Theoretical Estimate of the Total Shelf Length in a Gas Fields Model

Abstract

The authors consider a continuous dynamic approximating model of a gas fields group and, on its basis, set maximum and minimum issues. The tasks proposed for research are optimal control problems with mixed constraints with free-final-time and moving right end. We analytically solve the rapid-action problem. The central mathematical apparatus is Pontryagin maximum principle in Arrow form, using Lagrange multipliers. The theoretically obtained results of the analysis are of particular interest.

Keywords

• optimal control
• maximum principle
• mixed constraint
• free-final-time
• moving right end
• lagrange multipliers