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Open Access
Peer-reviewed
Research Article
A linear bi-level multi-objective program for optimal allocation of water resources
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Ijaz Ahmad ,
Contributed equally to this work with: Ijaz Ahmad, Fan Zhang, Junguo Liu, Muhammad Naveed Anjum, Muhammad Zaman, Muhammad Tayyab, Muhammad Waseem, Hafiz Umar Farid
Roles Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Visualization, Writing – original draft
* E-mail: ijaz.ahamd@cewre.edu.pk
Affiliations Centre of Excellence in Water Resources Engineering, University of Engineering and Technology, Lahore, Pakistan, Key Laboratory of Tibetan Environment Changes and Land Surface Processes, Institute of Tibetan Plateau Research, University of Chinese Academy of Sciences, Beijing, China
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Fan Zhang ,
Contributed equally to this work with: Ijaz Ahmad, Fan Zhang, Junguo Liu, Muhammad Naveed Anjum, Muhammad Zaman, Muhammad Tayyab, Muhammad Waseem, Hafiz Umar Farid
Roles Funding acquisition, Supervision, Writing – review & editing
Affiliations Key Laboratory of Tibetan Environment Changes and Land Surface Processes, Institute of Tibetan Plateau Research, University of Chinese Academy of Sciences, Beijing, China, CAS Center for Excellence in Tibetan Plateau Earth Sciences, Beijing, China, University of Chinese Academy of Sciences, Beijing, China
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Junguo Liu ,
Contributed equally to this work with: Ijaz Ahmad, Fan Zhang, Junguo Liu, Muhammad Naveed Anjum, Muhammad Zaman, Muhammad Tayyab, Muhammad Waseem, Hafiz Umar Farid
Roles Supervision, Writing – review & editing
Affiliation School of Environmental Science and Engineering, South University of Science and Technology of China, Shenzhen, China
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Muhammad Naveed Anjum ,
Contributed equally to this work with: Ijaz Ahmad, Fan Zhang, Junguo Liu, Muhammad Naveed Anjum, Muhammad Zaman, Muhammad Tayyab, Muhammad Waseem, Hafiz Umar Farid
Roles Resources, Visualization, Writing – review & editing
Affiliation State Key Laboratory of Cryospheric Science, Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou, P.R. China
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Muhammad Zaman ,
Contributed equally to this work with: Ijaz Ahmad, Fan Zhang, Junguo Liu, Muhammad Naveed Anjum, Muhammad Zaman, Muhammad Tayyab, Muhammad Waseem, Hafiz Umar Farid
Roles Data curation, Resources, Software
Affiliation Research Center of Fluid Machinery Engineering & Technology, Jiangsu University, Zhenjiang, China
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Muhammad Tayyab ,
Contributed equally to this work with: Ijaz Ahmad, Fan Zhang, Junguo Liu, Muhammad Naveed Anjum, Muhammad Zaman, Muhammad Tayyab, Muhammad Waseem, Hafiz Umar Farid
Roles Data curation, Formal analysis, Investigation
Affiliation College of Hydraulic and Environmental Engineering, China, Three Gorges University, Yichang, China
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Muhammad Waseem ,
Contributed equally to this work with: Ijaz Ahmad, Fan Zhang, Junguo Liu, Muhammad Naveed Anjum, Muhammad Zaman, Muhammad Tayyab, Muhammad Waseem, Hafiz Umar Farid
Roles Investigation, Validation, Writing – review & editing
Affiliation Centre of Excellence in Water Resources Engineering, University of Engineering and Technology, Lahore, Pakistan
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Hafiz Umar Farid
Contributed equally to this work with: Ijaz Ahmad, Fan Zhang, Junguo Liu, Muhammad Naveed Anjum, Muhammad Zaman, Muhammad Tayyab, Muhammad Waseem, Hafiz Umar Farid
Roles Writing – review & editing
Affiliation Department of Agricultural Engineering, Bahauddin Zakariya University, Multan, Pakistan
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A linear bi-level multi-objective program for optimal allocation of water resources
- Ijaz Ahmad,
- Fan Zhang,
- Junguo Liu,
- Muhammad Naveed Anjum,
- Muhammad Zaman,
- Muhammad Tayyab,
- Muhammad Waseem,
- Hafiz Umar Farid
- Published: February 14, 2018
- https://doi.org/10.1371/journal.pone.0192294