Abstract
Growing global concerns of environmental problems have led to the emergence of policies and regulations to control carbon emissions in the industrial sector. These regulations must be taken into consideration to obtain optimal operational decisions on production, inventory and routing in supply chain network models. In this study, we consider the reverse logistics supply chain model with a remanufacturing option to reduce carbon emissions. We aim at providing optimal production, inventory and delivery quantities along with delivery and pickup routes under a carbon cap-and-trade emissions policy. We provide a mathematical formulation of the problem that considers heterogeneous transportation fleets and allows for lost sales under the cap-and-trade carbon emissions policy. The proposed mathematical model is provided in a deterministic and a two-stage stochastic versions to account for demand uncertainty. Proposed formulations are demonstrated through a simulated reverse logistics supply chain with added sensitivity analysis to test for the effect of modeling parameters on the optimal problem solution. Simulation results indicate that carbon policies have significant effect on the supply chain performance with carbon price as the most significant parameter.
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Adulyasak, Y., Cordeau, J.-F., & Jans, R. (2013). Formulations and branch-and-cut algorithms for multivehicle production and inventory routing problems. INFORMS Journal on Computing, 26(1), 103–120.
Al Shamsi, A., Al Raisi, A., & Aftab, M. (2014). Pollution-inventory routing problem with perishable goods. In: Logistics operations, supply chain management and sustainability (pp. 585–596). Springer.
Alkawaleet, N., Hsieh, Y.-F., & Wang, Y. (2014). Inventory routing problem with co\(_{2}\) emissions consideration. In: Logistics operations, supply chain management and sustainability (pp. 611–619). Springer.
Atasu, A., Sarvary, M., & Van Wassenhove, L. N. (2008). Remanufacturing as a marketing strategy. Management Science, 54(10), 1731–1746.
Bard, J. F., & Nananukul, N. (2010). A branch-and-price algorithm for an integrated production and inventory routing problem. Computers & Operations Research, 37(12), 2202–2217.
Battarra, M., Cordeau, J.-F., & Iori, M. (2014). Chapter 6: Pickup-and-delivery problems for goods transportation. In: Vehicle routing: Problems, methods, and applications(2nd ed., pp. 161–191). SIAM.
Bektaş, T., & Laporte, G. (2011). The pollution-routing problem. Transportation Research Part B: Methodological, 45(8), 1232–1250.
Chandra, P. (1993). A dynamic distribution model with warehouse and customer replenishment requirements. Journal of the Operational Research Society, 44(7), 681–692.
DeCroix, G. A. (2006). Optimal policy for a multiechelon inventory system with remanufacturing. Operations Research, 54(3), 532–543.
Diabat, A., Abdallah, T., & Le, T. (2016). A hybrid tabu search based heuristic for the periodic distribution inventory problem with perishable goods. Annals of Operations Research, 242(2), 373–398.
Drake, D. F., Kleindorfer, P. R., & Van Wassenhove, L. N. (2016). Technology choice and capacity portfolios under emissions regulation. Production and Operations Management, 25(6), 1006–1025.
Ellerman, A. D., & Buchner, B. K. (2008). Over-allocation or abatement? A preliminary analysis of the eu ets based on the 2005–06 emissions data. Environmental and Resource Economics, 41(2), 267–287.
Environmental Protection Agency (EPA). (2014). Light-duty automotive technology, carbon dioxide emissions, and fuel economy trends: 1975–2014. Washington, DC. Accessed July 23, 2018, from www.epa.gov/otaq/fetrends.htm.
Environmental Protection Agency (EPA). (2017). Global greenhouse gas emissions data. Accessed July 23, 2018, from https://www.epa.gov/ghgemissions/global-greenhouse-gas-emissions-data.
Franceschetti, A., Honhon, D., Van Woensel, T., Bektaş, T., & Laporte, G. (2013). The time-dependent pollution-routing problem. Transportation Research Part B: Methodological, 56, 265–293.
Fukasawa, R., Longo, H., Lysgaard, J., de Aragão, M. P., Reis, M., Uchoa, E., et al. (2006). Robust branch-and-cut-and-price for the capacitated vehicle routing problem. Mathematical Programming, 106(3), 491–511.
GAMS Development Corporation. (2013). General algebraic modeling system (GAMS) release 24.2.1. Washington, DC, USA. http://www.gams.com/.
Gas Prices. (2018). National average gas prices. Accessed July 18, 2018, from https://gasprices.aaa.com.
Geyer, R., Van Wassenhove, L. N., & Atasu, A. (2007). The economics of remanufacturing under limited component durability and finite product life cycles. Management Science, 53(1), 88–100.
Hammami, R., Nouira, I., & Frein, Y. (2015). Carbon emissions in a multi-echelon production-inventory model with lead time constraints. International Journal of Production Economics, 164, 292–307.
Iassinovskaia, G., Limbourg, S., & Riane, F. (2017). The inventory-routing problem of returnable transport items with time windows and simultaneous pickup and delivery in closed-loop supply chains. International Journal of Production Economics, 183, 570–582.
International Energy Agency (IEA). (2017). CO2 emissions from fuel combustion 2017. Accessed July 23, 2018, from https://www.iea.org/publications/freepublications/publication/CO2EmissionsfromFuelCombustionHighlights2017.pdf.
Jaber, M. Y., Glock, C. H., & El Saadany, A. M. (2013). Supply chain coordination with emissions reduction incentives. International Journal of Production Research, 51(1), 69–82.
Le, T., Diabat, A., Richard, J.-P., & Yih, Y. (2013). A column generation-based heuristic algorithm for an inventory routing problem with perishable goods. Optimization Letters, 7(7), 1481–1502.
Mathers, J., Wolfe, C., Norsworthy, M., & Craft, E. (2014). The green freight handbook. Environmental Defense Fund.
Palak, G., Ekşioğlu, S. D., & Geunes, J. (2014). Analyzing the impacts of carbon regulatory mechanisms on supplier and mode selection decisions: An application to a biofuel supply chain. International Journal of Production Economics, 154, 198–216.
Qiu, Y., Ni, M., Wang, L., Li, Q., Fang, X., & Pardalos, P. M. (2018). Production routing problems with reverse logistics and remanufacturing. Transportation Research Part E: Logistics and Transportation Review, 111, 87–100.
Qiu, Y., Qiao, J., & Pardalos, P. M. (2017). A branch-and-price algorithm for production routing problems with carbon cap-and-trade. Omega, 68, 49–61.
Qu, Y., & Bard, J. F. (2014). A branch-and-price-and-cut algorithm for heterogeneous pickup and delivery problems with configurable vehicle capacity. Transportation Science, 49(2), 254–270.
Savaskan, R. C., Bhattacharya, S., & Van Wassenhove, L. N. (2004). Closed-loop supply chain models with product remanufacturing. Management Science, 50(2), 239–252.
Song, S., Govindan, K., Xu, L., Du, P., & Qiao, X. (2017). Capacity and production planning with carbon emission constraints. Transportation Research Part E: Logistics and Transportation Review, 97, 132–150.
Soysal, M. (2016). Closed-loop inventory routing problem for returnable transport items. Transportation Research Part D: Transport and Environment, 48, 31–45.
Subramanian, A., Uchoa, E., Pessoa, A. A., & Ochi, L. S. (2013). Branch-cut-and-price for the vehicle routing problem with simultaneous pickup and delivery. Optimization Letters, 7(7), 1569–1581.
Taillard, É. D. (1999). A heuristic column generation method for the heterogeneous fleet vrp. RAIRO-Operations Research, 33(1), 1–14.
US Department of Energy. (2018). Average fuel economy of major vehicle categories. Accessed July 18, 2018, from https://www.afdc.energy.gov/data/10310.
Van Anholt, R. G., Coelho, L. C., Laporte, G., & Vis, I. F. (2016). An inventory-routing problem with pickups and deliveries arising in the replenishment of automated teller machines. Transportation Science, 50(3), 1077–1091.
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Zhang, Y., Alshraideh, H. & Diabat, A. A stochastic reverse logistics production routing model with environmental considerations. Ann Oper Res 271, 1023–1044 (2018). https://doi.org/10.1007/s10479-018-3045-2
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DOI: https://doi.org/10.1007/s10479-018-3045-2