Production Plan and Technological Variants Optimization by Goal Programming Methods
In this paper, the goal programming methodology for
solving multiple objective problem of the technological variants and
production plan optimization has been applied. The optimization
criteria are determined and the multiple objective linear programming
model for solving a problem of the technological variants and
production plan optimization is formed and solved. Then the obtained
results are analysed. The obtained results point out to the possibility
of efficient application of the goal programming methodology in
solving the problem of the technological variants and production plan
optimization. The paper points out on the advantages of the
application of the goal programming methodology compare to the
Surrogat Worth Trade-off method in solving this problem.
[1] C. L. Hwang and A.S.M. Masud, Multiple Objective Decision Making:
Methods and Applications, Springer Verlag, New York, 1979.
[2] A. Charnes and W.W. Cooper, “Management Models and Industrial
Applications of Linear Programming”, Vol. I, Wiley, New York, 1961,
http://dx.doi.org/10.1016/0305-0483(80)90047-X.
[3] Y. Ijiry, Management Goals and Accounting for control, North Holland,
New York, 1965.
[4] S. M. Lee, Goal Programming for Decision Analysis, Auerbach
Publishers, Philadelphia, Pennsylvania, 1972.
[5] J. P. Ignizio, Goal Programming and Extensions, Lexington Books,
Massachusetts, 1976.
[6] W. T. Lin, “A Survey of Goal Programming Applications”, Omega, Vol.
8, 1980, pp. 115-117.
[7] U. C. Orumie, and D. A. Ebong, “Glorious Literature on Linear Goal
Programming Algorithms”, American Journal of Operations Research
Vol. 4, 2014, pp. 59-71. http://dx.doi.org/10.4236/ajor.2014.42007
[8] H. R. Mohamed, “The relationship between goal programming and
fuzzy programming”, Fuzzy Sets and Systems, Vol. 89, 1997, pp. 215-
222.
[9] T. Perić, and Z. Babić, “Financial structure optimization by using a goal
programming approach”, Croatian Operational Research Review, Vol. 3,
2012, pp. 150-162.
[10] T. Perić, and Z. Babić, “Determining Optimal Production Plan by
Revised Surrogate Worth Trade-off Method”, In: Proceedings of World
Academy of Science, Engineering and Technology, Vol. 30, 2008, 941-
950.
[11] H. J. Zimmermann, “Applications of Fuzzy Sets Theory to Mathematical
Programming”, Information Science, Vol. 35, 1985, pp. 29-58.
[12] H. J. Zimmermann, “Fuzzy Programming and Linear Programming with
Several Objective Functions”, Fuzzy Sets and Systems, Vol. 1, 1978, pp.
45-55.
[13] J. Matejaš, and T. Perić, “A new iterative method for solving
multiobjective linear programming problem”, Applied Mathematics and
Computation, Vol. 243, 2014, pp. 746–754.
[1] C. L. Hwang and A.S.M. Masud, Multiple Objective Decision Making:
Methods and Applications, Springer Verlag, New York, 1979.
[2] A. Charnes and W.W. Cooper, “Management Models and Industrial
Applications of Linear Programming”, Vol. I, Wiley, New York, 1961,
http://dx.doi.org/10.1016/0305-0483(80)90047-X.
[3] Y. Ijiry, Management Goals and Accounting for control, North Holland,
New York, 1965.
[4] S. M. Lee, Goal Programming for Decision Analysis, Auerbach
Publishers, Philadelphia, Pennsylvania, 1972.
[5] J. P. Ignizio, Goal Programming and Extensions, Lexington Books,
Massachusetts, 1976.
[6] W. T. Lin, “A Survey of Goal Programming Applications”, Omega, Vol.
8, 1980, pp. 115-117.
[7] U. C. Orumie, and D. A. Ebong, “Glorious Literature on Linear Goal
Programming Algorithms”, American Journal of Operations Research
Vol. 4, 2014, pp. 59-71. http://dx.doi.org/10.4236/ajor.2014.42007
[8] H. R. Mohamed, “The relationship between goal programming and
fuzzy programming”, Fuzzy Sets and Systems, Vol. 89, 1997, pp. 215-
222.
[9] T. Perić, and Z. Babić, “Financial structure optimization by using a goal
programming approach”, Croatian Operational Research Review, Vol. 3,
2012, pp. 150-162.
[10] T. Perić, and Z. Babić, “Determining Optimal Production Plan by
Revised Surrogate Worth Trade-off Method”, In: Proceedings of World
Academy of Science, Engineering and Technology, Vol. 30, 2008, 941-
950.
[11] H. J. Zimmermann, “Applications of Fuzzy Sets Theory to Mathematical
Programming”, Information Science, Vol. 35, 1985, pp. 29-58.
[12] H. J. Zimmermann, “Fuzzy Programming and Linear Programming with
Several Objective Functions”, Fuzzy Sets and Systems, Vol. 1, 1978, pp.
45-55.
[13] J. Matejaš, and T. Perić, “A new iterative method for solving
multiobjective linear programming problem”, Applied Mathematics and
Computation, Vol. 243, 2014, pp. 746–754.
@article{"International Journal of Business, Human and Social Sciences:70280", author = "Tunjo Perić and Franjo Bratić", title = "Production Plan and Technological Variants Optimization by Goal Programming Methods", abstract = "In this paper, the goal programming methodology for
solving multiple objective problem of the technological variants and
production plan optimization has been applied. The optimization
criteria are determined and the multiple objective linear programming
model for solving a problem of the technological variants and
production plan optimization is formed and solved. Then the obtained
results are analysed. The obtained results point out to the possibility
of efficient application of the goal programming methodology in
solving the problem of the technological variants and production plan
optimization. The paper points out on the advantages of the
application of the goal programming methodology compare to the
Surrogat Worth Trade-off method in solving this problem.", keywords = "Goal programming, multi objective programming,
production plan, SWT method, technological variants.", volume = "9", number = "6", pages = "1952-7", }