Socially concerned periodic review replenishment system with customer service level and supply chain contracting
RAIRO. Operations Research, Tome 55 (2021) no. 2, pp. 1077-1111

This study contributes to the periodic review inventory system literature by: (1) investigating customer service level (CSL) as a social responsibility in pharmaceutical supply chains (PSCs) and (2) proposing supply chain contracting to achieve win–win coordination and guarantee a satisfied CSL. Specifically, considering the demand uncertainty as one of the main challenges faced by pharmacies, we analyze how applying contracts to coordinate the inventory policy of a pharmacy with that of its supplier can affect their profits and the CSL offered to society. Having shown the advantages of the centralization compared to the decentralization, we design a coordination scheme based on the quantity discount contract to encourage the players move towards centralization. Under the proposed scheme, we first obtain the minimum and maximum acceptable amounts of discount from each actor’s viewpoint. Then, we propose a benefit-sharing strategy in order to make the plan interesting to both sides. The proposed discount contract and benefit-sharing strategy distribute the extra profits equitably between the two participants according to their bargaining power, which can make a win–win condition for two actors. Our results suggest that coordinating review period and order-up-to-level of the retailer and replenishment multiplier of the supplier will be of benefit in terms of both economic profitability and social responsibility.

DOI : 10.1051/ro/2021040
Classification : 90B50, 90B05, 91C99
Keywords: Supply chain coordination, quantity discount contract, customer service level, periodic review inventory policy, benefit-sharing strategy
@article{RO_2021__55_2_1077_0,
     author = {Johari, Maryam and Hosseini-Motlagh, Seyyed-Mahdi and Nematollahi, Mohammadreza and Goh, Mark and Ignatius, Joshua},
     title = {Socially concerned periodic review replenishment system with customer service level and supply chain contracting},
     journal = {RAIRO. Operations Research},
     pages = {1077--1111},
     year = {2021},
     publisher = {EDP-Sciences},
     volume = {55},
     number = {2},
     doi = {10.1051/ro/2021040},
     mrnumber = {4254328},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ro/2021040/}
}
TY  - JOUR
AU  - Johari, Maryam
AU  - Hosseini-Motlagh, Seyyed-Mahdi
AU  - Nematollahi, Mohammadreza
AU  - Goh, Mark
AU  - Ignatius, Joshua
TI  - Socially concerned periodic review replenishment system with customer service level and supply chain contracting
JO  - RAIRO. Operations Research
PY  - 2021
SP  - 1077
EP  - 1111
VL  - 55
IS  - 2
PB  - EDP-Sciences
UR  - https://www.numdam.org/articles/10.1051/ro/2021040/
DO  - 10.1051/ro/2021040
LA  - en
ID  - RO_2021__55_2_1077_0
ER  - 
%0 Journal Article
%A Johari, Maryam
%A Hosseini-Motlagh, Seyyed-Mahdi
%A Nematollahi, Mohammadreza
%A Goh, Mark
%A Ignatius, Joshua
%T Socially concerned periodic review replenishment system with customer service level and supply chain contracting
%J RAIRO. Operations Research
%D 2021
%P 1077-1111
%V 55
%N 2
%I EDP-Sciences
%U https://www.numdam.org/articles/10.1051/ro/2021040/
%R 10.1051/ro/2021040
%G en
%F RO_2021__55_2_1077_0
Johari, Maryam; Hosseini-Motlagh, Seyyed-Mahdi; Nematollahi, Mohammadreza; Goh, Mark; Ignatius, Joshua. Socially concerned periodic review replenishment system with customer service level and supply chain contracting. RAIRO. Operations Research, Tome 55 (2021) no. 2, pp. 1077-1111. doi: 10.1051/ro/2021040

[1] V. Albino, L. Fraccascia and I. Giannoccaro, Exploring the role of contracts to support the emergence of self-organized industrial symbiosis networks: an agent-based simulation study. J. Cleaner Prod. 112 (2016) 4353–4366.

[2] K. Annadurai and R. Uthayakumar, Reducing lost-sales rate in ( T , R , L ) inventory model with controllable lead time. Appl. Math. Model. 34 (2010) 3465–3477. | MR | Zbl

[3] G. P. Cachon, Supply chain coordination with contracts. Handbooks Oper. Res. Manage. Sci. 11 (2003) 227–339.

[4] G. P. Cachon and A. G. Kök, Competing manufacturers in a retail supply chain: On contractual form and coordination. Manage. Sci. 56 (2010) 571–589. | Zbl

[5] L. E. Cárdenas-Barrón, The economic production quantity (EPQ) with shortage derived algebraically. Int. J. Prod. Econ. 70 (2001) 289–292.

[6] L. E. Cárdenas-Barrón and S. S. Sana, A production-inventory model for a two-echelon supply chain when demand is dependent on sales teamsx initiatives. Int. J. Prod. Econ. 155 (2014) 249–258.

[7] L. E. Cárdenas-Barrón, A. A. Shaikh, S. Tiwari and G. Treviño-Garza, An EOQ inventory model with nonlinear stock dependent holding cost, nonlinear stock dependent demand and trade credit. Comput. Ind. Eng. 139 (2018) 105557.

[8] S. K. Chaharsooghi and J. Heydari, Supply chain coordination for the joint determination of order quantity and reorder point using credit option. Eur. J. Oper. Res. 204 (2010) 86–95. | Zbl

[9] T. M. Choi, Pricing and branding for remanufactured fashion products. J. Cleaner Prod. 165 (2017) 1385–1394.

[10] T. M. Choi, Y. Li and L. Xu, Channel leadership, performance and coordination in closed loop supply chains. Int. J. Prod. Econ. 146 (2013) 371–380. | DOI

[11] S. Chopra and P. Meindl, Supply chain management. Strategy, planning & operation. In: Das Summa Summarum des Management. Gabler (2007) 265–275. | DOI

[12] A. P. De Barros, C. S. Ishikiriyama, R. C. Peres and C. F. S. Gomes, Processes and benefits of the application of information technology in supply chain management: an analysis of the literature. Proc. Comput. Sci. 55 (2015) 698–705. | DOI

[13] S. Ebrahimi, S. M. Hosseini-Motlagh and M. Nematollahi, Proposing a delay in payment contract for coordinating a two-echelon periodic review supply chain with stochastic promotional effort dependent demand. Int. J. Mach. Learning Cybern. 10 (2019) 1037–1050. | DOI

[14] P. Garcia-Herreros, A. Agarwal, J. M. Wassick and I. E. Grossmann, Optimizing inventory policies in process networks under uncertainty. Comput. Chem. Eng. 92 (2016) 256–272. | DOI

[15] I. Giannoccaro and P. Pontrandolfo, Negotiation of the revenue sharing contract: an agent-based systems approach. Int. J. Prod. Econ. 122 (2009) 558–566. | DOI

[16] B. C. Giri and B. R. Sarker, Coordinating a two-echelon supply chain under production disruption when retailers compete with price and service level. Oper. Res. 16 (2016) 71–88.

[17] K. Govindan and A. Malomfalean, A framework for evaluation of supply chain coordination by contracts under O2O environment. Int. J. Prod. Econ. 215 (2019) 11–23. | DOI

[18] K. Govindan, M. N. Popiuc and A. Diabat, Overview of coordination contracts within forward and reverse supply chains. J. Cleaner Prod. 47 (2013) 319–334. | DOI

[19] S. Guo, B. Shen, T. M. Choi and S. Jung, A review on supply chain contracts in reverse logistics: supply chain structures and channel leaderships. J. Cleaner Prod. 144 (2017) 387–402. | DOI

[20] J. Heydari, Supply chain coordination using time-based temporary price discounts. Comput. Ind. Eng. 75 (2014) 96–101. | DOI

[21] J. Heydari, M. Mahmoodi and A. A. Taleizadeh, Lead time aggregation: a three-echelon supply chain model. Transp. Res. Part E: Logistics Transp. Rev. 89 (2016) 215–233. | DOI

[22] S. M. Hosseini-Motlagh, S. Ebrahimi and R. Zirakpourdehkordi, Coordination of dual-function acquisition price and corporate social responsibility in a sustainable closed-loop supply chain. J. Cleaner Prod. 251 (2020) 119629. | DOI

[23] S. M. Hosseini-Motlagh, M. Nouri, M. Johari and B. R. Sarker, Coordinating economic incentives, customer service and pricing decisions in a competitive closed-loop supply chain. J. Cleaner Prod. 255 (2020) 120241. | DOI

[24] M. Jazinaninejad, S. M. Seyedhosseini, S. M. Hosseini-Motlagh and M. Nematollahi, Coordinated decision-making on manufacturer’s EPQ-based and buyer’s period review inventory policies with stochastic price-sensitive demand: a credit option approach. RAIRO:OR 53 (2019) 1129–1154. | MR | Zbl | Numdam | DOI

[25] M. Johari and S. M. Hosseini-Motlagh, Coordination contract for a competitive pharmaceutical supply chain considering corporate social responsibility and pricing decisions. RAIRO:OR 54 (2020) 1515–1535. | MR | Numdam | DOI

[26] M. Johari, S. M. Hosseini-Motlagh and M. Nematollahi, Simultaneous coordination of review period and order-up-to-level in a manufacturer-retailer chain. J. Ind. Syst. Eng. 10 (2017) 1–17.

[27] 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: Logistics Trans. Rev. 114 (2018) 270–291. | DOI

[28] K. Kanchanasuntorn and A. Techanitisawad, An approximate periodic model for fixed-life perishable products in a two-echelon inventory-distribution system. Int. J. Prod. Econ. 100 (2006) 101–115. | DOI

[29] M. Karimi-Nasab and I. Konstantaras, An inventory control model with stochastic review interval and special sale offer. Eur. J. Oper. Res. 227 (2013) 81–87. | MR | Zbl | DOI

[30] C. Kouki and O. Jouini, On the effect of lifetime variability on the performance of inventory systems. Int. J. Prod. Econ. 167 (2015) 23–34. | DOI

[31] J. Li and L. Liu, Supply chain coordination with quantity discount policy. Int. J. Prod. Econ. 101 (2006) 89–98. | DOI

[32] Q. Meng, Z. Li, H. Liu and J. Chen, Agent-based simulation of competitive performance for supply chains based on combined contracts. Int. J. Prod. Econ. 193 (2017) 663–676. | DOI

[33] N. M. Modak, S. Panda, S. S. Sana and M. Basu, Corporate social responsibility, coordination and profit distribution in a dual-channel supply chain. Pac. Sci. Rev. 16 (2014) 235–249. | DOI

[34] D. C. Montgomery, M. S. Bazaraa and A. K. Keswani, Inventory models with a mixture of backorders and lost sales. Nav. Res. Logistics Q. 20 (1973) 255–263. | Zbl | DOI

[35] C. L. Munson and M. J. Rosenblatt, Theories and realities of quantity discounts: An exploratory study. Prod. Oper. Manage. 7 (1998) 352–369. | DOI

[36] M. Nematollahi, S. M. Hosseini-Motlagh and J. Heydari, Economic and social collaborative decision-making on visit interval and service level in a two-echelon pharmaceutical supply chain. J. Cleaner Prod. 142 (2017) 3956–3969. | DOI

[37] M. Nematollahi, S. M. Hosseini-Motlagh and J. Heydari, Coordination of social responsibility and order quantity in a two-echelon supply chain: a collaborative decision-making perspective. Int. J. Prod. Econ. 184 (2017) 107–121. | DOI

[38] M. Nematollahi, S. M. Hosseini-Motlagh, J. Ignatius, M. Goh and M. S. Nia, Coordinating a socially responsible pharmaceutical supply chain under periodic review replenishment policies. J. Cleaner Prod. 172 (2018) 2876–2891. | DOI

[39] J. Ni, J. Zhao and L. K. Chu, Supply contracting and process innovation in a dynamic supply chain with information asymmetry. Eur. J. Oper. Res. 288 (2021) 552–562. | MR | DOI

[40] M. Nouri, S. M. Hosseini-Motlagh and M. Nematollahi, Proposing a discount policy for two-level supply chain coordination with periodic review replenishment and promotional efforts decisions. Oper. Res. (2018) 1–34.

[41] M. Nouri, S. M. Hosseini-Motlagh, M. Nematollahi and B. R. Sarker, Coordinating manufacturer’s innovation and retailer’s promotion and replenishment using a compensation-based wholesale price contract. Int. J. Prod. Econ. 198 (2018) 11–24. | DOI

[42] L. Y. Ouyang and B. R. Chuang, A periodic review inventory model involving variable lead time with a service level constraint. Int. J. Syst. Sci. 31 (2000) 1209–1215. | Zbl | DOI

[43] L. Y. Ouyang and B. R. Chuang, A periodic review inventory-control system with variable lead time. Int. J. Inf. Manage. Sci. 12 (2001) 1–14. | MR | Zbl

[44] S. Panda, N. M. Modak and D. Pradhan, Corporate social responsibility, channel coordination and profit division in a two-echelon supply chain. Int. J. Manage. Sci. Eng. Manage. 11 (2016) 22–33.

[45] N. Privett and D. Gonsalvez, The top ten global health supply chain issues: perspectives from the field. Oper. Res. Health Care 3 (2014) 226–230. | DOI

[46] M. J. Rosenblatt and H. L. Lee, Improving profitability with quantity discounts under fixed demand. IIE Trans. 17 (1985) 388–395. | DOI

[47] B. Sarkar and A. S. Mahapatra, Periodic review fuzzy inventory model with variable lead time and fuzzy demand. Int. Trans. Oper. Res. 24 (2017) 1197–1227. | MR | DOI

[48] E. A. Silver and D. P. Bischak, The exact fill rate in a periodic review base stock system under normally distributed demand. Omega 39 (2011) 346–349. | DOI

[49] D. P. Song, J. X. Dong and J. Xu, Integrated inventory management and supplier base reduction in a supply chain with multiple uncertainties. Eur. J. Oper. Res. 232 (2014) 522–536. | MR | Zbl | DOI

[50] H. N. Soni and M. Joshi, A periodic review inventory model with controllable lead time and backorder rate in fuzzy-stochastic environment. Fuzzy Inf. Eng. 7 (2015) 101–114. | MR | DOI

[51] G. Tagaras and D. Vlachos, A periodic review inventory system with emergency replenishments. Manage. Sci. 47 (2001) 415–429. | Zbl | DOI

[52] Z. K. Weng, Channel coordination and quantity discounts. Manage. Sci. 41 (1995) 1509–1522. | Zbl | DOI

[53] R. Yang, W. Tang, R. Dai and J. Zhang, Contract design in reverse recycling supply chain with waste cooking oil under asymmetric cost information. J. Cleaner Prod. 201 (2018) 61–77. | DOI

[54] D. Q. Yao, X. Yue and J. Liu, Vertical cost information sharing in a supply chain with value-adding retailers. Omega 36 (2008) 838–851. | DOI

[55] S. Yin, T. Nishi and I. E. Grossmann, Optimal quantity discount coordination for supply chain optimization with one manufacturer and multiple suppliers under demand uncertainty. Int. J. Adv. Manuf. Technol. 76 (2015) 1173–1184. | DOI

[56] Q. Zhang, J. Luo and Y. Duan, Buyer–vendor coordination for fixed lifetime product with quantity discount under finite production rate. Int. J. Syst. Sci. 47 (2016) 821–834. | MR | Zbl | DOI

[57] P. Zhang, Y. He and C. V. Shi, Transshipment and coordination in a two-echelon supply chain. RAIRO:OR 51 (2017) 729–747. | MR | Zbl | Numdam | DOI

Cité par Sources :