Сonstrained optimization model of organization`s operating core

We suggest a constrained optimization model of an organization’s operating core, whose structure consists of a basic technological module and modules of support facilities. The production function of the operating core is represented as a superposition of Leontief production functions corresponding to each of the modules. We reduce the optimization problem to a linear program with a parameterdescribing operational structure of the core. We develop an algorithm of automatic construction of basic equations for each value of the parameter. We solve the problem numerically for a wide range of model variables and parameters. The proposed model may serve as the basis for generalized mechanisms synthesis of organizational system control on the long time interval.