Metamodels in manufacturing: a review

Abstract Simulation is frequently used in design of manufacturing systems. Traditionally it is used to design individual production shops or cells, but manufacturers are becoming aware that the major gains in competitiveness made necessary by the growing challenge of global markets, are available only from integrated design of entire factories. In this context simulation models become unwieldy. Meanwhile metamodelling techniques have been maturing, and may provide a more versatile extension to simulation, and deeper insight into modelled systems. Further, the relative computational simplicity of metamodels offers the prospect of practically modelling more extensive systems. This paper reviews the published development of metamodelling techniques, with particular emphasis on their relevance to manufacturing.

[1]  Lee W. Schruben,et al.  Optimal Tests for Initialization Bias in Simulation Output , 1983, Oper. Res..

[2]  Gene B. Goldstein,et al.  Repro-Modeling Applied to the Simplification of TARADCOM Computer Models , 1976 .

[3]  Averill M. Law,et al.  Feature Article - Statistical Analysis of Simulation Output Data , 1983, Oper. Res..

[4]  Jack P. C. Kleijnen,et al.  Regression Estimation in Simulation , 1980 .

[5]  Linda Weiser Friedman,et al.  Design and analysis of multivariate response simulations: the state of the art , 1987 .

[6]  Jack P. C. Kleijnen,et al.  A Comment on Blanning's “Metamodel for Sensitivity Analysis: The Regression Metamodel in Simulation” , 1975 .

[7]  Christian N. Madu Simulation in manufacturing: A regression metamodel approach , 1990 .

[8]  Joseph Sarkis,et al.  A metamodel-based decision support system for shop floor production control , 1992 .

[9]  J. A. Buzacott,et al.  Flexible manufacturing systems: a review of analytical models , 1986 .

[10]  Raymond H. Myers,et al.  Combining regression diagnostics with simulation metamodels , 1994 .

[11]  Li Lin,et al.  Metamodels of production line transient behaviour for sudden machine breakdowns , 1990 .

[12]  James R. Wilson,et al.  Estimation of multiresponse simulation metamodels using control variates , 1989 .

[13]  Jack P. C. Kleijnen,et al.  Techniques for sensitivity analysis of simulation models: A case study of the CO2 greenhouse effect , 1992, Simul..

[14]  P. Starr Integration of simulation and analytical submodels for supporting manufacturing decisions , 1991 .

[15]  Bennett L. Fox Estimation and Simulation , 1978 .

[16]  Peter J. Kolesar,et al.  Using Simulation to Develop and Validate Analytic Models: Some Case Studies , 1978, Oper. Res..

[17]  Pandu R. Tadikamalla,et al.  Output maximization of a CIM system: simulation and statistical approach , 1993 .

[18]  Jack P. C. Kleijnen,et al.  Experimental design and regression analysis in simulation : An FMS case study , 1988 .

[19]  Li Lin,et al.  Assembly line system dynamic behaviour for high priority job order processing , 1992 .

[20]  Arthur M. Geoffrion,et al.  The Purpose of Mathematical Programming is Insight, Not Numbers , 1976 .

[21]  Lee W. Schruben,et al.  Detecting Initialization Bias in Simulation Output , 1982, Oper. Res..

[22]  Jack P. C. Kleijnen,et al.  Simulation and optimization in production planning: A case study , 1993, Decis. Support Syst..

[23]  Hershey H. Friedman,et al.  Validating the simulation metamodel: Some practical approaches , 1985 .

[24]  Linda Weiser Friedman,et al.  The Metamodel in Simulation Analysis: Can It Be Trusted? , 1988 .

[25]  Robert W. Blanning Response to Michel, Kleijnen and Permut , 1975 .

[26]  Robert W. Blanning,et al.  The construction and implementation of metamodels , 1975 .

[27]  William S. Meisel,et al.  Repro-Modeling: An Approach to Efficient Model Utilization and Interpretation , 1973, IEEE Trans. Syst. Man Cybern..

[28]  J. Kleijnen Comparing means and variances of two simulations , 1976 .

[29]  Linda Weiser Friedman The multivariate metamodel in queuing system simulation , 1989 .

[30]  Edward Ignall,et al.  Virtual Measures: A Variance Reduction Technique for Simulation , 1975 .

[31]  Hershey H. Friedman,et al.  Statistical Considerations in Computer Simulation: The State of the Art , 1984 .

[32]  James K. Weeks,et al.  A Simulation Study of Operating Policies in a Hypothetical Dual-Constrained Job Shop , 1976 .

[33]  Jay B. Ghosh Evaluating multiprocessor performance: an exercise in metamodeling , 1988, Simul..

[34]  Michael R. Rose,et al.  Using sensitivity analysis to simplify ecosystem models: a case study , 1978 .

[35]  Jack P. C. Kleijnen,et al.  Generalization of simulation results practicality of statistical methods , 1979 .

[36]  Christian N. Madu,et al.  Group screening and Taguchi design in the optimization of multi-echelon maintenance float simulation metamodels , 1992, Comput. Oper. Res..

[37]  J. Kleijnen Regression metamodels for simulation with common random numbers: comparison of validation tests and confidence intervals , 1992 .

[38]  Henri Pierreval,et al.  Rule-based simulation metamodels , 1992 .

[39]  O. J. Vrieze,et al.  Metamodelling and experimental design: Case study of the greenhouse effect , 1990 .

[40]  Li Lin,et al.  Estimating simulation metamodel parameters for unexpected shop floor real time events , 1990 .

[41]  Jack P. C. Kleijnen Regression Analysis for Simulation Practitioners , 1981 .

[42]  Christian N. Madu,et al.  A regression metamodel of a maintenance float problem with Erlang-2 failure distribution , 1992 .

[43]  James K. Weeks,et al.  A Methodology for Assigning Minimum Cost Due-Dates , 1977 .

[44]  Kenneth W. Bauer,et al.  PCRSM: A decision support system for simulation metamodel construction , 1992, Simul..

[45]  Jack P. C. Kleijnen,et al.  Design and analysis of simulations: practical statistical techniques , 1977 .

[46]  Averill M. Law Statistical Analysis of Simulation Output Data , 1980 .

[47]  Douglas C. Montgomery,et al.  Using common random numbers in simulation experiments — an approach to statistical analysis , 1976 .

[48]  S. Andrew Starbird A Metamodel Specification for a Tomato Processing Plant , 1990 .