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M-Labeled Digraphs: An Aid to the Use of Structural and Simulation Models

James R. Burns, Wayland H. Winstead

Management Science · 1985 · Volume 31 · Issue 3

DOI: 10.1287/mnsc.31.3.343

Abstract

M -labeled digraphs are defined and a technique for determination of the sign of sequences in such digraphs is presented. Conditions under which the sign of a sequence can be determined are derived. This work is motivated by the need to assess the structural effect of an “input” upon the endogenous quantities of an M -labeled digraph. A technique for comparing and combining the effects of structurally redundant inputs is presented. The theoretical development is followed by application to a prototypical Forrester model involving a population sector interactant with a housing sector.

Keywords

forrester models, signed digraphs, simulation, structural modeling

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