Determination of Optimal Cropping Pattern under Uncertainty in Mashhad District: Application of Multi-objective Programming

Subject Areas : Agricultural Economics Research

M. Mardani ¹ , H. Sakhdari ² , M. Saboohi ^{3 *}

1 - دانشجوی کارشناسی ارشد اقتصاد کشاورزی دانشگاه زابل
2 - دانشجوی کارشناسی ارشد اقتصاد کشاورزی دانشگاه زابل
3 - دانشیار اقتصاد کشاورزی دانشگاه زابل

Received: 2015-12-19 Accepted : 2015-12-19 Published : 2011-06-22

Keywords: Multi-Objective Programming, uncertainty, non-inferior set, Mashhad district,

Abstract :

In this paper, optimal cropping pattern under uncertainty were determined for Mashhad district using multi-objective programming. The non-inferior set technique used to solve model. On this basis, the pay-off matrix was calculated to determine objective weights, maximizing total gross income, and minimizing total cost. Optimization with degree of conservative controller parameters was used to impose uncertainty. Needed data were obtained from Jahad-e-Keshavarzi of Mashhad district for the year 2007. The results showed that total cultivation area and gross margin were increased with reduction in uncertainty. On this basis, policies such as insurance and guaranteed price were recommended to reduce uncertainty.  

References:

1. Tourkamani, J. and Sabouhi, M. 2007. Determination of NonInferiorSets With respect to risk in the multi- objective

programming approach: case study, Fasa city farmers. Journal ofScience and Technology of Agriculture and Natural Resources, 1:461-472.(in Persian)

2. Chizari, A., Sharzei, GH. And Keramatzade, A. 2005.Determination of water economic value with goal programming

approach: case study, Barzu Shirvan dam. Journal of EconomicResearch, 71: 39-66. (in Persian)

3. Statistical Yearbook of Khorasan Razavi province. 2009.Agriculture Organization of Khorasan Razavi province, Deputy

Planning and Economic Affairs. (in Persian)

4. Shahkarami, N., morid, S. and rahimi Jamani, M. 2006.Optimization of cropped area based on forecasted stream flows: Acase study Sofichay irrigation system. Journal of AgriculturalEngineering Research, 39:1-18. (in Persian)

5. Kohansal, M.R. and Firooz Zarea, A. 2008. Determining optimalcultivation model corresponding with organic agricultureApplication of Multiple-objective Linear Fuzzy FractionalProgramming, Case study: North Khorasan province. 62:1-33. (inPersian)

6. Rastegaripour, F. and Sabouhi, M. 2009. Determination ofcropping pattern using grey fuzzy programming case study:

Ghochan province. Journal of Science and Technology ofAgriculture and Natural Resources, 48: 405-413. (in Persian)

7. Mirzaei, A., Kopaei, M. and Keramatzade. 2007. Effect of waterprice strategies on the allocation of irrigation water, Case study:Tajan Plain in Mazandaran province. Proceedings of the SixthConference of Iranian Agricultural Economics, MashhadUniversity. (in Persian)

8. Ben-Tal A. and Nemirovski A. 1998 Robust convex optimization.Journal of Mathematics of Operations Research. 23(4):769-805.

9. Ben-Tal A. and Nemirovski A. 1999. Robust solutions ofuncertain linear programs. Journal of Operations Research. 25: 1–13.

10. Ben-Tal A. and Nemirovski A. 2000. Robust solutions of linearprogramming problems contaminated with uncertain data. Journalof Mathematical Programming. 88: 411–424.

11. Bertsimas D. and Sim M. 2003. Robust discrete optimization andnetwork flows. Journal of Mathematical Programming. 98:49-71.

12. Bertsimas D. and Sim M. 2004. The price of robustness. Journalof Operations Research. 52 (1): 35–53.

13. Charnes A. and Cooper W.1959. Chance-constrainedprogramming. Journal of Management Science. 6(1):73-79.

14. Cohon J.L. Church R.L. and Sheer D.P. 1979. Generating multiobjectivetrade-offs: An algoritm for bicriterion problems. Journalof Water Resources Research. 15:1001-1010.

15. Dantzig G. 1955. Linear programming under uncertainty. Journalof Management Science. 1(3-4):197-206.

16. El-Ghaoui L. and Lebret H. 1997. Robust solutions to leastsquareproblems to uncertain data matrices. Journal on MatrixAnalysis and Applications. 18:1035-1064.

17. El-Ghaoui L. Oustry F. and Lebret H. 1998. Robust solutions touncertain semidefnite programs. Journal of Optimization. 9:33-52.

18. El-Shishiny H. 1988. A goal programming model for planning thedevelopment of newly reclaimed lands. Journal of AgriculturalSystems. 26(4):245-261.

19. Oliveira F. Volpi N.M.P. and Sanquetta C.R. 2003. Goalprogramming in a planning problem. Journal of Applied

Mathematics and Computation. 140(1):165-178.

20. Romero C. and Rehman T. 2003. Multiple Criteria Analysis forAgricultural Decisions. 2th Edition, Developments in AgriculturalEconomics. 11:47-61.

21. Sharma D.K., Jana R.K. and Gaur A. 2007. Fuzzy goalprogramming for agriculture land allocation problems. Journal ofOperations Research. 17(1):31-42.

22. Thiele A. 2004. A robust optimization approach to supply chainand revenue management. PhD thesis, Massachusetts Institute ofTechnology.

23. Yeh C.H. and Labadie J.W. 2003. Multi-objective planning foragricultural decision: An application. Journal of AgriculturePlanning and Management. 23:336-343.177

24. Zeng X. Kang S. Li F. Zhang L. and Guo P. 2010. Fuzzy multiobjectivelinear programming applying to crop area planning.Journal of Agricultural Water Management. In Press, CorrectedProof, Available online 16 September, doi:10.1016/j.agwat.

25. Kemal S.F. and Altin M. 2004. Irrigation scheduling andoptimum cropping pattern with adequente and deficit water

supply for mid-size farm of Harran Plain. Pakistan Journal ofBiological Sciences, 7(8): 1414-1418.

26. Sethi, L.N., Panda, S.N. and Nayak, M.K. 2006. Optimal cropplanning and water resources allocation in a coastal groundwaterbasin, Orissa, India. Journal of agricultural water management,83:209-220