**:** . .,

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**:**
**:**
**:**
**:** 2011
**:** ..

** :**
**:** 32
**:** . ., . ., . . / . 32. .: , 2011. .205-220.

**. :** 0421100023\0010

**:**
** :** , , , ,

** (.):** mathematical modeling, nonlinear optimization, minimization problems, numerical techniques, heat supply networks

**:** , , ( ), ( ). , . , , . , .

** (.):** The method is suggested to solve one of the most important problems in the field of effective heat supply both in the case of the strong hydraulic deregulation of a heating system (a static problem) and in the case of varying thermal loadings (a dynamic problem). The numerical procedure is developed for heating system analysis and optimization, which allows solving heat-consumption regime optimization and control problems for considerably large heat networks. Both static and dynamic problems are shown to reduce to a single general nonlinear optimization problem. The optimization algorithm is built where goal function minimization is carried out in an iterative process using the method of coordinate-wise descent.

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