International Journal of Management and Fuzzy Systems

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Modification Goal Programming for Solving Multi-Objective De Novo Programming Problems

Received: 25 October 2019    Accepted: 15 November 2019    Published: 21 November 2019
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Abstract

Many methods can be used to solve multi-objective problems, but not all of them provide truly optimal results because there are still deviations and inefficient use of resources so that they still produce residuals. Resources that are not used in their entirety can reduce the level of optimization in solving multi- objective problems. This happens because we are too forced to solve existing problems rather than redesigning the problem so that it gets satisfactory results. One method that can be used to solve this problem is by using the de novo program. The de novo programming aims to design a more optimal system by expanding resources based on available budgets. The de novo programming changes the function of constraints into form of a budget. This change into one constraint function makes in the feasible solution changes. So it is important to determine the goal for all objectives that have the same importance so that all objectives are achieved at the optimum condition. The objectives of the goals to be achieved must be determined in advance in resolving multi-objective problems. This paper proposes determining the goal objectives using the average concept for objectives that have the same interests. Determination of goals with an averageeachconcept considers the objectives of other goals in determining a goal. Determination of goal objectives using the average concept applied to the goal programming to solve the multi-objective problem of the de novo programming. Solution to the de novo program's multi-objective problem using a modified goal program. The computational results with benchmarking problems show that the proposed method gives satisfactory results and more practical work.

DOI 10.11648/j.ijmfs.20190504.11
Published in International Journal of Management and Fuzzy Systems (Volume 5, Issue 4, December 2019)
Page(s) 64-69
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

De Novo Programming, Multi-Objective Optimization, Goal Programming

References
[1] Z. Babic and I. Pavic, “Multicriterial production programming by program de novo approach,” International Journal of Production Economics, vol. 43, pp. 59-66, April 1992.
[2] S. Banik and D. Bathacarya, “Weigthed goal programming approach for solving multi-ojective de novo programming problems,” IJERCSE, vol. 5, pp. 316-322, February 2018.
[3] T. Chang, “Multi-choise goal programming,”Omega, vol. 35, pp. 389-396, August 2007.
[4] A. Charnes dan W. W. Cooper, Management Model and Industrial Aplication of Linear Programming, Wiley, New York, 1961.
[5] J. P. Ignizio, Introduction to Linear Goal Programming, Sage, Beverly Hills, 1985.
[6] S. M. Lee, Goal Programming for Decision Analysis, Auerbach, Philadelphia, 1972.
[7] R. J. Li and E. S. Lee, “Fuzzy approaches to multicriteria de novo programmings,” Journal of Mathematical Analysis and Aplications, vol. 153, pp. 97-111, July 1989.
[8] B. B. Pal, B. N. Moitra and U. Maulik, “A goal programming procedure for fuzzy multiobjective linear fractional programming problem,” Fuzzy Set and Systems, vol. 139, pp. 395-405, October 2003.
[9] C. Romero, “Extended lexicographic goal programminging: A unifying approach,” Omega, vol. 29, pp. 63-71, February 2001.
[10] M. Tamiz, D. Jones dan C. Romero, “Goal programming for decision making: An overview of the current state-of-the-art”, European Journal of Operational Research, vol. 111, pp. 569-581, December 1998.
[11] N. Umarusman, “Min-max goal programming approach for solving multi-objective programming de novo poblems,”IJOR, vol. 10, pp. 92-99, April 2013.
[12] M. Zeleny, “Optimal system design with multiple criteria: De-novo programming approach”, Engineering Cost and Production Economics, vol. 10, pp. 89-94, 1986.
[13] M. Zeleny, “Optimizing given system vs. designing optimal system: the de novo programming approach,” International Journal of General Systems, vol. 17, pp. 295-307, September 1989.
[14] Y. M. Zhang, G. H. Huang and X. D. Zhang, “Inexact program de novo for water resource systems planing,” European Joirnal of Operation Research, vol. 199, pp. 531-541, December 2009.
[15] Z. Y. Zuang and A. Hocine, “Meta goal programming approach for solving multi-objective program de novo problems” European Journal of Operatian Research, vol. 265, pp. 228-238, July 2017.
Author Information
  • Department of Mathematics, University of Riau, Pekanbaru, Indonesia

  • Department of Mathematics, University of Riau, Pekanbaru, Indonesia

  • Department of Mathematics, University of Riau, Pekanbaru, Indonesia

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  • APA Style

    Febrianto Afli, Ihda Hasbiyati, Moh Danil Hendry Gamal. (2019). Modification Goal Programming for Solving Multi-Objective De Novo Programming Problems. International Journal of Management and Fuzzy Systems, 5(4), 64-69. https://doi.org/10.11648/j.ijmfs.20190504.11

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    ACS Style

    Febrianto Afli; Ihda Hasbiyati; Moh Danil Hendry Gamal. Modification Goal Programming for Solving Multi-Objective De Novo Programming Problems. Int. J. Manag. Fuzzy Syst. 2019, 5(4), 64-69. doi: 10.11648/j.ijmfs.20190504.11

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    AMA Style

    Febrianto Afli, Ihda Hasbiyati, Moh Danil Hendry Gamal. Modification Goal Programming for Solving Multi-Objective De Novo Programming Problems. Int J Manag Fuzzy Syst. 2019;5(4):64-69. doi: 10.11648/j.ijmfs.20190504.11

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  • @article{10.11648/j.ijmfs.20190504.11,
      author = {Febrianto Afli and Ihda Hasbiyati and Moh Danil Hendry Gamal},
      title = {Modification Goal Programming for Solving Multi-Objective De Novo Programming Problems},
      journal = {International Journal of Management and Fuzzy Systems},
      volume = {5},
      number = {4},
      pages = {64-69},
      doi = {10.11648/j.ijmfs.20190504.11},
      url = {https://doi.org/10.11648/j.ijmfs.20190504.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijmfs.20190504.11},
      abstract = {Many methods can be used to solve multi-objective problems, but not all of them provide truly optimal results because there are still deviations and inefficient use of resources so that they still produce residuals. Resources that are not used in their entirety can reduce the level of optimization in solving multi- objective problems. This happens because we are too forced to solve existing problems rather than redesigning the problem so that it gets satisfactory results. One method that can be used to solve this problem is by using the de novo program. The de novo programming aims to design a more optimal system by expanding resources based on available budgets. The de novo programming changes the function of constraints into form of a budget. This change into one constraint function makes in the feasible solution changes. So it is important to determine the goal for all objectives that have the same importance so that all objectives are achieved at the optimum condition. The objectives of the goals to be achieved must be determined in advance in resolving multi-objective problems. This paper proposes determining the goal objectives using the average concept for objectives that have the same interests. Determination of goals with an averageeachconcept considers the objectives of other goals in determining a goal. Determination of goal objectives using the average concept applied to the goal programming to solve the multi-objective problem of the de novo programming. Solution to the de novo program's multi-objective problem using a modified goal program. The computational results with benchmarking problems show that the proposed method gives satisfactory results and more practical work.},
     year = {2019}
    }
    

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  • TY  - JOUR
    T1  - Modification Goal Programming for Solving Multi-Objective De Novo Programming Problems
    AU  - Febrianto Afli
    AU  - Ihda Hasbiyati
    AU  - Moh Danil Hendry Gamal
    Y1  - 2019/11/21
    PY  - 2019
    N1  - https://doi.org/10.11648/j.ijmfs.20190504.11
    DO  - 10.11648/j.ijmfs.20190504.11
    T2  - International Journal of Management and Fuzzy Systems
    JF  - International Journal of Management and Fuzzy Systems
    JO  - International Journal of Management and Fuzzy Systems
    SP  - 64
    EP  - 69
    PB  - Science Publishing Group
    SN  - 2575-4947
    UR  - https://doi.org/10.11648/j.ijmfs.20190504.11
    AB  - Many methods can be used to solve multi-objective problems, but not all of them provide truly optimal results because there are still deviations and inefficient use of resources so that they still produce residuals. Resources that are not used in their entirety can reduce the level of optimization in solving multi- objective problems. This happens because we are too forced to solve existing problems rather than redesigning the problem so that it gets satisfactory results. One method that can be used to solve this problem is by using the de novo program. The de novo programming aims to design a more optimal system by expanding resources based on available budgets. The de novo programming changes the function of constraints into form of a budget. This change into one constraint function makes in the feasible solution changes. So it is important to determine the goal for all objectives that have the same importance so that all objectives are achieved at the optimum condition. The objectives of the goals to be achieved must be determined in advance in resolving multi-objective problems. This paper proposes determining the goal objectives using the average concept for objectives that have the same interests. Determination of goals with an averageeachconcept considers the objectives of other goals in determining a goal. Determination of goal objectives using the average concept applied to the goal programming to solve the multi-objective problem of the de novo programming. Solution to the de novo program's multi-objective problem using a modified goal program. The computational results with benchmarking problems show that the proposed method gives satisfactory results and more practical work.
    VL  - 5
    IS  - 4
    ER  - 

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