_____________________________________________________________________________________________________ *Corresponding author: E-mail: mushtaqstat11@gmail.com; Advances in Research 18(6): 1-5, 2019; Article no.AIR.32185 ISSN: 2348-0394, NLM ID: 101666096 Modelling and Allocation of Crops: Mathematical Programming Approach M. A. Lone 1* , S. A. Mir 1 and Tabasum Mushtaq 1 1 Division of Agricultural Statistics, SKUAST-K, India. Authors’ contributions This work was carried out in collaboration among all authors. All authors read and approved the final manuscript. Article Information DOI: 10.9734/AIR/2019/v18i630105 Editor(s): (1) Dr. Anil Kumar, Professor in Mathematics, International Maritime Institute, Greater Noida UP, India. Reviewers: (1) Semra Erpolat Taşabat, Mimar Sinan Fine Art University, Turkey. (2) Dr. Martin Anokye, University of Cape Coast, Ghana. (3) Abdulwahed Aboukarima, Agricultural Engineering Research Institute, Egypt. Complete Peer review History: http://www.sdiarticle3.com/review-history/32185 Received 30 April 2017 Accepted 12 August 2017 Published 04 April 2019 ABSTRACT Mathematical programming techniques are commonly used by decision makers for achieving efficiency in agricultural production planning. Due to increasing demands of growing population of world, one needs to utilize the limited available resources in the most efficient and economic way. In this paper, the fractional programming problem is formulated and is used to determine the optimal cropping pattern of vegetable crops in such a way that the total profit is maximized. The solution of the formulated Fuzzy programming problem is obtained using LINGO. Keywords: Optimal solution; optimal land allocation; fractional goal programming; multiobjective linear programming problem. 1. INTRODUCTION In agricultural field experiments, crop planning is usually carried out to determine which type of crops should be cultivated and the area required for planting the crop. This planning issue is usually solved by using Mathematical programming techniques. Linear programming is one of the oldest techniques of Mathematical programming used for decision making studies. The most ordinary kind of mathematical programming is Fractional programming with Original Research Article