Revenue and risk sharing in view of uncertain demand during the pandemics
RAIRO. Operations Research, Tome 56 (2022) no. 3, pp. 1807-1821

Due to stochastic demand during the pandemics and uncertain environment, the vendor and the retailer share their risks and benefits by applying revenue sharing and markdown policy in order to reduce the risks and achieve a win-win contract. Three supply chain coordination policies, decentralized policy, centralized vendor-retailer policy and centralized vendor-retailer revenue sharing policy are developed. An example with uniform probability demand is used to illustrate the model. The result shows that the revenue sharing contract is more attractive for the retailer, and the centralized policy is more attractive for the vendor. Therefore, price markdowns are used to share benefits. The sensitivity analysis shows that the number of markdowns is not sensitive to the variances in the uniform demand distribution. A win-win contract based on a revenue sharing and price markdown is developed. A case example shows that the mechanism of price markdowns and revenue sharing contract affect the optimal supply chain profit in view of the pandemics and uncertain environment.

Reçu le :
Accepté le :
Première publication :
Publié le :
DOI : 10.1051/ro/2022076
Classification : 90B05, 90B06
Keywords: Inventory, pandemics, markdown prices, Price dependent demand, revenue sharing
@article{RO_2022__56_3_1807_0,
     author = {Huang, Yen-Deng and Widyadana, Gede Agus and Wee, Hui Ming and Blos, Mauricio Fontoura},
     title = {Revenue and risk sharing in view of uncertain demand during the pandemics},
     journal = {RAIRO. Operations Research},
     pages = {1807--1821},
     year = {2022},
     publisher = {EDP-Sciences},
     volume = {56},
     number = {3},
     doi = {10.1051/ro/2022076},
     mrnumber = {4445945},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ro/2022076/}
}
TY  - JOUR
AU  - Huang, Yen-Deng
AU  - Widyadana, Gede Agus
AU  - Wee, Hui Ming
AU  - Blos, Mauricio Fontoura
TI  - Revenue and risk sharing in view of uncertain demand during the pandemics
JO  - RAIRO. Operations Research
PY  - 2022
SP  - 1807
EP  - 1821
VL  - 56
IS  - 3
PB  - EDP-Sciences
UR  - https://www.numdam.org/articles/10.1051/ro/2022076/
DO  - 10.1051/ro/2022076
LA  - en
ID  - RO_2022__56_3_1807_0
ER  - 
%0 Journal Article
%A Huang, Yen-Deng
%A Widyadana, Gede Agus
%A Wee, Hui Ming
%A Blos, Mauricio Fontoura
%T Revenue and risk sharing in view of uncertain demand during the pandemics
%J RAIRO. Operations Research
%D 2022
%P 1807-1821
%V 56
%N 3
%I EDP-Sciences
%U https://www.numdam.org/articles/10.1051/ro/2022076/
%R 10.1051/ro/2022076
%G en
%F RO_2022__56_3_1807_0
Huang, Yen-Deng; Widyadana, Gede Agus; Wee, Hui Ming; Blos, Mauricio Fontoura. Revenue and risk sharing in view of uncertain demand during the pandemics. RAIRO. Operations Research, Tome 56 (2022) no. 3, pp. 1807-1821. doi: 10.1051/ro/2022076

[1] H. V. Arani, M. Rabbani and H. Rafiei, A revenue-sharing option contract toward coordination of supply chains. Int. J. Prod. Econ. 178 (2016) 42–56. | DOI

[2] G. P. Cachon and M. A. Lariviere, Supply chain coordination with revenue-sharing contracts: Strengths and limitations. Manage. Sci. 51 (2005) 30–44. | Zbl | DOI

[3] C. Canyakmaz, S. Özekici and F. Karaesmen, An inventory model where customer demand is dependent on a stochastic price process. Int. J. Prod. Econ. 212 (2019) 139–152. | DOI

[4] Y. Chen, S.-H. Chung and S. Guo, Franchising contracts in fashion supply chain operations models, practices. and real case study, Ann. Oper. Res. 291 (2020) 83–128. | DOI

[5] Z. P. Cheng, X. D. Yang and A. A. Tsay, Designing structured supply contracts under demand and price uncertainty in an open supply chain. Ann. Oper. Res. 257 (2017) 519–536. | MR | Zbl | DOI

[6] T. Chernonog, Strategic information sharing in online retailing under a consignment contract with revenue sharing. Ann. Oper. Res. 300 (2021) 621–641. | MR | Zbl | DOI

[7] T.-M. Choi, K. Govindan, X. Li and Y. J. Li, Innovative supply chain optimization models with multiple uncertainty factors. Ann. Oper. Res. 257 (2017) 1–14. | MR | Zbl | DOI

[8] T.-M. Choi, Supply chain financing using blockchain impacts on supply chains selling fashionable products. Ann. Oper. Res. (2020). DOI: . | DOI | MR | Zbl

[9] W. Chung, S. Talluri and R. Narasimhan, Price markdown scheme in a multi-echelon supply chain in a high-tech industry. Eur. J. Oper. Res. 215 (2011) 581–589. | MR | Zbl | DOI

[10] Ö. Cosgun, U. Kula and C. Kahraman, Markdown optimization for an apparel retailer under cross-price and initial inventory effects. Knowledge-Based Syst. 120 (2017) 186–187. | DOI

[11] F. El-Ouardighi, Supply quality management with optimal wholesale price and revenue sharing contracts: A two-stage game approach. Int. J. Prod. Econ. 156 (2014) 260–268. | DOI

[12] R. A. Gholami, L. K. Sandal and J. Ubøe, A solution algorithm for multi-period bi-level channel optimization with dynamic price-dependent stochastic demand. Omega 102 (2021) 102297. | DOI

[13] I. Giannoccaro and P. Pontrandolfo, Supply chain coordination by revenue sharing contracts. Int. J. Prod. Econ. 89 (2004) 131–139. | DOI

[14] P. Haren and D. Simchi-Levi, How Coronavirus could impact the global supply chain by mid-March. Harvard Bus. Rev. (2020). Retrieved May 13, 2020.

[15] Mdr Hasan, T. C. Roy, Y. Daryanto and H. M. Wee, Optimizing inventory level and technology investment under a carbon tax, cap-and-trade and strict carbon limit regulations. Sustainable Prod. Consumption 25 (2021) 604–621. | DOI

[16] B. Hu, D. Xu and C. Meng, Inconsistency of retailer’s optimal policies and channel performance under revenue sharing contracts. Int. J. Prod. Econ. 183 (2017) 53–65. | DOI

[17] O. Jadidi, M. Y. Jaber and S. Zolfaghari, Joint pricing and inventory problem with price dependent stochastic demand and price discounts. Comput. Indust. Eng. 114 (2017) 45–53. | DOI

[18] M. Johari, S.-M. Hosseini-Motlagh, M. Nematollahi, M. Goh and J. Ignatius, Bi-level credit period coordination for periodic review inventory system with price-credit dependent demand under time value of money. Transp. Res. Part E 114 (2018) 270–291. | DOI

[19] C. Kebing, G. Chengxiu and W. Yan, Revenue-sharing contract to coordinate independent participants within the supply chain. J. Syst. Eng. Electron. 18 (2007) 520–526. | Zbl | DOI

[20] M. Khouja, The newsboy problem under progressive multiple discounts. Euro. J. Oper. Res. 84 (1995) 458–466. | Zbl | DOI

[21] X. F. Liu, J. Li, J. Wu and G. Q. Zhang, Coordination of supply chain with a dominant retailer under government price regulation by revenue sharing contracts. Ann. Oper. Res. 257 (2017) 587–612. | MR | Zbl | DOI

[22] F. Mafakheri and F. Nasiri, Revenue sharing coordination in reverse logistics. J. Cleaner Prod. 59 (2013) 185–196. | DOI

[23] A. H. M. Mashud, Md.R Hasan, Y. Daryanto and H. M. Wee, A resilient hybrid payment supply chain inventory model for post Covid-19 recovery. Comput. Indust. Eng. 157 (2021a) 107249. | DOI

[24] A. H. M. Mashud, D. Roy, Y. Daryanto and H. M. Wee, Joint price deteriorating inventory model considering product life cycle and advance payment a discount facility. RAIRO Oper. Res. 55 (2021b) S1069–S1088. | MR | Zbl | Numdam | DOI

[25] N. M. Modak and P. Kelle, Managing a dual-channel supply chain under price and delivery-time dependent stochastic demand. Eur. J. Oper. Res. 272 (2019) 147–161. | MR | Zbl | DOI

[26] M. Nagare and P. Dutta, Single-period ordering and pricing policies with markdown, multivariate demand dan customer price sensitivity. Comput. Indust. Eng. 125 (2018) 451–466. | DOI

[27] A. Namin, B. T. Ratchford and G. P. Soysal, An empirical analysis of demand variations and markdown policies for fashion retailers. J. Retailing Consum. Serv. 38 (2017) 126–136. | DOI

[28] T. Nie and S. Du, Dual-fairness supply chain with quantity discount contracts. Eur. J. Oper. Res. 258 (2017) 491–500. | MR | Zbl | DOI

[29] O. D. Palsule-Desai, Supply chain coordination using revenue-dependent revenue sharing contracts. Omega 41 (2013) 780–796. | DOI

[30] S. K. Paul and P. Chowdhury, Strategies for managing the impacts of disruptions during COVID-19 an example of toilet paper. Global J. Flexible Syst. Manage. 21 (2020) 283–293. | DOI

[31] S. K. Paul, R. Sarker and D. Essam, A disruption recovery model in a production-inventory system with demand uncertainty and process reliability. Lect. Notes Comput. Sci. 8104 (2013) 511–522. | DOI

[32] S. K. Paul, A. Azeem, R. Sarker and D. Essam, Development of a production inventory model with uncertainty and reliability considerations. Optim. Eng. 15 (2014a) 697–720. | MR | Zbl | DOI

[33] S. K. Paul, R. Sarker and D. Essam, Managing real-time demand fluctuation under a supplier-retailer coordinated system. Int. J. Prod. Econ. 158 (2014b) 231–243. | DOI

[34] N. C. Petruzzi and M. Dada, Pricing and the newsvendor problem: A review with extensions. Oper. Res. 47 (1999) 83–194. | Zbl | DOI

[35] S. A. Raza, Supply chain coordination under a revenue-sharing contract with corporate social responsibility and partial demand information. Int. J. Prod. Econ. 205 (2018) 1–14. | DOI

[36] S. A. Raza, F. C. Abdullakutty, S. Rathinam and S. M. Govindaluri, Multi-objective framework for process mean selection and price differentiation with leakage effects under price-dependent stochastic demand. Comput. Indust. Eng. 127 (2019) 698–708. | DOI

[37] S. Y. Ren, H.-L. Chan and P. Ram, A comparative study on fashion demand forecasting models with multiple sources of uncertainty. Ann. Oper. Res. 257 (2017) 335–355. | MR | DOI

[38] G. P. Sarathi, S. P. Sarmah and M. Jenamani, An integrated revenue sharing and quantity discounts contract for coordinating a supply chain dealing with short life-cycle products. Appl. Math. Model. 38 (2014) 4120–4136. | MR | Zbl | DOI

[39] N. H. Shah, G. A. Widyadana and H. M. Wee, Stackelberg game for two-level supply chain with price markdown option. Int. J. Comput. Math. 91 (2014) 1054–1060. | MR | Zbl | DOI

[40] A. A. Taleizadeh, K. Govindan and N. Ebrahimi, The effect of promotional cost sharing on the decisions of two-level supply chain with uncertain demand. Ann. Oper. Res. 290 (2020) 747–781. | MR | Zbl | DOI

[41] A. A. Tsay, Managing retail channel overstock: Markdown money and return policies. J. Retailing 77 (2001) 457–492. | DOI

[42] T. L. Urban and R. C. Baker, Optimal ordering and pricing policies in a single-period environment with multivariate demand and markdowns. Eur. J. Oper. Res. 103 (1997) 573–583. | Zbl | DOI

[43] B. Van Der Rhee, G. Schmidt, J. A. A. Van Der Veen and V. Venugopal, Revenue-sharing contracts across an extended supply chain. Bus. Horiz. 57 (2014) 473–482. | DOI

[44] S. V. Venkataraman and D. Asfaw, Buyback contract under asymmetric information about retailer’s loss aversion nature. Ann. Oper. Res. 295 (2020) 385–409. | MR | Zbl | DOI

[45] C. X. Wang and S. Webster, Markdown money contracts for perishable goods with clearance pricing. Eur. J. Oper. Res. 196 (2009) 1113–1122. | MR | Zbl | DOI

[46] X. Wang, X. Wang and Y. Su, Wholesale-price contract of supply chain with information gathering. Appl. Math. Model. 37 (2013) 3848–3860. | MR | Zbl | DOI

[47] J. Xie, W. Zhang, L. Liang, Y. Xia, J. Yin and G. Yang, The revenue and cost sharing contract of pricing and servicing policies in a dual-channel closed-loop supply chain. J. Cleaner Prod. 191 (2018) 364–383.

[48] F. Wang, A. Diabat and L. Wu, Supply chain coordination with competing suppliers under price-sensitive stochastic demand. Int. J. Prod. Econ. 234 (2021) 108020. | DOI

[49] R. Yadav, S. Pareek and M. Mittal, Stackelberg models in two-level supply chain with imperfect quality items with allowable shortages. Sci. Iran. (2021). DOI: . | DOI

[50] Z. Yao, S. C. H. Leung and K. K. Lai, Manufacturer’s revenue-sharing contract and retail competition. Eur. J. Oper. Res. 186 (2008) 637–651. | MR | Zbl | DOI

[51] P. S. You, Inventory policy for products with price and time-dependent demands. J. Oper. Res. Soc. 56 (2005) 870–873. | Zbl | DOI

[52] Y. Zhao, T.-M. Choi, T. C. E. Cheng, S. P. Sethi and S. Wang, Buyback contracts with price-dependent demands: Effects of demand uncertainty. Eur. J. Oper. Res. 239 (2014) 663–673. | MR | Zbl | DOI

Cité par Sources :