Titlebook: Optimization and Operations Research; Proceedings of a Wor Rudolf Henn,Bernhard Korte,Werner Oettli Conference proceedings 1978 Springer-Ve

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Differentiable Perturbations of Infinite Optimization Problems,he objective function and in the constraints. In particular, upper and lower bounds for the directional derivative of the extremal value function as well as necessary and sufficient conditions for the existence of the directional derivative are given.

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The Theorem of Minkowski for Polyhedral Monoids and Aggregated Linear Diophantine Systems,s also for monoids M(N, B)={x?Z. / Nx + By=o, y?Z>.}. We consider the aggregated system GNx+GBy=o where G is an (r,m) aggregation matrix and show how the cardinality of a span of M(GN,GB) and M(N,B) relate to each other. Moreover we show how the group order of the Gomory group derived from M(N,B) changes if we aggregate Nx+By=o to GNx+GBy=o.

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The Solution of Algebraic Assignment and Transportation Problems,mations which can be determined by maximal flow resp. by shortest path algorithms. Numerical results for these and primal methods applied to sum and bottleneck assignment resp. transportation problems are mentioned.

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A Note on Directional Differentiability of Flow Network Equilibria with Respect to a Parameter,th each arc α ∈ A, we associate a oneparameter family of arc characteristics f. (α;π), the parameter π varying between ?. and . > o. This provides us with a one-parameter family of networks (N, A, f(…;π)). (For details on arc characteristics see e.g. IRI [1], who by the way speaks of branch instead of arc characteristics.)

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