A cephoid is a Minkowski sum of finitely many prisms in R^n. We discuss the concept of duality for cephoids. Also, we show that the reference number uniquely defines a face. Based on these results, we exhibit two graphs on the outer surface of a cephoid. The first one corresponds to a maximal...

Within this paper we study the Minkowski sum of prisms ("Cephoids") in a finite dimensional vector space. We provide a representation of a finite sum of prisms in terms of inequalities. -- Convex analysis ; Minkowski sum ; polytopes

I: Optimization Theory -- A method for linearly constrained minimization problems -- On a class of nonconvex optimization problems -- Lower semicontinuity of marginal functions -- A new approach to symmetric quasiconvex conjugacy -- Generalized convexity, functional hulls and applications to...

This volume contains selected papers presented either at the Oberwolfach Conference on Operations Research, February 1987, or at the three-day workshop on Advanced Computation Techniques, Parallel Processing and Optimization organized by IIASA and the University of Karlsruhe, which immediately...

This voluume contains actual contributions to the current research directions in Optimizatiton Theory as well as applications to economic problems and to problems in industrial engineering. Of particular interest are: convex- and Nonsmooth Analysis, Sensitivity Theory, Optimization techniques...