Pakistan (Punjab) Agricultural Production Structure Adjustment And Optimization Model

Based on the current agricultural production structure situation of Punjab province, now it has been more than clear and indispensable to initiate an agricultural production structure adjustment with the objectives of sustainable agricultural development of the province and country. Thus, it is of utmost importance to research on the methods to establish mathematical models based on specific regional advantages. Through the magnified mathematical methods’ we could study the existing problems in a quantitative way and could suggest a scientific and strategic plan which could both be considered for practical selection and available to use as research reference.In this paper, we evaluate and study different mathematical models that had been used over time in the recent studies of the production adjustment problems. Based on currently existing economical and technological conditions of Punjab province a multi-objective optimization model is formulated. Economic development, social welfare and ecological equilibrium these three goals are being embodied into the optimal model of agricultural production structure adjustment. Through computer-generated results, we then got some adjustment schemes corresponding to different strategies of production structure adjustment. Then to estimate the agricultural comprehensive production capacity of each scheme we applied data envelopment analysis(DEA) and then select the optimal solution of all.This research is mainly composed of four aspects given as follows;1. Application of the theories and methods of informatics and to calculate the degree of stability in the agricultural production structure the concept of entropy is introduced. In the formula, the proportion of production value for every scheme is substituted with the corresponding probability. Apart from the other indexes, we considered the estimation of existing production structure.2. A multi-objective optimization model for agricultural production structure, based on the comprehensive and systematic analysis, is established. The input model of control parameters will reflect the different adjustment schemes based on multiple strategies. The LNIGO optimization software program is used to solve the corresponding optimization and adjustment schemes.3. DEA comprehensive evaluation of multiple schemes. In this paper, data envelopment analysis(DEA) the comprehensive evaluation methods constructed with the non-Archimedean infinitesimal ―ε‖ DEA models of C2 R and C2GS2 are used for the first time for the study of agricultural production structure in the region. Each adjustment scheme is regarded as a production decision making unit(DMU) and its relative efficiency is evaluated and optimized.Bythe means, we analyzed their relative technical and scale efficiency. Moreover, an obvious distinction is given among the DEA efficient DMUs and not DEA efficient DMUs. Based on these results we could also gain some useful insight to management information. Concepts of ratio redundant and ratio of inefficient production are introduced to investigate the possible reasons resulting inefficiency. Return to scale for each scheme is analyzed to conclude to opt the suitable production scale. All these analysis will be very useful to consider the ways to improve these schemes. Based on ―projection theorem‖ project the not DEA efficient schemes on the production frontier and establish new DMUs which are both technical and scale efficient.4. Using a new DMU ranking method the traditional DEA evaluation model is improved with appropriate changes by introducing "Ideal decision making unit", with minimal inputs and maximum outputs. "The efficiency appraisal index" concept is used where we get a set of common weight, which is equal to each scheme.5. The results of this study will have certain theoretical significance and practical value to promote the strategic adjustment of agricultural production in my province. The optimized multi objective model is able to solve the optimization schemes according to the objectives and strategies. The DEA comprehensive evaluation points out the directions and ways of the further amendment and improvement of the optimization scheme, which provides a scientific basis for the formulation of reasonable and effective structural adjustment policy. Finally, the scheme 2, which reflects the goals and requirements of the adjustment of agricultu ral production structure in my province, has a certain practical application value.In this paper, the application of mathematical model method in the research of agricultural economic problems is beneficial to explore and put in practice. It can be applie d to the research of related fields as well...