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Abstract and Applied Analysis - Volume 2015 2015, Article ID 369493, 7 pages -

Research ArticleDepartment of Mathematics of University of Science and Technology, 30th Xueyuan Road, Haidian District, Beijing 100083, China

Received 14 May 2014; Revised 10 August 2014; Accepted 26 August 2014

Academic Editor: Simone Marsiglio

Copyright © 2015 Rui Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The effective utilization rate of exploited renewable resources affects the final total revenue and the further exploitation of renewable resources. Considering the effective utilization rate, we propose an optimal control model for the exploitation of the renewable resources in this study. Firstly, we can prove that the novel model is nonsingular compared with the singular basic model. Secondly, we solve the novel model and obtain the optimal solution by Bang-Bang theory. Furthermore, we can determine the optimal total resources and the maximal total revenue. Finally, a numerical example is provided to verify the obtained theoretical results.





Autor: Rui Wu, Zhengwei Shen, and Fucheng Liao

Fuente: https://www.hindawi.com/



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