Skip to main content
SpringerLink
Log in

Using Fuzzy Goal Programming for Long-Term Water Resource Allocation Planning in Agricultural System: A Case Study

  • Conference paper
Book cover Mathematical Modelling and Scientific Computation (ICMMSC 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 283))

Abstract

This paper presents a fuzzy goal programming (FGP) method for modeling and solving farm planning problems for optimal production of several crops by proper allocation of irrigation water in different seasons in a planning year. In the model formulation, the priority based FGP is addressed for achievement of the highest value (unity) of the membership goals defined for the fuzzy goals of the problem to the extent possible on the basis of needs and desires of the decision maker (DM) in the decision making situation.

The case example of the Bardhaman District of West Bengal in India is considered to demonstrate the approach.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Revelle, C., Joeres, E., Kirby, W.: The Linear Decision Rule in Reservoir Management and Design: Development of the Stochastic Model. Water Resources Res. 5, 767–777 (1969)

    Article  Google Scholar 

  2. Askew, A.J.: Chance-Constrained Dynamic Programming and the Optimization of Water Resource Systems. Water Resources Research 10, 1099–1106 (1974)

    Article  Google Scholar 

  3. Slowinski, R., Urbaniak, A., Weglarz, J.: Bicriterion Capacity Expansion Planning of a Water Supply System. Math. Operations Res. 46, 733–744 (1983)

    MATH  Google Scholar 

  4. Slowinski, R.: A Multicriteria Fuzzy Linear Programming Method for Water Supply System Development Planning. Fuzzy Sets Syst. 19, 217–237 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  5. Yeh, W.W.G.: Reservoir Management and Operations Models: A State-of-the-Art Review. Water Resources Res. 21, 1797–1818 (1985)

    Article  Google Scholar 

  6. Wheeler, B.M., Russell, J.R.M.: Goal Programming and Agricultural Planning. Operational Res. Qly. 28, 21–32 (1977)

    Article  Google Scholar 

  7. Nix, J.S.: Farm management: The State-of-the-Art (or Science). Journal of Agricultural Economics 30, 277–292 (1979)

    Article  Google Scholar 

  8. Glen, J.: Mathematical Models in Farm Planning: A Survey. Operations Research 35, 641–666 (1987)

    Article  Google Scholar 

  9. Pal, B.B., Basu, I.: Selection of appropriate priority structure for optimal land allocation in agricultural planning through goal programming. Indian Journal of Agricultural Economics 51, 342–354 (1996)

    Google Scholar 

  10. Panda, S.N., Khepar, S.D., Kausal, M.P.: Interseasonal irrigation system planning for waterlogged sodic soils. J. Irrig. Drain. Engg. ASCE 122(3), 135–144 (1996)

    Article  Google Scholar 

  11. Pal, B.B., Moitra, B.N.: Using Fuzzy Goal Programming for Long Range Production Planning in Agricultural Systems. Indian J. Agricultural Economics 59(1), 75–90 (2004)

    Google Scholar 

  12. Bravo, M., Ganzalez, I.: Applying Stochastic Goal Programming: A case study on water use planning. European J. Operational Res. 196, 1123–1129 (2009)

    Article  MATH  Google Scholar 

  13. Zimmermann, H.-J.: Fuzzy Set Theory and Its Applications, 2nd Revised edn. Kluwer Academic Publishers, Boston (1991)

    Book  MATH  Google Scholar 

  14. Pal, B.B., Moitra, B.N.: A Goal Programming Procedure for Solving Problems with Multiple Fuzzy Goals Using Dynamic Programming. European J. Operational Res. 144(3), 480–491 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  15. Romero, C.: A Survey of Generalized Goal Programming. European J. Operational Res. 25(2), 183–191 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  16. District Statistical Hand Book, Bardhaman. Department of Bureau of Applied Economics and Statistics. Govt. of West Bengal, India (2008)

    Google Scholar 

  17. Economic Review. Department of Bureau of Applied Economics and Statistics. Govt. of West Bengal, India

    Google Scholar 

  18. Basak, R.K.: Soil testing and fertilizer recommendation. Kalyani Publishers, New Delhi (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Kalyani, Kalyani, 741235, West Bengal, India

    Bijay Baran Pal & Durga Banerjee

  2. Department of Agronomy, Bidhan Chandra Krishi Viswavidyalaya, Mohanpur, 741252, West Bengal, India

    Subhendu Bikash Goswami

  3. Department of Mathematics, B.K.C. College, Kolkata, 700108, West Bengal, India

    Shyamal Sen

Authors
  1. Bijay Baran Pal
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Subhendu Bikash Goswami
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shyamal Sen
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Durga Banerjee
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mathematics, Gandhigram Rural University, 624302, Gandhigram, Tamil Nadu, India

    P. Balasubramaniam

  2. Department of Mathematics, Gandhigram Rural Institute - Deemed University, 624302, Gandhigram, Tamil Nadu, India

    R. Uthayakumar

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Pal, B.B., Goswami, S.B., Sen, S., Banerjee, D. (2012). Using Fuzzy Goal Programming for Long-Term Water Resource Allocation Planning in Agricultural System: A Case Study. In: Balasubramaniam, P., Uthayakumar, R. (eds) Mathematical Modelling and Scientific Computation. ICMMSC 2012. Communications in Computer and Information Science, vol 283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28926-2_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-28926-2_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28925-5

  • Online ISBN: 978-3-642-28926-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation