Influence of controllable lead time, premium price, and unequal shipments under environmental effects in a supply chain management
RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 4, pp. 1427-1451.

Recently, carbon emission becomes a major issue during transportation of products from one player to another player. Due to the increasing number of single-setup-multi-delivery (SSMD) policies by several industries, fixed and variable transportation cost and carbon emission cost are considered. The aim of the model is to reduce the total cost of supply chain for controlling the lead time and to diminish setup cost by a discrete investment. A premium cost is introduced and Stackelberg game policy is employed to obtain the analytical solution. Some numerical examples are given to validate the model. Sensitivity analysis and managerial insights are given to show the applicability of the model. Finally, the outcomes show that the model minimizes the optimum cost at the optimal values of the decision variables. It is found that the total cost is minimized when the multi-buyer is leader and vendor is follower.

DOI : 10.1051/ro/2018041
Classification : 90B05, 90B06
Mots-clés : Supply chain management, unequal shipment size, discrete setup cost reduction, transportation cost, carbon emission cost, Stackelberg game
Ganguly, Baishakhi 1 ; Sarkar, Biswajit 1 ; Sarkar, Mitali 1 ; Pareek, Sarla 1 ; Omair, Muhammad 1

1 
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     title = {Influence of controllable lead time, premium price, and unequal shipments under environmental effects in a supply chain management},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
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Ganguly, Baishakhi; Sarkar, Biswajit; Sarkar, Mitali; Pareek, Sarla; Omair, Muhammad. Influence of controllable lead time, premium price, and unequal shipments under environmental effects in a supply chain management. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 4, pp. 1427-1451. doi : 10.1051/ro/2018041. http://archive.numdam.org/articles/10.1051/ro/2018041/

K. Annadurai and R. Uthayakumar, Controlling setup cost in (Q, r, L) inventory model with defective items. App. Math. Model. 34 (2010) 1418–1427. | DOI | MR | Zbl

E. Bazan, M.Y. Jaber and S. Zanoni, Carbon emissions and energy effects on a two-level manufacturer-retailer closed-loop supply chain model with remanufacturing subject to different coordination mechanisms. Int. Prod. Econ. 183 (2017) 394–408. | DOI

L.E. Cárdenas-Barrón, Optimizing inventory decisions in a multi-stage multi-customer supply chain: a note. Transp. Res. Part. E 43 (2007) 647–654. | DOI

Y. Chien and K. Naknoi, The risk premium and long-run global imbalances. J. M. Econ. 76 (2015) 299–315. | DOI

A. Dolgui, S. Kovalev, Y.M. Kovalyov, J. Nossack and E. Pesch, Minimizing setup costs in a transfer line design problem with sequential operation processing. Int. J. Prod. Econ. 151 (2014) 186–194. | DOI

M. Hariga, M. Gumus and A. Daghfous, Storage constrained vendor managed inventory models with unequal shipment frequencies. Omega 48 (2013) 94–106. | DOI

W.A. Jauhari, A.S. Pamuji and C.N. Rosyidi, Cooperative inventory model for vendor-buyer system with unequal-sized shipment, defective items and carbon emission cost. Int. J. Logis. Syst. Manag. 19 (2014) 1742–7975.

M.Y. Jaber, C.H. Glock and A.M.A. El Saadany, Supply chain coordination with emissions reduction incentives. Int. J. Prod. Res. 51 (2013) 1589.

M.N. Koupaei, M. Mohammadi and B. Naderi, A multi-obbjective evolutionary algorithm for scheduling flexible manufacturing systems. Ind. Eng. Manag. Syst. 16 (2017) 253–264.

S. Kim and Y.-J. Son, Lane selection behavior modeling in an agent-based traffic simulation. Ind. Eng. Manag. Syst. 16 (2017) 240–252.

M.C. Li, US term structure and international stock market volatility: the role of the expectations factor and the maturity premium. J. Int. Fin. Markets Inst. M. 41 (2015) 1–15.

S. Li, P. Jin and B. Zhang, The uncertain premium principle based on the distortion function. Insur. Math. Econ. 53 (2013) 317–324. | DOI | MR | Zbl

L.Y. Ouyang, C.K. Chen and H.C. Chang, Quality improvement, setup cost and lead-time reductions in lot size reorder point models with an imperfect production process. Comput. Oper. Res. 29 (2002) 1701–1717. | DOI | Zbl

E.L. Porteus, Optimal lot sizing, process quality improvement and setup cost reduction. Comput. Oper. Res. 34 (1986) 137–144. | DOI | Zbl

A. Petajisto, The index premium and its hidden cost for index funds. J. Emp. Fin. 18 (2010) 271–288. | DOI

J.Y. Park, Is there a price premium for energy efficiency labels? Evidence from the introduction of a label in Korea. Eng. Econ. 62 (2017) 240–247.

S. Quaia, C. Gandolfi and R. Chiumeo, Technical-economic sustainability of premium power parks. Electr. Power Syst. Res. 125 (2015) 196–202. | DOI

M.D. Roy, S.S. Sana and K.S. Chaudhuri, An optimal shipment strategy for imperfect items in a stock-out situation. Math. Comput. Model 54 (2011) 2528–2543. | DOI | MR | Zbl

B. Sarkar, B. Shaw, M. Sarkar, T. Kim and D. Shin, Two echelon supply chain model with variable transportation cost, two-stage inspections, and defective units. J. Ind. Manag. Optim. 13 (2017) 1975–1990. | Zbl

B. Sarkar, B. Mondal and S. Sarkar, Quality improvement and backorder price discount under controllable lead time in an inventory model. J. Manuf. Syst. 35 (2015) 26–36. | DOI

B. Sarkar, Supply chain coordination with variable backorder, inspections, and discount policy for fixed lifetime products. Math. Prob. Eng. 2016 (2016) 14. | DOI | MR | Zbl

B. Sarkar, A production-inventory model with probabilistic deterioration in two-echelon supply chain management. App. Math. Model 37 (2013) 3138–3151. | 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. Proms. Eng. 2015 (2015) 13. | MR | Zbl

B. Sarkar and I. Moon, Improved quality, setup cost reduction, and variable backorder costs in an imperfect production process. Int. J. Prod. Econ. 155 (2014) 204–213. | DOI

B. Sarkar and A.S. Mahapatra, Periodic review fuzzy inventory model with variable lead time and fuzzy demand. To appear. Int. Trans. Oper. Res. (2015) DOI:. | DOI | MR | Zbl

B. Sarkar, B. Ganguly, M. Sarkar and S. Pareek, Effect of variable transportation and carbon emission in a three-echelon supply chain model. Transp. Res. Part. E 91 (2016) 112–128. | DOI

B. Sarkar and A. Majumder, Integrated vendor-buyer supply chain model with vendor’s setup cost reduction. App. Math. Comput. 224 (2013) 362–371. | DOI | MR | Zbl

B. Sarkar, K. Chaudhuri and I. Moon, Quality improvement and setup cost reduction for the distribution free continuous-review inventory model with a service level constraint. J. Manuf. Syst. 34 (2016) 74–82.

B. Sarkar, A. Majumder, M. Sarkar, B.K. Dey and G. Roy, Two-echelon supply chain model with manufacturing quality improvement and setup cost reduction. J. Ind. Manag. Optim. 13 (2017) 1085–1104. | DOI | MR | Zbl

K.M. Shahrestani, P. Fattahi and M. Hamedi, A heuristic method for solving bi-objective two-stage hybrid flow shop scheduling problem. Ind. Eng. Manag. Syst. 16 (2017) 265–270.

B. Sarkar and S. Saren, Product inspection policy for an imperfect production system with inspection errors and warranty cost. Eur. J. Oper. Res. 248 (2016) 263–271. | DOI | Zbl

C. Shao, R. Bhar and D.B. Colwell, A multi-factor model with time-varying and seasonal risk premiums for the natural gas market. Energy Econ. 50 (2015) 207–214. | DOI

D. Shin, R. Guchhait, B. Sarkar and M. Mittal, Controllable lead time, service level constraint, and transportation discounts in a continuous review inventory model. RAIRO: OR 50 (2016) 921–934. | DOI | Numdam | MR | Zbl

H. Siajadi, R.N. Ibrahim and P.B. Lochert, Joint economic lot size in distribution system with multiple shipment policy. Int. J. Prod. Econ. 102 (2006) 302–316. | DOI

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

A.A. Taleizadeh, L.E. Cárdenas-Barrón and B. Mohammadi, Deterministic multi product single machinoinofvbme EOQ model with backordering, scrapped products, rework and interruption in manufacturing process. Int. J. Prod. Econ. 150 (2014) 9–27. | DOI

J.T. Teng, L.E. Cárdenas-Barrón and K.R. Lou, The economic lot size of the integrated vendor-buyer inventory system derived without derivatives: a simple derivation. App. Math. Comput. 217 (2011) 5972–5977. | DOI | MR | Zbl

S. Tiwari, Y. Daryanto and H.M. Wee, Big data analytics in supply chain management between 2010 and 2016: insights to industries. Comput. Ind. Eng. 115 (2018) 319–330. | DOI

S. Tiwari, Y. Daryanto and H.M. Wee, Sustainable inventory management with deteriorating and imperfect quality items considering carbon emission. J. Cleaner Prod. 192 (2018) 281–292. | DOI

M. Vroblefski, R. Ramesh and S. Zionts, Efficient lot-sizing under a differential transportation cost structure for serially distributed warehouses. Eur. J. Oper. Res. 127 (2000) 574–593. | DOI | Zbl

I.D. Wangsa, Greenhouse gas penalty and incentive policies for a joint economic lot size model with industrial and transport emissions. Int. J. Ind. Eng. Comput. 8 (2017) 453–480.

H.M. Wee and C.J. Chung, A note on the economic lotsize of the integrated vendor-buyer inventory system derived without derivatives. Eur. J. Oper. Res. 177 (2007) 1289–1293. | DOI | Zbl

L. Wang and X. Huo, Willingness-to-pay price premiums for certified fruits -A case of fresh apples in China. F. Cont. 64 (2016) 240–246. | DOI

M.I.M. Wahab, S.M.H. Mamun and P. Ongkunaruk, EOQ models for a coordinated two-level international supply chain considering imperfect items and environmental impact. Int. J. Prod. Econ. 134 (2011) 151–158. | DOI

P.-C. Yang and H.-M. Wee, An integrated multi-lot-size production inventory model for deteriorating item. Comput. Oper. Res. 30 (2003) 671–682. | DOI | Zbl

W. Zhou, Z. Zheng and W. Xie, A control-chart-based queueing approach for service facility maintenance with energy-delay tradeoff. Eur. J. Oper. Res. 261 (2017) 613–625. | DOI | MR | Zbl

Y.W. Zhou and S.D. Wang, Optimal production and shipment models for a single-vendor-single-buyer integrated system. Eur. J. Oper. Res. 180 (2007) 309–328. | DOI | Zbl

Q.H. Zhao, S.Y. Wang, K.K. Lai and G.P. Xia, Model and algorithm of an inventory problem with the consideration of transportation cost. Comput. Int. Eng. 46 (2004) 389–397.

Z. Zanoni, L. Mazzoldi, L.E. Zanvanella and M.Y. Jaber, A joint economic lot size model with price and environmentally sensitive demand. Prod. Manuf. Res. 2 (2014) 341–354.

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