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.

Nobel laureates’ contributions to and impacts on operations management

“…Row 12: The comment by Pauly (1968) on Arrow (1963) that full coverage may not be optimal under conditions of moral hazard. That along with a further comment by Becker (1968), Stigler (1970), Becker and Stigler (1974), Schelling (1978) Sethi (1979), Feichtinger (1983, Gerchak and Parlar (1985), Caulkins et al (2014) Kurz (1970) Sethi (1973), Pekelman (1974), Hartl and Sethi (1984), Hartl (1992), Skiba and Skiba (2021) 9 Peak-load pricing Williamson (1966Williamson ( , 1974 de Salvia (1969), Chao (1983) Transaction cost economics Coase (1937Coase ( , 1960Coase ( , 1992, Williamson (2008Williamson ( , 2010 Bajari and Tadelis (2001), Argyres and Mayer (2007), Xue and Field (2008), Handley (2017), Ketokivi and Mahoney (2020) *Table 4 by Row Numbers: Row 1: Caines et al (1981) provide a method of multivariable causality detection. Row 2: See Sethi (2021a) for the relationship between certainty equivalent and the separation principle of the Kalman (1960) filter.…”