A membership function approach for aggregate production planning problems in fuzzy environments

References

• Aliev , RA . 2007 . Fuzzy-genetic approach to aggregate production-distribution planning in supply chain management . Information Sciences , 177 ( 20 ) : 4241 – 4255 .
   Web of Science ®Google Scholar
• Baykasoglu , A . 2001 . MOAPPS 1.0: aggregate production planning using the multiple-objective tabu search . International Journal of Production Research , 39 ( 16 ) : 3685 – 3702 .
   Web of Science ®Google Scholar
• Bazaraa , MS , Sherali , HD and Shetty , CM . 1993 . Nonlinear programming: theory and algorithm, , 2nd , Singapore : John Wiley & Sons .
   Google Scholar
• Bazaraa , MS , Jarvis , JJ and Sherali , HD . 2005 . Linear programming and network flows, , 3rd , Hoboken, NJ : John Wiley & Sons .
   Google Scholar
• Bellman , RE and Zadeh , LA . 1970 . Decision-making in a fuzzy environment . Management Science , 17 ( 4 ) : 141 – 164 .
   Web of Science ®Google Scholar
• Bialas , WF and Karwan , MH . 1984 . Two-level linear programming . Management Science , 30 ( 8 ) : 1004 – 1020 .
   Web of Science ®Google Scholar
• Bowman , EH . 1956 . Production scheduling by the transportation method of linear programming . Operations Research , 4 ( 1 ) : 100 – 103 .
   Web of Science ®Google Scholar
• Bowman , EH . 1963 . Consistency and optimality in managerial decision making . Management Science , 9 ( 2 ) : 310 – 321 .
   Web of Science ®Google Scholar
• Buxey , G . 1995 . A managerial perspective on aggregate planning . International Journal of Production Economics , 41 ( 1–3 ) : 127 – 133 .
   Web of Science ®Google Scholar
• Buxey , G . 2003 . Strategy not tactics drives aggregate planning . International Journal of Production Economics , 85 ( 3 ) : 331 – 346 .
   Web of Science ®Google Scholar
• Chanas , S . 1983 . The use of parametric programming in fuzzy linear programming . Fuzzy Sets and Systems , 11 ( 1–3 ) : 229 – 241 .
   Web of Science ®Google Scholar
• Chanas , S and Kulej , M . 1984 . A fuzzy linear programming problem with equality constraints . Control and Cybernetics , 13 : 195 – 201 .
   Google Scholar
• Charnes , A and Cooper , WW . 1961 . Management models and industrial applications of linear programming , New York : Wiley .
   Google Scholar
• Dai , L , Fun , L and Sun , L . 2003 . Aggregate production planning utilizing a fuzzy linear programming . Journal of Integrated Design & Process Science , 7 ( 4 ) : 81 – 95 .
   Google Scholar
• Dantzig , GB . 1955 . Linear programming under uncertainty . Management Science , 1 ( 3–4 ) : 197 – 206 .
   Web of Science ®Google Scholar
• Fung , RYK , Tang , J and Wang , D . 2003 . Multiproduct aggregate production planning with fuzzy demands and fuzzy capacities . IEEE Transactions on Systems, Man, and Cybernetics – Part A: Systems and Humans , 33 ( 3 ) : 302 – 313 .
   Web of Science ®Google Scholar
• Gen , M , Tsujimura , Y and Ida , K . 1992 . Method for solving multi objective aggregate production planning problem with fuzzy parameters . Computers & Industrial Engineering , 23 ( 1–4 ) : 117 – 120 .
   Web of Science ®Google Scholar
• Gomes da Silva , C . 2006 . An interactive decision support system for an aggregate production planning model based on multiple criteria mixed integer linear programming . Omega , 34 ( 2 ) : 167 – 177 .
   Web of Science ®Google Scholar
• Holt , CC , Modigliani , F and Simmon , HA . 1955 . A linear decision rule for production and employment scheduling . Management Science , 2 ( 1 ) : 1 – 30 .
   Google Scholar
• Jain , A and Palekar , US . 2005 . Aggregate production planning for a continuous reconfigurable manufacturing process . Computers & Operations Research , 32 ( 5 ) : 1213 – 1236 .
   Web of Science ®Google Scholar
• Jamalnia , A and Soukhakian , MA . 2009 . A hybrid fuzzy goal programming approach with different goal priorities to aggregate production planning . Computers & Industrial Engineering , 56 ( 4 ) : 1474 – 1486 .
   Web of Science ®Google Scholar
• Jones , C . 1967 . Parametric production planning . Management Science , 13 ( 11 ) : 843 – 866 .
   Google Scholar
• Kaufmann , A . 1975 . Introduction to the theory of fuzzy subsets , Vol. 1 , New York : Academic Press .
   Google Scholar
• Klir , G and Yuan , B . 2002 . Fuzzy sets theory and fuzzy logic: theory and application , Taiwan : Pearson Education .
   Google Scholar
• Krajewski , LJ , Ritzman , LP and Malhotra , MK . 2007 . Operation management: processes and value chains , New Jersey : Prentice Hall .
   Google Scholar
• Lai , YJ and Hwang , CL . 1992 . Fuzzy mathematical programming: methods and applications , Berlin : Springer .
   Google Scholar
• Lee , YY . 1990 . Fuzzy set theory approach to aggregate production planning and inventory control , Dissertation (PhD). Department of I.E., Kansas State University .
   Google Scholar
• Leung , SCH , Wu , Y and Lai , KK . 2006 . A stochastic programming approach for multi-site aggregate production planning . Journal of the Operational Research Society , 57 ( 2 ) : 123 – 132 .
   Web of Science ®Google Scholar
• Leung , SCH and Chan , SSW . 2009 . A goal programming model for aggregate production planning with resource utilization constraint . Computers & Industrial Engineering , 56 ( 3 ) : 1053 – 1064 .
   Web of Science ®Google Scholar
• LINDO Systems . 1999 . Lingo user's guide , Chicago, IL : LINDO Systems .
   Google Scholar
• Masud , ASM and Hwang , CL . 1980 . An aggregate production planning model and application of three multiple objective decision methods . International Journal of Production Research , 18 ( 6 ) : 741 – 752 .
   Web of Science ®Google Scholar
• Mula , J . 2006 . Models for production planning under uncertainty: a review . International Journal of Production Economics , 103 ( 1 ) : 271 – 285 .
   Web of Science ®Google Scholar
• Nam , SJ and Logendran , R . 1992 . Aggregate production planning – a survey of models and methodologies . European Journal of Operational Research , 61 ( 3 ) : 255 – 272 .
   Web of Science ®Google Scholar
• Rinks , DB . 1982 . “ The performance of fuzzy algorithm models for aggregate planning and different cost structure ” . In Approximate reasoning in decision analysis , Edited by: Gupta , MM and Sachez , MM . 267 – 278 . Amsterdam : North-Holland .
   Google Scholar
• Rommelfanger , H . 1996 . Fuzzy linear programming and applications . European Journal of Operational Research , 92 ( 3 ) : 512 – 527 .
   Web of Science ®Google Scholar
• Saad , G . 1982 . An overview of production planning model: structure classification and empirical assessment . International Journal of Production Research , 20 ( 1 ) : 105 – 114 .
   Web of Science ®Google Scholar
• Sakawa , M , Nishizaki , I and Uemura , Y . 2001 . Interactive fuzzy programming for two-level linear and linear fractional production assignment problems: a case study . European Journal of Operational Research , 135 ( 1 ) : 142 – 157 .
   Web of Science ®Google Scholar
• Singhvi , A and Shenoy , UV . 2002 . Aggregate planning in supply chains by pinch analysis . Chemical Engineering Research and Design , 80 ( 6 ) : 597 – 605 .
   Web of Science ®Google Scholar
• Stevenson , WJ . 2002 . Operations management, , 7th , New York : McGraw-Hill .
   Google Scholar
• Tang , J , Wang , D and Fang , RYK . 2000 . Fuzzy formulation for multi-product aggregate production planning . Production Planning and Control , 11 ( 7 ) : 670 – 676 .
   Web of Science ®Google Scholar
• Tang , J , Fung , RYK and Yung , KL . 2003 . Fuzzy modelling and simulation for aggregate production planning . International Journal of Systems Science , 34 ( 12 ) : 661 – 673 .
   Web of Science ®Google Scholar
• Taubert , WH . 1968 . A search decision rule for the aggregate scheduling problem . Management Science , 14 ( 6 ) : 343 – 359 .
   Web of Science ®Google Scholar
• Wang , RC and Fang , HH . 2000 . Aggregate production planning in a fuzzy environment . International Journal of Industrial Engineering , 7 ( 1 ) : 5 – 14 .
   Google Scholar
• Wang , RC and Fang , HH . 2001 . Aggregate production planning with multiple objectives in a fuzzy environment . European Journal of Operational Research , 133 ( 3 ) : 521 – 536 .
   Web of Science ®Google Scholar
• Wang , RC and Liang , TF . 2004 . Application of multi-objective linear programming to aggregate production planning . Computers and Industrial Engineering , 46 ( 1 ) : 17 – 41 .
   Web of Science ®Google Scholar
• Wang , RC and Liang , TF . 2005 . Applying possibilistic linear programming to aggregate production planning . International Journal of Production Economics , 98 ( 3 ) : 328 – 341 .
   Web of Science ®Google Scholar
• Yager , RR . 1986 . A characterization of the extension principle . Fuzzy Sets and Systems , 18 ( 3 ) : 205 – 217 .
   Web of Science ®Google Scholar
• Zadeh , LA . 1965 . Fuzzy sets . Information and Control , 8 ( 3 ) : 338 – 353 .
   Google Scholar
• Zadeh , LA . 1978 . Fuzzy sets as a basis for a theory of possibility . Fuzzy Sets and Systems , 1 ( 1 ) : 3 – 28 .
   Google Scholar
• Zimmermann , HJ . 1976 . Description and optimization of fuzzy systems . International Journal of General Systems , 2 ( 1 ) : 209 – 216 .
   Google Scholar
• Zimmermann , HJ . 2001 . Fuzzy sets theory and its applications, , 4th , Boston, MA : Kluwer-Nijhoff .
   Google Scholar