An Optimal Control Model for Biogas Investment Problem Under Fuzzy Environment

To improve the biogas energy development structure, this paper studies the multi objective dynamic programming in its investment system. Limited resource has bandaged the ideal of investors. Variety of stages in the systems and in object function us state diversion, stage decision and overall decision constitute optimization problem. This paper applied multi-objects fuzzy optimization dynamic-state scheme model to establish the math-model of having disagreement of amount, and the resource allocation problem not only having quantum object but also having qualitative object. The decision makers need to make a decision assigning the different area condition and resource to invest different scales of biogas projects under exploring constraint. Due to the lack of historical data, some coefficients are considered as fuzzy numbers according to experts advices. Therefore, a multi-objective dynamic optimization model with possibilities constraints under the fuzzy environment is developed to control the pollution and realize the economic growth. Finally, a practical case is proposed to show the efficiency of the proposed model and algorithm. A bi-level biogas investment planning multiple objective multistage programming model is constructed.