# American Institute of Mathematical Sciences

April  2007, 3(2): 257-277. doi: 10.3934/jimo.2007.3.257

## Integrated production system optimization using global optimization techniques

 1 Shell International Production and Exploration B.V, Kesslerpark 1, Postbus 60, 2280 AB Rijswijk, The Netherlands 2 Shell International Production and Exploration B.V, Kesslerpark 1, Postbus 60, 2280 AB Rijswijk, Netherlands 3 Centre for Informatics and Applied Optimization, School of Information Technology and Mathematical Sciences, University of Ballarat, Ballarat, Victoria, 3353 4 WAM Systems Inc., Plymouth Meeting, PA, United States 5 PCS Inc., 129 Glenforest Drive, Halifax, NS, Canada B3M 1J2, Canada

Received  September 2006 Revised  January 2007 Published  April 2007

Many optimization problems related to integrated oil and gas production systems are nonconvex and multimodal. Additionally, apart from the innate nonsmoothness of many optimization problems, nonsmooth functions such as minimum and maximum functions may be used to model flow/pressure controllers and cascade mass in the gas gathering and blending networks. In this paper we study the application of different versions of the derivative free Discrete Gradient Method (DGM) as well as the Lipschitz Global Optimizer (LGO) suite to production optimization in integrated oil and gas production systems and their comparison with various local and global solvers used with the General Algebraic Modeling System (GAMS). Four nonconvex and nonsmooth test cases were constructed from a small but realistic integrated gas production system optimization problem. The derivation of the system of equations for the various test cases is also presented. Results demonstrate that DGM is especially effective for solving nonsmooth optimization problems and its two versions are capable global optimization algorithms. We also demonstrate that LGO solves successfully the presented test (as well as other related real-world) problems.
Citation: T. L. Mason, C. Emelle, J. van Berkel, A. M. Bagirov, F. Kampas, J. D. Pintér. Integrated production system optimization using global optimization techniques. Journal of Industrial & Management Optimization, 2007, 3 (2) : 257-277. doi: 10.3934/jimo.2007.3.257
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