In this paper we look at two interesting extensions to the classical 2-Facility Weber Problem in ℝ<Superscript> d </Superscript>: At first problems are investigated where we do not allow the optimal locations to be in a specific region. Efficient algorithms for this Global Optimization problem are presented as well as...</superscript>

A random variable (RV) X is given aminimum selling price <Equation ID="E1"> <EquationSource Format="TEX"> $$S_U \left( X \right):=\mathop {\sup }\limits_x \left\{ {x + EU\left( {X - x} \right)} \right\}$$ </EquationSource> </Equation> and amaximum buying price <Equation ID="E2"> <EquationSource Format="TEX"> $$B_p \left( X \right):=\mathop {\inf }\limits_x \left\{ {x + EP\left( {X - x} \right)} \right\}$$ </EquationSource> </Equation>...</equationsource></equation></equationsource></equation>

Optimization of structures with respect to performance, weight or cost is a well-known application of mathematical optimization theory. However optimization of structures with respect to weight or cost under probabilistic reliability constraints or optimization with respect to reliability under...

Consider a min-max problem in the form of min<Subscript> xεX </Subscript>max<Subscript>1≤i≤m </Subscript>{f <Subscript> i </Subscript>(x)}. It is well-known that the non-differentiability of the max functionF(x) ≡ max<Subscript>1≤i≤m </Subscript>{f <Subscript> i </Subscript>(x)} presents difficulty in finding an optimal solution. An entropic regularization procedure provides a smooth...</subscript></subscript></subscript></subscript></subscript>

LetM <Subscript>1</Subscript> andM <Subscript>2</Subscript> be matroids onS,B be theirk-element common independent set, andw a weight function onS. Given two functionsb ≥ 0 andc ≥ 0 onS, the Inverse Matroid Intersection Problem (IMIP) is to determine a modified weight functionw′ such that (a)B becomes a maximum weight common...</subscript></subscript>

Mathematical formulation of an optimization problem often depends on data which can be measured in more than one acceptable way. If the conclusion of optimality depends on the choice of measure, then we should question whether it is meaningful to ask for an optimal solution. If a meaningful...

A generalized form of vectorial equilibria is proposed, and, using an abstract monotonicity condition, an existence result is demonstrated. Copyright Physica-Verlag 1997

A repairable system is composed of components ofI types. A component can be loaded, put on standby, queued or repaired. The repair facility is here assumed to be a queueing system of a rather general structure though interruption of repairs is not allowed. Typei components possess a lifetime...

Consider the extremal algebra[Figure not available: see fulltext.]=(ℝ∪{∞},min,+), using + and min instead of addition and multiplication. This extremal algebra has been successfully applied to a lot of scheduling problems. In this paper the behavior of the powers of a matrix over[Figure...

The aim of the paper is to show that Lyapunov-like ergodicity conditions on Markov decision processes with Borel state space and possibly unbounded cost provide the approximation of an average cost optimal policy by solvingn-stage optimization problems (n=1, 2, ...). The used approach ensures...