Nonlinear observation via global optimization methods: measure theory approach
Journal of Optimization Theory and Applications
New computer methods for global optimization
New computer methods for global optimization
Inclusion functions and global optimization 11
Mathematical Programming: Series A and B
Nonscalarized multiobjective global optimization
Journal of Optimization Theory and Applications
Spherical algorithms and evaluation of the fixed point set
Nonlinear Analysis: Theory, Methods & Applications
Journal of Optimization Theory and Applications
On a class of direct optimization problems1,2
Journal of Optimization Theory and Applications
Global optimization over general compact sets by the beta algorithm: A MAPLE code
Computers & Mathematics with Applications
Small sample uniformity in random number generation
Computers & Mathematics with Applications
Nonsmooth nonconvex global optimization in a Banach space with a basis
Computers & Mathematics with Applications
The ψ-transform for solving linear and non-linear programming problems
Automatica (Journal of IFAC)
Instability and refinement of models in long term planning of large scale projects
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Global optimization in Rn with box constraints and applications: A Maple code
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Synthetic realization approach to fuzzy global optimization via gamma algorithm
Mathematical and Computer Modelling: An International Journal
Set contraction algorithm for computingpareto set in nonconvex nonsmooth multiobjective optimization
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Information transmittal, time uncertainty and special relativity
Computers & Mathematics with Applications
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The notion of consistency for optimal plans introduced in [F.E. Kydland, E.C. Prescott, Rules rather than decisions: The inconsistency of optimal plans, J. Polit. Econ. 85 (3) (1977) 473-491] is studied in relation to dynamic programming and to multi-objective optimal control. It is demonstrated that the consistency condition for an optimal sequence of n policies for periods from 1 to n corresponding to a sequence of n economic agents' decisions that together constitute an optimal plan for an agreed-upon social objective function is equivalent to a multi-objective problem with n+1 criteria. An optimal plan is consistent if and only if the corresponding (n+1)-criteria problem is balanced, and consistent optimal plans do exist in such economic situations. Otherwise, the consistency requirement generates the balance set and a set of Pareto solutions, and both can be computed as illustrated in the inflation-unemployment example extended for two periods with three objectives to optimize. The procedure of ''consistent planning for the infinite horizon'' considered in [F.E. Kydland, E.C. Prescott, Rules rather than decisions: The inconsistency of optimal plans, J. Polit. Econ. 85 (3) (1977) 473-491] is shown to concur with Bellman's principle of optimality that may be invalid in many practical cases including the case considered in [F.E. Kydland, E.C. Prescott, Rules rather than decisions: The inconsistency of optimal plans, J. Polit. Econ. 85 (3) (1977) 473-491]. Finitely causal and non-causal models are introduced for long term planning in a multi-objective (Pareto) framework, and it is demonstrated how to deal with non-causal models using new set-contractive methods for multi-objective global optimization. The results are illustrated by examples.