Mimimizing the cost of using tractors at agricultural operations

The paper shows the economic efficiency of the optimal use of technology in crop production. A totally new model has been developed ,that allows planning the operation of each tractor individually, as well as an integer programming method with Boolean variables based on the formation of a lexicographic sequence. The paper shows the calculation according to the optimization criterion of the minimum duration of the work. The developed method of integer programming is original because it allows to solve problems typical of agricultural planning. For this, the authors derived a formula for the formation of any member of the lexicographic sequence and developed the AgroMaster + computer program, which also carries out the search for the optimal solution using the method of truncated exhaustive search. Due to optimal planning, the total duration of agricultural operations is reduced by 1.7 times compared to their actual duration. The cost of additional products received per 1 moto-hour is 7.3 dollars. The testing the results of studies in one of the farms of the Republic of Bashkortostan showed the possibility of practical application of the above developments for optimal planning of tractors in any agricultural enterprises.

[1]  Bart Jourquin,et al.  Estimating Elasticities for Freight Transport Using a Network Model: An Applied Methodological Framework , 2019, Journal of Transportation Technologies.

[2]  Sana Salous,et al.  Solving Travelling Salesman Problem with an Improved Hybrid Genetic Algorithm , 2016 .

[3]  Brou Mathias Allate.  Terminal Location Models for Intermodal Transport Network Optimization , 2019 .

[4]  P. Recht.  A Dynamic Programming Approach for the Max-Min Cycle Packing Problem in Even Graphs , 2016 .

[5]  Mohand Bentobache,et al.  A hybrid direction algorithm for solving linear programs , 2015, Int. J. Comput. Math..

[6]  Zhongxin Luo.  Path Selection of Multimodal Transport Based on Multi-Objective Mixed Integer Programming , 2019 .

[7]  Saliha Belahcene,et al.  The Pivot Adaptive Method for Solving Linear Programming Problems , 2018 .

[8]  Egon Balas,et al.  Discrete Programming by the Filter Method , 1967, Oper. Res..

[9]  Peng Qiao,et al.  Addressing Uncertainty in Temporal and Spatial Scheduling for Farm Machinery Operation , 2016 .

[10]  Novia Budi Parwanto,et al.  Applying Network Flow Optimization Techniques to Improve Relief Goods Transport Strategies under Emergency Situation , 2015 .

[11]  Raymond Chiong,et al.  Local search for the Traveling Salesman Problem: A comparative study , 2015, 2015 IEEE 14th International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC).

[12]  Vladimir Shevtsov,et al.  Formation of Quantitative and Age Structure of Tractor Park in the Conditions of Limitation of Resources of Agricultural Production , 2015 .

[13]  Yoshihiro Tanaka.  Using the Simplex Method for a Type of Allocation Problems , 2019, American Journal of Computational Mathematics.