Total views : 945

A Reverse Logistics Model for Optimization in Waste Collection


  • Associate Professor, Department of Statistics, Christ University, Bangalore - 560 029, India


Sustainability has become a major concern in the development of human society. This requires solution of certain issues and involves social, technical, legislative, and other factors. An important concern is to minimize the generation of wastes, prevent environmental deterioration caused by the generation of wastes, and to enhance the value of recovery from the wastes. The reverse logistics network is helpful in this regard as its mission is to collect and transport used products and packages based on the balance of cost and environment. A good reverse logistics network is important for firms to gain more profits. This paper proposed a linear programming model for reverse logistics in which collection is done when the recyclables bin is half full. This limit can be varied from place to place, depending on the collection of recyclables. The model aimed to reduce transportation cost by setting up a schedule for collection and took into account the profit obtained by recycling. It also considered a penalty for late collection so that there is no piling up of waste, thus reducing the probability of items deteriorating due to weather or moisture content.


Linear Programming, Mathematical Modelling, Reverse Logistics, Recycling of Waste

C610, I100, R41

Paper Submission Date: January 30, 2015; Paper Sent Back for Revision: March 4, 2015; Paper Acceptance Date: March 20, 2015.


  • Ahluvalia, P.K., & Nema, A. K. (2006) . Multi-objective reverse logistics model for integrated computer waste management. Waste Management Research, 24 (6), 514-527.
  • Barros, A.I., Dekker, R., & Scholten, V. (1998). A two-level network for recycling sand: A case study. European Journal of Operational Research, 199 - 214. doi:10.1016/S0377-2217(98)00093-9
  • Benaissa, M., & Benabdelhafid, A. (2010). A multi product and multi period facility location model for reverse logistics. Polish Journal of Management Studies, 2, 7-19.
  • Buhrkal, K., Larsen, A., & Ropke, S. (2012). The waste collection vehicle routing problem with time windows in a city logistics context. Procedia - Social and Behavioural Sciences, 39, 241 - 254.
  • Caruso, C., Colorni, A., & Paruccini, M. (1993). The regional urban solid waste management system: A modelling approach. European Journal of Operational Research, 70 (1), 16-30.
  • Chang, N. - B., & Wei, Y.L. (2000). Siting recycling drop-off stations in urban area by genetic algorithm-based fuzzy multi objective nonlinear integer programming modelling. Fuzzy Sets and Systems, 114 (1), 133-149.
  • Jayaraman, V., Patterson, R. A., & Rolland, E. (2001). The design of reverse distribution networks: Models and solution procedures. European Journal of Operational Research, 150, 128 - 149. DOI:10.1016/S0377-2217(02)00497-6
  • Kannan, G., Pokharel, S., & Kumar, P. S. (2009). A hybrid approach using ISM and fuzzy TOPSIS for the selection of reverse logistics provider. Resources, Conservation and Recycling, 54 (1), 28-36.
  • Kleineidam, U., Lambert, A. J.D., Blansjaar, J., Kok, J. J., & van Heijningen, R.J.J (2000). Optimizing product recycling chains by control theory. International Journal of Production Economics, 66 (2), 185-195.
  • Kroon, L., & Vrijens, G. (1995). Returnable containers: An example of reverse logistics. International Journal of Physical Distribution and Logistics Management, 25 (2), 56-68. DOI :
  • Lee, A.H.I. , Kang, H. - Y., Hsu, C. -F., & Hung, H. - C. (2009). A green supplier selection model for the high tech industry. Expert Systems with Applications, 36 (4), 7917-7927.
  • Lu, Z., & Bostel, N. (2007) . A facility location model for logistics systems using reverse flows: The case of remanufacturing articles. Computers and Operations Research, 34, 299-323. DOI:10.1016/j.cor.2005.03.002
  • Luttwak, E. (1971). A dictionary of modern war. New York: Harper & Row.
  • Marin, A., & Pelegrin, B. (1998). The return plant location problem: Modelling and resolution. European Journal of Operational Research , 104 (2), 375-392.
  • Mounir, B., Afifa, K., & Habib, C. (2011) . Facility location model for reverse logistics. Advances in Production Engineering and Management, 6 (1), 37-44.
  • Realff, M. J., Ammons, J. C., & Newton, D. J. (2004). Robust reverse production system design for carpet recycling. IIE Transactions, 36 (8), 767-776. DOI:10.1080/07408170490458580
  • Rogers, D.S., & Tibben-Lembke, R.S. (1999) . Going backwards: Reverse logistics trends and practices. Pittsburgh, PA : Reverse Logistics Executive Council.
  • Sheu, J. - B. (2008). An emergency logistics distribution approach for quick response to urgent relief demand in disasters. Transportation Research Part E : Logistics and Transportation Review, 43 (6), 687 - 709.
  • Yu, H. - J., Li X.- Y., & Su, S. (2007). Material recovery facility location and waste flow assignment problem based in scatter search (pp. 2368 - 2372). Proceedings of the Sixth International Conference on Machine Learning and Cybernetics (Vol. 4). August 19-22, 2007, Hong Kong, IEEE. DOI: 10.1109/ICMLC.2007.4370541


  • There are currently no refbacks.