Presenting a Multi Objective Model for Supplier Selection in Order to Reduce Green House Gas Emission under Uncertion Demand

Document Type : Research Paper


1 Department of Industrial Engineering, Science & Research Branch, Islamic Azad University, Qazvin, Iran

2 Department of Industrial Engineering, Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran


Recently, much attention has been given to Stochastic demand due to uncertainty in the real -world. In the literature, decision-making models and suppliers' selection do not often consider inventory management as part of shopping problems. On the other hand, the environmental sustainability of a supply chain depends on the shopping strategy of the supply chain members. The supplier selection plays an important role in the green chain. In this paper, a multi-objective nonlinear integer programming model for selecting a set of supplier considering Stochastic demand is proposed. while the cost of purchasing include the total cost, holding and stock out costs, rejected units, units have been delivered sooner, and total green house gas emissions are minimized, while the obtained total score from the supplier assessment process is maximized. It is assumed, the purchaser provides the different products from the number predetermined supplier to a with Stochastic demand and the uniform probability distribution function. The product price depends on the order quantity for each product line is intended. Multi-objective models using known methods, such as Lp-metric has become an objective function and then uses genetic algorithms and simulated annealing meta-heuristic is solved.


Amid A., Ghodsypour S.H. and O’Brien C. (2006). Fuzzy multi objective linear model for supplier selection in a supply chain, Int. J. Prod. Econ, Vol. 104(2), pp. 394-407.
Arikan F.(2013). A fuzzy solution approach for multi objective supplier selection. Expert Systems with Applications, Vol.40, pp. 947–952.
Dou Y., Zhu Q. and Sarkis J. (2013). Evaluating green supplier development programs with a grey-analytical network process-based methodology, European Journal of Operational Research.
Esfandiari N. and Seifbarghy M. (2013). Modeling a stochastic multi-objective supplier quota allocation problem with price-dependent ordering, Applied Mathematical Modelling.
Fahimnia B., Sarkis J., Dehghanian F., Banihashemi N. and Rahman. S. (2013). The impact of carbon pricing on a closed-loop supply chain: an Australian case study, Journal of Cleaner Production, pp. 1-16.
Gen M. (1997). Genetic Algorithm and Engineering Design. John Wiley & sons.
Ghodsypour S.H. and O’Brien C. (2001). The total cost of logistics in supplier selection, under conditions of multiple sourcing, multiple criteria and capacity constraint, Int. J. Prod. Econ, Vol.73(1), pp. 15–27.
Herva M. and Roca E. (2013). Ranking municipal solid waste treatment alternatives based on ecological footprint and multi-criteria analysis, Ecological Indicators, Vol.25, pp. 77-84.
Hugos M. (2006). Essential of supply chain management (2nd ed.). John Wiley & Sons. Intergovernmental Panel on Climate Change (IPCC). Summary for Policy.
Lai Y.J. and Hwang C.L. (1996). fuzzy Multiple Objective Decision making, Method and Application, Springer-Verlag.
Li L. and Zabinsky B. Z. (2011). Incorporating uncertainty into a supplier selection problem, Int. J. Production Economics, Vol. 134, pp. 344–356.
Li S., Murat A. and Huang. W. (2009). Selection of contract suppliers under price and demand uncertainty in a dynamic market, European Journal of Operational Research, Vol.198, pp. 830–847.
Mendoza A. and Ventura A. (2012). Analytical models for supplier selection and order quantity allocation, Applied Mathematical Modelling, Vol. 36, pp. 3826–3835.
Mendoza V. and Ventura J.A. (2012). Analytical models for supplier selection and order quantity allocation, Appl. Math. Model, Vol.36 (8), pp. 3826–3835.
Narasimhan R., Talluri S. and Mahapatra S.K. (2006). Multiproduct multicriteria model for supplier selection with product life-cycle considerations, Decis. Sci, Vol.37 (4), pp. 577–603.
Ozkok B. A. and Tiryaki F. (2011). A compensatory fuzzy approach to multi-objective linear supplier selection problem with multiple-item, Expert Systems with Applications, Vol.38, pp. 11363–11368.
Rao P. ( 2002). Green the supply chain: a new initiative in south East Asia, International Journal of Operation and Production Management, Vol.22(6), pp. 632-655.
Sarkis J. (2006). Greening the supply chain. Springerlink-Ver lag Londen limited.
Shaw K., Shankar R., Yadav S. S. and Thakur L. S. ( 2012). Supplier selection using fuzzy AHP and fuzzy multi-objective linear programming for developing low carbon supply chain, Expert Systems with Applications, Vol.39, pp. 8182–8192.
Shen L., Olfat L., Govindan K., Khodaverdi R. and Diabat. A. (2013). A fuzzy multi criteria approach for evaluating green supplier’s performance in green supply chain with linguistic preferences, Resources, Conservation and Recycling, Vol. 74, pp. 170-177.
Wang T.Y. and Yang Y. H. (2009). A fuzzy model for supplier selection in quantity discount environments, Expert Systems with Applications, Vol.36(10), pp. 12179–12187.
Weber C.A., Current J. and Desai A. (2000). An optimization approach to determining the number of vendors to employ, Supply Chain Manage, Int. J, Vol.5(2), pp. 90–98.
Weijum X.and Zhiming. W.(2007). Supplier selection with multiple criteria in volume discount environments, The international jornal of management science, omega, Vol. 35, pp. 494-504.
Yang P.C., Wee H.M., Pai S. and Tseng Y.F. (2011). Solving a stochastic demand multiproduct supplier selection model with service level and budget constraints using Genetic Algorithm, Expert Systems with Applications, Vol.38, pp. 14773–14777.
Zhang J. l. and Chen J. (2013). Supplier selection and procurement decisions with uncertain demand,fixed selection costs and quantity discounts, Computers & Operations Research, Vol.40, pp. 2703–2710.
Zhang J. L. and Zhang M.Y. (2011). Supplier selection and purchase problem with fixed cost and constrained order quantities under stochastic demand, Int.J.Prod. Econ, Vol. 129(1), pp. 1-7.