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Application and Optimization for Network Flow Programming in Large-scale Agricultural Production Plan with Time Flexibility Based on Spatial-Temporal Restriction

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  • 1. Sichuan University of Science & Engineering, Zigong 643000, China;
    2. Mathematical School, Sichuan University, Chengdu 610064, China;
    3. Business School, Sichuan University, Chengdu 610064, China

Received date: 2012-12-02

  Revised date: 2013-06-25

  Online published: 2015-04-24

Abstract

The farmland transfer generates various rural economic entities, such as farmers' professional cooperatives, agricultural enterprises and so on, and they take possession of large-scale farmland. In order to achieve large-scale production and intensive management of the agricultural products, it is important to make production plan on the base of the land resources, agricultural information, and production technology. In this context, the network model, the linear model and nonlinear model are successively built for the agricultural production plan. Firstly, based on the spatial-temporal and time flexible characteristics of the agricultural production, the network model of agricultural production plan is built. Secondly, through analyzing the network flow balance problems, the constraint conditions are derived, and combining with the quantitative control of agricultural products, the network model is optimized to get the linear model. Thirdly, considering the influence factors of agricultural productivity, the linear model is extended by establishing nonlinear constraints and objective function. Finally, the numerical example is provided to illustrate the process about making the large-scale agricultural production plan. Results of the numerical example show that the balance between supply and demand of market of agricultural products will be broken if the farmland is fully engaged for the agricultural production, which will cause harvest paradox, however. If the model presented in this paper is applied to formulate scientific and reasonable production plan by the various rural economic entities, although part of the farmland is unused, it will be also help to restore soil fertility and regenerate a variety of organic matter, and to improve good conditions and environment for subsequent production of agriculture products, which is beneficial to improve the quality and output of agricultural products, and increase economic benefit.

Cite this article

LI Hui, HUANG Nan-jing, YE Yi-jun . Application and Optimization for Network Flow Programming in Large-scale Agricultural Production Plan with Time Flexibility Based on Spatial-Temporal Restriction[J]. Chinese Journal of Management Science, 2015 , 23(4) : 157 -166 . DOI: 10.16381/j.cnki.issn1003-207x.2015.04.019

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