GAs in Global Optimization of Mixed Integer Non-Linear Problems

bilevel and multilevel programming, xii bilevel mixed-integer linear problems, 129 bilevel programming, 129 bilevel mixed-integer linear problems, 129 bilevel programming with uncertainty, 138 feedback Stackelberg solution, 131 mixed-integer bilevel programming, 140 quadratic bilevel programming, 132 branch and bound approach, 56 dominance criterion, 58 infeasibility criterion, 58 integrality criterion, 58 redundant constraints, 58 branch and bound (B&B) algorithms, 99 capacity and shutdown planning, 263 capacity balance, 272 capital investment, 275 capital investment—distribution network, 276 capital investment—forecourt stations, 276 centralized production sites and technologies, 269 capacity balance, 270 feedstock availability, 271 comparison procedure, 29, 45 complexity analysis, 168 critical region infeasible corner, 28, 44 vertices, 50 critical regions polyhedral regions, 102 design optimization of nonlinear convex systems, 214 distribution constraints, 273 distribution network, 272, 290 dynamic programming, 151 constrained dynamic programming, 156 multistage decision problems, 151 electricity grid, 261 energy and environmental analysis, 255 biomass, 256 fuel cell vehicles, 255 fuel cells, 255 hydrogen, 255 natural gas, 256 renewable sources, 256 solar energy, 256 environmental considerations, xiii environmentally conscious process selection, 261 expected stochastic flexibility, 195 expected stochastic flexibility of linear systems, 192 explicit functions, 151 feasibility conditions, 158 flexibility analysis, 175 flexibility analysis of process systems, xiii flexibility test and index, 175, 193, 198, 200 design optimization of linear systems, 184 feasibility function problem, 176 flexibility index, 178 flexibility test and index problems, 177 multiparametric linear program (mp-LP), 176 flexibility test and index for convex nonlinear systems, 206 flexibility test and index for nonlinear nonconvex systems, 220 forecourt markets, 290 fuel cell vehicles, 304