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: Optimal hierarchies of control for cost functions presentable as sum of homogenous functions
: ( ): MAIK-Nauka : 2010 : .. : Automation and Remote Control () : 9 : 71 : Goubko M. V. Optimal hierarchies of control for cost functions presentable as sum of homogenous functions / Automation and Remote Control. V. 71, No. 9, 2010. pp 1913-1926. (Translation from Russian) : The problem of rational organizational structure formation is considered. The problem is reduced to the discrete optimization problem of searching a hierarchy of managers that minimizes certain criterion (normally, the cost of hierarchy maintenance). Cost functions which can be written as a sum of homogenous function are analyzed. The conditions are derived when an optimal hierarchy has the constant span of control, a closed-form expression for the lower-bound estimate of optimal hierarchy cost is found, and an example of hierarchy calculation is given. Original Russian Text M.V. Goubko, 2009, published in Problemy Upravleniya, 2009, No. 3, pp. 4453. : ( ) : : / : : Goubko M. V. : () : 5189, : 9103, : 9. |