Skip to main content
SpringerLink
Log in

An interactive fuzzy goal programming approach for multi-period multi-product production planning problem

  • Original Article
  • Published:
Fuzzy Information and Engineering

Abstract

This study addresses an interactive multiple fuzzy goal programming (FGP) approach to the multi-period multi-product (MPMP) production planning problem in an imprecise environment. The proposed model attempts to simultaneously minimize total production costs, rates of changes in labor levels, and maximizing machine utilization, while considering individual production routes of parts, inventory levels, labor levels, machine capacity, warehouse space, and the time value of money. Piecewise linear membership functions are utilized to represent decision maker’s (DM’s) overall satisfaction levels. A numerical example demonstrates the feasibility of applying the proposed model to the MPMP problem. Furthermore, the proposed interactive approach facilitates the DM with a systematic framework of decision making process which enables DM to modify the search direction to reach the most satisfactory results during solving process.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Shi Y, Hasse C (1996) Optimal trade-offs of aggregate production planning with multiple objective and multi-capacity demand levels. International Journal of Operations and Quantitative Management 2(2): 127–143

    Google Scholar 

  2. Holt C C, Modigliani F, Simon H A (1955) Linear decision rule for production and employment scheduling. Management Science 2(1): 1–30

    Article  Google Scholar 

  3. Wang R C, Liang T F (2004) Application of fuzzy multi-objective linear programming to aggregate production planning. Computers and Industrial Engineering 46(1): 17–41

    Article  Google Scholar 

  4. Zadeh L A (1965) Fuzzy sets. Information and Control 8(1): 338–353

    Article  MATH  MathSciNet  Google Scholar 

  5. Bellman R E, Zadeh L A (1970) Decision making in a fuzzy environment. Management Science 17(4): 141–164

    Article  MathSciNet  Google Scholar 

  6. Wang R C, Fang H H (2001) Aggregate production planning with multiple objectives in a fuzzy environment. European Journal of Operational Research 133(3): 521–536

    Article  MATH  Google Scholar 

  7. Zimmermann H J (1976) Description and optimization of fuzzy sets. International Journal of General Systems 2(4): 209–215

    Article  MATH  Google Scholar 

  8. Zimmermann H J (1978) Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems 1(1): 45–55

    Article  MATH  MathSciNet  Google Scholar 

  9. Narasimhan R (1980) Goal programming in a fuzzy environment. Decision Sciences 11(2): 325–336

    Article  MathSciNet  Google Scholar 

  10. Hannan E L (1981) Linear programming with multiple fuzzy goals. Fuzzy Sets and Systems 6(3): 235–248

    Article  MATH  MathSciNet  Google Scholar 

  11. Leberling H (1981) On finding compromise solutions in multi criteria problems using the fuzzy minoperator. Fuzzy Sets and Systems 6(2): 105–118

    Article  MATH  MathSciNet  Google Scholar 

  12. Luhandjula M K (1982) Compensatory operations in fuzzy programming with multiple objectives. Fuzzy Sets and Systems 8(3): 245–252

    Article  MATH  MathSciNet  Google Scholar 

  13. Chen L H, Tsai F C (2001) Fuzzy goal programming with difference importance and priorities. European Journal of Operational Research 133(3): 548–556

    Article  MATH  Google Scholar 

  14. Chanas S, Kuchta D (2002) Fuzzy goal programming-one notation many meanings. Control and Cybernetics 31(4): 871–890

    MATH  Google Scholar 

  15. Hashemi S M, Ghatee M, Hashemi B (2006) Fuzzy goal programming: complementary slackness conditions and computational schemes. Applied Mathematics and Computation 179(2): 506–522

    Article  MATH  MathSciNet  Google Scholar 

  16. Yaghoubi M A, Tamiz M (2007) A method for solving fuzzy goal programming problems based on MINMAX approach. European Journal of Operational Research 177(3): 1580–1590

    Article  MathSciNet  Google Scholar 

  17. Hop N V (2007) Fuzzy stochastic goal programming problems. European Journal of Operational Research 176(1): 77–86

    Article  MATH  MathSciNet  Google Scholar 

  18. Chang C T (2007) Binary fuzzy goal programming. European Journal of Operational Research 180(1): 29–37

    Article  MATH  MathSciNet  Google Scholar 

  19. Hu C F, Teng C T, Li S Y (2007) A fuzzy goal programming approach to multi-objective optimization problem with priorities. European Journal of Operational Research 176(3): 1319–1333

    Article  MATH  MathSciNet  Google Scholar 

  20. Saad G (1982) An overview of production planning model: Structure classification and empirical assessment. International Journal of Production Research 20(1): 105–114

    Article  Google Scholar 

  21. Bakir M, Byrne D (1998) Stochastic linear optimization of an MPMP production planning model. International Journal of Production Economics 55(1): 87–96

    Article  Google Scholar 

  22. Byrne D, Bakir M (1999) Production planning using a hybrid simulation-analytical approach. International Journal of Production Economics 59(1): 305–311

    Article  Google Scholar 

  23. Kim B, Kim S (2001) Extended model for a hybrid production planning approach. International Journal of Production Economics 73(2): 165–173

    Article  Google Scholar 

  24. Byrne M D, Hossain M M (2005) Production planning: an improved hybrid approach. International Journal of Production Economics 93(94): 225–229

    Article  Google Scholar 

  25. Chen Y K, Lio H C (2003) An investigation on selection of simplified aggregate production planning strategies using MADM approaches. International Journal of Production Research 41(14): 3359–3374

    Article  MATH  Google Scholar 

  26. Noori S, Bagherpour M, Zorriasatine F, Makui A, Parkin R (2008) A new project scheduling approach for improving multi-product multi-period production planning. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 222(11): 1517–1527

    Article  Google Scholar 

  27. Bagherpour M, Zareei A, Noori S, Heydari M (2010) Designing a control mechanism using earned value analysis: an application to production environment. International Journal of Advanced Manufacturing Technology 49(5–8): 419–429

    Article  Google Scholar 

  28. Kazemi Zanjani M, Nourelfath M, Ait-Kadi D (2010) Robust production planning in a manufacturing environment with random yield: a case in sawmill production planning. European Journal of Operational Research 201(3): 882–891

    Article  MATH  Google Scholar 

  29. Rinks D B (1982) The performance of fuzzy algorithm models for aggregate planning and different cost structure. Amesterdom: North-Holland

    Google Scholar 

  30. Gen M, Tsujimura Y, Ida K (1992) Method for solving multi objective aggregate production planning problem with fuzzy parameters. Computers and Industrial Engineering 23(1–4): 117–120

    Article  Google Scholar 

  31. Wnag R C, Fang H H (2000) Aggregate production planning in a fuzzy environment. International Journal of Industrial Engineering/Theory, Applications and Practice 7(1): 5–14

    Google Scholar 

  32. Wnag R C, Fang H H (2001) Aggregate production planning with multiple objectives in a fuzzy environment. European Journal of Operational Research 133(3): 521–536

    Article  Google Scholar 

  33. Dai L, Tsai F C (2003) Aggregate production planning utilizing a fuzzy linear programming. Journal of Integrated Design and Process Science 7(4): 81–95

    Google Scholar 

  34. Jamalnia A, Soukhakian M A (2009) A hybrid fuzzy goal programming approach with different goal priorities to aggregate production planning. Computers and Industrial Engineering 56(4): 1474–1486

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Industrial Engineering, Mazandaran University of Science & Technology, Babol, Iran

    K. Taghizadeh & I. Mahdavi

  2. Department of Industrial Engineering, Iran University of Science & Technology, Tehran, Iran

    M. Bagherpour

Authors
  1. K. Taghizadeh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Bagherpour
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. Mahdavi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to K. Taghizadeh.

About this article

Cite this article

Taghizadeh, K., Bagherpour, M. & Mahdavi, I. An interactive fuzzy goal programming approach for multi-period multi-product production planning problem. Fuzzy Inf. Eng. 3, 393–410 (2011). https://doi.org/10.1007/s12543-011-0094-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12543-011-0094-5

Keywords

Search

Navigation