KR20120128251A - Fault detection method - Google Patents

Fault detection method Download PDF

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KR20120128251A
KR20120128251A KR1020110046083A KR20110046083A KR20120128251A KR 20120128251 A KR20120128251 A KR 20120128251A KR 1020110046083 A KR1020110046083 A KR 1020110046083A KR 20110046083 A KR20110046083 A KR 20110046083A KR 20120128251 A KR20120128251 A KR 20120128251A
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result
value
estimate
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result estimate
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KR101482758B1 (en
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구흥섭
김현진
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구흥섭
김현진
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B23/00Testing or monitoring of control systems or parts thereof
    • G05B23/02Electric testing or monitoring
    • G05B23/0205Electric testing or monitoring by means of a monitoring system capable of detecting and responding to faults
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02PCLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P90/00Enabling technologies with a potential contribution to greenhouse gas [GHG] emissions mitigation
    • Y02P90/30Computing systems specially adapted for manufacturing

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Abstract

PURPOSE: A problem detection method is provided to statistically detect a process, an apparatus, and a parameter problem in a complex environment by estimating result values two times. CONSTITUTION: The monitoring data of a parameter for samples processed by a plurality of apparatuses and result values for confirming the result of a process are collected(ST10). A first result estimation value for each sample is derived from each apparatus by setting the monitoring data as an independent variable(ST20). A second result estimation value for each sample is derived by setting the result values as a dependent variable and by setting a first result estimation value as the independent variable(ST30). [Reference numerals] (ST10) Step of collecting monitoring data; (ST20) Step of calculating a first result estimation value; (ST30) Step of calculating a second result estimation value; (ST40) Step of detecting a process with problems; (ST50) Step of detecting a device with problems

Description

Problem Detection Method {FAULT DETECTION METHOD}

The present invention relates to a problem detection method, and more particularly to a problem detection method capable of accurate analysis.

Products produced in various industries such as semiconductors, displays, chemicals and steel are manufactured through a number of processes. At this time, it is repeatedly inspected whether the requirements of the product is satisfied in the middle of the process, and finally, after completion of the process, the yield and quality measurement are examined.

In particular, the yield is a very important factor because it indicates whether the process is completed or not and the quality. Therefore, it is very important to maximize the yield and keep the quality in top condition.

Statistical process control (STC) is performed to improve quality and identify defects early, and state-of-the-art precision measuring devices and statistical techniques are applied.

However, it is difficult to determine how all variables associated with an individual process affect yields, which can lead to significant losses if the problem is not detected and properly addressed during the process. Since there are many processes, devices, parameters, etc. in a single production line, the problem must be solved by accurately finding the correct process, device, and parameter.

Data mining and the like have been applied to detect problematic processes, devices and parameters. Data mining is the process of finding useful correlations hidden among many data, extracting actionable information in the future, and using it in decision making. Such data mining includes an analysis of variance (ANOVA) method and a sequential pattern method.

However, according to the variance analysis method and the sequential pattern method, it may be difficult to obtain accurate analysis results in a complicated environment having various processes and devices. This is because the results of the variance analysis method and the sequential pattern method itself are difficult to adequately represent the variation of the results generated by the individual processes and devices. In addition, when the analysis using the result value, the average of the result values for each process of the samples are the same, it is impossible to search for the problem process, and if the number of devices in each process is one problem problem may be all the same.

That is, according to the conventional method, it may be difficult to obtain accurate analysis results.

The present invention seeks to provide a problem detection method that can statistically and accurately detect problematic processes, devices, and parameters.

Problem detection method according to an embodiment of the present invention, the monitoring data of the parameters (or representative value of the monitoring data) for the samples processed by the plurality of devices in a plurality of processes and the results of the process Collecting result values for confirmation; Deriving a first result estimate for each sample from each device using the monitoring data as an independent variable and the result value as a dependent variable; Deriving a second result estimate for each sample using the first result estimate as an independent variable as a representative value of each process and the result value as a dependent variable; And detecting a problem process by calculating a contribution of each process based on the second result estimated value.

The method may further include rearranging the first result estimate value and the result value for each process, based on the samples, between the first result estimate value and the second result estimate value.

In each of deriving the first result estimate and deriving the second result estimate, a relationship between the independent variable and the dependent variable may be derived using regression modeling.

The regression modeling may be at least one of ordinary least square (OLS), principal component regression (PCR), and partial least square (PLS).

In the detecting of the problem process, the samples may be divided into a defective group and a good group based on the second result estimation value, and the contribution of each process may be derived by the following equation.

≪ Equation &

Contribution = {(average of bad group)-(average of good group)} * regression coefficient

(Where, the regression coefficient is a coefficient derived by the regression modeling for deriving the second result estimate.)

When there are a plurality of devices for the problem process, after detecting the problem process, the method may further include calculating a total loss of each device for the problem process to detect the problem device.

In the deriving of the second result estimate, a relationship between the independent variable and the dependent variable may be derived using regression modeling. In the detecting of the problem device, the samples are divided into a bad group and a good group based on the second result estimate value, and the total loss of each device may be derived by the following equation.

≪ Equation &

Total loss = {(average of bad group)-(average of good group)} * number of samples in bad group * regression coefficient

(Where, the regression coefficient is a coefficient derived by the regression modeling for deriving the second result estimate.)

Problem detection method according to an embodiment of the present invention, the monitoring data (or representative value of the monitoring data) of the parameters (parameters) for the samples processed in the plurality of devices for a plurality of processes, and the results of the process Collecting result values for confirmation to derive a first result estimate for each sample at each device; At least one of a problem process, a problem apparatus, and a problem parameter is derived by deriving a second result estimate for each sample using the first result estimate as an independent variable as the representative value of each process and the result value as a dependent variable. To derive.

According to the present embodiment, the result value is estimated two times, so that the problem process, the problem apparatus, and / or the problem parameter can be statistically accurately detected even in a complicated environment having a plurality of processes using a plurality of devices. In addition, it is possible to compensate for the problem that the result value estimation varies according to the number of samples of the device by two result value estimation.

1 is a flowchart of a problem detection method according to an embodiment of the present invention.

Hereinafter, a problem detection method according to an embodiment of the present invention will be described in detail.

The problem detection method according to the present embodiment is a process, apparatus and / or parameter when a problem such as a decrease in yield occurs in a production line that is performed by various processes using various apparatuses according to a work recipe. This is to detect whether the problem is caused by a parameter.

Such a problem detection method may be performed by a problem detection system including a monitoring unit, a data collection unit, an analysis unit through regression modeling, and the like. Various problems can be used as such a problem detection system.

In this embodiment, the monitoring data (or representative values of the monitoring data) of the parameters for the samples processed by the various apparatuses in the various processes, and the result value for confirming the results of each process, are used twice. The resulting value can be estimated over time to accurately detect the problem process and / or problem device. This will be described in more detail with reference to FIG. 1 as follows.

1 is a flowchart of a problem detection method according to an embodiment of the present invention.

Referring to FIG. 1, in the problem detecting method according to the present exemplary embodiment, the method may include collecting monitoring data and result values (ST10), deriving a first result estimate value (ST20), and deriving a second result estimate value ( ST30), detecting the problem process (ST40) and detecting the problem device (ST50). The method may further include rearranging data between the step ST20 of deriving the first result estimate and the step ST30 of deriving the second result estimate. These steps ST10, ST20, ST30, ST40, ST50 will be described with specific reference examples.

First, in the step ST10 of collecting monitoring data and result values, the monitoring data of the parameter (or the representative value of the monitoring data, the same below) in all the devices used in all the processes of one production line, and the process Collect the result (Y) to confirm the result of.

Here, the monitoring data of the parameter may be monitoring data for a fault detection and classification (FDC). The monitoring data may be actual monitoring data or may use a representative value thereof. For example, as the representative value, a mean value, a median value, a mode value, a minimum value min, a maximum value max, a standard deviation, or the like may be used. However, the present invention is not limited thereto, and various types of monitoring data may be used.

In addition, the result value Y for confirming the result of the process may be a value measured to confirm the result in each process or a yield measured after completion of the final process. However, the present invention is not limited thereto, and various types of result values Y may be used.

For a more detailed description, the case where the total number of processes is four and the measurement is made after the processes are completed will be described with reference to the example.

Devices 1, 2 and 3 are used in step 1, devices 4 and 5 are used in step 2, devices 6, 7 and 8 are used in step 3, and devices 9 and 10 are used in step 4. The monitoring data of the parameters and the resultant values Y are collected in the devices 1 to 10. In this example, the number of samples is limited to 30 and it is assumed that the number is statistically sufficient. The results collected in each of Steps 1 to 4 are shown in Tables 1 to 4, respectively.

Device Sample Parameter 1 Parameter 2 Result value (Y) One 3 1.087323979 0.168571736 113.378 One 4 1.439607227 0.299231028 113.716 One 11 0.783178245 0.629731551 117.348 One 15 0.641369697 0.647677098 125.80178 One 20 -0.055424353 0.770480737 115.27904 One 21 -1.251294653 -0.882737098 139.06036 One 24 -1.147614337 -1.223964447 129.83183 One 28 -1.149346478 -0.46292273 134.97439 2 One 0.375337797 -0.003930497 109.826 2 6 1.193295778 -0.006591345 116.054 2 7 1.216271752 0.064334012 114.802 2 14 0.703459071 0.575822276 134.7551 2 16 0.802227046 0.794299645 125.75846 2 17 0.761520132 0.851200281 124.628 2 19 -0.014118469 0.983055664 116.86234 2 25 -1.162179894 -1.062554209 131.62751 2 29 -1.147970358 -0.566555601 133.15354 2 30 -1.097137412 -0.691203528 129.33817 3 2 0.962508753 -0.046636902 112.342 3 5 1.182766254 -0.0344649 115.132 3 8 1.313860295 -0.125846753 114.406 3 9 1.247544985 -0.130129307 115.234 3 10 1.29444597 0.072399671 115.992 3 12 0.793054197 0.878351294 118.172 3 13 0.814762113 1.114119386 126.2292 3 18 0.768703154 0.553363257 124.544 3 22 -1.13722232 -0.877141286 134.60623 3 23 -1.090096609 -0.679655556 131.22874 3 26 -1.122703452 -0.762113635 136.47357 3 27 -1.166960324 -0.89161669 133.47269

Device Sample Parameter 1 Parameter 2 Parameter 3 Result value (Y) 4 One -0.781378508 0.642367024 -0.430569038 109.826 4 2 0.735528884 -0.620969241 0.162031837 112.342 4 3 -0.492125108 0.978357589 -0.50739231 113.378 4 4 -0.363968799 0.076714271 -0.950819638 113.716 4 5 0.09293687 0.320817203 -0.817713907 115.132 4 6 0.329068085 -0.305395456 -0.240495585 116.054 4 7 -0.296797325 0.241840575 -0.520370278 114.802 4 12 0.783185468 0.213427446 -0.280033976 118.172 4 14 -0.635785345 -0.568000504 0.622599207 134.7551 4 17 -0.742424202 0.618562649 -0.571219651 124.628 4 18 0.330523798 -0.882157867 -0.867567975 124.544 4 19 0.307889112 -0.248182483 -0.373614485 116.86234 4 20 -0.395566013 0.154956765 0.806866291 115.27904 4 22 -0.946601841 0.479679282 0.346077063 134.60623 4 25 -0.874242826 -0.755147241 0.66287369 131.62751 4 27 0.170389281 0.256868103 0.117280167 133.47269 4 28 0.18493015 -0.856778875 -0.22070048 134.97439 4 29 0.753516568 0.141109232 -0.850662894 133.15354 5 8 0.399737331 -0.977928947 -0.320090495 114.406 5 9 -0.330236773 -0.606657031 -0.056213935 115.234 5 10 0.466903148 0.339630476 0.842300719 115.992 5 11 -0.408831099 -0.004097846 -0.156969507 117.348 5 13 -0.875172063 0.976917997 -0.050849825 126.2292 5 15 -0.639701855 -0.491456582 -0.812606768 125.80178 5 16 0.457326264 -0.16595555 0.121438279 125.75846 5 21 -0.715112926 -0.322953123 -0.047068314 139.06036 5 23 0.632576091 0.167569406 0.172688074 131.22874 5 24 -0.05934292 -0.771176134 0.107511349 129.83183 5 26 -0.52144022 -0.0270464 -0.210524318 136.47357 5 30 0.005361003 -0.883473283 -0.366417479 129.33817

Device Sample Parameter 6 Parameter 7 Parameter 8 Parameter 9 Parameter 10 Result value (Y) 6 One -0.781378508 0.642367024 -0.430569038 0.794001154 -0.206811725 109.826 6 2 0.735528884 -0.620969241 0.162031837 0.726322376 -0.285613022 112.342 6 3 -0.492125108 0.978357589 -0.50739231 0.529882675 -0.693414283 113.378 6 4 -0.363968799 0.076714271 -0.950819638 -0.424987004 -0.427375833 113.716 6 6 0.329068085 -0.305395456 -0.240495585 -0.333021658 -0.765796674 116.054 6 20 -0.395566013 0.154956765 0.806866291 0.286904349 0.269865016 115.27904 6 22 -0.946601841 0.479679282 0.346077063 0.754835451 0.228370339 134.60623 6 26 -0.52144022 -0.0270464 -0.210524318 0.477352601 -0.448897646 136.47357 6 29 0.753516568 0.141109232 -0.850662894 -0.403484346 0.368354651 133.15354 6 30 0.005361003 -0.883473283 -0.366417479 0.426186788 -0.019522708 129.33817 7 5 0.09293687 0.320817203 -0.817713907 0.108425837 -0.934161866 115.132 7 9 -0.330236773 -0.606657031 -0.056213935 -0.512994184 -0.550152358 115.234 7 10 0.466903148 0.339630476 0.842300719 0.417076959 -0.836269286 115.992 7 13 -0.875172063 0.976917997 -0.050849825 0.419289854 0.091617096 126.2292 7 15 -0.639701855 -0.491456582 -0.812606768 -0.170637099 0.490948043 125.80178 7 17 -0.742424202 0.618562649 -0.571219651 0.97750808 0.34451023 124.628 7 21 -0.715112926 -0.322953123 -0.047068314 -0.234616531 -0.705792152 139.06036 8 7 -0.296797325 0.241840575 -0.520370278 -0.653139745 0.110615162 114.802 8 8 0.399737331 -0.977928947 -0.320090495 0.51483238 -0.301794193 114.406 8 11 -0.408831099 -0.004097846 -0.156969507 0.554329199 0.441701889 117.348 8 12 0.783185468 0.213427446 -0.280033976 -0.674500044 0.425785672 118.172 8 14 -0.635785345 -0.568000504 0.622599207 0.437962744 0.062812616 134.7551 8 16 0.457326264 -0.16595555 0.121438279 -0.435125549 0.234492445 125.75846 8 18 0.330523798 -0.882157867 -0.867567975 -0.834086686 0.764361956 124.544 8 19 0.307889112 -0.248182483 -0.373614485 -0.41831803 -0.878826338 116.86234 8 23 0.632576091 0.167569406 0.172688074 -0.756290602 -0.294364372 131.22874 8 24 -0.05934292 -0.771176134 0.107511349 -0.00094996 0.252442125 129.83183 8 25 -0.874242826 -0.755147241 0.66287369 -0.274866357 0.220647243 131.62751 8 27 0.170389281 0.256868103 0.117280167 0.668627319 0.002786286 133.47269 8 28 0.18493015 -0.856778875 -0.22070048 0.936022439 0.666383912 134.97439

Device Sample Parameter 11 Parameter 12 Parameter 13 Parameter 14 Result value (Y) 9 One -1.284218231 -0.251190316 -0.959380812 1.188162881 109.826 9 2 1.756441975 -0.166048965 -0.959380812 -1.25669293 112.342 9 3 0.236111872 0.98936949 -0.289669268 0.210220556 113.378 9 4 -1.115292664 0.327767262 -0.62452504 -1.25669293 113.716 9 5 0.067186305 1.348239844 0.380042275 -0.930712155 115.132 9 6 1.249665274 -0.71189291 1.217181704 -0.278750606 116.054 9 7 0.067186305 0.259437168 -0.122241383 -1.25669293 114.802 9 8 -0.270664829 -1.199340518 -1.629092355 -1.582673705 114.406 9 9 -0.946367097 1.35277832 -1.294236584 1.025172493 115.234 9 10 -1.622069365 0.160369063 -1.294236584 1.351153268 115.992 9 11 0.742888573 0.736666795 1.049753819 0.047230169 117.348 9 12 0.236111872 -1.309224108 -0.791952926 1.514143655 118.172 10 13 -0.101739262 1.048545031 1.049753819 1.514143655 126.2292 10 14 -0.77744153 -1.13453932 1.719465362 -1.582673705 134.7551 10 15 -0.608515963 0.519623889 -1.629092355 1.514143655 125.80178 10 16 -1.622069365 -0.732006631 -0.62452504 1.351153268 125.75846 10 17 -1.453143798 0.567478519 1.38460959 -1.25669293 124.628 10 18 0.91181414 -1.024086442 1.38460959 -1.419683317 124.544 10 19 -1.115292664 1.162790465 -1.126808698 0.047230169 116.86234 10 20 -1.453143798 1.599305795 -1.126808698 0.862182106 115.27904 10 21 0.447631319 -0.555794907 -1.611279799 -0.842229872 139.06036 10 22 -1.219257192 -0.339484695 -1.289662813 1.103111782 134.60623 10 23 -0.88587949 -0.59383087 1.444081564 -1.16645348 131.22874 10 24 -0.88587949 -0.1738891 0.961656086 -0.193782654 129.83183 10 25 -0.88587949 -0.243621698 -1.12885432 -0.680118067 131.62751 10 26 -0.385812937 -0.195071729 -0.164003364 -0.518006263 136.47357 10 27 0.781009021 0.066696098 1.283273072 -0.680118067 133.47269 10 28 -1.719323745 0.620536828 1.283273072 -1.328565285 134.97439 10 29 -1.552634894 0.579099275 -0.164003364 0.778888173 133.15354 10 30 -0.219124086 0.140139522 0.318422115 0.454664564 129.33817

Subsequently, in the step ST20 of deriving the first result estimate value, the relationship between the independent variable and the dependent variable in each device is identified by using the collected data as the independent variable and the collected result value Y as the dependent variable. Accordingly, each device derives a first result estimate Y1 ^ for each sample.

In this case, general regression modeling may be used as a method of identifying the relationship between the independent variable and the dependent variable. For example, regression modeling may include ordinary least square (OLS), principal component regression (PCR), and partial least square (PLS). However, the present invention is not limited thereto, and regression modeling may be performed in various ways.

Such a calculation can be easily obtained using an existing statistical tool. In addition, since regression modeling according to other methods or statistical tools for obtaining regression coefficients, compensation values, and the like are widely known, a detailed description thereof will be omitted.

In the above-mentioned reference example, the first result estimate Y1 ^ obtained by modeling the results of Tables 1 to 4 by the partial least square method is shown in Tables 5 to 8, respectively. In this case, since the apparatuses 1, 2 and 3 are used in the process 1, the apparatuses 1, 2 and 3 are modeled, and the processes 2 to 4 are similarly modeled for the apparatuses 4 to 10, respectively. According to modeling, a first result estimate Y1 ^ of each sample is obtained for each device.

Device Sample First result estimate (Y1 ^) One 3 116.76133 One 4 114.17414 One 11 116.95279 One 15 117.74325 One 20 121.50408 One 21 134.59074 One 24 135.18023 One 28 132.48283 2 One 123.01264 2 6 119.87937 2 7 119.68508 2 14 120.88631 2 16 120.18045 2 17 120.25141 2 19 123.02897 2 25 130.49439 2 29 129.69743 2 30 129.68905 3 2 118.98618 3 5 117.55071 3 8 116.90317 3 9 117.33666 3 10 116.6117 3 12 118.13114 3 13 117.49775 3 18 118.96855 3 22 134.16896 3 23 133.45314 3 26 133.83479 3 27 134.38968

Device Sample First result estimate (Y1 ^) 4 One 118.45199 4 2 123.81693 4 3 115.20043 4 4 116.84588 4 5 114.82992 4 6 120.9859 4 7 118.4129 4 12 116.43198 4 14 131.00592 4 17 117.57365 4 18 120.1723 4 19 119.92201 4 20 127.4685 4 22 124.71168 4 25 133.06124 4 27 120.72998 4 28 124.55008 4 29 127.28727 5 8 123.79262 5 9 125.73811 5 10 122.19907 5 11 127.69953 5 13 130.85183 5 15 129.72973 5 16 123.79637 5 21 127.45021 5 23 123.85043 5 24 123.97297 5 26 128.17315 5 30 125.31435

Device Sample First result estimate (Y1 ^) 6 One 118.52935 6 2 123.03736 6 3 111.68416 6 4 119.74735 6 6 117.56881 6 20 125.71448 6 22 123.87304 6 26 119.6167 6 29 126.27996 6 30 128.11534 7 5 118.50039 7 9 122.80739 7 10 114.50284 7 13 126.37511 7 15 128.54218 7 17 126.93083 7 21 124.4186 8 7 120.29527 8 8 125.67153 8 11 128.14092 8 12 119.82084 8 14 132.74968 8 16 123.94925 8 18 120.02931 8 19 119.4526 8 23 120.84325 8 24 127.88868 8 25 131.60618 8 27 127.26566 8 28 130.06991

Device Sample First result estimate (Y1 ^) 9 One 114.47691 9 2 114.6263 9 3 114.97063 9 4 113.50395 9 5 114.76249 9 6 116.53514 9 7 114.40749 9 8 113.23267 9 9 114.05937 9 10 114.10026 9 11 116.12386 9 12 115.60293 10 13 126.45611 10 14 134.42337 10 15 125.1649 10 16 127.46984 10 17 130.4828 10 18 134.90401 10 19 126.17705 10 20 124.08591 10 21 130.96825 10 22 126.98589 10 23 132.68642 10 24 130.29564 10 25 129.6699 10 26 130.35124 10 27 131.90903 10 28 130.2509 10 29 126.47508 10 30 128.86861

Subsequently, the first result estimate Y1 ^ and the result value Y may be rearranged based on a sample so that the second result estimate Y ^ may be smoothly derived. That is, using the first result estimate Y1 ^ as a representative value of the process, the first result estimate Y1 ^ and the result value Y of each process are rearranged based on the samples.

In the above-described reference example, the first result estimate Y1 ^ is used as the representative value of the process, and the first result estimate Y1 ^ and the result value Y of each process are rearranged on a sample basis. Table 9 shows.

Sample First result estimate (Y1 ^) Result value (Y) Process 1 Step 2 Process 3 Process 4 One 123.01264 118.45199 118.52935 114.47691 109.826 2 118.98618 123.81693 123.03736 114.6263 112.342 3 116.76133 115.20043 111.68416 114.97063 113.378 4 114.17414 116.84588 119.74735 113.50395 113.716 5 117.55071 114.82992 118.50039 114.76249 115.132 6 119.87937 120.9859 117.56881 116.53514 116.054 7 119.68508 118.4129 120.29527 114.40749 114.802 8 116.90317 123.79262 125.67153 113.23267 114.406 9 117.33666 125.73811 122.80739 114.05937 115.234 10 116.6117 122.19907 114.50284 114.10026 115.992 11 116.95279 127.69953 128.14092 116.12386 117.348 12 118.13114 116.43198 119.82084 115.60293 118.172 13 117.49775 130.85183 126.37511 126.45611 126.2292 14 120.88631 131.00592 132.74968 134.42337 134.7551 15 117.74325 129.72973 128.54218 125.1649 125.80178 16 120.18045 123.79637 123.94925 127.46984 125.75846 17 120.25141 117.57365 126.93083 130.4828 124.628 18 118.96855 120.1723 120.02931 134.90401 124.544 19 123.02897 119.92201 119.4526 126.17705 116.86234 20 121.50408 127.4685 125.71448 124.08591 115.27904 21 134.59074 127.45021 124.4186 130.96825 139.06036 22 134.16896 124.71168 123.87304 126.98589 134.60623 23 133.45314 123.85043 120.84325 132.68642 131.22874 24 135.18023 123.97297 127.88868 130.29564 129.83183 25 130.49439 133.06124 131.60618 129.6699 131.62751 26 133.83479 128.17315 119.6167 130.35124 136.47357 27 134.38968 120.72998 127.26566 131.90903 133.47269 28 132.48283 124.55008 130.06991 130.2509 134.97439 29 129.69743 127.28727 126.27996 126.47508 133.15354 30 129.68905 125.31435 128.11534 128.86861 129.33817

Subsequently, in the step ST30 of deriving the second result estimate value, the first result estimate value Y1 ^ for the processes based on each sample is used as the independent variable and the result value Y is the dependent variable in each sample. The relationship between the independent variable and the dependent variable is identified, and accordingly, a second result estimate Y ^ for each sample is derived. In this case, as a method of identifying the relationship between the independent variable and the dependent variable, a method using the regression coefficient and the compensation value obtained by the general regression modeling described above may be used.

Referring to the above-described reference example, the regression coefficients and the compensation values obtained through regression modeling through partial least squares from the rearranged data in Table 9 are shown in Table 10 below.

Process 1 Step 2 Process 3 Process 4 Compensation Regression coefficient 0.46900 0.22800 0.23700 0.55600 -60.60300

The equation for obtaining the second result estimate Y ^ from the first result estimate Y1 ^ using the regression coefficient and the compensation value is shown in Equation 1 below.

&Quot; (1) "

Second result estimate (Y ^) = 0.46900 * (first result estimate of step 1) + 0.22800 * (first result estimate of step 2) + 0.23700 * (first result estimate of step 3) + 0.55600 * (step 4 First estimate of result)-60.60300

The second result estimate Y ^ for each sample calculated according to this equation is shown in Table 11 below.

Sample Second result estimate (Y ^) One 115.93768 2 116.42443 3 110.91335 4 111.17115 5 112.70005 6 115.96247 7 114.74739 8 115.29092 9 115.71879 10 112.62431 11 118.39942 12 114.11861 13 124.70271 14 132.27151 15 124.35764 16 124.34042 17 125.33696 18 126.15026 19 123.00767 20 124.33582 21 133.99383 22 130.82657 23 132.74639 24 133.92595 25 134.33415 26 132.32198 27 133.56469 28 133.2842 29 129.60251 30 130.91508

Next, in the step ST40 of detecting a problem process, the problem process is detected based on the second result estimated value Y ^.

More specifically, according to a predetermined criterion, the second result estimated value Y ^ is determined to be good if it is within a desired level, and to be bad if it is outside the level. The contribution is calculated to detect the process with the largest contribution value as the problem process. In this case, the contribution may be calculated as in Equation 2 below.

&Quot; (2) "

Contribution = {(average of bad group)-(average of good group)} * regression coefficient

That is, after subtracting the average of the good group consisting of the sample determined to be good from the average of the bad group consisting of the sample determined to be defective, multiplying the regression coefficients to obtain the contribution that contributed to the result value (Y) in each process.

In the above-described reference example, assuming that the second result estimated value Y ^ is less than 120, it is determined to be good, and if it is 120 or more, it is determined to be bad, and samples 1 to 12 are good groups and samples 13 to 30 are bad groups. to be. In each process, multiplying the difference between the mean of the defective group (ie, the average of samples 13 to 30) and the mean of the good group (ie, samples 1 to 12) by the regression coefficient, the contribution of each process is calculated. This is shown in Table 12.

Process 1 Step 2 Process 3 Process 4 Average of good group 117.99874 120.36711 120.02552 114.70017 Average of bad group 127.11345 125.53454 125.76226 129.31250 Difference 9.11470 5.16743 5.73675 14.61233 Regression coefficient 0.46900 0.22800 0.23700 0.55600 Contribution 4.27480 1.17817 1.35961 8.12446

In Table 12, it can be seen that the contribution of Step 4 is 8.12446, which is the largest among Steps 1-4. Therefore, step 4 is detected as a problem step.

Next, in the step ST50 of detecting the problem device, the problem device is derived from the second result estimate Y ^ for the device and the sample. The specific method of detecting the problem apparatus is similar to the process of deriving a problem process.

That is, the total loss is calculated to detect the device having the largest total loss value as the problem device. In this case, the total loss may be calculated as in Equation 3 below.

&Quot; (3) "

Total loss = {(average of bad group)-(average of good group)} * number of samples in bad group * regression coefficient

That is, after subtracting the average of the good group consisting of the sample determined to be good from the average of the bad group consisting of the sample determined to be defective, multiplying the regression coefficients to obtain the contribution that contributed to the result value (Y) in each process. At this time, the average of the good group is calculated as the average of the samples determined to be a good group in the samples processed in all devices, the average of the bad group is calculated as the average of the samples determined by the bad group among the samples processed in the device. This is because the difference between the equipment can be determined.

Referring to the above-described reference example, as shown in Table 13, samples 1 to 12 of the device 9 are good groups and samples 13 to 30 of the device 10 are bad groups. Calculating the total loss as shown in Table 14, the total loss of device 9 is zero and the total loss of device 10 is 149.56705. Thus, device 10 is detected as a problem device.

Device Sample Second result estimate (Y ^) judgment 9 One 115.93768 Good 9 2 116.42443 Good 9 3 110.91335 Good 9 4 111.17115 Good 9 5 112.70005 Good 9 6 115.96247 Good 9 7 114.74739 Good 9 8 115.29092 Good 9 9 115.71879 Good 9 10 112.62431 Good 9 11 118.39942 Good 9 12 114.11861 Good 10 13 124.70271 Bad 10 14 132.27151 Bad 10 15 124.35764 Bad 10 16 124.34042 Bad 10 17 125.33696 Bad 10 18 126.15026 Bad 10 19 123.00767 Bad 10 20 124.33582 Bad 10 21 133.99383 Bad 10 22 130.82657 Bad 10 23 132.74639 Bad 10 24 133.92595 Bad 10 25 134.33415 Bad 10 26 132.32198 Bad 10 27 133.56469 Bad 10 28 133.2842 Bad 10 29 129.60251 Bad 10 30 130.91508 Bad

division Device 9 Device 10 Average of good group 114.50071 Average of bad group 0 129.44546 Difference -114.50071 14.94475 Sample count of bad group 0 18 Regression coefficient 0.55600 Total loss 0.00000 149.56705

As described above, in the present embodiment, after passing through a plurality of processes using a plurality of devices, the resultant value Y is measured, and from the resultant value Y, the first result estimated value Y1 ^ and the second result estimated value Y ^) This makes it possible to accurately detect the problem step and the device even in a complicated environment having a plurality of steps using a plurality of devices.

At this time, a second result estimate Y ^ for each sample is derived by using the first result estimate Y1 ^ obtained through modeling in each apparatus as a representative value of each process. Since the first result estimate Y1 ^ through modeling in each apparatus is used as a representative value of each process, it is possible to easily detect a problem process, and the first result estimate Y1 ^ varies depending on the number of samples of the apparatus. The problem may be complemented by a second result estimate Y ^.

In addition, after detecting the problem process, the problem device may be derived based on the devices corresponding to the problem process and the second result estimate Y ^. Although not described separately, after the problem apparatus is derived, the problem parameter may be detected based on the parameters in the problem process and the problem apparatus and the second result estimated value Y ^. The detection method of the problem parameter is very similar to the detection method of the problem process and / or the problem apparatus and will not be described separately.

Features, structures, effects and the like according to the above-described embodiments are included in at least one embodiment of the present invention, and the present invention is not limited to only one embodiment. Further, the features, structures, effects, and the like illustrated in the embodiments may be combined or modified in other embodiments by those skilled in the art to which the embodiments belong. Therefore, it should be understood that the present invention is not limited to these combinations and modifications.

Claims (8)

Collecting monitoring data (or representative values of the monitoring data) of parameters for the samples processed by the plurality of devices in the plurality of processes, and result values for confirming the results of the process;
Deriving a first result estimate for each sample from each device using the monitoring data as an independent variable and the result value as a dependent variable;
Deriving a second result estimate for each sample using the first result estimate as an independent variable as a representative value of each process and the result value as a dependent variable; And
Detecting a problem process by calculating a contribution of each process based on the second result estimated value
Including a problem detection method.
The method of claim 1,
Between deriving the first result estimate and the second result estimate,
And rearranging the first result estimate value and the result value for each process based on the respective samples.
The method of claim 1,
Deriving a relationship between the independent variable and the dependent variable using regression modeling, respectively, in deriving the first result estimate and deriving the second result estimate.
The method of claim 3,
The regression modeling is at least one of ordinary least square (OLS), principal component regression (PCR), and partial least square (PLS).
The method of claim 3,
In the detecting of the problem process, the samples are divided into a defective group and a good group based on the second result estimate value, and the contribution of each process is derived by the following equation.
≪ Equation &
Contribution = {(average of bad group)-(average of good group)} * regression coefficient
(Where, the regression coefficient is a coefficient derived by the regression modeling for deriving the second result estimate.)
The method of claim 1,
When there are a plurality of devices for the problem process,
After detecting the problem process, further comprising calculating a total loss of each device for the problem process to detect the problem device.
The method according to claim 6,
In the deriving of the second result estimate, a relationship between the independent variable and the dependent variable is derived using regression modeling.
In the detecting of the problem device, the samples are divided into a bad group and a good group based on the second result estimate value, and the total loss of each device is derived by the following equation.
≪ Equation &
Total loss = {(average of bad group)-(average of good group)} * number of samples in bad group * regression coefficient
(Where, the regression coefficient is a coefficient derived by the regression modeling for deriving the second result estimate.)
The monitoring data (or representative values of the monitoring data) of the parameters for the samples processed in the plurality of devices for the plurality of processes and the result values for confirming the results of the process are collected, Derive a first result estimate for each sample,
At least one of a problem process, a problem apparatus, and a problem parameter is derived by deriving a second result estimate for each sample using the first result estimate as an independent variable as the representative value of each process and the result value as a dependent variable. Derivation, problem detection method.
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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR101466798B1 (en) * 2014-05-20 2014-12-01 삼성전자주식회사 Method and apparatus for discovering the equipment causing product faults in manufacturing process
KR20180011048A (en) 2015-05-25 2018-01-31 닛산 가가쿠 고교 가부시키 가이샤 Composition for applying resist pattern
KR20190059893A (en) 2016-10-04 2019-05-31 닛산 가가쿠 가부시키가이샤 Method for preparing composition for applying resist pattern using solvent substitution method

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KR20090077601A (en) * 2008-01-11 2009-07-15 (주)아이세미콘 The method of multi-variate parameter control limit by yield management

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR101466798B1 (en) * 2014-05-20 2014-12-01 삼성전자주식회사 Method and apparatus for discovering the equipment causing product faults in manufacturing process
KR20180011048A (en) 2015-05-25 2018-01-31 닛산 가가쿠 고교 가부시키 가이샤 Composition for applying resist pattern
KR20190059893A (en) 2016-10-04 2019-05-31 닛산 가가쿠 가부시키가이샤 Method for preparing composition for applying resist pattern using solvent substitution method

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