Abstract
Andrusenko E.N. Minimization of the cost of oil and gas borehole by the methods of linear and nonlinear programming. Visnyk National Transport University. Series «Economical sciences». Scientific and Technical Collection. - Kyiv: National Transport University, 2020. - Issue 2 (47). The task is posed of constructing optimal trajectories of oil and gas wells by linear and nonlinear programming methods, as well as the theory of optimal control. The object of study is the geometry of the axial line of deep directional, horizontal and branching trajectories of oil and gas wells. The purpose of the work is to build the optimal trajectory of an oil or gas well, ensuring its minimum cost, minimum length and minimum values of its construction parameters. A technique was developed for optimizing the geometry of the trajectory of an oil or gas well using the methods of optimal control theory. Cases of the formulation of the Lagrange, Mayer, and Boltz problems are considered under various (linear and nonlinear) constraints on the values of phase variables and control functions.
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