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Original Articles

A layout design heuristic employing the theory of fuzzy sets

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Pages 1431-1450 | Received 01 Mar 1987, Published online: 22 Oct 2007

References

  • ARMOUR , G. C. , and BUFFA , E. S. , 1963 , A heuristic algorithm and simulation approach to the relative locations of facilities . Management Science , 9 , 294 .
  • BAZARAA , M. S. , and ELSHAFEI , A. N. , 1979 , An exact branch-and-bound procedure for quadratic assignment problems . Naval Research Logistics Quarterly , 26 , 109 .
  • BAZARAA , M. S. , and SHERALI , H. D. , 1980 , Bender's partitioning scheme applied to a new formulation of the quadratic assignment problem . Naval Research Logistics Quarterly , 27 , 29 .
  • BURKARD , R. E. , 1984 , Some recent advances in quadratic assignment problems . Mathematical Programming , edited by R. W. Cottle et al , ( Amsterdam North Holland ).
  • CHRISTOFIDES , N. , and GERRARD , M. , 1976 , Special cases of the quadratic assignment problem , Management Sciences Research Report No. 391 , Carnegie Mellon University , Pittsburgh , U.S.A.
  • DUBOIS , D. , and PRADE , H. , 1980 , Fuzzy Sets and Systems Theory and Applications ( New York Academic Press ).
  • FOULDS , L. R. , 1983 , Techniques for facilities layout; deciding which pairs of activities should be adjacent . Management Science , 29 , 1414 .
  • FOULDS , L. R. , and ROBINSON , D. F. , 1978 , Graph theoretic heuristics for the plant layout problem . International Journal of Production Research , 16 , 27 .
  • FREELINO , A. N. S. , 1980 , Fuzzy sets and decision analysis . IEEE Transactions on System, Man. and Cybernetics , 10 , 341 .
  • GAVETT , J. W. , and PLYTER , N. V. , 1966 , The optimal assignment of facilities to locations by branch and bound . Operations Research , 14 , 210 .
  • GRAVES , G. W. , and WHINSTON , A. B. , 1970 , An algorithm for the quadratic assignment problem . Management Science , 17 , 453 .
  • GREEN , R. H. , and AL-HAKIM , L. , 1985 , A heuristic for facilities layout planning . Omega , 13 , 469 .
  • HANAN , M. , and KURTZBERQ , J. M. , 1972, A review of the placement and quadratic assignment problem. SI AM Review , 14, 324.
  • HILLIER , F. S. , 1963 , Quantitative tools for plant layout analysis . Journal of Industrial Engineering , 14 , 33 .
  • HILLIER , F. S. , and CONNORS , M. M. , 1966 , Quadratic assignment problem algorithms and the location of indivisible facilities . Management Science , 13 , 42 .
  • KARWOWSKI , W. , and EVANS , G. W. , 1986 , Fuzzy concepts in production management research-a review . International Journal of Production Research , 24 , 129 .
  • KARWOWRKT , W. and MITAL , A. , 1986a , Applications of Fuzzy Set Theory in Human Factors ( Amsterdam Klsevier ).
  • KARWOWSKI , W. and MITAL , A. , 1986 b , Potential applications of fuzzy sets in industrial safety engineering . Fuzzy Sets and Systems , 19 , 105 .
  • KAUFMANN , A. , 1975 , Introduction to the Theory of Fuzzy Subsets, Volume I ( New York Academic Press ).
  • KAUFMANN , L. , and BROECKX , F. , 1978 , An Algorithm for the quadratic assignment problem using Benders' decomposition . European Journal of Operations Research , 2 , 204 .
  • KICKERT , W. J. M. , 1978 , Fuzzy Theories on Decision Making ( Hingham , MA Kluwer Boston Inc . ).
  • KIRKPATRICK , S. , GELATT , C. D. , and VECCHI , M. P. , 1983 , Optimization by simulated annealing . Science , 220 , 671 .
  • KREJCIRIK , M. , 1969 , Computer aided plant layout . Computer Aided Design , 2 , 7 .
  • LAWLER , E. L. , 1963 , The quadratic assignment problem . Management Science , 9 , 586 .
  • LEE , R. C. , and MOORE , J. M. , 1967 , CORELAP-computerized relationship layout planning . Journal of Industrial Engineering , 18 , 194 .
  • LEUNG , Y. , 1982 , Approximate characterization of some fundamental concepts of spatial analysis . Geographical Analysis , 14 , 29 .
  • LEVIN , P. H. , 1964 , Use of graphs to decide optimum layout of buildings . The Architects Journal , 7 , 908 .
  • LIGGETT , R. S. , 1981 , The quadratic assignment problem an experimental evaluation of solution strategies . Management Science , 27 , 442 .
  • MOORE , J. M. , 1976 , Facilities design with graph theory and strings . Omega , 4 , 193 .
  • NATH , A. K. , and LEE , T. T. , 1983 , On the design of a classifier with linguistic variables as inputs . Fuzzy Sets and Systems , 11 , 265 .
  • NUGENT , C. E. , VOLLMAN , R. E. , and RUML , J. , 1968 , An experimental comparison of techniques for the assignment of facilities to locations . Operations Research , 16 , 150 .
  • OGUNTADE , O. O. , and GERO , J. S. , 1981 , Evaluation of architectural design profiles using fuzzy sets . Fuzzy Sets and Systems , 5 , 221 .
  • PARKER , G. R. , and RARDIN , R. L. , 1982 , An overview of complexity theory in discrete optimization, Part I concepts . IIE Transactions , 14 , 3 .
  • PICONE , C. J. , and WILHELM , W. B. , 1984 , A perturbation scheme to improve Hillier's solution to the facilities layout problem . Management Sciences , 30 , 1238 .
  • PIERCE , J. F. , and CROWSTON , W. B. , 1971 , Tree search algorithms for the quadratic assignment problem . Naval Research Logistics Quarterly , 18 , 1 .
  • SAHNI , S. ,GONZALEZ, 1976 , P-complete approximation problems . Journal of the Association of Computing Machinery , 23 , 555 .
  • SEEHOF , J. M. , and EVANS , W. O. , 1967 , Automated layout design program . Journal of Industrial Engineering , 18 , 690 .
  • SEEPANEN , J. , and MOORE , J. M. , 1970 , Facilities planning with graph theory . Management Science , 17 , B242 .
  • TOMPKINS , J. A. , and WHITE , J. A. , 1984 , Facilities Planning ( New York John Wiley and Sons ).
  • WILHELM , M. R. , and WARD , T. L. , 1987 , Solving quadratic assignment problems by simulated annealing . IIE Transactions , 19 , 107 .
  • WILHELM , M. R. , WARD , T. L. , RANKIN , R. A. , GUPTA , R. , and DUTTON , R. , 1985 , Innovative improvement procedures for solving quadratic assignment problems . Computerized Facilities Planning , edited by H. L. Hales ( Norcross , GA Industrial Engineering and Management Press ).
  • ZADEH , L. A. , 1965 , Fuzzy sets . Information and Control , 8 , 338 .
  • ZADEH , L. A. , 1973, Outline of a new approach to the analysis of complex systems and decision processes. IEEE Transactions on Systems, Man, and Cybernetics , 3, 28.
  • ZADEH , L. A. , 1975 , The concept of linguistic variable and its application to approximate reasoning . Information Sciences , I , 8 .
  • ZADEH , L. A. , 1978 , Fuzzy sets as a basis for a theory of possibility . Fuzzy Sets and Systems , 1 , 3 .
  • ZIMMERMANN , H. J. , 1978 , Fuzzy programming and linear programming with several objective functions . Fuzzy Sets and Systems , 1 , 45 .

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