Allocation of Agricultural Land To The Major Crops of Saline Track By Linear Programming Approach: A Case Study
Wankhade M. O., Lunge H. S.
Keywords: Land allocation, Simplex Algorithm, Push and Pull algorithm, saline track.
Abstract: Linear programming (LP) technique is relevant in optimization of resource allocation and achieving efficiency in production planning particularly in achieving increased agricultural productivity. In this paper a Linear programming technique is applied to determine the optimum land allocation to 10 major crops of the saline track of rain red zone using agriculture data, with respect to various factors viz. cost of seeds, cost of fertilizers/ pesticides, yield of crops, daily wages of labour and machine charges, selling base price of commodities, for the period 2009-2010. The proposed LP model is solved by standard simplex algorithm and Arsham's Push and Pull algorithm and the solutions are compared. A case study is carried out in the saline track of rain fed zone of Murtizapur Tahsil of Akola District, Maharashtra; India. It is observed that the proposed LP model is appropriate for finding the optimal land allocation to the major crops of study area.
 Andres Weintraub and Carlos Romero (2006), “Operations Research Models and the Management of Agricultural and Forestry Resources: A Review and Comparison”, INFORMS, 36, 5, 446-457.
 Campbell J. C., Radke J., Gless J. T. and Wirtshafter R. M, (1992), “An application of linear programming and geographic information systems: cropland allocation in Antigua”, Environment and Planning A, 24, 535-549.
 Dantzig G. B (1963), “Linear Programming and Extensions”, Princeton, University Press, Princeton, NJ.
 Felix Majeke and Judith Majeke (2010), “A Farm Resource Allocation Problem: Case Study of Small Scale commercial Farmers in Zimbabwe”, Journal of Sustainable Development in Africa Volume, 12, 2, 315-320.
 H. Arsham (1997), “An artificial free simplex algorithm for general LP models”, Mathematical and Computer modeling, 25, 1-2, 107-127.
 H. Arsham (1998), SixPap Project, Uni. Of Baltimore, ML, USA.
 H. Arsham, G. Cimperman, N. Damij, T. Damij, and J. Grad (2005), “A Computer implementation of the Push-and-Pull Algorithm and Its Computational Comparison With LP Simplex method”, Applied Mathematics and Computation, 170, 36–63.
 Harvey M. Wagner (2005), “Principles of Operations Research with Applications to Managerial Decisions”, Prentice Hall of India Pvt. Ltd. New Delhi.
 Ion Raluca Andreea and Turek Rahoveanu Adrian (2012), “Linear Programming in Agriculture: Case Study in Region of Development South-Mountenia” International Journal of Sustainable Economies Management, 1, 1, 51-60.
 Krishisanvadini (2009), “Agricultural Guide”, Dr. P. D. K. V. Akola, M.S., India.
 Keith Butterworth (1985), “Practical Application of Linear/Integer Programming in Agriculture”, Journal of Operational Research Society, Vol. 36, 2, 99-107.
 Lingo 12.0, LINDO Inc. Ltd.
 Nordin Hj. Mohamad and Fatimah Said (2011), “A mathematical programming approach to crop mix problem”; African Journal of Agricultural Research Vol. 6, 1, 191-197.
 Radhakrishnan D (1962), “An application of linear programming for farm planning A case study in West Godabari District of Andhrapradesh”, Indian journal of Agricultural economics, 17, 2, 73-82.
 Raj Krishna (1963), “The optimality of land allocation: A case study of the Panjab” Indian journal of Agricultural economics, 18, 1, 63-73.
 Sante I and Crecente R (2005), “Models and Methods for Rural Land Use Planning and their Applicability in Galicia (Spain)”, AESOP 05 Vienna.
 Tanko L, Onyenweaku C. E. and Nwosu (2006), “Optimum crop combinations under limited resources conditions: A micro-level study in Yauri, Kebbi State, Nigeria”, NIGERAGRIC J. 37, 1-10.
 V.I. Kustova (2007) “A Method of Solving the General Problem of Linear Programming”, Caribb. J. Math Comput. Sci. 14, 1-36