TY - CHAP A1 - Yokoyama, Ryohei A1 - Shinano, Yuji T1 - MILP Approaches to Optimal Design and Operation of Distributed Energy Systems T2 - Optimization in the Real World N2 - Energy field is one of the practical areas to which optimization can contribute significantly. In this chapter, the application of mixed-integer linear programming (MILP) approaches to optimal design and operation of distributed energy systems is described. First, the optimal design and operation problems are defined, and relevant previous work is reviewed. Then, an MILP method utilizing the hierarchical relationship between design and operation variables is presented. In the optimal design problem, integer variables are used to express the types, capacities, numbers, operation modes, and on/off states of operation of equipment, and the number of these variables increases with those of equipment and periods for variations in energy demands, and affects the computation efficiency significantly. The presented method can change the enumeration tree for the branching and bounding procedures, and can search the optimal solution very efficiently. Finally, future work in relation to this method is described. Y1 - 2015 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/5847 SN - 978-4-431-55419-6 VL - Volume 13 SP - 157 EP - 176 PB - Springer ER -