Skip to main content
SpringerLink
Log in

Extended Goal Programming Approach with Interval Data Uncertainty for Resource Allocation in Farm Planning: A Case Study

  • Conference paper
ICT and Critical Infrastructure: Proceedings of the 48th Annual Convention of Computer Society of India- Vol I

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 248))

Abstract

This paper presents an extended version of goal programming (GP) approach for modeling and solving farm planning problems having objectives with interval parameter sets by utilizing farming resources in the planning horizon. In the model formulation of the problem, the defined goals with interval parameters are converted into conventional goals by using interval arithmetic technique in interval programming and introducing under- and over-deviational variables to each of them. In the decision process, extended GP (EGP) approach, i.e. convex combination of both the modelling aspects, minsum GP and minmax GP are addressed in the achievement function for minimizing the possible regret towards goal achievement from the optimistic point of view in the inexact decision making environment. The potential use of the approach is demonstrated via a case example.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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. Heady, E.O.: Simplified Presentation and Logical Aspects of Linear Programming Technique. J. Farm Econ. 36, 1035–1048 (1954)

    Article  Google Scholar 

  2. Nix, J.: Farm Management - the State of the Art (or Science). J. Agri. Eco. 30, 277–292 (1979)

    Article  Google Scholar 

  3. Ignizio, J.P.: Goal Programming and Extensions, Lexington, D.C. Health, Massachusetts (1976)

    Google Scholar 

  4. Simon, H.A.: Administrative Behavior. Free Press, New York (1957)

    Google Scholar 

  5. Wheeler, B.M., Russell, J.R.M.: Goal Programming and Agricultural Planning. Oper. Res. Quar. 28, 21–32 (1977)

    Article  Google Scholar 

  6. 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 

  7. Zimmermann, H.-J.: Fuzzy Sets, Decision Making and Expert Systems. Kluwer-Nijhoff Publishing, Dordrecht (1987)

    Google Scholar 

  8. Pal, B.B., Moitra, B.N., Maulik, U.: A Goal Programming Procedure for Fuzzy Multiobjective Linear Fractional Programming Problem. Fuzzy Sets and Systs. 139, 395–405 (2003)

    Google Scholar 

  9. Biswas, A., Pal, B.B.: Application of Fuzzy Goal Programming Technique to Land use Planning in Agricultural System. Omega 33, 391–398 (2005)

    Article  Google Scholar 

  10. Pal, B.B., Kumar, M., Sen, S.: A Linear Fuzzy Goal Programming Approach for Solving Patrol Manpower Deployment Planning Problems -A Case Study, pp. 244–249. IEEE Xplore Digital Library (2009)

    Google Scholar 

  11. Pal, B.B., Kumar, M.: A Linear Fuzzy Goal Programming Method for Solving Optimal Power Generation and Dispatch Problem. Int. J. Adv. Comp. Res. 3, 56–64 (2013)

    Google Scholar 

  12. Bitran, G.R.: Linear Multiobjective Problems with Interval Coefficients. Manag. Sci. 26, 694–706 (1980)

    Article  MathSciNet  MATH  Google Scholar 

  13. Jiang, C., Han, X., Liu, G.R., Liu, G.P.: A Nonlinear Interval Number Programming Method for Uncertain Optimization Problems. Euro. J. Oper. Res. 188, 1–13 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  14. Inuiguchi, M., Kume, Y.: Goal Programming Problems with Interval Coefficients and Target Intervals. Euro. J. Oper. Res. 52, 345–361 (1991)

    Article  MATH  Google Scholar 

  15. Oliviera, C., Antunes, C.H.: Multiple Objective Linear Programming Models with Interval Coefficients - An Illustrated Overview. Euro. J. Oper. Res. 118, 1434–1463 (2007)

    Article  Google Scholar 

  16. Pal, B.B., Kumar, M., Sen, S.: A Priority - Based Goal Programming Method for Solving Academic Personnel Planning Problems with Interval - Valued Resource Goals in University Management System. Int. J. Appl. Manag. Sci. 4, 284–312 (2012)

    Article  Google Scholar 

  17. Moore, R.E.: Interval Analysis. Prentice-Hall, New Jersey (1966)

    Google Scholar 

  18. Romero, C.: A General Structure of Achievement Function for a Goal Programming Model. Euro. J. Oper. Res. 153, 675–686 (2004)

    Article  MATH  Google Scholar 

  19. Romero, C.: Handbook of Critical Issues in Goal Programming. Pergamon Press, Oxford (1991)

    Google Scholar 

  20. District Statistical Hand Book, Burdwan. Department of Bureau of Applied Economics and Statistics. Govt. of West Bengal, India (2011)

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  23. http://bardhaman.nic.in/agri/agriculture.htm

Download references

Author information

Authors and Affiliations

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

    Bijay Baran Pal

  2. Department of Mathematics, Alipurduar College, Alipurduar Court, 736122, West Bengal, India

    Mousumi Kumar

Authors
  1. Bijay Baran Pal
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mousumi Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Bijay Baran Pal .

Editor information

Editors and Affiliations

  1. Dept. of Computer Science and Engineering, Anil Neerukonda Institute of Technology and Sciences, Vishakapatnam, India

    Suresh Chandra Satapathy

  2. College of Engineering(A), Andhra University, Vishakapatnam, India

    P. S. Avadhani

  3. University of Hyderabad, Hyderabad, India

    Siba K. Udgata

  4. CSIR-National Institute of Oceanography, Visakhapatnam, India

    Sadasivuni Lakshminarayana

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Pal, B.B., Kumar, M. (2014). Extended Goal Programming Approach with Interval Data Uncertainty for Resource Allocation in Farm Planning: A Case Study. In: Satapathy, S., Avadhani, P., Udgata, S., Lakshminarayana, S. (eds) ICT and Critical Infrastructure: Proceedings of the 48th Annual Convention of Computer Society of India- Vol I. Advances in Intelligent Systems and Computing, vol 248. Springer, Cham. https://doi.org/10.1007/978-3-319-03107-1_70

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-03107-1_70

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03106-4

  • Online ISBN: 978-3-319-03107-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation