Abstract
Aggregate planning is a medium-range capacity planning that suggests the production strategies in order to meet the forecasted demand considering the capacity constraints. As the period of planning length increases, the uncertainty of information will grow. Regarding this point, in this paper, a multi-objective model is proposed for aggregate planning problem in which the parameters of the model are expressed in the form of grey numbers. The suggested grey multi-objective model is solved based on a goal programming problem with fuzzy aspiration levels. The model is applied in a real-world problem, and its results are illustrated. The obtained results give a range for decision variables, and decision makers can handle the inevitable uncertainty of information by using these ranges.
Similar content being viewed by others
References
Baykasoglu A, Gocken T (2006) A tabu search approach to fuzzy goal programs and an application to aggregate production planning. Eng Optim 38(2):155–177
Baykasoglu A, Gocken T (2010) Multi-objective aggregate production planning with fuzzy parameters. Adv Eng Software 41(9):155–177
Bouyssou D (1989) Modeling inaccurate determination, uncertainty, imprecision using multiple criteria. In: Locket AG, Islei G (eds) Improving decision making in organizations, lecture notes in economics and mathematical systems, 335. Springer, Berlin
Can EK, Houck MH (1984) Real-time reservoir operations by goal programming. J Water Resour Plann Manag 110(3):297–309
Chen LH, Tsai FC (2001) Fuzzy goal programming with different importance and priorities. Eur J Oper Res 133(3):548–556
Deng JL (1982) Control problems of grey system. Syst Contr Lett 1(5):288–294
Deng JL (1989) Introduction to grey system theory. J Grey Theor 1:1–24
Gen M, Tsujimura Y, Ida K (1992) Method for solving multi objective aggregate production planning problem with fuzzy parameters. Comput Ind Eng 23(1–4):117–120
Hannan EL (1981) On fuzzy goal programming. Decis Sci 12(3):522–531
Hannan EL (1981) Some further comments on fuzzy priorities. Decis Sci 12(3):539–541
Hintz GW, Zimmermann HJ (1989) A method to control flexible manufacturing systems. Eur J Oper Res 41(3):321–334
Huang GH (1994) Grey mathematical programming and its application to municipal/solid waste management planning. Ph.D. Dissertation, Department of Civil Engineering, McMaster University.
Ignizio JP (1976) Goal programming and extension. Heath Lexington Books, London
Inuiguchi M, Kume Y (1991) Goal programming problems with interval coefficients and target intervals. Eur J Oper Res 52(3):345–360
Jamalnia A, Soukhakian MA (2009) A hybrid fuzzy goal programming approach with different goal priorities to aggregate production planning. Comput Ind Eng 56(4):1474–1486
Krajewski LJ, Ritzman LP (1999) Operations management: strategy and analysis. Addison-Wesley, Singapore
Kvanli AH (1980) Financial planning using goal programming. Omega 8(2):207–218
Lee YY (1990) Fuzzy set theory approach to aggregate production planning and inventory control. Ph.D. dissertation, Department of I.E., Kansas State University.
Lin Y, Chen MY, Liu S (2004) Theory of grey systems: capturing uncertainties of grey information. Kybernetes 33(2):196–218
Liu S, Lin Y (2010) Grey systems: theory and applications. Springer, Berlin
Liu S, Lin Y (2006) Grey information: theory and practical applications. Springer, London
Michalewicz Z, Nazhiath G (1995) Genocop III: a co-evolutionary algorithms for numerical optimization problems with nonlinear constraints. In IEEE Proceedings of Second International Conference on Evolutionary Computation, Perth, Australia (pp. 647–651).
Narasimhan R (1980) Goal programming in a fuzzy environment. Decis Sci 11(2):325–336
Ning Y, Tang W, Zhao R (2006) Multiproduct aggregate production planning in fuzzy random environments. World J Model Simulat 2(5):312–321
Riabacke A (2006) Managerial decision making under risk and uncertainty. IAENG Int J Comput Sci 32(4):453–459
Rockafellar RT, Wets RJ-B (1991) Scenarios and policy aggregation in optimization under uncertainty. Math Oper Res 16(1):119–147
Romero C (1984) A note: effects of five-side penalty functions in goal programming. Omega 12(4):333–333
Saad GH (1982) An overview of production planning model: structure classification and empirical assessment. Int J Prod Res 20(1):105–114
Tiwari RN, Dharmar S, Rao JR (1986) Priority structure in fuzzy goal programming. Fuzzy Set Syst 19(3):251–259
Torabi SA, Ebadian M, Tanha R (2009) Fuzzy hierarchical production planning (with a case study). Fuzzy Set Syst 161(11):1511–1529
Wang RC, Fang HH (2001) Aggregate production planning with multiple objectives in a fuzzy environment. Eur J Oper Res 133(3):521–536
Wang RC, Liang TF (2004) Application of fuzzy multi-objective linear programming to aggregate production planning. Comput Ind Eng 46(1):17–41
Wang RC, Liang TF (2005) Aggregate production planning with multiple fuzzy goals. Int J Adv Manuf Technol 25(5–6):589–597
Wang RC, Liang TF (2005) Applying possibilistic linear programming to aggregate production planning. Int J Prod Econ 98(3):328–341
Yang T, Ignizio JP, Kim H-J (1991) Fuzzy programming with nonlinear membership functions: piecewise linear approximation. Fuzzy Set Syst 41(1):39–53
Zeleny M (1981) The pros and cons of goal programming. Comput Oper Res 8:357–359
Zimmermann HJ (1978) Fuzzy programming and linear programming with several objective functions. Fuzzy Set Syst 1(1):45–55
Zimmermann HJ (1983) Fuzzy mathematical programming. Fuzzy Set Syst 10(4):291–298
Zimmermann HJ (1997) Fuzzy linear programming. In: Gal T, Greenberg HJ (eds) Advances in sensitivity analysis and parametric programming. Kluwer, Boston, pp 15.1–15.40
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sadeghi, M., Razavi Hajiagha, S.H. & Hashemi, S.S. A fuzzy grey goal programming approach for aggregate production planning. Int J Adv Manuf Technol 64, 1715–1727 (2013). https://doi.org/10.1007/s00170-012-4135-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-012-4135-y