Abstract
A multi-product, multi-period, multi-site supply chain production and transportation planning problem, in the textile and apparel industry, under demand and price uncertainties is considered in this paper. The problem is formulated using a two-stage stochastic programming model taking into account the production amount, the inventory and backorder levels as well as the amounts of products to be transported between the different plants and customers in each period. Risk management is addressed by incorporating a risk measure into the stochastic programming model as a second objective function, which leads to a multi-objective optimization model. The objectives aim to simultaneously maximize the expected net profit and minimize the financial risk measured. Two risk measures are compared: the conditional-value-at-risk and the downside risk. As the considered objective functions conflict with each other’s, the problem solution is a front of Pareto optimal robust alternatives, which represents the trade-off among the different objective functions. A case study using real data from textile and apparel industry in Tunisia is presented to illustrate the effectiveness of the proposed model and the robustness of the obtained solutions.
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Ait-alla, A., Teucke, M., Lütjen, M., Beheshti-kashi, S., & Reza, H. (2014). Robust production planning in fashion apparel industry under demand uncertainty via conditional value at risk. Mathematical Problems in Engineering.. https://doi.org/10.1155/2014/901861.
Awudu, I., & Zhang, J. (2013). Stochastic production planning for a biofuel supply chain under demand and price uncertainties. Applied Energy, 103, 189–196.
Birge, J., & Louveaux, F. (1997). Introduction to stochastic programming. Berlin: Springer.
Bonfill, A., Bagajewicz, M., Espun, A., & Puigjaner, L. (2004). Risk management in the scheduling of batch plants under uncertain market demand. Industrial and Engineering Chemistry Research, 43, 741–750.
Chen, C., & Lee, W. (2004). Multi-objective optimization of multi-echelon supply chain networks with uncertain product demands and prices. Computers and Chemical Engineering, 28, 1131–1144.
Chiu, C.-H., & Choi, T.-M. (2016). Supply chain risk analysis with mean-variance models: A technical review. Annals of Operations Research, 240(2), 489–507.
Chopra, S., & Meindl, P. (2010). Supply chain management: Strategy, planning, and operation (4th ed.). Upper Saddle River, NJ: Pearson Education, Inc.
DuHadway, S., Carnovale, S. & Hazen, B., (2017). Understanding risk management for intentional supply chain disruptions: Risk detection, risk mitigation, and risk recovery. Annals of Operations Research, pp. 1–20. https://doi.org/10.1007/s10479-017-2452-0.
Esmaeilikia, M., et al. (2016). Tactical supply chain planning models with inherent flexibility: Definition and review. Annals of Operations Research, 244(2), 407–427.
Felfel, H., Ayadi, O., & Masmoudi, F. (2016a). A decision making approach for a multi-objective multi-site supply network planning problem. International Journal of Computer Integrated Manufacturing, 29(7), 754–767.
Felfel, H., Ayadi, O., & Masmoudi, F. (2016b). Multi-objective stochastic multi-site supply chain planning under demand uncertainty considering downside risk. Computers and Industrial Engineering, 102(2016), 268–279.
Gebreslassie, B. H., Yao, Y., & You, F. (2012). Design under uncertainty of hydrocarbon biorefinery supply chains: Multiobjective stochastic programming models, decomposition algorithm, and a comparison between CVaR and downside Risk. AIChE Journal, 58(7), 2155–2179.
Haimes, Y. Y., Lasdon, L. S., & Wismer, D. A. (1971). On a bicriterion formulation of the problems of integrated system identification and system optimization. IEEE Trans on Systems, Man and Cybernetics, 1, 296–297.
Jatuphatwarodom, N., Jones, D.F. & Ouelhadj, D. (2018). A mixed-model multi-objective analysis of strategic supply chain decision support in the Thai silk industry. Annals of Operations Research. https://doi.org/10.1007/s10479-018-2774-6.
Karabuk, S. (2008). Production planning under uncertainty in textile manufacturing. Journal of the Operational Research Society, 59(4), 510–520.
Kong, W. M. (2008). A multi-stage stochastic linear programming model for apparel production planning. PhD thesis, City University of Hong Kong.
Leung, S. C. H., Tsang, S. O. S., Ng, W. L., & Wu, Y. (2007). A robust optimization model for multi-site production planning problem in an uncertain environment. European Journal of Operational Research, 181(1), 224–238.
Leung, S. C. H., Wu, Y., & Lai, K. K. (2003). Multi-site aggregate production planning with multiple objectives: A goal programming approach. Production Planning and Control: The Management of Operations, 14(5), 425–436.
Leung, S. C. H., Wu, Y., & Lai, K. K. (2005). A stochastic programming approach for multi-site aggregate production planning. Journal of the Operational Research Society, 57, 123–132.
Markowitz, H. (1952). Portfolio selection. The Journal of Finance, 7(1), 77–91.
Mok, P. Y., Cheung, T. Y., Wong, W. K., Leung, S. Y. S., & Fan, J. T. (2013). Intelligent production planning for complex garment manufacturing. Journal of Intelligent Manufacturing, 24, 133–145.
Ren, S., Chan, H.-L., & Ram, P. (2017). A comparative study on fashion demand forecasting models with multiple sources of uncertainty. Annals of Operations Research, 257(1–2), 335–355.
Rockafellar, R. T., & Uryasev, S. (2002). Conditional value-at-risk for general loss distributions. Journal of Banking Finance, 26, 1443–1471.
Safra, I. (2013). Vers une approche intégrée de planification de la production et de la distribution: Cas de l’industrie textile. PhD thesis, Central School of Paris.
Sarykalin, S., Serraino, G., & Uryasev, S. (2008). Value-at-risk vs. conditional value-at-risk in risk management and optimization. In Z.-L. Chen & S. Raghavan (eds.), Tutorials in operations research (pp. 270–294). INFORMS.
Toni, A. D., & Meneghetti, A. (2000). The production planning process for a network of Firms in the textile-apparel industry. International Journal of Production Economics, 65, 17–32.
Uryasev, S., & Rockafellar, R. T. (2001). Conditional value-at-risk: Optimization approach. Stochastic Optimization: Algorithms and Applications, 54, 411–435.
Wang, R., & Fang, H. (2001). Aggregate production planning with multiple objectives in a fuzzy environment. European Journal of Operational Research, 133(3), 521–536.
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Financial support received from the Mobility of researchers and research for the creation of value (MOBIDOC) is fully appreciated. LINDO Systems, Inc is also acknowledged for giving us a free educational research license of the extended version of LINGO 15.0 software package.
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Felfel, H., Yahia, W.B., Ayadi, O. et al. Stochastic multi-site supply chain planning in textile and apparel industry under demand and price uncertainties with risk aversion. Ann Oper Res 271, 551–574 (2018). https://doi.org/10.1007/s10479-018-2980-2
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DOI: https://doi.org/10.1007/s10479-018-2980-2