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Original Articles

Application of Fuzzy Multi-Objective Linear Programming Model in a Multi-Period Multi- Product Production Planning Problem

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Pages 228-243 | Received 21 Apr 2010, Accepted 14 Dec 2010, Published online: 12 Mar 2012

References

  • Hanssmann , F. and Hess , S. W. 1960 . A linear programming approach to production and employment scheduling . Management Science , 2 ( 1 ) : 46 – 51 .
  • Bakir , M. and Byrne , D. 1998 . Stochastic linear optimization of an MPMP production planning model . International Journal of Production Economics , 55 ( 1 ) : 87 – 96 .
  • Wang , R. C. and Liang , T. F. 2004 . Application of fuzzy multiobjective linear programming to aggregate production planning . Computers and Industrial Engineering , 46 ( 1 ) : 17 – 41 .
  • Feylizadeh , M. R. , Modares , M. and Bagherpour , M. 2008 . Optimal crashing of multi period multi product production planning problems . World Applied Sciences journal , 4 ( 4 ) : 499 – 505 .
  • Fogarty , D. W. , Hoffmann , T. R. and Stonebraker , P. W. 1989 . Production and operations management , Cincinnati : South–Western Publishing Co .
  • Krajewski , L. J. and Ritzman , L. P. 1999 . Operations management: strategy and analysis , Singapore : Addison–Wesley .
  • Hax , A. C. and Candea , D. 1984 . Production and inventory management , Englewood Cliffs : Prentice-Hall .
  • Billington , P. J. , McClain , J. O. and Thomas , L. J. 1983 . Mathematical programming approches to capacity constrained MRP systems: Review, formulation and problem reduction . Management Science , 29 ( 10 ) : 1126 – 1141 .
  • Byrne , M. D. and Bakir , M. A. 1999 . Production planning using a hybrid simulation-analytical approach . International Journal of Production Economics , 59 ( 1 ) : 305 – 311 .
  • Kim , B. and Kim , S. 2001 . Extended model for a hybrid production planning approach . International Journal of Production Economics , 73 ( 2 ) : 165 – 173 .
  • Byrne , M. D. and Hossain , M. M. 2005 . Production planning: An improved hybrid approach . International Journal of Production Economics , 93 ( 94 ) : 225 – 229 .
  • Brandimarte , P. 2006 . Multi-item capacitated lot-sizing with demand uncertainty . International Journal of Production Research , 44 ( 15 ) : 2997 – 3022 .
  • Noori , S. , Bagherpour , M. , Zorriasatine , F. , Makui , A. and Parkin , R. 2008 . A new project scheduling approach for improving multi-product multi-period production planning . Proceedings of the institution of mechanical Engineers; Part B- Journal of Engineering Manufacture , 222 ( 11 ) : 1517 – 1527 .
  • Bagherpour , M. , Zareei , A. , Noori , S. and Heydari , M. 2010 . Designing a control mechanism using earned value analysis: an application to production environment . International Journal of Advanced Manufacturing Technology , 49 ( 5-8 ) : 419 – 429 .
  • Kazemi Zanjani , M. , Nourelfath , M. and Ait-Kadi , D. 2010 . A multi-stage stochastic programming approach for production planning with uncertainty in the quality of raw materials and research . International Journal of Production Research , 48 ( 15-16 ) : 4701 – 47023 .
  • Kazemi Zanjani , M. , Ati-Kadi , D. and Nourelfath , M. 2010 . Robust production planning in a manufacturing environment with random yield: A Case in sawmill production planning . European Journal of Operational Research , 201 ( 3 ) : 882 – 891 .
  • Lai , Y. J. and Hwang , C. L. 1992 . Fuzzy mathematical programming: methods and applications , Heidelberg : Springer .
  • Shi , Y. and Haase , C. 1996 . Optimal trade-offs of aggregate production planning with multiple objective and multicapacity demand levels . International Journal of Operations and Quantitative Management , 2 ( 2 ) : 127 – 143 .
  • Wang , R. C. and Liang , T. F. 2005 . Aggregate production planning with multiple fuzzy goals . International Journal of Advanced Manufacturing Technology , 25 ( 5- 6 ) : 589 – 597 .
  • Zadeh , L. A. 1965 . Fuzzy sets . Information and Control , 8 ( 1 ) : 338 – 353 .
  • Bellman , R. E. and Zadeh , L. A. 1970 . Decision-making in a fuzzy environment . Management Science , 17 ( 4 ) : 141 – 164 .
  • Wang , R. C. and Fang , H. H. 2001 . Aggregate production planning with multiple objectives in a fuzzy environment . European Journal of Operational Research , 133 ( 3 ) : 521 – 536 .
  • Zimmermann , H. J. 1976 . Description and optimization of fuzzy systems . International Journal of General Systems , 2 ( 4 ) : 209 – 215 .
  • Zimmermann , H. J. 1978 . Fuzzy programming and linear programming with several objective functions . Fuzzy Sets and Systems , 1 ( 1 ) : 45 – 56 .
  • Rinks , D. B. 1982 . The performance of fuzzy algorithm models for aggregate planning and different cost structure , Amsterdam : North-Holland .
  • Nakamura , K. 1984 . Some extensions of fuzzy linear programming . Fuzzy Sets and Systems , 14 ( 3 ) : 211 – 229 .
  • Zimmermann , H. J. 1996 . Fuzzy set theory and its application , Boston : Kluwer .
  • Yang , T. , Ignizio , J. P. and kim , H. J. 1991 . Fuzzy programming with nonlinear membership functions: Piecewise linear approximation . Fuzzy Sets and Systems , 41 ( 1 ) : 39 – 53 .
  • Gen , M. , Tsujimura , Y. and Ida , K. 1992 . Method for solving multi objective aggregate production planning problem with fuzzy parameters . Computers and Industrial Engineering , 23 ( 1-4 ) : 117 – 120 .
  • Wang , R. C. and Fang , H. H. 2000 . Aggregate production planning in a fuzzy environment . International Journal of Industrial engineering/Theory, Application, and Practice , 7 ( 1 ) : 5 – 14 .
  • Li , H. L. and Yu , C. H. 2000 . A fuzzy multi objective program with quasiconcave membership functions and fuzzy coefficients . Fuzzy Sets and Systems , 109 ( 1 ) : 59 – 81 .
  • Wang , R. C. and Liang , T. F. 2005 . Applying possibilistic linear programming to aggregate production planning . International Journal of Production Economics , 98 ( 3 ) : 328 – 341 .
  • Fengjie , W. , Jie , L. and Guangquan , Z. 2006 . A new approximate algorithm for solving multiple objective linear programming problems with fuzzy parameters . Applied Mathematics and Computation , 174 ( 1 ) : 524 – 544 .
  • Jamalnia , A. and Soukhakian , M. A. 2009 . A hybrid fuzzy goal programming approach with different goal priorities to aggregate production planning . Computers & Industrial Engineering , 56 ( 4 ) : 1474 – 1486 .
  • Tang , J. , Wang , D. and Fung , R. Y. K. 2000 . Fuzzy formulation for multi-product aggregate production planning . Production Planning and Control , 11 ( 7 ) : 670 – 676 .
  • Zhang , G. Q. , Wu , Y. H. , Remias , M. and Lu , J. 2002 . An afuzzy max order and solution of linear constrained fuzzy optimization problems . East-West Journal of Mathematics , : 84 Special
  • Zhang , G. Q. , Wu , Y. H. , Remias , M. and Lu , J. 2003 . Formulation of fuzzy linear programming problems as four-objective constrained optimization problems . Applied Mathematics and Computation , 39 ( 2-3 ) : 383 – 399 .
  • Engin , O. , Kahraman , C. and Yilmaz , M. K. 2009 . A new artificial immune system algorithm for multiobjective fuzzy flow shop problems . International Journal of computational intelligence systems , 2 ( 3 ) : 236 – 247 .
  • Liang , T. F. and Cheng , H. W. 2009 . Application of fuzzy sets to manufacturing/distribution planning decisions with multi-product multi-time period in supply chains . Expert Systems with Applications , 36 ( 2 ) : 3367 – 3377 .
  • Liang , T. F. 2008 . Fuzzy multi objective production/distribution planning decisions with multi-product and multi-time period in a supply chain . Computers & Industrial Engineering , 55 ( 3 ) : 676 – 694 .
  • Hannan , E. L. 1981 . Linear programming with multiple fuzzy goals . Fuzzy Sets and Systems , 6 ( 3 ) : 235 – 248 .
  • Hintz , G. W. and Zimmermann , H. J. 1989 . A method to control flexible manufacturing systems . European Journal of Operational Research , 41 ( 3 ) : 321 – 334 .
  • Li , D. F. , Nan , J. X. and Zhag , M. J. 2010 . A ranking method of triangular intuitionistic fuzzy numbers and application to decision making . International Journal of Computational Intelligence Systems , 3 ( 5 ) : 522 – 541 .
  • Rommelfanger , H. 1996 . Fuzzy linear programming and applications . European Journal of Operational Research , 92 ( 3 ) : 512 – 527 .

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