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**:** 41
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**:** 2013
**:** . ., . ., . . / . 41. .: , 2013. .270-284.

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** (.):** calculus of variations, area logistics, optimization, numerical methods

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** (.):** We consider a placement problem for logistic objects with logistic zones segmentation in the continuous setting (when an object can be placed at any point in a considered area). We reduce this framework to a calculus of variations problem and suggest an algorithm of solution based on the optical-geometrical approach. Then we use this algorithm to solve the problems of municipal infrastructure optimization.

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