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Supply chain management through the stochastic goal programming model

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Abstract

Supply chain (SC) design problems are often characterized with uncertainty related to the decision-making parameters. The stochastic goal programming (SGP) was one of the aggregating procedures proposed to solve the SC problems. However, the SGP does not integrate explicitly the Manager’s preferences. The aim of this paper is to utilize the chance constrained programming and the satisfaction function concept to formulate strategic and tactical decisions within the SC while demand, supply and total cost are random variables.

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References

  • Aköz, O., & Petrovic, D. (2007). A fuzzy goal programming method with imprecise goal hierarchy. European Journal of Operational Research, 181(3), 1427–1433.

    Article  Google Scholar 

  • Aouni, B., & Kettani, O. (2001). Goal programming model: A glorious history and promising future. European Journal of Operational Research, 133(2), 38–46.

    Article  Google Scholar 

  • Aouni, B., Abdelaziz, F. B., & Martel, J. M. (2005). Decision-maker’s preferences modeling in the stochastic goal programming. European Journal of Operational Research, 162(3), 610–618.

    Article  Google Scholar 

  • Azadeh, A., Ghaderi, S. F., Dehghanbaghi, M., & Dabbaghi, A. (2010). Integration of simulation, design of experiment and goal programming for minimization of make span and tardiness. The International Journal of Advanced Manufacturing Technology, 46(5–8), 431–444.

    Article  Google Scholar 

  • Azaron, A., Furmans, K., & Modarres, M. (2010). Multi-objective stochastic programming approaches for supply chain management. In New developments in multiple objective and goal programming, (pp. 1–14). Berlin: Springer.

  • Ben Abdelaziz, F., & Sameh, M. (2001). Application of goal programming in a multi-objective reservoir operation model in Tunisia. European Journal of Operational Research, 133(2), 352–361.

    Article  Google Scholar 

  • Bhattacharya, U. K. (2009). A chance constraints goal programming model for the advertising planning problem. European Journal of Operational Research, 192(2), 382–395.

    Article  Google Scholar 

  • Bravo, M., & Gonzalez, I. (2009). Applying stochastic goal programming: A case study on water use planning. European Journal of Operational Research, 196(3), 1123–1129.

    Article  Google Scholar 

  • Charnes, A., & Cooper, W. W. (1952). Chance conctraints and normal deviates. Journal of American Statistics Association, 57, 134–148.

    Article  Google Scholar 

  • Charnes, A., & Cooper, W. W. (1959). Chance-constrained programming. Management Sciences, 6, 73–78.

    Article  Google Scholar 

  • Charnes, A., & Cooper, W. W. (1963). Deterministic equivalents for optimizing and satisfying under chance constraints. Operations Research, 11, 18–39.

    Article  Google Scholar 

  • Charnes, A., Cooper, W. W., & Ferguson, R. (1955). Optimal estimation of executive compensation by linear programming. Management Sciences, 1, 138–351.

    Article  Google Scholar 

  • Cherif, M. S., Chabchoub, H., & Aouni, B. (2008). Quality control system design through the goal programming model and the satisfaction functions. European Journal of Operational Research, 186, 1084–1098.

    Article  Google Scholar 

  • Chopra, S., & Meindl, P. (2001). Supply chain management: Strategy, planning and operation. ISBN 0-13-026465-2, pp. 1–7.

  • Contini, B. (1968). A stochastic approach to goal programming. Operations Research, 16(3), 576–586.

    Article  Google Scholar 

  • Forza, C., Salvador, F., & Rungtusanatham, M. (2005). Coordinating product design, process design, and supply chain design decisions: Part B. Coordinating approaches, tradeoffs, and future research directions. Journal of Operations Management, 23(3–4), 319–324.

    Article  Google Scholar 

  • Ho, W., Lee, C. K. M., & Ho, G. T. S. (2008). Optimization of the facility location-allocation problem in a customer-driven supply chain. Operations Management Research, 1(1), 69–79.

    Article  Google Scholar 

  • Hung, S. J. (2011). Activity-based divergent supply chain planning for competitive advantage in the risky global environment: A DEMATEL-ANP fuzzy goal programming approach. Expert Systems with Applications, 38(8), 9053–9062.

    Article  Google Scholar 

  • Ignizio, J. P. (1982). On the (re)discovery of fuzzy goal programming. Decision Sciences, 13, 331–336.

    Article  Google Scholar 

  • Jolai, F., Razmi, J., & Rostami, N. K. M. (2011). A fuzzy goal programming and meta heuristic algorithms for solving integrated production: Distribution planning problem. Central European Journal of Operations Research, 19(4), 547–569.

    Article  Google Scholar 

  • Jung, H. (2011). A fuzzy AHP–GP approach for integrated production-planning considering manufacturing partners. Expert Systems with Applications, 38(5), 5833–5840.

    Article  Google Scholar 

  • Ku, C. Y., Chang, C. T., & Ho, H. P. (2010). Global supplier selection using fuzzy analytic hierarchy process and fuzzy goal programming. Quality and Quantity, 44(4), 623–640.

    Article  Google Scholar 

  • Kumar, M., Vrat, P., & Shankar, R. (2004). A fuzzy goal programming approach for vendor selection in supply chain. Computers & Industrial Engineering, 46(1), 69–85.

    Article  Google Scholar 

  • Lee, A. H., Kang, H. Y., & Chang, C. T. (2009). Fuzzy multiple goal programming applied to TFT-LCD supplier selection by downstream manufacturers. Expert Systems with Applications, 36(3), 6318–6325.

    Article  Google Scholar 

  • Leung, S. C. H., & Ng, Wan-lung. (2007). A goal programming model for production planning of perishable products with postponement. Computers & Industrial Engineering, 53(3), 531–541.

    Article  Google Scholar 

  • Leung, S. C. H., & Chan, S. S. W. (2009). A goal programming model for aggregate production planning with resource utilization constraint. Computers & Industrial Engineering, 56(3), 1053–1064.

    Article  Google Scholar 

  • Li, L., Fonseca, D. J., & Chen, Der-San. (2006). Earliness-tardiness production planning for just-in-time manufacturing: A unifying approach by goal programming. European Journal of Operational Research, 175(1), 508–515.

    Article  Google Scholar 

  • Liang, T. F. (2009). Fuzzy multi-objective project management decisions using two-phase fuzzy goal programming approach. Computers & Industrial Engineering, 57(4), 1407–1416.

    Article  Google Scholar 

  • Liao, C. N., & Kao, H. P. (2011). An integrated fuzzy TOPSIS and MCGP approach to supplier selection in supply chain management. Expert Systems with Applications, 38(9), 10803–10811.

    Article  Google Scholar 

  • Liu, B. (1996). Dependent-chance goal programming and its genetic algorithm based approach. Mathematical and Computer Modeling, 24(7), 43–52.

    Article  Google Scholar 

  • Lotfi, M. M., & Torabi, S. A. (2011). A fuzzy goal programming approach for mid-term assortment planning in supermarkets. European Journal of Operational Research, 213(2), 430–441.

    Article  Google Scholar 

  • Martel, J. M., & Aouni, B. (1990). Incorporating the decision-maker’s preferences in the goal programming model. Journal of Operational Research Society, 41(1), 1121–1132.

    Article  Google Scholar 

  • Martel, J. M., & Aouni, B. (1996). Incorporating the decision-maker’s preferences in the goal programming model with fuzzy goals values, a new formulation lecture notes in economics and mathematical systems. Berlin: Springer.

    Google Scholar 

  • Martel, J. M., & Aouni, B. (1998). Diverse imprecise goal programming model formulations. Journal of Global Optimization, 12, 127–138.

    Article  Google Scholar 

  • Min, H., & Melachrinoudis, E. (1996). Dynamic location and entry mode selection of multinational manufacturing facilities under uncertainty: A chance-constrained goal programming approach. International Transactions in Operational Research, 3(1), 65–76.

    Article  Google Scholar 

  • Mula, J., Peidro, D., Diaz-Madronero, M., & Vicens, E. (2009). Mathematical programming models for supply chain production and transport planning. European Journal of Operational Research, 204, 377–390.

    Article  Google Scholar 

  • Özcan, U., & Toklu, B. (2009). Multiple-criteria decision-making in two-sided assembly line balancing: A goal programming and a fuzzy goal programming models. Computers & Operations Research, 36(6), 1955–1965.

    Article  Google Scholar 

  • Rostami NKi, M., Razmi, J., & Jolai, F. (2010). Designing a genetic algorithm to solve an integrated model in supply chain management using fuzzy goal programming approach. Balanced Automation Systems for Future Manufacturing Networks, 168–176.

  • Sabri, E. H., & Beamon, B. M. (2000). A multi-objective approach to simultaneous strategic and operational planning in supply chain design. Omega, 28, 581–598.

    Article  Google Scholar 

  • Santoso, T., Ahmed, S., Goetschalckx, M., & Shapiro, A. (2005). A stochastic programming approach for supply chain network design under uncertainty. European Journal of Operational research, 167, 96–115.

    Article  Google Scholar 

  • Selim, H., & Ozkarahan, I. (2008). A supply chain distribution network design model: An interactive fuzzy goal programming-based solution approach. The International Journal of Advanced Manufacturing Technology, 36(3–4), 401–418.

    Article  Google Scholar 

  • Selim, H., Araz, C., & Ozkarahan, I. (2008). Collaborative production-distribution planning in supply chain: A fuzzy goal programming approach. Transportation Research Part E: Logistics and Transportation Review, 44(3), 396–419.

    Article  Google Scholar 

  • Sinha, S. B., Rao, K. A., & Mangaraj, B. K. (1988). Fuzzy goal programming in multi-criteria decision systems: A case study in agriculture planning. Socio-Economic Planning Sciences, 22(2), 93–101.

    Article  Google Scholar 

  • Stevens, G. C. (1989). Integrating the supply chains. International Journal of Physical Distribution and Materials Management, 8(8), 3–8.

    Article  Google Scholar 

  • Syntetos, A. A., Babai, M. Z., Lengu, D., & Altay, N. (2011). Distributional assumptions for parametric forecasting of intermittent demand, in service parts management. London: Springer.

    Google Scholar 

  • Taylor, B. W., & Anderson, P. F. (1979). Goal programming approach to marketing/ production planning. Industrial Marketing Management, 8(2), 136–144.

    Article  Google Scholar 

  • Wang, G., Huang, S. H., & Dismukes, J. P. (2005). Manufacturing supply chain design and evaluation. The International Journal of Advanced Manufacturing Technology, 25(1–2), 93–100.

    Article  Google Scholar 

  • Wong, J. T. (2012). DSS for 3PL provider selection in global supply chain: Combining the multi-objective optimization model with experts’ opinions. Journal of Intelligent Manufacturing, 23(3), 599–614.

    Article  Google Scholar 

  • Yang, L., & Feng, Y. (2007). A bicriteria solid transportation problem with fixed charge under stochastic environment. Applied Mathematical Modeling, 31(12), 2668–2683.

    Article  Google Scholar 

  • Zarandi, M. H. F., Sisakht, A. H., & Davari, S. (2011). Design of a closed-loop supply chain (CLSC) model using an interactive fuzzy goal programming. The International Journal of Advanced Manufacturing Technology, 56(5–8), 809–821.

    Article  Google Scholar 

  • Zhou, S. Y., & Chen, R. Q. (2001). A decision model for selecting participants in supply chain. Journal of Shanghai University (English Edition), 5(4), 341–344.

    Article  Google Scholar 

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Correspondence to Belaid Aouni.

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Azimian, A., Aouni, B. Supply chain management through the stochastic goal programming model. Ann Oper Res 251, 351–365 (2017). https://doi.org/10.1007/s10479-015-2007-1

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