An interpretation for min-max structural design problems including a method for relaxing constraints

An Interpretation for Min-max Structural Design Problems including a Method for Relaxing Constraints

Alas&ret-Min-max type problems arise in structural design when the objective is to minimize the maximum value ol some local measure of system response, e.g. design to minimize the maximum stress or displacement. A method is described whereby the min-max problem is interpreted as a simple min problem. Governing equations for the adjoint structure are derived directly from the Lagrangian for this...

A Lagrange Multiplier Method for Certain Constrained Min-Max Problems

A smoothing algorithm for finite min-max-min problems

We generalize a smoothing algorithm for finite min–max to finite min– max–min problems. We apply a smoothing technique twice, once to eliminate the inner min operator and once to eliminate the max operator. In mini–max problems, where only the max operator is eliminated, the approximation function is decreasing with respect to the smoothing parameter. Such a property is convenient to establish ...

Dynamic Min-Max Problems

A linear-system-theoretic view of discrete-event processes and its use for performance evaluation in manufacturing. 20 2. G t is a dominating subgraph of G c as there are no edges between nodes v i 2 V ? t and v j 2 (V + nV + t), G t has a min-max potential and G c has a min potential. G t is a maximal dominating subgraph of G c. To proof this, let us suppose that a subgraph G q of G c nG t cou...

Optimization Problems Under One-sided (max,min)-Linear Equality Constraints

In this article we will consider optimization problems, the objective function of which is equal to the maximum of a finite number of continuous functions of one variable. The set of feasible solutions is described by the system of (max,min)-linear equality constraints with variables on one side. Complexity of the proposed method with monotone or unimodal functions will be studied, possible gen...