Successive linear programming at Exxon

Article Abstract:

Since 1965, successive linear programming has enjoyed several applications in the oil refinery industry. Recent research performed by Exxon Corp. has addressed the application of nonlinear occurrences as 'mostly linear' phenomena, which should be modeled using mostly linear models. Certain nonlinearities in the refining and petrochemical industries are identified and discussed from the standpoint of applying the Exxon mostly linear models to these occurrences. A multiplicative formulation for linearized problems representing actually nonlinear occurrences is proposed, and a successive linear programming model is developed whose algorithms are then applied to trust regions.

Management, Linear programming, Case studies, Natural gas exploration, Petroleum refineries, Oil and gas exploration, Petroleum exploration, Exxon Chemical Co.

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Successive Linear Programming at Exxon

Article Abstract:

Successive Linear Programming (SLP) has been used extensively in the refining and petrochemical industries for over 20 years. This paper concentrates on some recent work at Exxon to unify the treatment of nonlinear terms in 'mostly linear' models. We first discuss the source of nonlinearities in refining and petrochemical problems and propose multiplicative formulation for the linearized subproblems to be solved by SLP. We then describe a SLP algorithm which is shown to be related to the concept of trust regions. Finally, we present an example formulation and computational results for a series of large industrial applications. (Reprinted by Permission of Publisher.)

Chemical industry, Exxon Mobil Corp., Algorithm, Optimization theory, Modeling, Data modeling software, Applications, Nonlinear Programming, Mathematical Programming, Management Science

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Extending planning languages to include optimization capabilities

Article Abstract:

The use of spreadsheets and planning languages has become very popular. For large computer systems, the System W, IFPS, and FCS-EPS are highly used; but for personal computers, 1-2-3 and Multiplan are most popular. Presently, these languages function mostly as simulators for examining certain cases. A technique is evaluated that can be used in the design of the optimal capability for such languages.

Usage, Programming languages, Spreadsheets, Spreadsheet software

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