Optimal design of capacitated production networks

Agnes Dittel · Simone Göttlich · Ute Ziegler
Received: 8 December 2008 / Accepted: 16 August 2010
© Springer Science+Business Media, LLC 2010

Abstract In this work we present a mixed-integer model for the optimal design
of production/transportation systems. In contrast to standard design problems, our
model is originally based on a coupled system of differential equations capturing the
dynamics of manufacturing processes and stocks. The problem is to select an optimal
parameter configuration from a predefined set such that respective constraints are ful-
filled. We focus on single commodity flows over large time scales as well as highly
interconnected networks and propose a suitable start heuristic to ensure feasibility
and to speed up the solution procedure.
Keywords Production systems · Mixed integer models · Heuristics

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