IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v182y2016icp564-578.html
   My bibliography  Save this article

Three-echelon supply chain coordination considering duopolistic retailers with perfect quality products

Author

Listed:
  • Modak, Nikunja Mohan
  • Panda, Shibaji
  • Sana, Shib Sankar

Abstract

This paper explores channel coordination and profit division issues of a manufacturer–distributer–duopolistic retailers supply chain for a product, where the manufacturer supplies lotsize of the product that contains a random portion of imperfect quality item. In manufacturer-Stackelberg vertical game setting, the duopolistic retailers׳ three behaviours – Cournot, Collusion and Stackelberg are discussed. Besides analyzing the effect of imperfect quality product on optimal decisions, the paper depicts the hybrid contract mechanism so that all units quantity discount with franchise fee resolves channel conflict though unable to provide win–win outcome. For surplus profit division, the paper proposes two sequential bargaining processes- backward and forward, where outcome of a Nash bargaining is dependent on the previous. It is found that, for channel coordinated win–win profit, the manufacturer prefers Collusion, Stackelberg and Cournot, while the retailer prefers the reverse and both prefer backward sequential bargaining. But, the distributers preference depends on the target profit that it sets during the bargaining process. The proposed mechanisms are illustrated by a numerical example.

Suggested Citation

  • Modak, Nikunja Mohan & Panda, Shibaji & Sana, Shib Sankar, 2016. "Three-echelon supply chain coordination considering duopolistic retailers with perfect quality products," International Journal of Production Economics, Elsevier, vol. 182(C), pages 564-578.
  • Handle: RePEc:eee:proeco:v:182:y:2016:i:c:p:564-578
    DOI: 10.1016/j.ijpe.2015.05.021
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527315001735
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ijpe.2015.05.021?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Haresh Gurnani & Mengze Shi, 2006. "A Bargaining Model for a First-Time Interaction Under Asymmetric Beliefs of Supply Reliability," Management Science, INFORMS, vol. 52(6), pages 865-880, June.
    2. anonymous, 2006. "Noteworthy: Texas jobs, agriculture, defense," Southwest Economy, Federal Reserve Bank of Dallas, issue Mar, pages 1-14.
    3. Sucky, Eric, 2005. "Inventory management in supply chains: A bargaining problem," International Journal of Production Economics, Elsevier, vol. 93(1), pages 253-262, January.
    4. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    5. Panda, Shibaji, 2014. "Coordination of a socially responsible supply chain using revenue sharing contract," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 67(C), pages 92-104.
    6. Xiao, Tiaojun & Qi, Xiangtong & Yu, Gang, 2007. "Coordination of supply chain after demand disruptions when retailers compete," International Journal of Production Economics, Elsevier, vol. 109(1-2), pages 162-179, September.
    7. Nagarajan, Mahesh & Sosic, Greys, 2008. "Game-theoretic analysis of cooperation among supply chain agents: Review and extensions," European Journal of Operational Research, Elsevier, vol. 187(3), pages 719-745, June.
    8. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    9. S. Panda & S. Saha & M. Basu, 2013. "Optimal pricing and lot-sizing for perishable inventory with price and time dependent ramp-type demand," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 127-138.
    10. Sheu, Jiuh-Biing, 2011. "Bargaining framework for competitive green supply chains under governmental financial intervention," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(5), pages 573-592, September.
    11. Cárdenas-Barrón, Leopoldo Eduardo, 2009. "Optimal ordering policies in response to a discount offer: Extensions," International Journal of Production Economics, Elsevier, vol. 122(2), pages 774-782, December.
    12. Shibaji Panda, 2013. "Coordinating Two-Echelon Supply Chains Under Stock And Price Dependent Demand Rate," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 30(02), pages 1-20.
    13. Khouja, Moutaz, 2003. "Optimizing inventory decisions in a multi-stage multi-customer supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 39(3), pages 193-208, May.
    14. Shibaji Panda & Subrata Saha, 2010. "Optimal production rate and production stopping time for perishable seasonal products with ramp-type time-dependent demand," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(6), pages 657-673.
    15. Khan, M. & Jaber, M.Y. & Guiffrida, A.L. & Zolfaghari, S., 2011. "A review of the extensions of a modified EOQ model for imperfect quality items," International Journal of Production Economics, Elsevier, vol. 132(1), pages 1-12, July.
    16. Luciano Salvietti & Neale R. Smith & Leopoldo Eduardo Cárdenas-Barrón, 2014. "A stochastic profit-maximising economic lot scheduling problem with price optimisation," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 8(2), pages 193-221.
    17. Sarkar, Biswajit & Saren, Sharmila & Wee, Hui-Ming, 2013. "An inventory model with variable demand, component cost and selling price for deteriorating items," Economic Modelling, Elsevier, vol. 30(C), pages 306-310.
    18. Panda, S. & Modak, N.M. & Sana, S.S. & Basu, M., 2015. "Pricing and replenishment policies in dual-channel supply chain under continuous unit cost decrease," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 913-929.
    19. Eroglu, Abdullah & Ozdemir, Gultekin, 2007. "An economic order quantity model with defective items and shortages," International Journal of Production Economics, Elsevier, vol. 106(2), pages 544-549, April.
    20. Salameh, M. K. & Jaber, M. Y., 2000. "Economic production quantity model for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 59-64, March.
    21. Rajeev Kohli & Heungsoo Park, 1989. "A Cooperative Game Theory Model of Quantity Discounts," Management Science, INFORMS, vol. 35(6), pages 693-707, June.
    22. Agnihothri, Saligrama R. & Kenett, Ron S., 1995. "The impact of defects on a process with rework," European Journal of Operational Research, Elsevier, vol. 80(2), pages 308-327, January.
    23. Ding, Ding & Chen, Jian, 2008. "Coordinating a three level supply chain with flexible return policies," Omega, Elsevier, vol. 36(5), pages 865-876, October.
    24. Charles A. Ingene & Mark E. Parry, 1995. "Channel Coordination When Retailers Compete," Marketing Science, INFORMS, vol. 14(4), pages 360-377.
    25. Subrata Saha & Shibaji Panda & Nikunja Mohan Modak & Manjusri Basu, 2015. "Mail-in-rebate coupled with revenue sharing and downward direct discount for supply chain coordination," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 23(4), pages 451-476.
    26. Nikunja Mohan Modak & Shibaji Panda & Shib Sankar Sana, 2015. "Managing a two-echelon supply chain with price, warranty and quality dependent demand," Cogent Business & Management, Taylor & Francis Journals, vol. 2(1), pages 1011014-101, December.
    27. Cárdenas-Barrón, Leopoldo Eduardo, 2009. "Optimal ordering policies in response to a discount offer: Corrections," International Journal of Production Economics, Elsevier, vol. 122(2), pages 783-789, December.
    28. Thomas, Douglas J. & Griffin, Paul M., 1996. "Coordinated supply chain management," European Journal of Operational Research, Elsevier, vol. 94(1), pages 1-15, October.
    29. Wee, H.M. & Yu, Jonas & Chen, M.C., 2007. "Optimal inventory model for items with imperfect quality and shortage backordering," Omega, Elsevier, vol. 35(1), pages 7-11, February.
    30. S. Panda & S. Saha & M. Basu, 2008. "A Note On Epq Model For Seasonal Perishable Products With Stock Dependent Demand," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(03), pages 301-315.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Liu, Yong & Liu, Zhi-yang & Ren, Wen-wen & Lin Forrest, Jeffrey Yi, 2020. "A coordination mechanism through relational contract in a two-echelon supply chain," Journal of Retailing and Consumer Services, Elsevier, vol. 56(C).
    2. Malekian, Yaser & Rasti-Barzoki, Morteza, 2019. "A game theoretic approach to coordinate price promotion and advertising policies with reference price effects in a two-echelon supply chain," Journal of Retailing and Consumer Services, Elsevier, vol. 51(C), pages 114-128.
    3. Shih-Pin Chen, 2017. "Effects of fuzzy data on decision making in a competitive supply chain," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(10), pages 1146-1160, October.
    4. Wang, Qifei & Hong, Xianpei & Gong, Yeming (Yale) & Chen, Wanying (Amanda), 2020. "Collusion or Not: The optimal choice of competing retailers in a closed-loop supply chain," International Journal of Production Economics, Elsevier, vol. 225(C).
    5. Saeide Bigdellou & Shirin Aslani & Mohammad Modarres, 2023. "Sustainable Trade Promotions in Case of Negative Demand Disruption in E-Commerce," Sustainability, MDPI, vol. 15(3), pages 1-17, January.
    6. Kwon, Yong Woo & Sheu, Jiuh-Biing & Yoo, Seung Ho, 2022. "Quadratic quantity discount contract under price-dependent demand and consumer returns," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).
    7. Yu Xia & Jing Li & Zhongyang Zhang, 2023. "Effects of price cap regulation on pharmaceutical supply chain under the zero markup drug policy," Operational Research, Springer, vol. 23(4), pages 1-27, December.
    8. Biswas, Indranil & Gupta, Rohit & Tiwari, Sunil & Talluri, Srinivas, 2023. "Multi-echelon supply chain coordination: Contract sequence and cut-off policies," International Journal of Production Economics, Elsevier, vol. 259(C).
    9. Hosseini-Motlagh, Seyyed-Mahdi & Nematollahi, Mohammadreza & Johari, Maryam & Sarker, Bhaba R., 2018. "A collaborative model for coordination of monopolistic manufacturer's promotional efforts and competing duopolistic retailers' trade credits," International Journal of Production Economics, Elsevier, vol. 204(C), pages 108-122.
    10. Nima Kazemi & Salwa Hanim Abdul-Rashid & Ehsan Shekarian & Eleonora Bottani & Roberto Montanari, 2016. "A fuzzy lot-sizing problem with two-stage composite human learning," International Journal of Production Research, Taylor & Francis Journals, vol. 54(16), pages 5010-5025, August.
    11. Khorshidvand, Behrooz & Soleimani, Hamed & Sibdari, Soheil & Seyyed Esfahani, Mir Mehdi, 2021. "Revenue management in a multi-level multi-channel supply chain considering pricing, greening, and advertising decisions," Journal of Retailing and Consumer Services, Elsevier, vol. 59(C).
    12. Sarkar, Biswajit & Sarkar, Mitali & Ganguly, Baishakhi & Cárdenas-Barrón, Leopoldo Eduardo, 2021. "Combined effects of carbon emission and production quality improvement for fixed lifetime products in a sustainable supply chain management," International Journal of Production Economics, Elsevier, vol. 231(C).
    13. Alibeiki, Hedayat & Li, Shanling & Vaidyanathan, Ramnath, 2020. "Market dominance or product cost advantage: Retail power impacts on assortment decisions," International Journal of Production Economics, Elsevier, vol. 222(C).
    14. Chernonog, Tatyana & Levy, Priel, 2023. "Co-creation of mobile app quality in a two-platform supply chain when platforms are asymmetric," European Journal of Operational Research, Elsevier, vol. 308(1), pages 183-200.
    15. Cheng, Rong & Duan, Yongrui & Zhang, Jianguang & Ke, Hua, 2021. "Impacts of store-brand introduction on a multiple-echelon supply chain," European Journal of Operational Research, Elsevier, vol. 292(2), pages 652-662.
    16. Chen, Xu & Li, Shanshan & Wang, Xiaojun, 2020. "Evaluating the effects of quality regulations on the pharmaceutical supply chain," International Journal of Production Economics, Elsevier, vol. 230(C).
    17. Liang, Guitian & Gu, Chaocheng, 2021. "The value of target sales rebate contracts in a supply chain with downstream competition," International Journal of Production Economics, Elsevier, vol. 242(C).
    18. Sudipta Sinha & Nikunja Mohan Modak & Shib Sankar Sana, 2020. "An entropic order quantity inventory model for quality assessment considering price sensitive demand," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 88-103, March.
    19. Syed Asif Raza, 2020. "Price Differentiation and Inventory Decisions in a Socially Responsible Dual-Channel Supply Chain with Partial Information Stochastic Demand and Cannibalization," Sustainability, MDPI, vol. 12(22), pages 1-42, November.
    20. Lingyu Gao & Xiaoli Wang, 2019. "Healthcare Supply Chain Network Coordination Through Medical Insurance Strategies with Reference Price Effect," IJERPH, MDPI, vol. 16(18), pages 1-23, September.
    21. Modak, Nikunja Mohan & Kazemi, Nima & Cárdenas-Barrón, Leopoldo Eduardo, 2019. "Investigating structure of a two-echelon closed-loop supply chain using social work donation as a Corporate Social Responsibility practice," International Journal of Production Economics, Elsevier, vol. 207(C), pages 19-33.
    22. Zhou, Wei & Zhang, Keang & Zhang, Ying & Duan, Yunlong, 2021. "Operation strategies with respect to insurance subsidy optimization for online retailers dealing with large items," International Journal of Production Economics, Elsevier, vol. 232(C).
    23. Barman, Abhijit & De, Pijus Kanti & Chakraborty, Ashis Kumar & Lim, Chee Peng & Das, Rubi, 2023. "Optimal pricing policy in a three-layer dual-channel supply chain under government subsidy in green manufacturing," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 401-429.
    24. Hosseini-Motlagh, Seyyed-Mahdi & Govindan, Kannan & Nematollahi, Mohammadreza & Jokar, Abbas, 2019. "An adjustable bi-level wholesale price contract for coordinating a supply chain under scenario-based stochastic demand," International Journal of Production Economics, Elsevier, vol. 214(C), pages 175-195.
    25. AlDurgam, Mohammad & Adegbola, Kehinde & Glock, Christoph H., 2017. "A single-vendor single-manufacturer integrated inventory model with stochastic demand and variable production rate," International Journal of Production Economics, Elsevier, vol. 191(C), pages 335-350.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Panda, S. & Modak, N.M. & Basu, M. & Goyal, S.K., 2015. "Channel coordination and profit distribution in a social responsible three-layer supply chain," International Journal of Production Economics, Elsevier, vol. 168(C), pages 224-233.
    2. Panda, S. & Modak, N.M. & Sana, S.S. & Basu, M., 2015. "Pricing and replenishment policies in dual-channel supply chain under continuous unit cost decrease," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 913-929.
    3. Zheng, Shiyuan & Negenborn, Rudy R., 2015. "Price negotiation between supplier and buyer under uncertainty with fixed demand and elastic demand," International Journal of Production Economics, Elsevier, vol. 167(C), pages 35-44.
    4. Hsu, Jia-Tzer & Hsu, Lie-Fern, 2013. "An EOQ model with imperfect quality items, inspection errors, shortage backordering, and sales returns," International Journal of Production Economics, Elsevier, vol. 143(1), pages 162-170.
    5. Sher, Mikhail M. & Kim, Seung-Lae & Banerjee, Avijit & Paz, Michael T., 2018. "A supply chain coordination mechanism for common items subject to failure in the electronics, defense, and medical industries," International Journal of Production Economics, Elsevier, vol. 203(C), pages 164-173.
    6. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2014. "Joint pricing and ordering policy for two echelon imperfect production inventory model with two cycles," International Journal of Production Economics, Elsevier, vol. 155(C), pages 229-238.
    7. Ghosh, Debabrata & Shah, Janat, 2015. "Supply chain analysis under green sensitive consumer demand and cost sharing contract," International Journal of Production Economics, Elsevier, vol. 164(C), pages 319-329.
    8. Taleizadeh, Ata Allah & Khanbaglo, Mahboobeh Perak Sari & Cárdenas-Barrón, Leopoldo Eduardo, 2016. "An EOQ inventory model with partial backordering and reparation of imperfect products," International Journal of Production Economics, Elsevier, vol. 182(C), pages 418-434.
    9. Hauck, Zsuzsanna & Vörös, József, 2015. "Lot sizing in case of defective items with investments to increase the speed of quality control," Omega, Elsevier, vol. 52(C), pages 180-189.
    10. Skouri, K. & Konstantaras, I. & Lagodimos, A.G. & Papachristos, S., 2014. "An EOQ model with backorders and rejection of defective supply batches," International Journal of Production Economics, Elsevier, vol. 155(C), pages 148-154.
    11. Khan, M. & Jaber, M.Y. & Guiffrida, A.L. & Zolfaghari, S., 2011. "A review of the extensions of a modified EOQ model for imperfect quality items," International Journal of Production Economics, Elsevier, vol. 132(1), pages 1-12, July.
    12. Sudipta Sinha & Nikunja Mohan Modak & Shib Sankar Sana, 2020. "An entropic order quantity inventory model for quality assessment considering price sensitive demand," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 88-103, March.
    13. Samuel Yousefi & Mustafa Jahangoshai Rezaee & Maghsud Solimanpur, 2021. "Supplier selection and order allocation using two-stage hybrid supply chain model and game-based order price," Operational Research, Springer, vol. 21(1), pages 553-588, March.
    14. Chakraborty, Tulika & Chauhan, Satyaveer S. & Ouhimmou, Mustapha, 2019. "Cost-sharing mechanism for product quality improvement in a supply chain under competition," International Journal of Production Economics, Elsevier, vol. 208(C), pages 566-587.
    15. Lie-Fern Hsu & Jia-Tzer Hsu, 2016. "Economic production quantity (EPQ) models under an imperfect production process with shortages backordered," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(4), pages 852-867, March.
    16. Roma Paolo & Perrone Giovanni, 2010. "Generic Advertising, Brand Advertising and Price Competition: An Analysis of Free-Riding Effects and Coordination Mechanisms," Review of Marketing Science, De Gruyter, vol. 8(1), pages 1-29, October.
    17. Tien-Yu Lin & Kuo-Lung Hou, 2015. "An imperfect quality economic order quantity with advanced receiving," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(2), pages 535-551, July.
    18. Lv, Wei & Li, Hongyi & Tang, Jiafu, 2017. "Bargaining model of labor disputes considering social mediation and bounded rationalityAuthor-Name: Liu, Dehai," European Journal of Operational Research, Elsevier, vol. 262(3), pages 1064-1071.
    19. Lippman, Steven A. & McCardle, Kevin F. & Tang, Christopher S., 2013. "Using Nash bargaining to design project management contracts under cost uncertainty," International Journal of Production Economics, Elsevier, vol. 145(1), pages 199-207.
    20. Tapan Kumar Datta, 2017. "Inventory system with defective products and investment opportunity for reducing defective proportion," Operational Research, Springer, vol. 17(1), pages 297-312, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:proeco:v:182:y:2016:i:c:p:564-578. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.