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Evaluation of a Gradient Free and a Gradient Based Optimization Algorithm for Industrial Beverage Pasteurisation Described by Different Modeling Variants

Versbach, Lea Miko LU (2016) In Master’s Theses in Mathematical Sciences NUMM11 20161
Mathematics (Faculty of Engineering)
Abstract
Inspired by Krones Group in Holte/Copenhagen, the intention of this thesis is to simulate and optimize pasteurisation processes. Based on different modes of heat transfer, a mathematical model to describe the thermal processes in the product is developed. The main goal of the thesis is to optimize the thermal treatment of the product. Both the derivative-free COBYLA and the gradient-based MMA optimization algorithm are described and evaluated. The optimal results obtained with the NLopt library in Python
are compared and different modeling variants of the optimization problem are developed with regard to their meaningfulness and their numerical behaviour.
Popular Abstract
Pasteurisation is a method used in the food production industry to extend the shelf life of products, mostly beverages. This is achieved by heating the product to a product-specific lethal temperature to inactivate
particular micro-organisms. A Pasteurisation Unit (PU) is defined as one minute of thermal treatment at 60C. Canned beverages are pasteurised by transporting them on a conveyor belt through a tunnel pasteur, where spray water in different temperatures gently heates, pasteurises and cooles the product.
Please use this url to cite or link to this publication:
author
Versbach, Lea Miko LU
supervisor
organization
alternative title
Utvärdering av en Derivata-Fri och en Gradient-Baserad Optimeringsalgoritm för Industriell Pastörisering av Drycker Beskrivna med Olika Modelleringsvarianter
course
NUMM11 20161
year
type
H2 - Master's Degree (Two Years)
subject
keywords
numerical optimization, pasteurization, modeling, food engineering, derivate free
publication/series
Master’s Theses in Mathematical Sciences
report number
LUNFNA-3021-2016
ISSN
1404-6342
other publication id
2016:E11
language
English
id
8881844
date added to LUP
2016-08-23 11:18:05
date last changed
2016-08-23 11:18:05
@misc{8881844,
  abstract     = {Inspired by Krones Group in Holte/Copenhagen, the intention of this thesis is to simulate and optimize pasteurisation processes. Based on different modes of heat transfer, a mathematical model to describe the thermal processes in the product is developed. The main goal of the thesis is to optimize the thermal treatment of the product. Both the derivative-free COBYLA and the gradient-based MMA optimization algorithm are described and evaluated. The optimal results obtained with the NLopt library in Python
are compared and different modeling variants of the optimization problem are developed with regard to their meaningfulness and their numerical behaviour.},
  author       = {Versbach, Lea Miko},
  issn         = {1404-6342},
  keyword      = {numerical optimization,pasteurization,modeling,food engineering,derivate free},
  language     = {eng},
  note         = {Student Paper},
  series       = {Master’s Theses in Mathematical Sciences},
  title        = {Evaluation of a Gradient Free and a Gradient Based Optimization Algorithm for Industrial Beverage Pasteurisation Described by Different Modeling Variants},
  year         = {2016},
}