From f6ba35a5eefa7209e44c76d28af76b39d7aaddfd Mon Sep 17 00:00:00 2001 From: Craig Warren Date: Tue, 3 May 2016 16:00:22 +0100 Subject: [PATCH] Added beginnings of docs for Taguchi optimisation. --- docs/source/images/taguchi_process.png | Bin 0 -> 93777 bytes docs/source/index.rst | 1 + docs/source/references.rst | 2 ++ docs/source/user_libs_antennas.rst | 7 ++-- docs/source/user_libs_austinman.rst | 2 ++ docs/source/user_libs_opt_taguchi.rst | 46 +++++++++++++++++++++++++ 6 files changed, 54 insertions(+), 4 deletions(-) create mode 100644 docs/source/images/taguchi_process.png create mode 100644 docs/source/user_libs_opt_taguchi.rst diff --git a/docs/source/images/taguchi_process.png b/docs/source/images/taguchi_process.png new file mode 100644 index 0000000000000000000000000000000000000000..176ab19faa2e036f33db9b25e32dd75c142e743b GIT binary patch literal 93777 zcmeFZWmKHa5(Y?s2oQn?2*KUmEeXNh-5K272}yw9?i$=>a2-OB;K60E;0*3E4D3X{ 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zta?>NWQ+{}2=szjC*^;tV=(0dx;bcfe(Agl7<@z%=(+g-!njQ89VJYEU`%x|wz9vM1ptKXX91CtbyV0uln^FiJUfvugmt{u3skmjU3Mn(!^a zS-AZ_&{rW!q0kzp#yRqXfanh-Z(B~caq!jVKBY+(L zb5{yBh)1qQt7!Z?nreInA=dxHGU;Xh|7HGjM*pwu=JGDSlpJQ{#PYo)JoryRMpe2{ I^48=31H;`g2><{9 literal 0 HcmV?d00001 diff --git a/docs/source/index.rst b/docs/source/index.rst index 702a4dc0..02446957 100644 --- a/docs/source/index.rst +++ b/docs/source/index.rst @@ -37,6 +37,7 @@ gprMax User Guide :caption: User libraries user_libs_antennas + user_libs_opt_taguchi user_libs_austinman .. toctree:: diff --git a/docs/source/references.rst b/docs/source/references.rst index 264f43b1..ee90ade4 100644 --- a/docs/source/references.rst +++ b/docs/source/references.rst @@ -25,6 +25,8 @@ References .. [TUR1997] Turcotte, D. L. (1997). Fractals and chaos in geology and geophysics. Cambridge university press. (http://dx.doi.org/10.1017/cbo9781139174695) .. [VIA2005] Vial, A., Grimault, A. S., Macías, D., Barchiesi, D., & de La Chapelle, M. L. (2005). Improved analytical fit of gold dispersion: Application to the modeling of extinction spectra with a finite-difference time-domain method. Physical Review B, 71(8), 085416. (http://dx.doi.org/10.1103/physrevb.71.085416) .. [WAR2011] Warren, C., & Giannopoulos, A. (2011). Creating finite-difference time-domain models of commercial ground-penetrating radar antennas using Taguchi’s optimization method. Geophysics, 76(2), G37-G47. (http://dx.doi.org/10.1190/1.3548506) +.. [WEN2007a] Weng, W. C., Yang, F., & Elsherbeni, A. (2007). Electromagnetics and antenna optimization using Taguchi’s method. Synthesis Lectures on Computational Electromagnetics, 2(1), 1-94. +.. [WEN2007b] Weng, W. C., Yang, F., & Elsherbeni, A. Z. (2007). Linear antenna array synthesis using Taguchi's method: A novel optimization technique in electromagnetics. Antennas and Propagation, IEEE Transactions on, 55(3), 723-730. .. [WHI2009] Whittow, W. G., & Edwards, R. M. (2009). Effects of averaging procedures for electrical properties at the interface of dissimilar tissues in the human head with finite-difference time-domain modelling. Science, Measurement & Technology, IET, 3(1), 51-58. .. [YEE1966] Yee, K. S. (1966). Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media. IEEE Trans. Antennas Propag, 14(3), 302-307. (http://dx.doi.org/10.1109/TAP.1966.1138693) diff --git a/docs/source/user_libs_antennas.rst b/docs/source/user_libs_antennas.rst index 5088444b..8017b966 100644 --- a/docs/source/user_libs_antennas.rst +++ b/docs/source/user_libs_antennas.rst @@ -1,9 +1,8 @@ - User libraries is a sub-package where useful Python modules contributed by users are stored. -*********** -antennas.py -*********** +******** +Antennas +******** .. code-block:: python diff --git a/docs/source/user_libs_austinman.rst b/docs/source/user_libs_austinman.rst index f523deb4..af585653 100644 --- a/docs/source/user_libs_austinman.rst +++ b/docs/source/user_libs_austinman.rst @@ -1,5 +1,7 @@ User libraries is a sub-package where useful Python modules contributed by users are stored. +**UNDER CONSTRUCTION** + *********************** AustinMan & AustinWoman *********************** diff --git a/docs/source/user_libs_opt_taguchi.rst b/docs/source/user_libs_opt_taguchi.rst new file mode 100644 index 00000000..9c82c8ad --- /dev/null +++ b/docs/source/user_libs_opt_taguchi.rst @@ -0,0 +1,46 @@ +User libraries is a sub-package where useful Python modules contributed by users are stored. + +**UNDER CONSTRUCTION** + +********************** +Optimisation - Taguchi +********************** + +.. code-block:: python + + # Copyright (C) 2015-2016, Craig Warren + # + # This module is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License. + # To view a copy of this license, visit http://creativecommons.org/licenses/by-sa/4.0/. + # + # Please use the attribution at http://dx.doi.org/10.1190/1.3548506 + +The module features an optimisation technique based on Taguchi's method. It allows the user to define parameters in an input file and optimise their values based on a user-defined fitness function. + +Taguchi's method +================ + +Taguchi's method is based on the concept of Orthogonal Array (OA) and has the following advantages: + +* Simple to implement +* Effective in reduction of experiments +* Fast convergence speed +* Global optimum results +* Independence from initial values of optimisation parameters + +Details of Taguchi's method in the context of electromagnetics can be found in [WEN2007a]_ and [WEN2007b]_. The process by which Taguchi's method optimises parameters is illustrated in the following figure. + +.. figure:: images/taguchi_process.png + :width: 300 px + + Process associated with Taguchi's method. + +Implementation +============== + +The module will select from 2 pre-built OAs (http://neilsloane.com/oadir/) depending on the number of parameters to optimise. Currently, up to 7 independent parameters can be optimised, although a method to construct OAs of any size is under testing. + +Fitness functions +----------------- + +A fitness function is required \ No newline at end of file