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: The Search for Optimal Organizational Hierarchies with Homogeneous Manager Cost Functions
: ( ): MAIK Nauka/Interperiodica : 2008 : .. : Automation and Remote Control () : 1 : 69 : Goubko (Gubko) M. V. The Search for Optimal Organizational Hierarchies with Homogeneous Manager Cost Functions // Automation and Remote Control. V. 69, No 1, pp 89-104, 2008. (translation from Russian) : The problem of organizational structure formation is considered as a problem of discrete optimization, i.e., the search for an admissible hierarchy minimizing total costs on the maintenance of its managers. The problem is solved for the case of so-called homogeneous manager cost functions. It was proved that each manager of the optimal hierarchy has an approximately equal number of immediate subordinates and divides the department subordinate to him among them in a roughly identical proportion. A closed-form expression is obtained for the lower-bound estimate of the optimal hierarchy cost. The lower-bound has numerous applications. In many cases, it allows constructing nearly optimal organizational hierarchies. PACS number 89.75.Fb Original Russian Text M.V. Gubko, 2008, published in Avtomatika i Telemekhanika, 2008, No. 1, pp. 97113. This work was supported by Academician Fedorenko International Scientific Foundation of Economic Research and the Russian Foundation for Basic Research, project no. 07-07-00078-a : ( ) : : / : : Goubko M. V. : (pdf) : (php) : () : 5041, : 3490, : 20. |