A mathematical model on eco-friendly manufacturing system under probabilistic demand
RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 5, pp. 1899-1913.

The article deals with a mathematical model of production inventory system of green products in a green manufacturing industry. The main objective of this proposed model is to formulate a profit function for service level and random variable dependent demand implementing green technology in the manufacturing industry for reduction of green house gas emission. The production lotsize is considered here as an increasing function of green technology and capital invested for setup the manufacturing system which meets the market demand. As a result, green technology, capital invested for setup and service level are decision variable which are optimized to achieve maximum profit. Finally, numerical example for normal distribution and distribution free cases are illustrated to justify the proposed model.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2018120
Classification : 90B05
Mots-clés : Green technology, service level, greenhouse gas, production lotsize, inventory
Bhattacharyya, Moumita 1 ; Sana, Shib Sankar 1

1
@article{RO_2019__53_5_1899_0,
     author = {Bhattacharyya, Moumita and Sana, Shib Sankar},
     title = {A mathematical model on eco-friendly manufacturing system under probabilistic demand},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {1899--1913},
     publisher = {EDP-Sciences},
     volume = {53},
     number = {5},
     year = {2019},
     doi = {10.1051/ro/2018120},
     mrnumber = {4023845},
     zbl = {1430.90009},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ro/2018120/}
}
TY  - JOUR
AU  - Bhattacharyya, Moumita
AU  - Sana, Shib Sankar
TI  - A mathematical model on eco-friendly manufacturing system under probabilistic demand
JO  - RAIRO - Operations Research - Recherche Opérationnelle
PY  - 2019
SP  - 1899
EP  - 1913
VL  - 53
IS  - 5
PB  - EDP-Sciences
UR  - http://www.numdam.org/articles/10.1051/ro/2018120/
DO  - 10.1051/ro/2018120
LA  - en
ID  - RO_2019__53_5_1899_0
ER  - 
%0 Journal Article
%A Bhattacharyya, Moumita
%A Sana, Shib Sankar
%T A mathematical model on eco-friendly manufacturing system under probabilistic demand
%J RAIRO - Operations Research - Recherche Opérationnelle
%D 2019
%P 1899-1913
%V 53
%N 5
%I EDP-Sciences
%U http://www.numdam.org/articles/10.1051/ro/2018120/
%R 10.1051/ro/2018120
%G en
%F RO_2019__53_5_1899_0
Bhattacharyya, Moumita; Sana, Shib Sankar. A mathematical model on eco-friendly manufacturing system under probabilistic demand. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 5, pp. 1899-1913. doi : 10.1051/ro/2018120. http://www.numdam.org/articles/10.1051/ro/2018120/

K.H. Alfares and H.H. Elmora, The distribution-free newsboy problem: extensions to the shortage penalty case. Int. J. Prod. Econ. 91–94 (2005) 465–477. | DOI

A. Bhattacharya, R. Jain and A. Choudhary, Green manufacturing energy, products and processes. The Boston Consulting Group Confederation of Indian Industry. Available at: bcg.com (2011).

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

L.E. Cardenas-Barron, On optimal batch sizing in a multi-stage production system with rework consideration. Eur. J. Oper. Res. 196 (2009) 1238–1244. | DOI | MR | Zbl

G. Chen, K. Govindan and M.M. Golias, Reducing truck emissions at container terminals in a low carbon economy: proposal of a queueing-based bi-objective model for optimizing truck arrival pattern. Transp. Res. Part E Logist. Transp. Rev. 55 (2013) 3–22. | DOI

C.H. Chung and H.M. Wee, Ecological product design value and remanufacturing for green short life-cycle product with warranty-dependent demand in supply chain. IEEE International Conference on MASS’09. IEEE Publ. Manage. Serv. Sci. (2009).

C.J. Chung and H.M. Wee, Short life-cycle deteriorating product remanufacturing in a green supply chain inventory control system. Int. J. Prod. Econ. 129 (2011) 195–203. | DOI

R.L. Chung, H. Wee, Y.D. Huang and Y.L. Cheng. Supply chain inventory system considering production postponement and rework. Int. J. Ind. Eng. Theory App. Pract. 24 (2018).

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

M. Fattahi and K. Govindan, Integrated forward/reverse logistics network design under uncertainty with pricing for collection of used products. Ann. Oper. Res. 253 (2017) 193–225. | DOI | MR | Zbl

K. Govindan, S. Rajendran, J. Sarkis and P. Murugesan, Multi criteria decision making approaches for green supplier evaluation and selection: a literature review. J. Cleaner Prod. 98 (2015) 66–83. | DOI

H. Gurnani and Y. Xu, Resale price maintenance contracts with retailer sales effort: effects of flexibility and competition. Nav. Res. Logist. 53 (2006) 448–463. | DOI | MR | Zbl

Y. He, X. Zhao, L. Zhao and J. He, Coordinating a supply chain with effort and price dependent stochastic demand. Appl. Math. Model. 33 (2009) 2777–2790. | DOI | MR | Zbl

H. Krishnan, R. Kapuscinski and D.A. Butz, Coordinating contracts for decentralized channels with retailer promotional effort. Manage. Sci. 50 (2004) 48–63. | DOI

H.S. Lau, C. Su, Y. Wang and Z. Hua, Volume discounting coordinates a supply chain effectively when demand is sensitive to both price and sales effort. Comput. Oper. Res. 39 (2012) 3267–3280. | DOI | MR | Zbl

J.C. Lu, Y.C. Tsao and C. Charoensiriwath, Competition under manufacturer service and retail price. Econ. Model. 28 (2011) 1256–1264. | DOI

N.M. Modak, Research on the reduction of greenhouse gas emission in supply chain management. J. Pollut. Publ. Health 1 (2018) 1–13. | DOI

N.M. Modak, D.K. Ghosh, S. Panda and S.S. Sana, Managing green house gas emission cost and pricing policies in a two-echelon supply chain. CIRP J. Manuf. Sci. Technol. 20 (2018) 1–11. | DOI

A.H. Nobil, A.H.A. Sedigh and L.E. Cardenas-Barron, A multi-machine multi-product EPQ problem for an imperfect manufacturing system considering utilization and allocation decisions. Exp. Syst. App. 56 (2016) 310–319. | DOI

S. Panda, Coordination of a socially responsible supply chain using revenue sharing contract. Transp. Res. Part E: Logist. Transp. Rev. 67 (2014) 92–104. | DOI

S. Panda, N.M. Modak and M. Basu, Disposal cost sharing and bargaining for coordination and profit division in a three-echelon supply chain. Int. J. Manage. Sci. Eng. Manage. 9 (2015) 276–285.

A. Roy, S.S. Sana and K.S. Chaudhuri, Optimal pricing of competing retailers under uncertain demand-a two layer supply chain model. Ann. Oper. Res. 260 (2018) 481–500. | DOI | MR | Zbl

S. Saha, Supply chain coordination through rebate induced contracts. Transp. Res. Part E Logist. Transp. Rev. 50 (2013) 120–137. | DOI

S. Saha, S. Panda, N.M. Modak and M. Basu, Mail-in-rebate coupled with revenue sharing and downward direct discount for supply chain coordination. Int. J. Oper. Res. 23 (2015) 451–476. | DOI | MR | Zbl

B. Sarkar, S. Saren, D. Sinha and S. Hur, Effect of unequal lot sizes, variable setup cost, and carbon emission cost in a supply chain model. Math. Prob. Eng. 2015 (2015) 469486. | DOI | MR | Zbl

B. Sarkar and K.S. Chaudhuri, Manufacturing setup cost reduction and quality improvement for the distribution free continuous-review inventory model with a service level constraint. J. Manuf. Syst. 34 (2015) 74–82. | DOI

B. Sarkar, L.E. Cardenas-Barron, M. Sarkar and M.L. Singgih, An economic production quantity model with random defective rate, rework process and backorders for a single stage production system. J. Manuf. Syst. 33 (2014) 423–435. | DOI

N. Saxena, S.R. Singh and S.S. Sana, A green supply change model of vendor and buyer for remanufacturing. RAIRO: OR 51 (2017) 1133–1150. | DOI | Numdam | MR | Zbl

D.L. Summerbell, D. Khripko, C. Barlow and J. Hesselbach, Cost and carbon reductions from industrial demand-side management: Study of potential savings at a cement plant. Appl. Eng. 197 (2017) 100–113. | DOI

S. Swami and J. Shah, Channel coordination in green supply chain management. J. Oper. Res. Soc. 64 (2012) 336–351. | DOI

A.A. Taleizadeh, M. Noori-Daryan and L.E. Cardenas-Barron, Joint optimization of price, replenishment frequency, replenishment cycle and production rate in vendor managed inventory system with deteriorating items. Int. J. Prod. Econ. 159 (2015) 285–295. | DOI

C.X. Wang, The loss-averse newsvendor game. Int. J. Prod. Econ. 124 (2010) 448–452. | DOI

Y.Y. Wang, H.S. Lau and J.C. Wang, Defending and improving the “slotting fee”: How it can benefit all the stakeholders dealing with a newsvendor product with price and effort-dependent demand. J. Oper. Res. Soc. 63 (2012) 1731–1751. | DOI

H.M. Wee, W.H. Yang, C.W. Chou and M.V. Padilan, Renewable energy supply chains, performance, application barriers, and strategies for further development. Renewable Sustainable Energy Rev. 16 (2012) 5451–5465. | DOI

T. Xiao, J. Jin, G. Chen, J. Shi and M. Xie, Ordering, wholesale pricing and lead-time decisions in a three-stage supply chain under demand uncertainty. Comput. Ind. Eng. 59 (2010) 840–852. | DOI

J. Xie and J.C. Wei, Coordinating advertising and pricing in a manufacturer-retailer channel. Eur. J. Oper. Res. 197 (2009) 785–791. | DOI | MR | Zbl

Cité par Sources :