Global minimization of a cooled reactor by using a posynomial lower bounding function | Zendy

Wilde Douglass J. | Zendy

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Global minimization of a cooled reactor by using a posynomial lower bounding function

Author(s) -

Wilde Douglass J.

Publication year - 1976

Publication title -

aiche journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.958

H-Index - 167

eISSN - 1547-5905

pISSN - 0001-1541

DOI - 10.1002/aic.690220409

Subject(s) - bounding overwatch , maxima and minima , geometric programming , bounded function , function (biology) , minification , mathematical optimization , power (physics) , mathematics , scale (ratio) , computer science , mathematical analysis , physics , thermodynamics , quantum mechanics , artificial intelligence , evolutionary biology , biology

The cost of a reactor‐heater system with an auxiliary cooler can have at least two local minima and a local maximum, with respect to the design variables: temperature and extent of reaction. This cost can be bounded below by a unimodal function which, being a posynomial (a sum of power functions), can be minimized efficiently by geometric programming. Construction of this lower bounding function is not obvious, since the cost involves both a definite intergral and economies of scale.

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