The Aggregate Homotopy Method for Multi-objective Max-min Problems

Analysis of Two Algorithms for Multi-objective Min-max Optimization

This paper presents two memetic algorithms to solve multi-objective min-max problems, such as the ones that arise in evidence-based robust optimization. Indeed, the solutions that minimize the design budgets are robust under epistemic uncertainty if they maximize the belief in the realization of the value of the design budgets. Thus robust solutions are found by minimizing with respect to the d...

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...

A Lagrange Multiplier Method for Certain Constrained Min-Max Problems

Column Generation for Bi-Objective Vehicle Routing Problems with a Min-Max Objective

Column generation has been very useful in solving single objective vehicle routing problems (VRPs). Its role in a branch-and-price algorithm is to compute a lower bound which is then used in a branch-and-bound framework to guide the search for integer solutions. In spite of the success of the method, only a few papers treat its application to multi-objective problems and this paper seeks to con...

Min-max-min Geometric Facility Location Problems

We propose algorithms for a special type of geometric facility location problem in which customers may choose not to use the facility. We minimize the maximum cost incurred by a customer, where the cost itself is a minimum between two costs, according to whether the facility is used or not. We therefore call this type of location problem a min-max-min geometric facility location problem. As a f...