. In 2009 International Conference on Computers & Industrial Engineering, pages 808-813. IEEE. Retrieved from https://doi.org/10.1109/ICCIE.2009.5223880
Sudhansu Khanra and K S Chaudhuri (2003). A note on an order-level inventory model for a deteriorating item with time-dependent quadratic demand. Computers & Operations Research, 30(12):1901-1916. Retrieved from https://doi.org/10.1016/S0305-0548(02)00113-2
TCE Cheng (1989). An economic production quantity model with flexibility and reliability considerations. European Journal of Operational Research, 39(2):174-179. Retrieved from https://doi.org/10.1016/0377-2217(89)90190-2
Tal Avinadav, Avi Herbon, and Uriel Spiegel (2013). Optimal inventory policy for a perishable item with demand function sensitive to price and time. International Journal of Production Economics, 144(2):497-506. Retrieved from https://doi.org/10.1016/j.ijpe.2013.03.022
Tapan Kumar Datta and Karabi Paul (2001). An inventory system with stock-dependent, price-sensitive demand rate. Production planning & control, 12(1):13-20. Retrieved from https://doi.org/10.1080/09537280150203933
Tarun Maiti and Bibhas C Giri (2015). A closed loop supply chain under retail price and product quality dependent demand. Journal of Manufacturing Systems, 37:624-637. Retrieved from https://doi.org/10.1016/j.jmsy.2014.09.009
Tarun Maiti and Bibhas C Giri (2017). Two-period pricing and decision strategies in a two-echelon supply chain under price-dependent demand. Applied Mathematical Modelling, 42:655-674. Retrieved from https://doi.org/10.1016/j.apm.2016.10.051
Timothy H Burwell, Dinesh S Dave, Kathy E Fitzpatrick, and Melvin R Roy (1991). An inventory model with planned shortages and price dependent demand.Decision Sciences, 22(5):1187-1191. Retrieved from https://doi.org/10.1111/j.1540-5915.1991.tb01916.x
Wakhid Ahmad Jauhari, Nelita Putri Sejati, and Cucuk Nur Rosyidi (2016). A collaborative supply chain inventory model with defective items, adjusted production rate and variable lead time. International Journal of Procurement Management, 9(6):733-750. Retrieved from https://doi.org/10.1504/IJPM.2016.10000438
Wakhid Ahmad Jauhari (2016). Integrated vendor-buyer model with defective items, inspection error and stochastic demand. International Journal of Mathematics in Operational Research, 8(3):342-359. Retrieved from https://doi.org/10.1504/IJMOR.2016.075520
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