Optimization (eBook)

Contents 7
List of Figures 15
List of Tables 17
Preface 19
Part I Optimization: Structure 22
On the nondifferentiability of cone- monotone functions in Banach spaces 23
Duality and a Farkas lemma for integer programs 35
Some nonlinear Lagrange and penalty functions for problems with a single constraint 60
Convergence of truncates in l1 optimal feedback control 74
Asymptotical stability of optimal paths in nonconvex problems 113
Pontryagin principle with a PDE: a unified approach 153
A turnpike property for discrete-time control systems in metric spaces 160
Mond–Weir Duality 174
Computing the fundamental matrixof an M/G/1–type Markov chain 183
A comparison of probabilisticand invariant subspace methodsfor the block M/G/1 Markov chain 205
Interpolating maps, the modulus map and Hadamard’s inequality 222
Part II Optimization: Applications 239
Estimating the size of correcting codes using extremal graph problems 240
New perspectives on optimal transforms of random vectors 257
Optimal capacity assignment in general queueing networks 272
Analysis of a simple control policy for stormwater management in two connected dams 284
Optimal design of linearconsecutive–k–out–of–n systems 318
The (k + 1)-th component of linear consecutive–k–out–of–n systems 338
Optimizing properties of polypropylene and elastomer compounds containing wood flour 354
Constrained spanning, Steiner trees and the triangle inequality 366
Parallel line search 379
Alternative Mathematical Programming Models: A Case for a Coal Blending Decision Process 392
About the Editors 409