Modeling and evaluation of single machine flexibility using fuzzy entropy and genetic algorithm based approach

Flexibility has long been recognized as a manufacturing capability that has the potential to impact mainly the competitive position of an organization. The entropy approach, which was extended from information theory, fell in handling problems with incomplete and uncertain data, because it depicts only the stochastic aspects included with measured observations. In order to get a global view, this work proposes a new approach based on fuzzy entropy concept. The development of the fuzzy model results in a set of nonlinear constrained problems to be solved using a metaheuristics method. The applicability of our approach is illustrated through a flexible manufacturing cell. By adopting such framework, both dimensions of uncertainty in system modeling, expressed by stochastic variability and imprecision, can be taken into consideration.

[1]  Refractor Uncertainty , 2001, The Lancet.

[2]  L. Zadeh Discussion: probability theory and fuzzy logic are complementary rather than competitive , 1995 .

[3]  Cengiz Kahraman,et al.  Modeling a flexible manufacturing cell using stochastic Petri nets with fuzzy parameters , 2010, Expert Syst. Appl..

[4]  Kevin Rudd,et al.  The Global Financial Crisis , 2020, European Society.

[5]  Suresh P. Sethi,et al.  Flexibility in manufacturing: A survey , 1990 .

[6]  Vinod Kumar,et al.  Entropic measures of manufacturing flexibility , 1987 .

[7]  Kjell Grønhaug,et al.  Uncertainty, flexibility, and sustained competitive advantage , 2004 .

[8]  An-Yuan Chang,et al.  On the measurement of routing flexibility: A multiple attribute approach , 2007 .

[9]  George Chryssolouris,et al.  Manufacturing Systems: Theory and Practice , 1992 .

[10]  James J. Buckley Fuzzy Probabilities: New Approach and Applications (Studies in Fuzziness and Soft Computing) , 2003 .

[11]  Yannis A. Phillis,et al.  Manufacturing flexibility measurement: a fuzzy logic framework , 1998, IEEE Trans. Robotics Autom..

[12]  J. S. Dugdale,et al.  Entropy And Its Physical Meaning , 1996 .

[13]  James C. Bezdek,et al.  Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.

[14]  D. Tran,et al.  Fuzzy entropy clustering , 2000, Ninth IEEE International Conference on Fuzzy Systems. FUZZ- IEEE 2000 (Cat. No.00CH37063).

[15]  Cengiz Kahraman,et al.  Applications of Fuzzy Sets in Industrial Engineering: A Topical Classification , 2006 .

[16]  David Upton,et al.  What Really Makes Factories Flexible , 1995 .

[17]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[18]  Mark P. Taylor,et al.  The global financial crisis: Causes, threats and opportunities. Introduction and overview , 2009 .

[19]  Yi-Chih Hsieh,et al.  An approach to the measurement of single-machine flexibility , 2001 .

[20]  Colin L. Moodie,et al.  Definition and Classification of Manufacturing Flexibility Types and Measures , 1998 .

[21]  L. Zadeh Probability measures of Fuzzy events , 1968 .

[22]  Ying Sun,et al.  A novel fuzzy entropy approach to image enhancement and thresholding , 1999, Signal Process..

[23]  Da Ruan,et al.  Measuring flexibility of computer integrated manufacturing systems using fuzzy cash flow analysis , 2004, Inf. Sci..

[24]  Ronald R. Yager,et al.  A procedure for ordering fuzzy subsets of the unit interval , 1981, Inf. Sci..

[25]  Tobias J. Hagge,et al.  Physics , 1929, Nature.

[26]  George Chryssolouris,et al.  Flexibility and Its Measurement , 1996 .

[27]  Marcello Braglia,et al.  Towards a taxonomy of search patterns of manufacturing flexibility in small and medium-sized firms , 2000 .

[28]  Yannis A. Phillis,et al.  Fuzzy assessment of machine flexibility , 1998 .

[29]  An-Yuan Chang,et al.  An attribute approach to the measurement of machine-group flexibility , 2009, Eur. J. Oper. Res..

[30]  Manoj K. Malhotra,et al.  Trade-offs among the elements of flexibility: a comparison from the automotive industry , 2000 .

[31]  A. Raturi,et al.  Sources of volume flexibility and their impact on performance , 2002 .

[32]  R. Pieters,et al.  Working Paper , 1994 .

[33]  Colin L. Moodie,et al.  A framework for classifying flexibility types in manufacturing , 1997 .

[34]  Pankaj Chandra,et al.  Models for the evaluation of routing and machine flexibility , 1992 .

[35]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..

[36]  S. Riaz,et al.  The Global Financial Crisis: An Institutional Theory Analysis , 2009 .

[37]  Nazirah Ramli,et al.  A COMPARATIVE ANALYSIS OF CENTROID METHODS IN RANKING FUZZY NUMBERS , 2009 .

[38]  Michel Gendreau,et al.  Handbook of Metaheuristics , 2010 .

[39]  H. Correa Linking Flexibility, Uncertainty and Variability in Manufacturing Systems: Managing Un-Planned Change in the Automative Industry , 1994 .

[40]  James J. Buckley,et al.  Fuzzy Probabilities : New Approach and Applications , 2005 .

[41]  George J. Klir,et al.  Fuzzy sets and fuzzy logic - theory and applications , 1995 .

[42]  David D. Yao,et al.  Material and information flows in flexible manufacturing systems , 1985 .

[43]  Seyed Hadi Nasseri,et al.  Ranking Fuzzy Numbers by Using Radius of Gyration , 2010 .