A Fuzzy Multi-objective Model for a Machine Selection Problem in a Flexible Manufacturing System
This research presents a fuzzy multi-objective model
for a machine selection problem in a flexible manufacturing system
of a tire company. Two main objectives are minimization of an
average machine error and minimization of the total setup time.
Conventionally, the working team uses trial and error in selecting a
pressing machine for each task due to the complexity and constraints
of the problem. So, both objectives may not satisfy. Moreover, trial
and error takes a lot of time to get the final decision. Therefore, in
this research preemptive fuzzy goal programming model is developed
for solving this multi-objective problem. The proposed model can
obtain the appropriate results that the Decision Making (DM) is
satisfied for both objectives. Besides, alternative choice can be easily
generated by varying the satisfaction level. Additionally, decision
time can be reduced by using the model, which includes all
constraints of the system to generate the solutions. A numerical
example is also illustrated to show the effectiveness of the proposed
model.
[1] F.T.S. Chan and R.Swarnkar, "Ant colony optimization approach to a
fuzzy goal programming model for a machine tool selection and
operation allocation problem in a FMS", Robotics and Computer-
Integrated Manufacturing, vol. 22, 2006, pp.353-362
[2] S.Sujono, R.S.Lashkari, "A multi-objective model of operation
allocation and material handling system selection in FMS design", Int. J.
Production Economics, vol. 105, 2007,pp.116-133.
[3] M.A.Gamila and S. Motavalli, "A modeling technique for loading and
scheduling problem in FMS", Robotics and Computer Integrated
Manufacturing, vol.19, 2003, pp.45-54.
[4] N. Nagarjuna, O. Mahesh and K. Rajagopal, "A heuristic based on
multi-stage programming approach for machine-loading problem in a
flexible manufacturing system", Robotics and Computer-Integrated
Manufacturing, vol.22, 2006, pp.342-352.
[5] F.Guerrero, S. Lozano, T. Koltai and J. Larraneta, "Machine loading and
part selection in flexible manufacturing systems", Int. J.Prod.Res.,
vol.37, no. 6, pp.1303-1317.
[6] A.M.Abazari, M. Solimanpur and H. Sattari, "Optimum loading of
machines in a flexible manufacturing system using a mixed-integer
linear mathematical programming model and generic algorithm",
Computers & Industrial Engineering, xxx, 2011, pp.xxx-xxx.
[7] A.Kamar, Prakash, M.K. Tiwari, R. Shankar and A. Baveja, "Solving
macine-loading problem of a flexible manufacturing system with
constraint-based genetic algorithm", European Journal of Operational
Research, vol.175, 2006, pp.1043-1069.
[8] T. F. Liang, "Integrating production-transportation planning decision
with fuzzy multiple goals in supply chains," International Journal of
Production Research, vol. 46, 2008, pp. 1477-1494.
[9] T. F. Liang, "Interactive multi-objective transportation planning
decisions using fuzzy linear programming," Asia-Pacific Journal of
Operational Research, vol. 25, 2008, pp. 11-31.
[10] H. J. Zimmermann, Fuzzy sets and systems 1. North Holland Publishing
Company, 1978.
[11] H. J. Zimmermann, Fuzzy Set Theory and Its Applications. 2nd ed.
Kluwer Academic Publishers, 1991.
[12] C. Romero, Handbook of Critical Issues in Goal Programming.
Pergamon Press, 1990.
[13] M. Zeleny, Multiple criteria decision making. McGraw-Hill Book
Company, 1982.
[14] J. P. Ignizio, Linear programming in single- & multiple-objective
system. Prentice-Hall, Inc., 1982.
[15] I. Giannikos, "A multiobjective programming model for locating
treatment sites and routing hazardous wastes," European Journal of
Operational Research, vol. 104, 1998, pp. 333-342.
[16] M. T. Tabucanon, Mutiple criteria decision making in industry. Elsevier
Science Publishing Company, Inc., 1988.
[17] A. Charnes and W. W. Cooper, Elements of a Strategy for Making
Models in Linear Programing, in R. Macho et al., Ed. System
Engineering Handbook. New York: McGraw-Hill, 1965.
[18] E. L. Hannan, "On fuzzy goal programming," Decision Sciences, 1981,
pp. 522-531.
[19] Y. J. Li and C. L. Hwang, Fuzzy multiple objective decision making:
Methods and Applications. Springer-Verlag Berlin Heidelberg, 1994.
[20] K. P. Yoon and C. L. Hwang, Multiple attribute decision making: An
introduction. SAGE Publications, 1995.
[1] F.T.S. Chan and R.Swarnkar, "Ant colony optimization approach to a
fuzzy goal programming model for a machine tool selection and
operation allocation problem in a FMS", Robotics and Computer-
Integrated Manufacturing, vol. 22, 2006, pp.353-362
[2] S.Sujono, R.S.Lashkari, "A multi-objective model of operation
allocation and material handling system selection in FMS design", Int. J.
Production Economics, vol. 105, 2007,pp.116-133.
[3] M.A.Gamila and S. Motavalli, "A modeling technique for loading and
scheduling problem in FMS", Robotics and Computer Integrated
Manufacturing, vol.19, 2003, pp.45-54.
[4] N. Nagarjuna, O. Mahesh and K. Rajagopal, "A heuristic based on
multi-stage programming approach for machine-loading problem in a
flexible manufacturing system", Robotics and Computer-Integrated
Manufacturing, vol.22, 2006, pp.342-352.
[5] F.Guerrero, S. Lozano, T. Koltai and J. Larraneta, "Machine loading and
part selection in flexible manufacturing systems", Int. J.Prod.Res.,
vol.37, no. 6, pp.1303-1317.
[6] A.M.Abazari, M. Solimanpur and H. Sattari, "Optimum loading of
machines in a flexible manufacturing system using a mixed-integer
linear mathematical programming model and generic algorithm",
Computers & Industrial Engineering, xxx, 2011, pp.xxx-xxx.
[7] A.Kamar, Prakash, M.K. Tiwari, R. Shankar and A. Baveja, "Solving
macine-loading problem of a flexible manufacturing system with
constraint-based genetic algorithm", European Journal of Operational
Research, vol.175, 2006, pp.1043-1069.
[8] T. F. Liang, "Integrating production-transportation planning decision
with fuzzy multiple goals in supply chains," International Journal of
Production Research, vol. 46, 2008, pp. 1477-1494.
[9] T. F. Liang, "Interactive multi-objective transportation planning
decisions using fuzzy linear programming," Asia-Pacific Journal of
Operational Research, vol. 25, 2008, pp. 11-31.
[10] H. J. Zimmermann, Fuzzy sets and systems 1. North Holland Publishing
Company, 1978.
[11] H. J. Zimmermann, Fuzzy Set Theory and Its Applications. 2nd ed.
Kluwer Academic Publishers, 1991.
[12] C. Romero, Handbook of Critical Issues in Goal Programming.
Pergamon Press, 1990.
[13] M. Zeleny, Multiple criteria decision making. McGraw-Hill Book
Company, 1982.
[14] J. P. Ignizio, Linear programming in single- & multiple-objective
system. Prentice-Hall, Inc., 1982.
[15] I. Giannikos, "A multiobjective programming model for locating
treatment sites and routing hazardous wastes," European Journal of
Operational Research, vol. 104, 1998, pp. 333-342.
[16] M. T. Tabucanon, Mutiple criteria decision making in industry. Elsevier
Science Publishing Company, Inc., 1988.
[17] A. Charnes and W. W. Cooper, Elements of a Strategy for Making
Models in Linear Programing, in R. Macho et al., Ed. System
Engineering Handbook. New York: McGraw-Hill, 1965.
[18] E. L. Hannan, "On fuzzy goal programming," Decision Sciences, 1981,
pp. 522-531.
[19] Y. J. Li and C. L. Hwang, Fuzzy multiple objective decision making:
Methods and Applications. Springer-Verlag Berlin Heidelberg, 1994.
[20] K. P. Yoon and C. L. Hwang, Multiple attribute decision making: An
introduction. SAGE Publications, 1995.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:58727", author = "Phruksaphanrat B.", title = "A Fuzzy Multi-objective Model for a Machine Selection Problem in a Flexible Manufacturing System", abstract = "This research presents a fuzzy multi-objective model
for a machine selection problem in a flexible manufacturing system
of a tire company. Two main objectives are minimization of an
average machine error and minimization of the total setup time.
Conventionally, the working team uses trial and error in selecting a
pressing machine for each task due to the complexity and constraints
of the problem. So, both objectives may not satisfy. Moreover, trial
and error takes a lot of time to get the final decision. Therefore, in
this research preemptive fuzzy goal programming model is developed
for solving this multi-objective problem. The proposed model can
obtain the appropriate results that the Decision Making (DM) is
satisfied for both objectives. Besides, alternative choice can be easily
generated by varying the satisfaction level. Additionally, decision
time can be reduced by using the model, which includes all
constraints of the system to generate the solutions. A numerical
example is also illustrated to show the effectiveness of the proposed
model.", keywords = "Machine Selection, Preemptive Fuzzy Goal
Programming, Mixed Integer Programming, Application of Tire
Industry.", volume = "7", number = "1", pages = "74-8", }
