These constraints put a limit on our achieving
optimality as we undertake a heuristic decision-making process that simultaneously attempts at resolving all constraints resulting in sub-optimal but good enough (satisficing) decisions.
Before introducing our concept of event-specific
optimality, it will help if we briefly consider how others have attempted to incorporate choice into theories and models of causation.
As mentioned above, we concentrate on exponential preferences for both the agent and the principal, which allow us to get explicit solutions for
optimality contracts.
N-MUSA model is a Nonlinear Goal Programing (NLGP) with a convex objective function, which ensures the global
optimality of the derived optimal solution.
From Theorem 21, we obtain the following sufficient
optimality condition for ([SP.sub.1]).
In
Optimality Theory (OT), phonology is considered a universal set of constraints which are hierarchically ranked on a language-specific basis.
The basic framework of an optimal control is to prove the existence of the optimal control and then characterize the optimal control through
optimality system [24].
In a general approach to ensure delay
optimality for multihop cooperative networks, one needs a problem formulation via Markov Decision Process (MDP), for example, [25, 26].
The well-known KKT
optimality conditions for problem (23) are stated as below.
In this communication, first several new classes of generalized second-order (ph, , o, p, p, th, m)-invex functions are introduced, and then these are applied to establish a set of second-order necessary
optimality conditions leading to several sets of second-order sufficient
optimality conditions and theorems for the following discrete minmax fractional programming problem:
In section 5, we present the necessary conditions of
optimality. For illustration of the abstract results, section 6 is devoted to some examples of linear quadratic regulator problems of meanfield type.
Penot, [36] and Cambini et al., [8] established second-order necessary
optimality conditions for a point to be a local minimum and a local maximimum, respectively, for problem (P) using the theory of second-order projective tangent cones for twice Frechet differentiable objective functions as well as a sufficient
optimality condition of the same type.
