I've uploaded slides and a written explanation on Benders Decomposition, with the full code available inside online course 90 , found by clicking the 'Classroom' menu. The course presents a mixed-integer linear optimisation problem of the kind used by electricity network planners , which are the companies that decide which parts of the grid need to be reinforced (for example, upgrading the capacity of transmission lines). The objective is to minimise the total cost of expanding and operating the power system , i.e. deciding what to build and how to run it . The problem also accounts for sources of uncertainty. Problems like this become very large (many decision variables, many constraints), which makes them slow and sometimes practically impossible to solve . To get around this, we decompose them into smaller pieces and solve those instead. This course presents the Benders Decomposition approach, named after Benders, the researcher who introduced it and this approach is very widely used in power system planning (deciding when, where and how to reinforce the grid). This approach splits the original optimization problem into two subproblems . The full code and slides are available to download. Such a model and similar ones are used in electricity transmission / distribution companies : - UK & Ireland: National Grid, NESO, SSEN, SP Energy Networks, UK Power Networks, Northern Powergrid, EirGrid - Europe: TenneT (Netherlands/Germany), Elia (Belgium), RTE (France), Terna (Italy), 50Hertz (Germany), Red Eléctrica (Spain), Statnett (Norway), Swissgrid (Switzerland) - North America: PJM, MISO, ERCOT, CAISO, NYISO, ISO-NE, AESO (Alberta), IESO (Ontario) - Asia-Pacific & Middle East: AEMO (Australia), POSOCO/Grid-India, TEPCO (Japan), KEPCO (South Korea) Typical job titles that actually design / use such models at work, include: - Network Planning Engineer, - Transmission Planning Analyst, - System Development Engineer, - Power System Modeller, - Investment Planning Analyst, - Whole-System Strategy Analyst, - Quantitative Analyst at energy consultancies (e.g. AFRY, DNV, Baringa, Aurora Energy Research, Pöyry, E3).