ƹƾŞƈƗƽŚƷƶĪŞƃŻřƵŵŚƠŤſřŚŝƶŴſŚěŶƴģŶƴƿōźƟƽŻŚſƶƴǀƸŝ
ĨǀŤƳĥƮŤƿŹƺĮƫř

ƾŰƫŚƇƾŞŤŬƯƹŚǀƳŽŚưƬſƾƬƗƵŵřŻƮƓŚƧƱřŹŵřźŝŚƋŹ*ƽźƇŚƳƲǀƯřŚƋŹŶưŰƯ
ƵŶǀĪģƽŶǀƬĩšŚưƬĩ

ŭƺƐſƶŝƾŝŚǀŤſŵƽřźŝŶƴƿřźƟƽŚƷźǀƜŤƯƮǀƔƴţŚŝƾƘƣřƹƽŚǀƳŵƽŻŚſƶƴǀƸŝƪƿŚƀƯźŤƄǀŝŹŵ ŲſŚěŮƐſŶƴģŚŝƪƿŚƀƯƽŻŚſƶƴǀƸŝ ŚŝŜƬƛřƽŻŚſƶƴǀƸŝƩƺưƘƯƽŚƷŶŤƯƮǀŤƀƷƶūřƺƯŲſŚěƽŚƷźǀƜŤƯƾūƹźųƽŚƷźǀƜŤƯśƺƬƐƯ ƾģƺĭŚţƁƹŹ ŚƷĨǀƴĪţƲƿřƱŚǀƯŹŵŶƳƺƃƾƯŻŚƛōƾƫźŤƴĩƽŚƷźǀƜŤƯŚŝŲſŚěźǀƜŤƯƲǀŝƶƐŝřŹƲǀưŴţ ƾƗƺƴƈƯƾŞƈƗƽŚƷƶĪŞƃ ŵƺųƶŝźǀųřƽŚƷƩŚſƾƏŹŵřŹƽŹŚǀƀŝƶūƺţƾĭŵŚſŢƬƗƶŝ(RSM)æŲſŚěŮƐſƽĥƺƫƹŶŤƯ ĨǀŤƳĥƮŤƿŹƺĮƫř
ƵŶǀĤǀěŹŶƤƳōƾƫźŤƴĩƽŚƷŹƺŤĩŚƟŚŝŲſŚěźǀƜŤƯƲǀŝƍŚŞţŹřŵŹřƺƯƾƌƘŝŹŵ ƾƫƹŢſřƵŵźĩŜƬū
ƱōŻřƾŞſŚƴƯƲǀưŴţƶŝƽřƶƬưūŶƴģƱƺǀſźĭŹƽŚƷƩŶƯŚŝƱřƺţƾưƳƝźƏĨƿŻřƶĩŢſř
ƵřźưƷƾţLjĪƄƯŚŝçƢǀƣŵƽŚƷƁƹŹŚŝƽŻŚſƶƴǀƸŝƶƫŚƀƯƲǀƴģƪůźĮƿŵƝźƏŻřƹŢƟŚƿŢſŵ
ƖŝřƺţƲǀưŴţƽřźŝƾƗƺƴƈƯƾŞƈƗƶĪŞƃŻřƵŵŚƠŤſřƶƫŚƤƯƲƿřŹŵƵŶƃƶŗřŹřƲƿżĮƿŚūŵźĪƿƹŹ Ţſř ƾģƺĭŚţƁƹŹĨưĩƶŝƲǀƴĤưƷŵźĪƿƹŹƲƿřŢſřƽŻŚſƶƴǀƸŝŶƴƿōźƟŹŵĨǀŤƳĥƮŤƿŹƺĮƫřƹŲſŚě ƾĭŶƴĩřźěźŧřŻřŢƬƠƛƶĩƶŴſŚěŶƴģƽŚƷŵźĪƿƹŹƩƺưƘƯŢƿŵƹŶŰƯƱŵźĩƝźƏźŝŹŵƾƘſ
ŻřƵŶƯōŢſŵƶŝƶƴǀƸŝŜǀĩźţŶƴĩƾƯƾŝŚƿŻŹř(SN)ÐƩLjŤųř ƝŶƷŹřŶƤƯƶŝřŹŲſŚěźǀƜŤƯƲǀĮƳŚǀƯƝźƏĨƿŻřƾģƺĭŚţƁƹŹ ŶƷŵƾƯƂƷŚĩřŹƱōžƳŚƿŹřƹźĮƿŵƝźƏŻřƹŶƴĩƾƯĨƿŵżƳ ŹŚĩƹźſŲſŚěźǀƜŤƯĨƿŻřƂǀŝŚŝƾŤƘƴƇƪƿŚƀƯźŤƄǀŝŹŵ
1268732040128Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017

Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017

ŢſřŹřŵŹƺųźŝƽřƵĦƿƹŢǀưƷřŻřŚƸƳōƱŚƯżưƷŵƺŞƸŝƹƮƿŹřŵ šƹŚƠŤƯŲſŚěƽŚƷźǀƜŤƯƱŚƯżưƷƽŻŚſƶƴǀƸŝŹŵƩƺưƘƯƪĪƄƯ ƶŬǀŤƳŹŵŢſřŚƷƱōƾĮƴǀƸŝŢƸūƱŵƺŝƱŵƺŝŵŚƌŤƯŚƷŚĭƹ ƶŝźŬƴƯŲſŚěźǀƜŤƯĨƿƶŝŢŞƀƳŶǀƫƺţŶƴƿōźƟƽŻŚſƶƴǀƸŝ ƾģƺĭŚţƁƹŹƾƫƹŵƺƃƾƯŚƷŲſŚěźƿŚſƶƴǀƸŝźǀƛźƿŵŚƤƯ ƶƴǀƸŝƶŝřżŬƯšŹƺƇƶŝƶŴſŚěŶƴģƪƿŚƀƯŚŝŵŹƺųźŝƭŚĮƴƷ ŽŶƴƸƯźƔƳƢŞƏŚŤƿŚƸƳƹŵŻřŵźěƾƯŲſŚěƽŚƷźǀƜŤƯƽŻŚſ ƲƿřŻřŵƺƃƾƯƆŴƄƯŭźƏƽŚƷźǀƜŤƯƶƴǀƸŝŜǀĩźţŶƴƿōźƟ
ŻřŵŻřŵźĜŝŚƷŲſŚěƱŚƯżưƷƽŻŚſƶƴǀƸŝƶŝƶĩƾƃƹŹƾůřźƏƹŹ
ŢſřŹřŵŹƺųźŝƾƇŚųŢǀưƷř ƲǀưŴţŚƷŲſŚěƽŻŚſƶƴǀƸŝŶƴƿōźƟŹŵźĮƿŵƶūƺţƪŝŚƣƶŤĪƳ ƽŹŚǀƀŝŵŹřƺƯŹŵŢſřƾƫźŤƴĩƽŚƷźǀƜŤƯƹŲſŚěƲǀŝƶƐŝřŹ
źǀƜŤƯƹŲſŚěƲǀŝƶƐŝřŹŜſŚƴƯƲǀưŴţƾƿŚƳřƺţƾƳƺǀſźĭŹƎŝřƹŹ
ƽřźŝŜſŚƴƯƲƿżĮƿŚūŹřżŝřĨƿŵŹřƺƯƲƿřŹŵŶƳŹřŶƳřŹŭźƏƽŚƷ

3 Signal to Noise
ŵŹřŵŢſřŲſŚěŭƺƐſ
-309243035979

ÎƶƯŶƤƯ æ
ƽřźŝƾŤƘƴƇŶƴƿōźƟĨƿƶŝƩźŤƴĩƪŝŚƣƽŵƹŹƹƽŚƷźǀƜŤƯƮǀƔƴţ ŹŵƩƺưƘƯƪƿŚƀƯŻřƾĪƿŜſŚƴƯƾţŚǀƬưƗƎƿřźƃƶŝƾŝŚǀŤſŵ ƽŚƷźǀƜŤƯ ƮǀƔƴţ Źŵ ÏƭƹŚƤƯ ŭźƏ Ĩƿ Ţſř ŢǀƠǀĩ ƩźŤƴĩ
řŹŲſŚěźǀƜŤƯƾƠǀĩƶƈŴƄƯƾĭŶƴĩřźěƹƾƳŚĪƯšřźŧřƾƫźŤƴĩ ƶĩŢſřƽŵźĪƿƹŹ[æ,ç]ƾģƺĭŚţƁƹŹ ŵźǀĭƾƯźƔƳŹŵŚƯřƺţ ƾƯŹřźƣƵŵŚƠŤſřŵŹƺƯƭƹŚƤƯŭźƏĨƿƶŝƾŝŚǀŤſŵƽřźŝŚţŶưƗ
ƶŝƩŚƴĮǀſŢŞƀƳŻřƵŵŚƠŤſřŚŝřŹƩƺƈŰƯŢǀƠǀĩƁƹŹƲƿřŵźǀĭ
îåçæçƩƺƇƹŲƿŹŚţ îåèçêŜƿƺƈţŲƿŹŚţ ƾſŶƴƸƯ ŹŚǀƄƳřŵ ƽźƇŚƳƲǀƯřŚƋŹŶưŰƯźŤĩŵ ƶƫŚƤƯƩƺŘƀƯƵŶƴƀƿƺƳ*

Ʊřźƿř ƱřźƸţ ŽŹŶƯ Ţǀŝźţ ƵŚĮƄƳřŵ ƾſŶƴƸƯ ƹ ƾƴƟ ƵŶƨƄƳřŵ ƖƿŚƴƇ
amin_nas@modares.ac.ir
ƹ ƾƴƟ ƵŶƨƄƳřŵ ƖƿŚƴƇ ƾſŶƴƸƯ ŹŚǀƄƳřŵ ƵŵřŻ ƮƓŚƧ ƱřŹŵřźŝ ŚƋŹ źŤĩŵ
rkazem@modares.ac.irƱřźƿřƱřźƸţŽŹŶƯŢǀŝźţƵŚĮƄƳřŵƾſŶƴƸƯ
ƾſŶƴƸƯƹƾƴƟƵŶƨƄƳřŵƖƿŚƴƇƾſŶƴƸƯįźŤĩŵįƺŬƄƳřŵŚǀƳŽŚưƬſƾƬƗ
ali.salmasnia.85@gmail.comƱřźƿřƱřźƸţŽŹŶƯŢǀŝźţƵŚĮƄƳřŵ
ƾſŶƴƸƯƹƾƴƟƵŶƨƄƳřŵƖƿŚƴƇƾſŶƴƸƯįźŤĩŵįƺŬƄƳřŵƾŰƫŚƇƾŞŤŬƯ
m_salehi61@yahoo.comƱřźƿřƱřźƸţŽŹŶƯŢǀŝźţƵŚĮƄƳřŵ
Response Surface Methodology
exact method
2 Robust Design
çæìƾŰƫŚƇƾŞŤŬƯƹŚǀƳŽŚưƬſƾƬƗƵŵřŻƮƓŚƧƱřŹŵřźŝŚƋŹƽźƇŚƳƲǀƯřŚƋŹŶưŰƯƶĪŞƃŻřƵŵŚƠŤſřŚŝƶŴſŚěŶƴģŶƴƿōźƟƽŻŚſƶƴǀƸŝ
ƱŵřŵŹřźƣƪƯŚƃƩƹřƶŤſŵŵŹřŵƾĮŤƀŝƶƫŚƀƯƾĭŶǀĤǀěƹƵŻřŶƳř ƽřƶƤƐƴƯƱŵźƧřŶǀěƹźĮƿŶƨƿƽƹŹźŝŚƷŲſŚěŹƺŤƳŚƧƽŚƷŹřŵƺưƳ
ƹ Myers ŶƳƺƃƾƯ ŌŚƋŹř ƞƬŤŴƯ ƽŚƷŲſŚě ƶƧ Ţſř
ƶĪǀƳŚƯŻƎƤƟŵźĪƿƹŹƲƿřƶĩŶƴƴĩƾƯƱŚǀŝ[í]Montgomery
ƭƹŵƶŤſŵŶƃŚŝźŧƺƯŶƳřƺţƾƯŶƃŚŝƮĩŭźƏƽŚƷźǀƜŤƯŵřŶƘţ ƽŻŚſƶƴǀƸŝƶƫŚƀƯĨƿšŹƺƇƶŝƶŴſŚěŶƴģƶƫŚƀƯƱŵźĩƶƫƺƯźƟ ƲƿřƶŝƶĩřŹšŚǀŝŵřŹŵŵƺūƺƯƽŚƷŵźĪƿƹŹŢſřŹřŵŢƿŵƹŶŰƯ ŵźĩƮǀƀƤţƾƬĩƶƗƺưŬƯźƿŻƹŵƶŝƱřƺţƾƯŶƳŻřŵźěƾƯƶŤſŵ
śŚŴŤƳřƝŶƷƖŝŚţƱřƺƴƗƶŝŲſŚěźǀƜŤƯĨƿƩƹřƶƗƺưŬƯźƿŻŹŵ ƾƯŵŹřƹƩŶƯŹŵŢƿŵƹŶŰƯƱřƺƴƗƶŝŚƷŲſŚěƶǀƤŝƹŵƺƃƾƯ źǀƜŤƯĨƿśŚŴŤƳřƶĩŢſřƱōŚƷŵźĪƿƹŹƲƿřƾƬƇřƪĪƄƯŶƳƺƃ ŹŵŢƀǀƳƾƳŚſōŹŚĩŵŹřƺƯźŤƄǀŝŹŵƝŶƷƖŝŚţƱřƺƴƗƶŝŲſŚě ƖŝŚţŹŵŻŚſƮưƿżĩŚƯŚƿƮưǀƳƾƯźĮƬưƗĨƿŻřƭƹŵƶƗƺưŬƯźƿŻ
ƱřƺƴƗ ƶŝ ŲſŚě ƽŚƷ źǀƜŤƯ ƶưƷ ƹ ŵƺƃ ƾƯ ƵŵŚƠŤſř ƝŶƷ
ŶƳƺƃƾƯŵŹřƹƩŶƯŹŵŢƿŵƹŶŰƯ
ƶŝŚƷƱōƝźƇƶūƺţŚƷŵźĪƿƹŹƲƿřƶŝƵŶƃŵŹřƹŵřźƿřƲƿźŤưƸƯ
ƶūŹŵƱřżǀƯŻřŢƬƠƛƹŢƿŚƋŹƶūŹŵƮưǀƳƾƯŚŝŲſŚěźǀƜŤƯ ƶŝźŬƴƯŵŹřƺƯƾƌƘŝŹŵźƯřƲƿřƶĩŢſřŚƷŲſŚěźƿŚſŢƿŚƋŹ ƱřƺţƾƯŚƷŵźĪƿƹŹƲƿřƶƬưūŻřŵƺƃƾƯƾƤƐƴƯźǀƛƽŚƷśřƺū
šŚƤǀƤŰţ[î]æîîë Montgomeryƹ Del Castillo ƶŝ [ææ]æîîîPlante [æå]çååëƽŚƷƩŚſŹŵLinƹKim ƪǀĪƄţƭŚĭƶſŻřƶĩŶƴŤƀƷƾƿŚƷŵźĪƿƹŹƭƺſƶŤſŵ ŵźĩƵŹŚƃř žĜſŵŵźĭƾƯŵŚŬƿřƶƣLjƗŵŹƺƯƽŚƷŲſŚěƩŶƯřŶŤŝřŶƳƺƃƾƯ ƹŵƺƃƾƯƵŵŚƠŤſřŚƸƫŶƯŜǀƧźţƽřźŝŵźƨƿƹŹƦƿƭƹŵƶƬůźƯŹŵ
ƾƯƶƴǀƸŝřŹƩŶƯƽŻŚſƶƴǀƸŝƁƹŹƦƿŻřƵŵŚƠŤſřŚŝŢƿŚƸƳŹŵ ŹŵŵƺūƺƯƶŴſŚěŶƴģƽŻŚſƶƴǀƸŝƽŚƷŵźĪƿƹŹźŤƄǀŝŶƴƧ ŹŵŚƷƱōƲǀŝšƹŚƠţƵŶưƗƹŶƳŹřŵƅŚƈŤųřƶŤſŵƲƿřƶŝšŚǀŝŵř ŢſřƵŵŚƠŤſřŵŹƺƯƽŻŚſƶƴǀƸŝƁƹŹƹŚƷŲſŚěƖǀưŬţƁƹŹ
ƲǀŝƶƐŝřŹƲǀưŴţƾƴƘƿƩƹřƭŚĭƭŚŬƳřƽřźŝƾƠƬŤŴƯƽŚƷƁƹŹ ƭŚŬƳřƽřźŝŶŤƯƲƿźţƩƺưƘƯŵŹřŵŵƺūƹŭźƏƽŚƷźǀƜŤƯƹŲſŚě ƾƬĩŢƫŚůŹŵƾƫƹŢſř(OLS)ΚŚƘŝźƯƪƣřŶůƁƹŹŹŚĩƲƿř ƶƐŝřŹƾĭŶǀĤǀěƱřżǀƯƶŝŹƺƔƴƯƲƿřƽřźŝƵŶƃśŚŴŤƳřƁƹŹ ÏŚƐųƖŝźƯƲǀĮƳŚǀƯīżŝźƿŵŚƤƯŵŹřƺƯƾƌƘŝŹŵŵŹřŵƾĮŤƀŝ ƎŝřƹŹƞǀƇƺţƞǀƘƋŢǀƠǀĩŻřƱŚƄƳƶĩƱƺǀſźĭŹƽŚƷƩŶƯ
ƪĪƄƯƲƿř[æç]ƱřŹŚĪưƷƹkim ŵƺƃƾƯƵŶƷŚƄƯŵŹřŵŹƺĩŸƯ ƩLjƤŤſřƉźƟƊƤƳæŶƷŵƾƯűŹŢƬƗƹŵƶŝŵŹřƺƯźŤƄǀŝŹŵ
źǀƜŤƯƹŲſŚěƲǀŝƶƐŝřŹƱŵƺŝƵŶǀĤǀěçƽŵƹŹƹƽŚƷźǀƜŤƯ
[æè]ƾƫźŤƴĩƽŚƷ (ANN) ÐƾƗƺƴƈƯƾŞƈƗƽŚƷƶĪŞƃŻřƵŵŚƠŤſřŵŹřƺƯƲƿřŹŵ
ƭŚŬƳřƽřźŝƖǀưŬţƽŚƷƁƹŹƲƿźŤƟƹźƘƯ[è,ì]ŢſřƵŶƃƶǀƇƺţ

Ordinary List Square
Mean Square Error
1268732040128Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017

Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017

ƾƗƺƴƈƯƾŞƈƗƽŚƷƶĪŞƃŜſŚƴƯƲǀưŴţĨƿƶŝƾŝŚǀŤſŵ ƾŞƈƗƽŚƷƶĪŞƃŽŚſřźŝŵźĪƿƹŹĨƿ [è]HsiehƹSuŶƴŤƀƷ
ĨƿƶĪǀƳŚƯŻƎƤƟƁƹŹƲƿřŚƯřŶƳŵřŵŵŚƸƴƄǀěƾģƺĭŚţŶŤƯƹ
ŢſřŵźŝŹŚĩƪŝŚƣƮƿŹřŵŲſŚěźǀƜŤƯ ƪƿŚƀƯƪůƽřźŝƽŵźĪƿƹŹçååæƩŚſŹŵ[é]TongƹHsieh ŹŵŶƳŵźĩƶŗřŹřƾŞƈƗƽŚƷƶĪŞƃŻřƵŵŚƠŤſřŚŝŲſŚěŮƐſŶƴģŚŝ ƽŚƷŹƺŤĩŚƟŹřŵźŝƞƄĩƽřźŝƾĪƿƾŞƈƗƶĪŞƃƹŵŻřŵźĪƿƹŹƲƿř ŵƺƃƾƯƵŵŚƠŤſřŚƷŲſŚěƲǀưŴţƽřźŝƽźĮƿŵƹƶƴǀƸŝƾƫźŤƴĩ ŻřƵŵŚƠŤſřƶŝŚƄƯƽŹŚĩŹŵżǀƳ[ê]ƱřŹŚĪưƷƹ Noorossana
ƽřźŝƲƿżĮƿŚūŵźĪƿƹŹĨƿƱřƺƴƗƶŝřŹƾƗƺƴƈƯƾŞƈƗƽŚƷƶĪŞƃ
ŶƳŵźĩƾƟźƘƯŲſŚěƽŚƷźǀƜŤƯƲǀưŴţ ƖǀưŬţƶŝ[ë]ƱřŹŚĪưƷƹOrtizŢǀŝƺƬƐƯƖŝŚţŻřƵŵŚƠŤſřŚŝŚƸƳō ƶƴǀƸŝŻŚƟŹŵĨǀŤƳĥƮŤƿŹƺĮƫřŻřƹŶƴŤųřŵźěŲſŚěƽŚƷźǀƜŤƯ ƹŵŻřƵŵŚƠŤſřŚŝçååëƩŚſŹŵ [ì]HsiehŶƳŵźĩƵŵŚƠŤſřƽŻŚſ
źŝƶĩŵźĩƶŗřŹřƶŴſŚěŶƴģƪƿŚƀƯƪůƽřźŝƾƃƹŹƾŞƈƗƶĪŞƃ ƽŚƷŹƺŤĩŚƟźŧřƾŞƈƗƶĪŞƃƽŚƴŞƯźŝƽŚƷŵźĪƿƹŹźƿŚſƝLjų ƶſŻřƭřŶĪĤǀƷŵŹƹōƾƯŢſŵƶŝřŹŲſŚěźǀƜŤƯƽƹŹƾƫźŤƴĩ řŹŚƷŲſŚěƾĭŶƴĩřźěźŧřŹƺĩŸƯƶŴſŚěŶƴģƽŻŚſƶƴǀƸŝŵźĪƿƹŹ ŶƴƴĩƾƯƉźƟŚƷŵźĪƿƹŹƲƿřźĮƿŵšŹŚŞƗƶŝŶƳźǀĭƾưƳźƔƳŹŵ ŻřŢſřŢŝŚŧƾƄƿŚƯŻōƽŚƌƟƽƹŹŲſŚěƽŚƷźǀƜŤƯžƳŚƿŹřƹƶĩ
ŲſŚěƲǀŝƵŶǀĤǀěƎŝřƹŹŚŝƾƘƣřƹƽŚǀƳŵƪƿŚƀƯźŤƄǀŝŹŵƶĪǀƿŚŬƳō
ƶŝƶƘƫŚƐƯƲƿřŹŵƹŹƲƿřŻřƮǀŤƀƷƶūřƺƯƾƫźŤƴĩƽŚƷŹƺŤĩŚƟƹ ƶĪǀŤƣƹŲſŚěŮƐſŶƴģŚŝƪƿŚƀƯƽŻŚſƶŤǀƸŝƽřźŝƾƃƹŹƶŗřŹř
źǀƜŤƯƹŲſŚěƲǀŝƶƐŝřŹŜſŚƴƯƲǀưŴţƾƿŚƳřƺţƾƳƺǀſźĭŹƎŝřƹŹ
ƮƿŻřŵźěƾƯŶƳŹřŶƳřŹŭźƏƽŚƷ
ƽƹŹŲſŚěƽŚƷźǀƜŤƯžƳŚƿŹřƹƱŵƺŝŢŝŚŧƉźƟƶĪƳōƶŝƶūƺţŚŝ ƵŶƃƶŗřŹřŵźĪƿƹŹŢſřƾƬưƗźǀƛƪƿŚƀƯźŤƄǀŝŹŵƾƄƿŚƯŻōƽŚƌƟ ƽřźŝƽźƿŵŚƤƯśŚŴŤƳřŹŵƾƘſŚƷŲſŚěžƳŚƿŹřƹƲŤƟźĭźƔƳŹŵŚŝ ƶŝŢŞƀƳřŹŢǀſŚƀůƪƣřŶůŚƷŲſŚěƶĩŵŹřŵƾƫźŤƴĩƽŚƷźǀƜŤƯ źĩŷƪŝŚƣƾĭĦƿƹŶƴƃŚŝƶŤƃřŵƩLjŤųřƾƫźŤƴĩźǀƛƽŚƷŹƺŤĩŚƟ ŢſřŚƷŲſŚěƾŞƀƳƱŻƹƲŤƟźĭźƔƳŹŵƽŵŚƸƴƄǀěŵźĪƿƹŹźĮƿŵ
ŶƴģŚŝƪƿŚƀƯƽŻŚſƶƴǀƸŝšŚǀŝŵřŹƹźƯƶŝƢǀƤŰţƲƿřçƂŴŝŹŵ ƾŞƈƗ ƽŚƷ ƶĪŞƃ ƽŹƺŘţ èƂŴŝ ƮƿŻřŵźě ƾƯ ŲſŚě ŮƐſ éƂŴŝŹŵƵŶƃƶŗřŹřƮŤƿŹƺĮƫřŶƴĩƾƯƾƴǀŝŻŚŝřŹƾƗƺƴƈƯ
ĨƿƵŶƃƶŗřŹřŵźĪƿƹŹƽźƿŸěźǀŧŚţƂƿŚưƳƽřźŝŵƺƃƾƯƾƟźƘƯ
ƶƇLjųëƂŴŝŹŵŚŤƿŚƸƳŢſřƵŶƃƵŵŹƹřêƂŴŝŹŵƽŵŶƗƩŚŨƯ
ƵŵŹƹōƵŶƯōŢſŵƶŝŪƿŚŤƳƹƵŶƃƶŗřŹřŵźĪƿƹŹƽŚƷƾĭĦƿƹŻřƽř ŢſřƵŶƃ
šŚǀŝŵřŹƹźƯç
ŲſŚěŮƐſŶƴģŚŝƪŗŚƀƯƽŻŚſƶƴǀƸŝƽřźŝƾƠƬŤŴƯƽŚƷƁƹŹ řŹŵƺūƺƯƽŚƸƃƹŹ [ë]ƂƳřŹŚĪưƷƹOrtiz ŢſřƵŶƃŵŚƸƴƄǀě ƶŝƁƹŹźƷŵźƨƬưƗŶƴƴƧƾƯƽŶƴŝƶƤŞƏƾſŚſřƶŤſŵƶſƶŝ
3 Artificial Neural Network

ƾŰƫŚƇƾŞŤŬƯƹŚǀƳŽŚưƬſƾƬƗƵŵřŻƮƓŚƧƱřŹŵřźŝŚƋŹƽźƇŚƳƲǀƯřŚƋŹŶưŰƯƶĪŞƃŻřƵŵŚƠŤſřŚŝƶŴſŚěŶƴģŶƴƿōźƟƽŻŚſƶƴǀƸŝçæí
ŵźĪƿƹŹŻřƾƇŚųƕƺƳ Conlonƹ KhuriƩŶƯƶĩŢſřƶūƺţ
ƶŤƟźĭźƔƳŹŵ Cy (x) 1 ƶĪǀƯŚĮƴƷŢſř Pignatiello
Śŝ řŹ Pignatiello ƩŶƯæîîí ƩŚſ Źŵ [çå] Vining ŵƺƃ
ŢƿżƯŵźĩŭLjƇř  y(x) ƽŚūƶŝ y (x) ƱŵźĩƲƿżĮƿŚū
ŢǀƠǀĩƲŤƟźĭźƔƳŹŵƶŝƩŶƯƲŤųŚſŚƳřƺţƾƴƿżĮƿŚūƲƿřƾƬƇř ƹ AmesŢſřƽŻŚſƶƴǀƸŝŶƴƿōźƟŹŵŚƷŲſŚěƾƴǀŝƂǀě ƽŚƷƩŶƯŽŚſřźŝřŹŢǀƠǀĩƱŚƿŻƖŝŚţŵźĪƿƹŹ[æì]ƂƳřŹŚĪưƷ ŶƳŵźĩƶŗřŹřŲſŚěŮƐſŶƴģŚŝƪƿŚƀƯƪůƽřźŝŲſŚěŮƐſ ƽŻŚſƮưǀƳƾƯƹŚƷŲſŚěƖǀưŬţŚƟźƇŵźĪƿƹŹƲƿřƾƬƇřƝŶƷ [æí]ƂƳřŹŚĪưƷƹKoźƔƳƢŞƏŢſřƝŶƷźƿŵŚƤƯŻřŚƸƳōƝřźŰƳř ƶſƽřŹřŵŶƿŚŝŲſŚěƽŚƷźǀƜŤƯƖǀưŬţƽřźŝŜſŚƴƯŵźĪƿƹŹĨƿ ŶƃŚŝƾƴǀŝƂǀěƽLJŚŝŢǀƠǀĩƹLJŚŝÒŢƯƹŚƤƯƮĩƾŞƿŹřƾĭĦƿƹ
ĨƿŵżƳƱŚƄƟřŶƷřƶŝŚƷŲſŚěŹŚƔŤƳřŵŹƺƯŹřŶƤƯƶĩƾƴƘƯƲƿŶŝ
ƮĩƵŶƃƾƴǀŝƂǀěƽŚƷŲſŚěžƳŚƿŹřƹƹŚƷŲſŚěžƳŚƿŹřƹƹŶƃŚŝ
ŶƃŚŝ
ƶſźƷŻřƱŚƯżưƷŹƺƏƶŝƵŶƃźĩŷƽŚƷƁƹŹŻřƭřŶĪĤǀƷ ƹƾŞƿŹřŢǀƇŚųƹŵPignatielloƁƹŹŢƀǀƳŹřŵŹƺųźŝŢǀƇŚų
ƹƾŞƿŹřƾĭĦƿƹƹŵŻřViningŵźĪƿƹŹŵźǀĭƾƯźƔƳŹŵřŹŢƯƹŚƤƯ ƹ AmesŢǀƠǀĩƱŚƿŻƖŝŚţŢſřŹřŵŹƺųźŝƾƴǀŝƂǀěŢǀƠǀĩ ƹKhuriƹŵŹřŵźƔƳŶƯřŹŚƷŲſŚěƾŞƿŹřƱřżǀƯƎƤƟƱřŹŚĪưƷ ƾưƳźƔƳŹŵřŹƱōŢƯƹŚƤƯƹŭźƏƽŵŚƈŤƣřƎƿřźƃ Conlon
ŹřŶƤƯƶŝřŹnew (x) ƾƟŵŚƈţƽŚƐųƂƳřŹŚĪưƷƹ Koŵźǀĭ
~y (x)ŲſŚěźǀƜŤƯƵŶƃƵŵŻ ƲǀưŴţ ŶƳŵźĩƶƟŚƋř
~y (x)ƹnew (x) ƶĪƿŹƺƏƶŝ(~ynew (x)=~y (x)+new (x))
řŹ (x) ƖƿŻƺţƱŚưƷnew (x) ƹŶƴŤƀƷźĮƿŶĪƿŻřƪƤŤƀƯ ~ynew (x) ƱŚƿŻƖŝŚţƾƋŚƿŹŶǀƯřƶŞſŚŰƯŚŝŚƸƳōŵŹřŵ ƶƐŝřŹƶŝ
ŢǀƠǀĩƹŢƯƹŚƤƯƾŞƿŹřŢǀƇŚųƶſźƷŻřƶĩŶƴŤƟŚƿŢſŵƽř
ŢſřŹřŵŹƺųźŝƾƴǀŝƂǀě ƵŶƃƾƟźƘƯƱŚƿŻƖŝřƺţƹƶƬƇŚƟƖŝŚţħźŤƄƯšLJŚĪƃřƶƬưūŻř ƱŵƺŝżǀĮƳřźŝƩřƺſƹƁźƿŸěƶǀůŚƳƲǀǀƘţƭŶƗƶŝƱřƺţƾƯ ŶƿŚŝƶĩƾƿŚƷŲſŚěƽŻŚſƶƴǀƸŝƽřźŝŚƷŵźĪƿƹŹƲƿřŜſŚƴţ ƲĪưƯƩƹřƪĪƄƯ[çé]ŵźĩƵŹŚƃřŶƳƺƄŝƮưǀƳƾƯŚƿƮưƿżĩŚƯ ƽŚƷźǀƜŤƯŻřƽŵřŶƘţƶĩŵƺƃƾŝřƺūƶŝƾŝŚǀŤſŵƶŝźŬƴƯŢſř ƾƿŚŬƳōŻŚƯƹŵƪĪƄƯƹŶƳźǀĮŝŹřźƣƱŚƄŝƺƬƐƯƶƴƯřŵŻřũŹŚųŲſŚě
ŹřŶƤƯĨƿŶƿŚŝŚƷŵźĪƿƹŹƲƿřŻřƵŵŚƠŤſřƽřźŝƶĩŵźǀĭƾƯšŚƄƳ
ŶƃŚŝŢſŵŹŵŲſŚěźƷƽřźŝƝŶƷ ƭƺſƶŤſŵƭƺſƭŚĭƭŚŬƳřƽřźŝƵŵŚƠŤſřŵŹƺƯƽŻŚſƶƴǀƸŝƩŶƯ
ƶŤƀŝřƹŚƷŲſŚěƖǀưŬţƖŝŚţƹŶƴƿōźƟƾĭŶǀĤǀěƱřżǀƯƶŝLJƺưƘƯ ƾƬĩƶŤſŵƹŵƶŝƝŶƷƖŝŚţƕƺƳƽŚƴŞƯźŝŚƷƩŶƯƲƿřŢſř
ƝŶƷƖŝřƺţƹźƿŸěƢŤƄƯƝŶƷƖŝřƺţƽŻŚſƶƴǀƸŝƽŚƷĨǀƴĪţ

1268732040128Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017

Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017

5 Robustness
ơƺƟŹŵƵŶƃźĩŷƽŻŚſƶƴǀƸŝƽŚƷŵźĪƿƹŹƭƺſƶŤſŵƭƹŵƭŚĭ ÐƱŚƿŻ Ɩŝřƺţ [æë]ÏƶƬƇŚƟ Ɩŝřƺţ [æé,æê]ÎŢǀŝƺƬƐƯ Ɩŝřƺţ ƭƺƸƠƯ ŶƴŤƀƷ [çæ] ÑơŚŞƐƳř ŢŞƀƳ ƹ [æì ,æí,æî,çå] ƹŶƃƾƟźƘƯæîëêŹŵ HarringtonƎſƺţŹŚŝƲǀƫƹřŢǀŝƺƬƐƯ ŻřŶƃƵŵřŵƎƀŝæîíåŹŵSuichƹDerringer ƎſƺţžĜſ ƱřƺţƾƯŚƸƳōƎſƺţƵŶƃƾƟźƘƯŢǀŝƺƬƐƯƖŝřƺţƽŚƷƾĭĦƿƹƶƬưū ƽŚƷƾĭŶǀĤǀěŻřƽŹřŵŹƺųźŝƭŶƗƹƁƹŹħŹŵŢƫƺƸſƶŝ ŻřƞƬŤŴƯƽŚƷŶůřƹŚŝƾƠǀĩƽŚƷŹŚǀƘƯƶƀƿŚƤƯƱŚĪƯřƾƋŚƿŹ
śƺƬƐƯƶƴƯřŵƲǀǀƘţƱŚĪƯřƹ[0,1]ƵŻŚŝŹŵŚƸƳōŢƃŚĮƳƢƿźƏ ŲſŚěƽŚƷźǀƜŤƯƭŚưţƲŤƟźĭŹřźƣƶŝƁƹŹŶǀĩŚţƹŲſŚěźƷƽřźŝ źŧřŻřŢƬƠƛƁƹŹƲƿřƾƬƇřƪĪƄƯŵźĩƵŹŚƃřśƺƬƐƯƶǀůŚƳŹŵ
ŹŵƱŵƺŞƳźƿŸěƢŤƄƯƱōźĮƿŵƩŚĪƃřƹŢſřŚƷŲſŚěƾĭŶƴĩřźě
ŢſřŢƀĪƃƍŚƤƳŢǀŝƺƬƐƯƶƴǀƄǀŝŚŝźƓŚƴŤƯƍŚƤƳ ƾƟŶƷƖŝŚţƶŝƱŚƿŵřźĭźŝƾƴŤŞƯƽŻŚſƶƴǀƸŝƽŚƷƁƹŹƶĪǀƿŚŬƳōŻř
iƶĪƳōƶŝƶūƺţŚŝƹŶƃŚŝƶŤſƺǀěƱōƩƹřƢŤƄƯƶĩŶƳŹřŵŻŚǀƳ Śŝ ƪƿŚƀƯ Źŵ ƾŞſŚƴƯ ŵźĪƬưƗ ƱŚƿŵřźĭźŝ ƾƴŤŞƯ ƽŚƷ ƁƹŹ ƽŚƷŹřżƟřƭźƳƵŵźŤƀĭŵƺūƹiiŶƳŹřŵƾƐųźǀƛƽŚƷŢƿŵƹŶŰƯ
ƽŻŚſƶƴǀƸŝƽŚƷƁƹŹšźƸƃiiiƱŚƿŵřźĭźŝƾƴŤŞƯƽŻŚſƶƴǀƸŝ ƽŵřźƠƳř ŢǀŝƺƬƐƯ ƖŝŚţ ƪƿŶŞţ ŢƘƴƇ Źŵ ƱŚƿŵřźĭźŝ ƾƴŤŞƯ
ŶƃŚŝƶŤſƺǀěƱōƩƹřƢŤƄƯƶĩƾƘŝŚţƶŝSuichƹDerringer
ƹDel Castillo ƪĪƄƯƲƿřƖƟŹƽřźŝŶſŹƾƯźƔƳƶŝśƺƬƐƯ ƖŝŚţŚƸƳōŶƳŵřŵƶŗřŹřřŹƵŶƃŭLjƇřŢǀŝƺƬƐƯƖŝŚţ[çç]ƂƳřŹŚĪưƷ ƹƶŤſƺǀěƖŝŚţĨƿŚŝźƿŸěŚƳƢŤƄƯƍŚƤƳƾĮƿŚƀưƷŹŵřŹŹƺĩŸƯ
ƽŚƷƁƹŹŻřƵŵŚƠŤſřƱŚĪƯřŜǀţźţƲƿŶŝƹŶƳŵŻŜƿźƤţźƿŸěƢŤƄƯ ƹ Khuri.ŶƴŤųŚſźƿŸěƱŚĪƯřřŹƱŚƿŵřźĭźŝƾƴŤŞƯƽŻŚſƶƴǀƸŝ ƶŗřŹřƾƯƺưƗƶƬƇŚƟƭƺƸƠƯŽŚſřźŝƮŤƿŹƺĮƫřĨƿ[æë]Conlon ŻřŢſřšŹŚŞƗŹŚĩƲƿřŹŵƵŶƃƶŗřŹřƶƬƇŚƟƖŝŚţƵŵŚſƭźƟŶƳŵźĩ
distance[y(x),T]=[y (x)-T]T y (x) 1[y (x)-T]
žƿźţŚƯ y (x) ƹƶƴǀƸŝƝŶƷźƿŵŚƤƯŹřŵźŝ TƶĪƿŹƺƏƶŝ
PignatielloŢſřƵŶƃƾƴǀŝƂǀěƽŚƷŲſŚěžƳŚƿŹřƹƺĩžƳŚƿŹřƹ ĨǀƴĪţĨƿ[çè]TaguchiƶŴſŚěĨţƱŚƿŻƖŝŚţƎƀŝŚŝ[æî] źǀƜŤƯƝřźŰƳřƽŻŚſƮưǀƳƾƯƽŚƷƆųŚƃŽŚſřźŝƶŴſŚěŶƴģ źǀƛƽŚƷŹƺŤĩŚƟƶŝŲſŚěźǀƜŤƯŢǀſŚƀůƹƝŶƷŹřŶƤƯŻřŲſŚě
ƾƋŚƿŹŶǀƯřƽŻŚſƮưǀƴǀƯŚŝƽƹŵźĩŵŚƸƴƄǀěƩLjŤųřƾƫźŤƴĩ ŵźĩřŶǀěŢſŵŹƺĩŸƯƝřŶƷřƶŝźƿŻƱƹŻƺƯŚƐųƖŝźƯ
E[loss(y(x),T) ]=[y(x)-T]TC[y(x)-T]+trace(Cy(x) ) ]
ŢſřŚƷƱŻƹŚƿŚƷƶƴƿżƷP PŢŞŨƯƲǀƘƯžƿźţŚƯCƶĪƿŹƺƏƶŝ
ƪŝŚƣŢſřŚƷŲſŚěžƳŚƿŹřƹƺĩžƳŚƿŹřƹžƿźţŚƯ y(x) ƹ

Desirability Functions
-Distance Functions
-Loss Functions
-Proportion of Conformance
çæîƾŰƫŚƇƾŞŤŬƯƹŚǀƳŽŚưƬſƾƬƗƵŵřŻƮƓŚƧƱřŹŵřźŝŚƋŹƽźƇŚƳƲǀƯřŚƋŹŶưŰƯƶĪŞƃŻřƵŵŚƠŤſřŚŝƶŴſŚěŶƴģŶƴƿōźƟƽŻŚſƶƴǀƸŝ
ŹřźƣƵŵŚƠŤſřŵŹƺƯƾƫźŤƴĩƽŚƷŹƺŤĩŚƟƹŲſŚěźǀƜŤƯƲǀŝƍŚŞţŹř
ŢſřƶŤƟźĭ ƽŚƴŞƯźŝƾūƹźųƹƽŵƹŹƹƽŚƷƶƿLJƽŚƷƱƹźƳŵřŶƘţƶĪƿŹƺƏƶŝ ŜſŚƴƯŵřŶƘţƹŶƳƺƃƾƯśŚŴŤƳřƾūƹźųƹƽŵƹŹƹƽŚƷŹřŵźŝŵŚƘŝř źŝƹŚƐųƹƱƺƯŻōŻřƵŵŚƠŤſřŚŝľLJƺưƘƯƱŚƸƴěƶƿLJƽŚƷƱƹźƳ ŹƹŸŬƯŚƿ(MSE)ŚƐųƖŝźƯƲǀĮƳŚǀƯźǀƔƳƾƿŚƷƆųŚƃŽŚſř ƪƈƠƯŭźƃŵƺƃƾƯƮǀƔƴţ (RMSE)ŚƐųƖŝźƯƲǀĮƳŚǀƯ
ƾƯřŹŹƺųƂǀěƶƿLJŶƴģƾŞƈƗƶĪŞƃƽřźŝŹŚƄŤƳřžěƮŤƿŹƺĮƫř [èç]ŵźĩƺŬŤƀūƞƬŤŴƯƖŝŚƴƯŹŵƱřƺţ
ƽŵŚƸƴƄǀěŵźĪƿƹŹé
ƽŻŚſƩŚƯźƳƂƿŚƯŻōƾůřźƏƾƬƇřŻŚƟŹŚƸģŻřƽŵŚƸƴƄǀěŵźĪƿƹŹ ƮŤƿŹƺĮƫřƹŜſŚƴƯƾŞƈƗƶĪŞƃƾůźƏƩLjŤųřƶŝƩŚƴĮǀſŢŞƀƳ ĨƿƶƫŚƀƯƕƺƳŚŝŜſŚƴŤƯƩƹřŻŚƟŹŵŵƺƃƾƯƪǀĪƄţĨǀŤƳĥ
ƩŚŞƣŹŵŶƴƿřźƟŹŚŤƟŹƕƺƳƾƿŚſŚƴƃŹƺƔƴƯƶŝŜſŚƴƯƂƿŚƯŻōŭźƏ ƲƿřŹŵƶĪǀŗŚŬƳōŻřŵƺƃƾƯŵŚŬƿřƾƫźŤƴĩƽŚƷŹƺŤĩŚƟšřźǀǀƜţ
żǀƳŚƷŲſŚěƾĭŶƴĩřźěźŧřƾƳŚĪƯźŧřźŝƵƹLjƗƵŶƃƾƘſŵźĪƿƹŹ ŻřŲſŚěƽŚƷźǀƜŤƯźƿŵŚƤƯŻřƵŵŚƠŤſřƽŚūƶŝŵƺƃƶŤƟźĭźƔƳŹŵ ƶƤŝŚſƶŝƶūƺţŚŝŵƺƃƾƯƵŵŚƠŤſřŚƸƳōƩLjŤųřƶŝƩŚƴĮǀſŢŞƀƳ ƵŶǀĤǀěƹƾƐųźǀƛƎŝřƹŹŜſŚƴƯƲǀưŴţŹŵƾŞƈƗƽŚƷƶĪŞƃ ƶŝƩŚƴĮǀſƵŶƃƩŚƯźƳŢŞƀƳƲǀưŴţƽřźŝŹřżŝřƲƿřŻřƶſŻŚƟŹŵ ƶŝĨǀŤƳĥƮŤƿŹƺĮƫřŻřľŚŤƿŚƸƳŵƺƃƾƯƾſŹźŝŚƷŲſŚěƩLjŤųř
ƽŚƷŹƺŤĩŚƟƶŝƾŝŚǀŤſŵƽřźŝƢǀƣŵƽŻŚſƶƴǀƸŝŹřżŝřĨƿƱřƺƴƗ ŵƺƃƾƯƵŵŚƠŤſřƶƴǀƸŝƾƫźŤƴĩ
ÕƂƿŚƯŻōƾůřźƏéæ
ŜƀĩƝŶƷŚŝŚƷƂƿŚƯŻōŻřƲǀƤƤŰƯƢǀƤŰţƽŚƷƶƴǀƯŻƶǀƬĩŹŵ ƾƯƵŵŚƠŤſřƅŚųƮŤƀǀſĨƿŚƿŶƴƿōźƟĨƿŵŹƺƯŹŵƾţŚƗLjƏř ŚƷƱƺƯŻōŻřƽřƶƗƺưŬƯŚƿƱƺƯŻōĨƿƂƿŚƯŻōƾůřźƏŶƴƴĩ ĨƿƽŵƹŹƹƽŚƷźǀƜŤƯŹŵƾţřźǀǀƜţŶƴưƟŶƷŹƺƏƶŝƶĩŢſř ƱŚĪƯřƢƿźƏƲƿřŻřŚţŶƴĩƾƯŵŚŬƿřƮŤƀǀſĨƿŚƿŶƴƿōźƟ
ƪƯřƺƗƹƾūƹźųŲſŚěŹŵƲĪưƯšřźǀǀƜţƾƿŚſŚƴƃƹƵŶƷŚƄƯ
[æè]ŵƺƃƮƷřźƟƱōźŝźŧƺƯ ƾůřźƏŵƺƃƾƯŻŚƛōƂƿŚƯŻōĨƿƾůřźƏŚŝƵŶƃƶŗřŹřŵźĪƿƹŹ ƹƁŻƺƯōƽřźŝŻŚǀƳŵŹƺƯƽŚƷƵŵřŵŶƴĩƾƯĨưĩŚƯƶŝƂƿŚƯŻō ŻřRSMƽŚƷŭźƏƮǀƴĩƽŹƹōƖưūřŹƾŞƈƗƽŚƷƶĪŞƃŢƀţ ŢƬƗ ƶŝÎÍƲĪƴƸŝžĩŚŝ Śƿ CCD ÖƽżĩźƯ ŜĩźƯ ƪǀŞƣ ƱřƺƴƗƶŝLJƺưƘƯƾƄƿŚƯŻōƽŚƌƟŜſŚƴƯƂƃƺěŹŵƱŚƄǀƿŚƳřƺţ
źƔƳŹŵŻŚǀƳŵŹƺƯƽŚƷƵŵřŵƽŹƹōƖưūƽřźŝŜſŚƴƯƾƿŚƷŭźƏ
ŶƳƺƃƾƯƶŤƟźĭ

Design of Experiment
-Central Composite
-Box-Behncken
1268732040128Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017

Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017

ĨǀƴĪţƲƿźŤƟƹźƘƯƶƬưūŻřŶƴŤƀƷƮǀƀƤţƪŝŚƣźƿŸěŚƳƢŤƄƯ žĪƬĜưǀſƶŝƱřƺţƾƯźƿŸěŚƳƢŤƄƯƝŶƷƖŝřƺţƽŻŚſƶƴǀƸŝƽŚƷ
ƽŚƷĨǀƴĪţƹ [æé] Hooke-Jeevesƹ[çê] Nelder-Mead ƽŚƴŞƯźŝƽŚƷƁƹŹƶŝźƿŸěƢŤƄƯƝŶƷƖŝřƺţƽŻŚſƶƴǀƸŝ
ƵŹŚƃř[çç](GRG)ÎƶŤƟŚƿƮǀưƘţƾƄƷŚĩƱŚƿŵřźĭŶƴƳŚƯƱŚƿŵřźĭ
ŵźĩ ƵŶǀĤǀěƖŝřƺţŚŝƶūřƺƯŹŵƵŶƃźĩŷƢǀƣŵƽŚƷƁƹŹƶĪǀƿŚŬƳōŻř ƾƏŹŵŶƳƺƃƾƯƹŹƶŝƹŹƪĪƄƯŚŝLJŚŝƶūŹŵƹƽřƶƬưūŶƴģźǀƛ ŶƴƳŚƯ ĨǀŤƀƿŹƺǀƷ ƽƺŬŤƀū ƽŚƷ ĨǀƴĪţ źǀųř ƽŚƷ ƩŚſ
ƹ [çî,çí]ƵŶƃƽŻŚſƶǀŞƃƪǀƳō,[çë,çì]ĨǀŤƳĥƮŤƿŹƺĮƫř
ŶƳřƶŤƟźĭŹřźƣŹŚǀƀŝƶūƺţŵŹƺƯ [èå]ƶƗƺƴưƯƽƺŬŤƀū
ƾƗƺƴƈƯƾŞƈƗƽŚƷƶĪŞƃè
ƽŵřŶƘţŻřƶĩŢſřƾƗƺƴƈƯŶƴưƃƺƷƮŤƀǀſĨƿƾŞƈƗƶĪŞƃ ƩŚƴĮǀſƽŵřŶƘţƱƹźƳźƷŢſřƵŶƃƪǀĪƄţƩŚƈţřƹƱƹźƳƵźĭ ƲǀŝƩŚƈţřšŹŶƣƾƴƘƿŚƸƳōŚŝźƓŚƴŤƯƽŚƷƱŻƹƵřźưƷƶŝƽŵƹŹƹ ŚŝƽŵƹŹƹƽŚƷƩŚƴĮǀſƖǀưŬţŻřŶƘŝŶƴĩƾƯŢƟŚƿŹŵřŹŚƷƱƹźƳ ŢſŵƶŝƱƹźƳƾūƹźųƩŚƴĮǀſÏƽŻŚſƩŚƘƟƖŝŚţĨƿŻřƵŵŚƠŤſř
ƶŝŚƷƱƹźƳƲǀŝšLJŚƈţřƕƺƳƽŚƴŞƯźŝƾŞƈƗƽŚƷƶĪŞƃŶƿōƾƯ ƽŚƷƶĪŞƃŶƴŤƀƷƮǀƀƤţƪŝŚƣÑŹƺųŻŚŝƹ ÐŹƺųƂǀěƶŤſŵƹŵ ƾƤƟřƩŚƈţřƶƳƺĮĤǀƷŚƸƳōŹŵƶĩŶƴŤƀƷƾƿŚƷƶĪŞƃŹƺųƂǀě
ŹŵŵŹřŶƳŵƺūƹƾƬŞƣƽŚƷƶƿLJŚŝƩŚƈţřŚƿƶƿLJĨƿƽŚƷƱƹźƳƲǀŝ ŚƿƾƬŞƣƶƿLJƶŝƶƿLJĨƿŻřƩŚƈţřŹƺųŻŚŝƽŚƷƶĪŞƃŹŵƶĪǀƫŚů šŹŚŞƗƽźǀĭŵŚƿŵŹřŵŵƺūƹƶƿLJĨƿƽŚƷƱƹźƳƲǀŝƾƤƟřŚƈţř
ƶƳƺĭ ƶŝƾŞƈƗƶĪŞƃĨƿŹŵƾƏŚŞţŹřƱřŻƹřƪƿŶƘţŶƴƿřźƟŻřŢſř
ƶŝřŹŜſŚƴƯƾūƹźųŹřŵźŝƽŵƹŹƹŹřŵźŝŢƟŚƿŹŵƭŚĮƴƷŹŵƶĩƽř
ŶƴĩŶǀƫƺţŲſŚěƱřƺƴƗ ŵŹřŵŵƺūƹƾţŹŚƔƳźǀƛƹƾţŹŚƔƳƽźǀĭŵŚƿƕƺƳƹŵƾƬĩŢƫŚůŹŵ
ƽŚƷŹřŵźŝƹƽŵƹŹƹƽŚƷŹřŵźŝŻřƽřƶƗƺưŬƯƾţŹŚƔƳƽźǀĭŵŚƿŹŵ ƵŵŚƠŤſřŵŹƺƯƶĪŞƃƽŚƷƱŻƹƮǀƔƴţƽřźŝŚƸƳōŚŝźƓŚƴŤƯƝŶƷ ƽřƶƗƺưŬƯƎƤƟƾţŹŚƔƳźǀƛƽźǀĭŵŚƿŹŵƶĪƳōƩŚůŵźǀĭƾƯŹřźƣ ƾţŹŚƔƳƽŚƷƶĪŞƃƲƿźţŹƺƸƄƯŻřŢſřŻŚǀƳƽŵƹŹƹƽŚƷŹřŵźŝŻř
ƵżǀŤƳřƺĩBPNNÓŹŚƄŤƳřžěƾŞƈƗƶĪŞƃÒƱƹźŤĜſźěƱřƺţƾƯ
ŵźŝƭŚƳřŹLVQÔƽźǀĭŵŚƿŹřŵźŝ ƁřƾƿŚƳřƺţŢƬƗƶŝŹŚƄŤƳřžěƾŞƈƗƶĪŞƃƱŚǀƯƲƿřŹŵ
[èæ]ƾŤƘƴƇƽŚƷŵźŝŹŚĩƕřƺƳřƽřźŝźŧƺƯƽŚƷƪůƵřŹƶŝƾŝŚǀŤſŵŹŵ ƲǀŝƾƐųźǀƛƍŚŞţŹřĨƿƽŻŚſƩŶƯŹŵƾŞƈƗƽŚƷƶĪŞƃƱřƺţƹ
ƽŻŚſƩŶƯƽřźŝƶƘƫŚƐƯƲƿřŹŵŚƷƮŤƀǀſƾūƹźųƹƽŵƹŹƹ

-Generalized Reduced Gradient
Activation Function
– Feed Forward
-Feed Back
-Perceptron
Back Propagation Neural Network
-Learning Vector Quantization
ƾŰƫŚƇƾŞŤŬƯƹŚǀƳŽŚưƬſƾƬƗƵŵřŻƮƓŚƧƱřŹŵřźŝŚƋŹƽźƇŚƳƲǀƯřŚƋŹŶưŰƯƶĪŞƃŻřƵŵŚƠŤſřŚŝƶŴſŚěŶƴģŶƴƿōźƟƽŻŚſƶƴǀƸŝççå
ƹƾƄƿŚƯŻōšřŶƷŚƄƯŹŵƭ jŲſŚěźǀƜŤƯƩLjŤųřƶŝƩŚƴĮǀſ
jŲſŚěźǀƜŤƯƩLjŤųřƶŝƩŚƴĮǀſƽŚƷŢŞƀƳƮưƿżĩŚƯSNmax, j ŶƴŤƀƷƾƄƿŚƯŻōšřŶƷŚƄƯŹŵƭ
Żř ƵŵŚƠŤſř Śŝ ƵŶƃ ƩŚƯźƳ SN ƽŚƷŢŞƀƳ ƲǀưŴţ éè ƾƗƺƴƈƯƾŞƈƗƽŚƷƶĪŞƃ
ƽŚƷźǀƜŤƯƲǀŝƶƐŝřŹƲǀưŴţƽřźŝƾŞƈƗƶĪŞƃĨƿƭŚĭƲƿřŹŵ
ƾůřźƏŲſŚěźǀƜŤƯźƷŚŝźƓŚƴŤƯƵŶƃƩŚƯźƳSNŢŞƀƳƹƾƫźŤƴĩ źƷƾūƹźųƹƾƫźŤƴĩƽŚƷźǀƜŤƯŚƷƶĪŞƃƲƿřƽŵƹŹƹŵƺƃƾƯ ŲſŚěźǀƜŤƯĨƿŚŝźƓŚƴŤƯƵŶƃƩŚƯźƳSNŢŞƀƳŚƷƱōŻřĨƿ
ŢǀƬŝŚƣŵźĪƿƹŹƲƿřŹŵƾŞƈƗƶĪŞƃŻřƵŵŚƠŤſřƾƬƇřŢƬƗŢſř ŢſřŚƷƱōƾƐųźǀƛƹƵŶǀĤǀěƽŚƷŢƃŚĮƳƽźǀĭŵŚƿ
ƶƗƺưŬƯ ƹ Ţƀţ ƽŚƷƵŵřŵ ƶƗƺưŬƯ śŚŴŤƳř éèæ ƁŻƺƯōƽŚƷƵŵřŵ
ŹƺƏƶŝ ÏŢƀţƽŚƷƵŵřŵƱřƺƴƗƶŝŚƷƵŵřŵƪĩŻřŵƹŶů
ƽŚƷƵŵřŵƱřƺƴƗƶŝŚƷƵŵřŵƶǀƤŝƹŶƳƺƃƾƯśŚŴŤƳřƾƟŵŚƈţ [èç]ŶƳƺƃƾƯƶŤƟźĭźƔƳŹŵÐƁŻƺƯō
ƾŞƈƗƶĪŞƃƽĥƺƫƺěƺţƹŹŚŤųŚſƲǀǀƘţéèç
ŹŚƄŤƳřžěƶĪŞƃĨƿŻřƵŶƃƩŚƯźƳSNŢŞƀƳźƷƲǀưŴţƽřźŝ ŵřŶƘţźŝřźŝƱōƩƹřƶƿLJƽŚƷƱƹźƳŵřŶƘţƶĩŵƺƃƾƯƵŵŚƠŤſř ĨƿźŝřźŝƱōƾūƹźųƶƿLJƽŚƷƱƹźƳŵřŶƘţƹƾƫźŤƴĩƽŚƷŹƺŤĩŚƟ ƽřƶƳƺĭƶŝřŹSNƽŚƷŢŞƀƳƪŞƣƶƬůźƯŹŵƶĪǀƿŚŬƳōŻřŢſř ŵźǀĭƾƯŹřźƣ [0,1]ƵŻŚŝŹŵŚƷƱōŢƃŚĮƳƶĩƮƿŵźĩƩŚƯźƳ
ŵźŝƶĩƽŶǀŗƺưĮƿŻƖŝŚţřŹƾūƹźųƶƿLJƽŻŚſƩŚƘƟƖŝŚţƲƿřźŝŚƴŝ ŢſřƵŶƃśŚŴŤƳřŢſř[0,1]ƵŻŚŝżǀƳƱō
ƲǀưŴţ ƽřźŝ ŜſŚƴƯ ƾŞƈƗ ƶĪŞƃ ƾůřźƏ éèè
ƵŶƃƩŚƯźƳSNƽŚƸŤŞƀƳ
ƽřźŝřŹŹŚƄŤƳřžěƞƬŤŴƯƽŚƷƶĪŞƃźĮƄƿŚƯŻōƂŴŝƲƿřŹŵ źƷƽřźŝžĜſŶƷŵƾƯŹřźƣƾſŹźŝŵŹƺƯŜſŚƴƯƶĪŞƃƞƄĩ ŚŝƁŻƺƯřƽŚƷƵŵřŵƹŢƀţƽŚƷƵŵřŵƽřźŝƶĪŞƃƾūƹźųƶĪŞƃ
ŚŝƶĪŞƃŚŤƿŚƸƳŶƳƺƃƾƯƶƀƿŚƤƯŚƷƂƿŚƯŻōŻřƪƇŚůšřŶƷŚƄƯ ŵƺƃƾƯśŚŴŤƳřƶƴǀƸŝƶĪŞƃƱřƺƴƗƶŝMSEƲƿźŤưĩ

ĨǀŤƳĥƮŤƿŹƺĮƫřŻřƵŵŚƠŤſřŚŝƽŻŚſƶƴǀƸŝéé
śřƺūƽƺŬŤƀūŶƴƿōźƟƽřźŝƮƸƯƪǀƫŵƹŵƶŝĨǀŤƳĥƮŤƿŹƺĮƫř
æŢſřƵŶƃśŚŴŤƳřƶƴǀƸŝ ƽřźŝ GRGŶƴƳŚƯƱŚƿŵřźĭƽŚƴŞƯźŝƽŻŚſƶƴǀƸŝƽŚƷƁƹŹ
1268732040128Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017

Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017

ŹŵŶƳŹřŵŲſŚěŭƺƐſƶŝŻŚǀƳŵƺŞƸŝŢƸūƹƱŚƿŵřźĭƶŞſŚŰƯ ÎƩLjŤųřƶŝƩŚƴĮǀſŢŞƀƳéç
ŢǀſŚƀůƲƿźŤưĩƁŵźĪƬưƗƶĩŢſřƽŶƴƿōźƟƭƹŚƤƯŶƴƿōźƟ ƶŝƩŚƴĮǀſŢŞƀƳƾģƺĭŚţŵŹřŵƩLjŤųřƪƯřƺƗƶŝŢŞƀƳřŹƲĪưƯ ƽřźŝ ŜſŚƴƯ ŵźĪƬưƗ ƆųŚƃ Ĩƿ ƱřƺƴƗ ƶŝ řŹSNƩLjŤųř ƶƴǀƄǀŝŚŝƶĪƿŹƺƏƶŝŵźĩƾƟźƘƯƭƹŚƤƯŶƴƿōźƟĨƿƶŝƾŝŚǀŤſŵ ƶĩ ŶƴƿōźƟ ƽŚƷźŤƯřŹŚě Żř ƾƳŶƃ ƾŞǀĩźţ ŢŞƀƳ Ʋƿř ƽŻŚſ
ƶŝřŹŲſŚěźǀƜŤƯŹřŶƤƯƹƶƴǀưĩřŹƾūƹźųźƿŵŚƤƯƽźƿŸěźǀǀƜţ ŶƿōƾƯŢſŵƶŝŶƴĩƾƯźŤĪƿŵżƳźƔƳŵŹƺƯŵŶƗ
ƩLjŤųřƶŝƩŚƴĮǀſŢŞƀƳƶŞſŚŰƯéçæ
ŲſŚěźǀƜŤƯƕƺƳŚŝƢŝŚƐƯSNŢŞƀƳƽřźŝřŹźƿŻƞƿŹŚƘţƾģƺĭŚţ
ŵźĩƶŗřŹř
ƶĩŵŹřŵŵźŝŹŚĩƾƳŚƯŻƞƿźƘţƲƿřLTBźŤƸŝźŤĭŹżŝ i ŶƃŚŝźƔƳŶƯƾƠǀĩƶƈŴƄƯƽŻŚſƶƴǀƄǀŝ

S1n1

= -10 log(

)i1

2
Nny ij
ƵŶƷŚƄƯŲſŚěźǀƜŤƯŹřŶƤƯ yij ƹŹřźĪţŵřŶƘţ nƶĪƿŹƺƏƶŝ
i 1,2,…,n; j 1,2,…,k ƶĪƿŹƺƏƶŝƵŶƃ
ƶĩ ŵŹřŵ ŵźŝŹŚĩ ƾƳŚƯŻ ƞƿźƘţ Ʋƿř STBźŤƸŝźŤĪģƺĩii
ŶƃŚŝźƔƳŶƯƾƠǀĩƶƈŴƄƯƽŻŚſƶƴǀưĩ

S1n1
146243059177

= -10 log(  i12 )
Nny ij

ŵŹřŵŵźŝŹŚĩƾƳŚƯŻƞƿźƘţƲƿř NTBƲƿźŤƸŝƾưſřŹřŶƤƯiii
ŻřƝŶƷŹřŶƤƯĨƿƩƺůŚƐųƖŝźƯƲǀĮƳŚǀƯ ƽŻŚſƶƴǀưĩƶĩ ŶƃŚŝźƔƳŶƯƵŶƃƲǀǀƘţƂǀě

S = -10 log( y 2 )
Ns
1575159-425295

15538372221

y y y2 …yn ϭs2 in1(yi y)2 ƶĪƿŹƺƏƶŝ nn1
ƩLjŤųřƶŝƩŚƴĮǀſŢŞƀƳƽŻŚſƩŚƯźƳéçç
śŚƀůźƿŻƩƺƯźƟƶƬǀſƹƶŝřŹŲſŚěźǀƜŤƯźƷ SNƽŚƷŢŞƀƳ
Ŷǀƴĩ
SNij SN
NSNij 

min, j
SN max, j SNmin, j
źǀƜŤƯƵŶƃƩŚƯźƳƩLjŤųřƶŝƩŚƴĮǀſŢŞƀƳ NSN ij ƶĪƿŹƺƏƶŝ ƩLjŤųřƶŝƩŚƴĮǀſŢŞƀƳ SNij ƭřiƂƿŚƯŻōŹŵƭjŲſŚě
ƽŚƷŢŞƀƳƮưǀƳƾƯSNmin, j ƭřiƂƿŚƯŻōŹŵƭjŲſŚěźǀƜŤƯ

ççæƾŰƫŚƇƾŞŤŬƯƹŚǀƳŽŚưƬſƾƬƗƵŵřŻƮƓŚƧƱřŹŵřźŝŚƋŹƽźƇŚƳƲǀƯřŚƋŹŶưŰƯƶĪŞƃŻřƵŵŚƠŤſřŚŝƶŴſŚěŶƴģŶƴƿōźƟƽŻŚſƶƴǀƸŝ
ƾƯƶŤƟźĭƩƹřŶƫřƹŻřƱĥŹřŶƤƯŶƃŚŝåêŻřźŤưĩƩŚưŤůřŹřŶƤƯ
ŵƺƃƾƯƶŤƟźĭƭƹŵŶƫřƹźƓŚƴŤƯƱĥŻřšŹƺƈƴƿřźǀƛŹŵŵƺƃ ŵŹƺƯƂƸūźĮƬưƗŢǀƘưūŹŵƾĭŶƴĩřźěƂƿřżƟřŹƺƔƴƯƶŝ ÕƾƟŵŚƈţƂƸūźĮƬưƗŻřƶƘƫŚƐƯƲƿřŹŵŵźǀĭƾƯŹřźƣƵŵŚƠŤſř
ŶƳŻźƟƽŚƷƭƹŻƺƯźĩŻřƾĪƿƶĩŜǀţźţƲƿŶŝŢſřƵŶƃƵŵŚƠŤſř
ŹƺƏƶŝřŹƱōŻřƱĥĨƿžĜſŵƺƃƾƯśŚŴŤƳřƾƟŵŚƈţŹƺƏƶŝ
ŹŵŢųřƺƴĪƿƖƿŻƺţŻřƾƟŵŚƈţŹřŶƤƯĨƿŶƴĩƾƯśŚŴŤƳřƾƣŚƠţř ŵƺƃƾƯƶǀƫƹřƱĥƲƿżĮƿŚūƹŶǀƫƺţæƹæƵŻŚŝ
ƞƣƺţƆųŚƃééë
ƶưţŚųŹřźĪţƵŶƃƲǀǀƘţƂǀěŻřŵřŶƘţĨƿŻřŶƘŝƮŤƿŹƺĮƫř ŶŝŚƿƾƯ
ƽŵŶƗƩŚŨƯê
ƩŚŨƯŻřƵŵŚƠŤſřŚŝƵŶƃƶŗřŹřŵźĪƿƹŹƽźƿŸěźǀŧŚţƂŴŝƲƿřŹŵ ƩŚŨƯƲƿřŢſřƵŶƃƵŵřŵƂƿŚưƳ [èè]Tong et al ., 2005źǀƜŤƯƹŵƹ (x1,x2,x3,x4 ,x5 ) ƾƫźŤƴĩźǀƜŤƯŪƴěƪƯŚƃ STBƕƺƳŻřŲſŚěźǀƜŤƯ y1 ƶĪƿŹƺƏƶŝŢſř (y1,y2 )ŲſŚě
ƹŵƶĩŢſřƵŶƃƉźƟƩŚŨƯƪůŹŵŢſřLTBƕƺƳŻř y2 ƹ ƲƿřźŝŚƴŝŶƴŤƀƷŹřŵŹƺųźŝƾƳŚƀĪƿƾŞƀƳŢǀưƷřŻřŲſŚěźǀƜŤƯ
ŹŵƾƄƿŚƯŻōšřŶƷŚƄƯŶƳřƵŶƃƶŤƟźĭźƔƳŹŵ w1  w 2 

1 2
ƩLjŤųřƶŝƩŚƴĮǀſƹƩLjŤųřƶŝƩŚƴĮǀſƽŚƷŢŞƀƳƹæƩƹŶū ŵźĪƿƹŹŚŝƢŝŚƐƯŶƳřƵŶƃƵŵřŵƂƿŚưƳçƩƹŶūŹŵƵŶƃƩŚƯźƳ ƩŚƯźƳƩLjŤųřƶŝƩŚƴĮǀſƽŚƷŢŞƀƳƶŞſŚŰƯŻřŶƘŝƵŶƃƶŗřŹř ŻřŵƺƃƾůřźƏŚƷƱōƲǀưŴţƽřźŝƶƴǀƸŝƾŞƈƗƶĪŞƃŶƿŚŝƵŶƃ
ƾƿŚƳřƺţƱŚƸƴěƶƿLJƹŵŚƿĨƿŚŝƾŞƈƗƽŚƷƶĪŞƃƶĪǀƿŚŬƳō řŹŚƷƾūƹźųƹŚƷƽŵƹŹƹƲǀŝƾƐųźǀƛƶƐŝřŹƶƳƺĭźƷƞǀƇƺţ ŶƃŹƶŝźŬƴƯŚƷƶƿLJŵřŶƘţƂƿřżƟřźĮƿŵƝźƏŻřƹ[èé]ŶƳŹřŵ ŶƴƿřźƟŹŵƶŬǀŤƳŹŵŵƺƃƾƯƶĪŞƃƽŚƷźŤƯřŹŚěŵřŶƘţƖƿźſ
ŚŝƽŚƷƶĪŞƃƶŝřŹŵƺųšŚƘƫŚƐƯŜſŚƴƯƾŞƈƗƶĪŞƃƾƿŚſŚƴƃ
ƮǀƴĩƾƯŵƹŶŰƯƶƿLJƹŵ
ŢŞƀƳƲǀưŴţƽřźŝŜſŚƴƯƾŞƈƗƽŚƷƶĪŞƃƞƄĩŢƸūŹŵ žěƽŚƷƶĪŞƃŲſŚěƽŚƷźǀƜŤƯƵŶƃƩŚƯźƳƩLjŤųřƶŝƩŚƴĮǀſ ƽŚƷƶĪŞƃŶƳŶƃƂƿŚƯŻřƞƬŤŴƯƽŚƷźŤƯřŹŚěŚŝŹƺųƂǀ쏌ƄŤƳř źƷŹŵŶƳřƵŶƃƶŗřŹřèƩƹŶūŹŵMSE źƿŵŚƤƯƲƿźŤưĩŚŝŜſŚƴƯ ƹƾĪǀƫƺŝźĜǀƷŢƳřĦƳŚţƽŻŚſƩŚƘƟƖŝŚţŻřƾƳŚǀƯƽŚƷƶƿLJƶĪŞƃƹŵ ƽŻŚſƩŚƘƟƖŝŚţŻřŵƺŝƵŶƃƵŹŚƃřLjŞƣƶĩƱŚƴĤưƷƾūƹźųƶƿLJ ƶĪŞƃƹŵźƷŹŵƁŻƺƯōƮŤƿŹƺĮƫřŶƴƴĩƾƯƵŵŚƠŤſřƽŶǀŗƺưĮƿŻ ŚƷƵŵřŵƪĩƶŝŢƀţƽŚƷƵŵřŵŢŞƀƳƹŢſřÖšŹřƺĩŹŚƯīźŞƳƺǀƫ
ŵźƨƬưƗƶƀƿŚƤƯŹƺƔƴƯƶŝŢſřççççƶĪŞƃƹŵźƷƽřźŝ

Random mutation
Levenberg-Marquardt
1268732040128Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017

Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017

ƾŞƈƗƶĪŞƃŻřŲſŚěŭƺƐſƶŞſŚŰƯƽŚūƶŝƁƹŹƲƿřŹŵƶĪǀƫŚů ƵŶƃƵŵŚƠŤſř SNƽŚƷŢŞƀƳƵŶƃƩŚƯźƳźƿŵŚƤƯƲǀưŴţƽřźŝ ƽƺŬŤƀū ŵźĪƿƹŹ Ĩƿ ƱřƺƴƗ ƶŝ ĨǀŤƳĥ ƮŤƿŹƺĮƫř çŢſř
ƵŶƃƶŤųŚƴƃƵŶǀĤǀěƖŝřƺţƽŻŚſƶƴǀƸŝƽřźŝŶƴưţŹŶƣƾƫŚưŤůř
Ţſř
ÎƪůƵřŹƱŵźĩŶĩééæ
æƹæƵŻŚŝŹŵƾƤǀƤůŵřŶƗřƶŤƃŹĨƿŻřƪůƵřŹźƷƂƿŚưƳƽřźŝ
źƷƶĪƿŹƺƏƶŝŵƺƃƾƯƵŵŚƠŤſřƾƫźŤƴĩƽŚƷźǀƜŤƯŵřŶƘţƩƺƏƶŝ
řŹƱōŚŝźƓŚƴŤƯƾƫźŤƴĩźǀƜŤƯƶŝƵŶƃƵŵřŵƅŚƈŤųřŹřŶƤƯƱĥ ŶƷŵƾƯƂƿŚưƳ
ÏƶǀƫƹřƪůƵřŹééç
ŻŚǀƳƶǀƫƹřŢǀƘưŬĪƿƶŝƺŬŤƀūŶƴƿōźƟŻŚƛřƽřźŝĨǀŤƳĥƮŤƿŹƺĮƫř ŵźĩŶǀƫƺţĨǀŤƀƿŹƺǀƷƽŚƷƁƹŹƕřƺƳřŚŝřŹƱōƱřƺţƾƯƶĩŵŹřŵ
ƖƿŻƺţŻřƾƟŵŚƈţŹřŶƤƯŶǀƫƺţŚŝƶǀƫƹřƪůƵřŹƶƫŚƤƯƲƿřŹŵ ŵƺƃƾƯƪƇŚůƱĥźƷƽřźŝæƹæƵŻŚŝŹŵŢųřƺƴĪƿ

ÐƾŝŚƿŻŹřééè
ƪůƵřŹźƷŵźĪƬưƗŮƐſƲǀǀǀƘţŹƺƔƴƯƶŝƂŴŝƲƿřŹŵ ŵƺƃƾƯƶŞſŚŰƯźƿŻƖŝŚţŻřƵŵŚƠŤſřŚŝƱōŚŝźƓŚƴŤƯƁŻřźŝŹřŶƤƯ
f(x) = nj1 w j NSN j
ƱƹŻƺƯƵŶƃƩŚƯźƳƩLjŤųřƶŝƩŚƴĮǀſŢŞƀƳf(x)ƶĪƿŹƺƏƶŝ
ƶŝƩŚƴĮǀſŢŞƀƳ NSN j ƭřjŲſŚěźǀƜŤƯƾŞƀƳŢǀưƷř w j
ƽŚƷźǀƜŤƯŵřŶƘţnƹƭřjŲſŚěźǀƜŤƯŚŝźƓŚƴŤƯƵŶƃƩŚƯźƳƩLjŤųř ŢſřŲſŚě

ÑśŚŴŤƳřééé
ŶǀƫƺţƽřźŝŶƫřƹƱřƺƴƗƶŝřŹŢǀƘưūŻřƪůƵřŹƹŵśŚŴŤƳřźĮƬưƗ ŶƴĩƾƯśŚŴŤƳřÓƂƸūƹ ÒƭŚƛŵřƽŚƷźĮƬưƗƶƬǀſƹƶŝŵLJƹř ƁŻřźŝ ŹřŶƤƯ ŽŚſř źŝ ƂŴŝ Ʋƿř Źŵ ƵŶƃ ƵŵŚƠŤſř ƭżǀƳŚĪƯ
ƩŚưŤůřŚŝźŤƸŝƁŻřźŝŹřŶƤƯŚŝƭƹŻƺƯźĩƾƴƘƿŢſřŚƷƭƹŻƺƯźĩ ŵƺƃƾƯśŚŴŤƳřŶƫřƹƱřƺƴƗƶŝƽźŤƄǀŝ
ƂƸūƹƭŚƛŵřƽŚƷźĮƬưƗééê
ŹŵƪŨƯŶǀƫƺţƩƺƏŹŵŚƷƭƹŻƺƯźĩŜǀĩźţŶƴƿōźƟŻřƭŚƛŵřŶƴƿōźƟ źĮƬưƗŻřƶƘƫŚƐƯƲƿřŹŵŢſřƵŶƃƽŻŚſƶǀŞƃƵŶƳŻšřŵƺūƺƯ ŹřŵźŝĨƿřŶŤŝřƶĩƾƴƘƯƲƿŶŝŢſřƵŶƃƵŵŚƠŤſřÔŢųřƺƴĪƿƭŚƛŵř
źĭřŵƺƃƾƯŶǀƫƺţƾƫźŤƴĩƽŚƷźǀƜŤƯŵřŶƘţƵŻřŶƳřƶŝƩŚưŤůř

solution encoding
– initial solution
-Evaluation
-Selection
crossover
-mutation
Uniform crossover
ƾŰƫŚƇƾŞŤŬƯƹŚǀƳŽŚưƬſƾƬƗƵŵřŻƮƓŚƧƱřŹŵřźŝŚƋŹƽźƇŚƳƲǀƯřŚƋŹŶưŰƯƶĪŞƃŻřƵŵŚƠŤſřŚŝƶŴſŚěŶƴģŶƴƿōźƟƽŻŚſƶƴǀƸŝççç
ƶƧŢſřƵŶƃƵŵŚƠŤſřŲſŚěźǀƜŤƯźƷ NSNŢŞƀƳƾƳƺǀſźĭŹ ŢſřźƿŻŭźƃƶŝƱōŪƿŚŤƳ NSNŢŞƀƳƲǀưŴţŹŵŲſŚěŮƐſƁƹŹƹƾŞƈƗƽŚƷƶƨŞƃ
ƩŶƯ ƲǀưŴţ ƽřźŝ ƁŻƺƯō ƽŚƷ Ƶŵřŵ Żř ŲſŚě ƽŚƷźǀƜŤƯ
1268732040128Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017

Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017

ƾƄƿŚƯŻōšřŶƷŚƄƯ .æƩƹŶū
ƵŹŚưƃ ƂƿŚƯŻō ƾƫźŤƴĩƽŚƷŹƺŤĩŚƟ ŲſŚěƽŚƷźǀƜŤƯ
X1 X2 X3 X4 X5 Y1 Y2
æ æ æ æ æ æ æéè éå
ç æ å å å å æêì éè
è æ æ æ æ æ çèç êë
é å æ æ å å æçæ èì
ê å å å æ æ íì éî
ë å æ æ æ æ ëê ëæ
ì æ æ å æ æ íîî éç
í æ å æ å æ ææí éè
î æ æ æ æ å æçé êè
æå æ æ æ æ å æëç éë
ææ æ å æ æ æ çëî éæ
æç æ æ å å æ æåê êè
æè å æ å æ æ æëî èî
æé å å æ æ å êåë éì æê å æ æ å æ ìåí êé æë æ æ æ å æ íìë êç æì æ å æ æ æ æêæ éë æí æ æ å æ å êå êí ƵŶƃƩŚƯźƳƩLjŤųřƶŝƩŚƴĮ ǀſŢŞƀƳƹƩLjŤųřƶŝƩŚƴĮǀſŢŞƀƳ çƩƹŶū ƵŹŚưƃ
ƂƿŚƯŻō
ƾƫźŤƴĩƽŚƷŹƺŤĩŚƟ SNŢŞƀƳ NSNŢŞƀƳ
X1 X2 X3 X4 X5 Y1 Y2 Y1 Y2
æ æ æ æ æ æ çèææ æçåé åèìêêæè åæêëèçç
ç æ å å å å çèîç æçëì åèçåæåî åèåææéî
è æ æ æ æ æ çìèæ æéîë ååííçèê åíçìêíë
é å æ æ å å çæëë ææèë åéìéëîç å
ê å å å æ æ æíìî æèíå åëìåîîî åêëåîç
ë å æ æ æ æ æëçë æêìæ åíééåéî æ
ì æ æ å æ æ æîåí æçéë åëêææëè åçêçíìé
í æ å æ å æ çæéé æçëì åéíîìé åèåææéî
î æ æ æ æ å çæíì æééî åéëåèçí åìæîêé
æå æ æ æ æ å çéæî æèçë åèåæëéç åéèëìíç
ææ æ å æ æ æ çíëå æççë å åçåëíîì
æç æ æ å å æ çåéç æééî åêêîêåí åìæîêé
æè å æ å æ æ çéêë ææíç åçìëèèé åæåêìéì
æé å å æ æ å æéåí æèéé åîîèæë åéìíæëæ
æê å æ æ å æ æìåå æéëê åìîèéèé åìêëèçç
æë æ æ æ å æ æííê æéèç åëëëíîê åëíåéë
æì æ å æ æ æ çèêí æèçë åèéèèëê åéèëìíç
æí æ æ å æ å æèîí æêçì æ åíîííêæ
ƾŞƈƗƽŚƷƶĪŞƃšŚǀƇƺƈųèƩƹŶū
Ä°^‹ x‡Za€Ì¤f» MSE
½ZÆÀaÉZÅÄËÓÉZŽÁ€¿{Y| e dˆe ‰Â»M
Y1 ,
Y2 ,

ççèƾŰƫŚƇƾŞŤŬƯƹŚǀƳŽŚưƬſƾƬƗƵŵřŻƮƓŚƧƱřŹŵřźŝŚƋŹƽźƇŚƳƲǀƯřŚƋŹŶưŰƯƶĪŞƃŻřƵŵŚƠŤſřŚŝƶŴſŚěŶƴģŶƴƿōźƟƽŻŚſƶƴǀƸŝ
NSNY = 0.5786- 0.0361* x1 + 0.1488* x2 – 0.0271* x3 + 0.153* x4 + 0.1217* x5 + 0.33* x1 * x2 + 0.2787* x1 * x3 – 0.2514* x1 * x4 1
+ 0.1826* x1 * x5 + 0.0178* x2 * x3 + 0.1197* x2 * x4 – 0.065* x2 * x5 – 0.4553* x3 * x4
(x1, x2, x3,x4, x5)NSNY1 = 0.5505+ 0.1531* x1 + 0.3626* x2 + 0.2666* x3 + 0.0489* x4 + 0.1935* x5 + 0.1323* x1 * x2 – 0.1951* x1 * x3
+ 0.3183* x1 * x4 + 0.2804* x1 * x5 + 0.0787* x2 * x3 – 0.0676* x2 * x4 – 0.0051* x2 * x5 + 0.0885* x3 * x4

ƱƺǀſźĭŹƽŚƷƩŶƯMSEźƿŵŚƤƯéƩƹŶū
ŲſŚě Y1 Y2
Ţƀţ åæíçè ååîíìíë
MSE ƁŻƺƯō ìêë„æåî ææèì„æåí
Hsieh, K.L., Tong, L.I., Optimization of Multiple Quality Responses Involving Qualitative and Quantitative Characteristics in IC Manufacturing using Neural Networks. Computers in Industry 46, 2001, 1-12.

Noorossana, R, Davanloo, Tajbakhsh, S., Saghaei, A.,
An artificial Neural Network Approach to MultipleResponse Optimization. Int Adv Manuf Technol 40, 2009, 1227-1238.

Ortiz, F., Simpson, J.R., Pignatiello, J.J., HerediaLangner, A., A Genetic Algorithm Approach to Multiple-Response Optimization. J Qual Technol 36:
2004, 432 450.

Hsieh, K.L., Parameter Optimization of a MultiResponse Process for Lead Frame Manufacturing by Employing Artificial Neural Networks. Int Adv Manuf Technol 28, 2006, 584-591.

Myers, R.H, Montgomery, D.C., Response Surface Methodology: Process and Product Optimization using Designed Experiments, 2nd edn. Wiley, New York, 2002.

Del Castillo, E., Montgomery, D.C., A Non linear Programming Solution to the Dual Response Problem. Journal of Quality Technology 25., 1993, pp. 199-204.

Kim, K.J., Lin, D.K.J., Optimization of Multiple Responses Considering Both Location and Fispersion Effects. European Journal of Operational Research 169, 2006, 133-145.

Plante, R.D., Multicriteria Models for the Allocation of Design Parameter Targets. European Journal of Operational Research, 115, 1999, 98 112.

Kim, K.J., Byun, J.H., Min, D., Jeong, I.J., Multiresponse Surface Optimization: Concept,
1268732040128Downloaded from ijiepm.iust.ac.ir at 14:27 IRST on Saturday November 4th 2017



قیمت: تومان


دیدگاهتان را بنویسید