Synopses & Reviews
This is the second in a series of contributed, refereed volumes devoted to research in optimization by Australian researchers and their collaborators. These volumes are intended to have wide scope and include survey papers by established researchers providing up-to-date information on research directions. This volume includes survey and research papers on theories and methods of nonlinear programming, nonconvex and discrete optimization, stochastic linear programming, generalized convexity, complementarity and vector variational inequality problems, dynamic systems and optimal control and applications to traffic assignment models, train control, manufacturing systems and substrate diffusion of cutaneous tissue. Audience: Practitioners, postgraduate students and researchers in optimization.
Table of Contents
Preface. Participants. Editors.
Part I: Global Optimization. 1. Global Optimization Methods for Location and Distance Geometry Problems;
H. Tuy. 2. Branch and Cut Methods for Mixed Integer Linear Programming Problems;
L. Caccetta. 3. Separability of Star-Shaped Sets with Respect to Infinity;
A.M. Rubinov, A.P. Shveidel. 4. Nonlinear Unconstrained Optimization Methods: A Review;
A.M. Rubinov, et al. 5. New Dual Formulations in Constrained Integer Programming;
X. Sun, D. Li. 6. Simulated Annealing and Penalty Methods for Binary Multicommodity Flow Problems;
X.Q. Yang, et al. Part II: Nonsmooth Optimization. 7. A Quadratic Recourse Function for the Two-Stage Stochastic Program;
J.R. Birge, et al. 8. Lagrange Multipliers for Nonconvex Optimization;
B.D. Craven. 9. Class-Inclusion Properties for Convex Functions;
A. Eberhard, C.E.M. Pearce. 10. On Generic Locally Convex Vector Functions;
V. Gershkovich, et al. 11. Essential Components and Connectedness of Solution Set for Complementarity Problems;
G. Isac, G.X.Z. Yuan. 12. On Relations between Vector Variational Inequality and Vector Optimization Problem;
G.M. Lee. Part III: Optimization Methods. 13. Parameter Estimation in Dynamic Systems;
K. Schittkowski. 14. Methods of Feasible Directions: A Review;
X. Chen, M.M. Kostreva. 15. Computational Method for a Class of Optimal Switching Control Problems;
Y. Liu, K.L. Teo. 16. Optimization by Way of the Trajectory Following Method;
T.L. Vincent. 17. Solving Hamilton-Jacobi-Bellman Equations by an Upwind Finite Difference Method;
S. Wang, et al. 18. An Efficient Approximation Method for a Class of Continuous Linear Programs;
K.H. Wong, et al. Part IV: Applications. 19. Calibration of Parameters for a Combined Gravity and Traffic Assignment Model;
R. Han. 20. A Restricted Variation Argument to Derive Necessary Conditions for the Optimal Control of a Train;
P. Howlett. 21. Determination of Optimal Batch Size for a Manufacturing System;
R. Sarker, C. Newton. 22. Parameter Estimation in a Mathematical Model for Substrate Diffusion in a Metabolically Active Cutaneous Tissue;
K. Schittkowski.