Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/27198
Authors: 
Stolletz, Raik
Stolletz, Lars
Year of Publication: 
2008
Series/Report no.: 
Discussion papers // School of Economics and Management of the Hanover Leibniz University 388
Abstract: 
This paper analyzes the Steiner-Weber-Problem with piecewise linear or piecewise constant transportation costs. These non-differentiable cost functions are analyzed using different one-step and dynamic linearization methods, which are based on approximations via average and marginal costs. An extensive numerical study compares these approaches with solutions based on linear and geometric regressions of the cost functions. In the numerical examples the dynamic linearization approaches give results near the optimal solutions. The relative deviations of the transportation costs of the approximated solutions to the minimal costs depend on the initialization of the dynamic approaches and improve as the number of demand points increases.
Subjects: 
Steiner-Weber-Problem
Standortplanung in der Ebene
stückweise lineare Transportkosten
Linearisierung
Dynamic Slope Scaling
Document Type: 
Working Paper

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