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Population increase and socio-economic rise of developing countries in many parts of the world have escalated the water demand for various uses including agriculture, municipal, recreational and industrial demands. The increased demands in the past decades have put severe stresses on the available water resources across the world particularly in arid and semi-arid regions. Hence, optimal management of water resources is a crucial issue and it is imperative to adopt realistic policies to ensure that water is used more efficiently in various sectors. This book presents the basics of linear and nonlinear optimization analysis for both single and multi-objective problems in hydro system engineering. Several examples with various levels of complexity in different fields of water resources engineering are presented and they are solved step by step to assist the reader and make it easier to understand the concepts. In addition, the latest tools and methods are presented to help students, new researchers, engineers and water managers to properly conceptualize and formulate the resource allocation problems and deal appropriately with the complexity of constraints in water demand and available supplies§