A three-echelon supply chain model with price and two-level quality dependent demand
RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 1, pp. 37-52.

This paper considers a three-echelon supply chain model with one supplier, one manufacturer and one retailer for trading a single product. We assume that the market demand at the retailer’s end is stochastic, but dependent on price and quality of the product. The final product’s quality depends on the manufacturing process and the raw material’s quality. We first develop models for centralized and decentralized scenarios. Then we try to coordinate the decentralized system with some contract mechanism. We show that revenue sharing contract is not able to coordinate the system, but a composite contract comprised of sales rebate and penalty (SRP) with return is able to coordinate the system. Finally, we illustrate the developed model with a numerical example and show the efficiency of SRP with return policy. We graphically show the effects of various model-parameters on the optimal decisions. Most of the existing literature’s focus on the quality of the finished product, but in this model we incorporate the quality of the raw material as a decision variable along with the finished product quality. We also able to coordinate the three echelon model with a composite contract which is seldom addressed in the existing literatures.

DOI : 10.1051/ro/2018066
Classification : 90B50
Mots-clés : Pricing, product quality, raw material quality, three-echelon, coordination
@article{RO_2020__54_1_37_0,
     author = {Roy, Balaji and Giri, Bibhas Chandra},
     title = {A three-echelon supply chain model with price and two-level quality dependent demand},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {37--52},
     publisher = {EDP-Sciences},
     volume = {54},
     number = {1},
     year = {2020},
     doi = {10.1051/ro/2018066},
     mrnumber = {4052233},
     zbl = {1437.90035},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1051/ro/2018066/}
}
TY  - JOUR
AU  - Roy, Balaji
AU  - Giri, Bibhas Chandra
TI  - A three-echelon supply chain model with price and two-level quality dependent demand
JO  - RAIRO - Operations Research - Recherche Opérationnelle
PY  - 2020
SP  - 37
EP  - 52
VL  - 54
IS  - 1
PB  - EDP-Sciences
UR  - http://archive.numdam.org/articles/10.1051/ro/2018066/
DO  - 10.1051/ro/2018066
LA  - en
ID  - RO_2020__54_1_37_0
ER  - 
%0 Journal Article
%A Roy, Balaji
%A Giri, Bibhas Chandra
%T A three-echelon supply chain model with price and two-level quality dependent demand
%J RAIRO - Operations Research - Recherche Opérationnelle
%D 2020
%P 37-52
%V 54
%N 1
%I EDP-Sciences
%U http://archive.numdam.org/articles/10.1051/ro/2018066/
%R 10.1051/ro/2018066
%G en
%F RO_2020__54_1_37_0
Roy, Balaji; Giri, Bibhas Chandra. A three-echelon supply chain model with price and two-level quality dependent demand. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 1, pp. 37-52. doi : 10.1051/ro/2018066. http://archive.numdam.org/articles/10.1051/ro/2018066/

S. Baiman, P.E. Fischer and M.V. Rajan, Information, contracting, and quality costs. Manag. Sci. 46 (2000) 776–789. | DOI

R.D. Banker, I. Khosla and K.K. Sinha, Quality and competition. Manag. Sci. 44 (1998) 1179–1192. | DOI | Zbl

F. Bernstein and A. Federgruen, Coordination mechanisms for supply chains under price and service competition. M&SOM-Manuf. Serv. Op. 9 (2007) 242–262. | DOI

A.K. Bhunia and A.A. Shaikh, A deterministic inventory model for deteriorating items with selling price dependent demand and three parameter Weibull distributed deterioration. Int. J. Ind. Eng. Comput. 5 (2014) 497–510.

A.K. Bhunia, A.A. Shaikh and R.K. Gupta, A study on two warehouse partially backlogged deteriorating inventory models under inflation via particle swarm optimization. Int. J. Syst. Sci. 46 (2015) 1036–1050. | DOI | MR | Zbl

A.K. Bhunia and A.A. Shaikh, An application of PSO in a two-warehouse inventory model for deteriorating items under permissible delay in payment with different shortage policies. Appl. Math. Comput. 256 (2015) 831–850. | MR | Zbl

A.K. Bhunia, A.A. Shaikh, G. Sharma and S. Pareek, A two-storage inventory model for deteriorating items with variable demand and partial backlogging. J. Ind. Prod. Eng. 32 (2015) 263–272.

A.K. Bhunia, A.A. Shaikh and L.E. Cárdenas-Barrón, A partially integrated production inventory model with interval valued inventory cost, variable demand and flexible reliability. Appl. Soft Comput. 55 (2017) 491–502. | DOI

A.K. Bhunia, A.A. Shaikh, V. Dhaka and S. Pareek, An application of Genetic Algorithm and PSO in an inventory model for single deteriorating item with variable demand dependent on marketing strategy and displayed stock level. Sci. Iran. 25 (2018) 1641–1655.

B.B. Cao, Z.P. Fan, H. Li and T.H. You, Inventory control and pricing for regret-averse newsvendor. RAIRO: OR 51 (2017) 1033–1054. | DOI | Numdam | MR | Zbl

M.A. Darwish, O.M. Odah and S.K. Goyal, Vendor managed inventory models for single-vendor multi-retailer supply chains with quality consideration. Int. J. Ind. Syst. Eng. 18 (2015) 499–527.

D. Ding and J. Chen, Coordinating a three level supply chain with flexible return policies. Omega 36 (2008) 865–876. | DOI

L.B. Forker, Factors affecting supplier quality performance. J. Oper. Manag. 15 (1997) 243–269. | DOI

S.T. Foster Jr, Towards an understanding of supply chain quality management. J. Oper. Manag. 26 (2008) 461–467. | DOI

R.B. Franca, E.C. Jones, C.N. Richards and J.P. Carlson, Multi-objective stochastic supply chain modeling to evaluate tradeoffs between profit and quality. Int. J. Prod. Econ. 127 (2010) 292–299. | DOI

N. Gans, Customer loyalty and supplier quality competition. Manag. Sci. 48 (2002) 207–221. | DOI | Zbl

M.C. Georgiadis, P. Tsiakis, P. Longinidis and M. Sofioglou, Optimal design of supply chain networks under uncertain transient demand variations. Omega 39 (2011) 254–272. | DOI

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

Y. Huang and G.Q. Huang, Price competition and coordination in a multi-echelon supply chain. Eng. Lett. 18 (2010).

Y. He and X. Zhao, Coordination in multi-echelon supply chain under supply and demand uncertainty. Int. J. Prod. Econ. 139 (2012) 106–115. | DOI

M. Jaber and S. Goyal, Coordinating a three-level supply chain with multiple suppliers, a vendor and multiple buyers. Int. J. Prod. Econ. 116 (2008) 95–103. | DOI

M. Jaber, I. Osman and A. Guiffrida, Coordinating a three-level supply chain with price discounts, price dependent demand, and profit sharing. Int. J. Integrat. Supply Manag. 2 (2006) 28–48. | DOI

M. Jaber, M. Bonney and A. Guiffrida, Coordinating a three-level supply chain with learning-based continuous improvement. Int. J. Prod. Econ. 127 (2010) 27–38. | DOI

M. Khouja, Optimizing inventory decisions in a multi-stage multi-customer supply chain. Trans. Res. Part E: Logist. Trans. Rev. 39 (2003) 193–208. | DOI

P.I. Karipidis, Market evaluations of dimensions of design quality. Int. J. Prod. Econ. 129 (2011) 292–301. | DOI

C. Lin, W.S. Chow, C.N. Madu, C. Kuei and P. Yu, A structural equation model of supply chain quality management and organizational performance. Int. J. Prod. Econ. 96 (2005) 355–365. | DOI

J.H. Lee and I.K. Moon, Coordinated inventory models with compensation policy in a three level supply chain, edited byM. L. Gavrilova, O. Gervasi, V. Kumar, C.J. Kenneth Tan, D. Taniar, A. Laganà, H. Choo, Y. Mun. In: Computational Science and Its Applications – ICCSA. In Vol. 3982 of Lecture Notes in Computer Science. Springer, Berlin, Heidelberg. (2006) 600–609. | Zbl

Z. Liu, Q. Zhao, S. Wang and J. Shi, Modeling the impact of partial information sharing in a three-echelon supply chain. Asia Pac. J. Oper. Res. 30 (2013) 1350020. | DOI | MR | Zbl

W. Liu, D. Xie, Y. Liu and X. Liu, Service capability procurement decision in logistics service supply chain: a research under demand updating and quality guarantee. Int. J. Prod. Res. 53 (2015) 488–510. | DOI

T. Maiti and B.C. Giri, A closed loop supply chain under retail price and product quality dependent demand. J. Manufact. Sys. 37 (2015) 624–637. | DOI

S.M.J. Mirzapour Al-E-Hashem, H. Malekly and M.B. Aryanezhad, A multi-objective robust optimization model for multi-product multi-site aggregate production planning in a supply chain under uncertainty. Int. J. Prod. Econ. 134 (2011) 28–42. | DOI

U. Mishra, L.E. Cárdenas-Barrón, S. Tiwari and A.A. Shaikh, An inventory model under price and stock dependent demand for controllable deterioration rate with shortages and preservation technology investment. Ann. Oper. Res. 254 (2017) 165–190. | DOI | MR | Zbl

C. Munson and M. Rosenblatt, Coordinating a three-level supply chain with quantity discounts. IIE. Trans. 33 (2001) 371–384. | DOI

G.C. Panda, M.A. Khan and A.A. Shaikh, A credit policy approach in a two-warehouse inventory model for deteriorating items with price and stock dependent demand under partial backlogging. J. Ind. Eng. Int. 15 (2019) 147–170. | DOI

S.H.R. Pasandideh, S.T.A. Niaki and K. Asadi, Optimizing a bi-objective multi-product multi-period three echelon supply chain network with warehouse reliability. Expert Syst. Appl. 42 (2015) 2615–2623. | DOI

N.C. Petruzzi and M. Dada, Pricing and the newsvendor problem: a review with extensions. Manag. Sci. 47 (1999) 183–194. | Zbl

Z.J. Ren and Y. Zhou, Call center outsourcing: coordinating staffing level and service quality. Manag. Sci. 54 (2008) 369–383. | DOI | Zbl

D.J. Reyniers and C.S. Tapiero, The delivery and control of quality in supplier producer contracts. Manag. Sci. 41 (1995) 1581–1589. | DOI | Zbl

C.J. Robinson and M.K. Malhotra, Defining the concept of supply chain quality management and its relevance to academic and industrial practice. Int. J. Prod. Econ. 96 (2005) 315–337. | DOI

A. Rong, R. Akkerman and M. Grunow, An optimization approach for managing fresh food quality throughout the supply chain. Int. J. Prod. Econ. 131 (2011) 421–429. | DOI

S. Saha, Channel characteristics and coordination in three-echelon dual-channel supply chain. Int. J. Sys. Sci. 47 (2016) 740–754. | DOI | MR | Zbl

R.W. Seifert, R.I. Zequeira and S. Liao, A three-echelon supply chain with price only contracts and sub-supply chain coordination. Int. J. Prod. Econ. 138 (2012) 345–353. | DOI

A.A. Taleizadeh, S. Hadadpour, L.E. Cárdenas-Barrón and A.A. Shaikh, Warranty and price optimization in a competitive duopoly supply chain with parallel importation. Int. J. Prod. Econ. 185 (2017) 76–88. | DOI

S. Tiwari, L.E. Cárdenas-Barrón, M. Goh and A.A. Shaikh, Joint pricing and inventory model for deteriorating items with expiration dates and partial backlogging under two-level partial trade credits in supply chain. Int. J. Prod. Econ. 200 (2018) 16–36. | DOI

S. Tiwari, C.K. Jaggi, M. Gupta and L.E. Cárdenas-Barrón, Optimal pricing and lot-sizing policy for supply chain system with deteriorating items under limited storage capacity. Int. J. Prod. Econ. 200 (2018) 278–290. | DOI

S. Tiwari, Y. Daryanto and H.M. Wee, Sustainable inventory management with deteriorating and imperfect quality items considering carbon emission. J. Clean. Prod. 2018 (1925) 281–292.

Y.K. Tse and K.H. Tan, Managing product quality risk and visibility in multi-layer supply chain. Int. J. Prod. Econ. 139 (2012) 49–57. | DOI

X. Wang and D. Li, A dynamic product quality evaluation based pricing model for perishable food supply chains. Omega 40 (2012) 906–917. | DOI

G. Xie, W. Yue, S. Wang and K.K. Lai, Quality investment and price decision in a risk-averse supply chain. Eur. J. Oper. Res. 214 (2011) 403–410. | DOI | MR | Zbl

J. Yu and S. Ma, Impact of decision sequence of pricing and quality investment in decentralized assembly system. J. Manuf. Sys. 32 (2013) 664–679. | DOI

Cité par Sources :