### Abstract

Correlations between calculation parameters directly influence the results of probabilistic calculations and their interpretation. In Monte Carlo simulations carried out to systematically integrate uncertainties into the calculation process, input parameter correlations are reflected by correlation coefficients and predominantly influence the chance/risk ratio and ranges of results. Correlations are usually determined indirectly by analyzing existing data series gathered from measurements, surveys, experiments etc. and investigated with respect to their linear relationship. Another option is to directly determine correlation coefficients based on expert surveys. In 2015-16, Kummer and Hofstadler conducted a survey at Graz University of Technology in which experts provided estimates of the coefficients corresponding to the correlations between certain parameters. These considerations concentrated on the labor intensity of reinforced concrete works expressed by the total labor consumption rate, which indicates the amount of labor required for reinforced concrete works per cubic meter of concrete. The total labor consumption rate of reinforced concrete works must consider all activities carried out within the system, such as shuttering, reinforcing and concreting. This paper presents and interprets survey results shown in violin plots, and M-estimators are derived to deliver sound recommendations for considering correlations when determining the total labor consumption rate of reinforced concrete works. An example demonstrates the influence of input parameter correlations on calculating the total labor consumption rate of reinforced concrete works.

Original language | English |
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Title of host publication | ISEC 2017 - 9th International Structural Engineering and Construction Conference: Resilient Structures and Sustainable Construction |

Publisher | ISEC Press |

ISBN (Electronic) | 9780996043748 |

Publication status | Published - 2017 |

Event | 9th International Structural Engineering and Construction Conference: Resilient Structures and Sustainable Construction, ISEC 2017 - Valencia, Spain Duration: 24 Jul 2017 → 29 Jul 2017 |

### Conference

Conference | 9th International Structural Engineering and Construction Conference: Resilient Structures and Sustainable Construction, ISEC 2017 |
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Country | Spain |

City | Valencia |

Period | 24/07/17 → 29/07/17 |

### Fingerprint

### Keywords

- Chance/risk ratio
- Distribution function
- Expert survey
- Histogram
- Monte Carlo simulation
- Violin plot

### ASJC Scopus subject areas

- Civil and Structural Engineering
- Building and Construction

### Cite this

*ISEC 2017 - 9th International Structural Engineering and Construction Conference: Resilient Structures and Sustainable Construction*ISEC Press.

**Probabilistic calculation of total labor consumption rate of reinforced concrete works -with and without correlations.** / Kummer, Markus; Hofstadler, Christian.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

*ISEC 2017 - 9th International Structural Engineering and Construction Conference: Resilient Structures and Sustainable Construction.*ISEC Press, 9th International Structural Engineering and Construction Conference: Resilient Structures and Sustainable Construction, ISEC 2017, Valencia, Spain, 24/07/17.

}

TY - GEN

T1 - Probabilistic calculation of total labor consumption rate of reinforced concrete works -with and without correlations

AU - Kummer, Markus

AU - Hofstadler, Christian

PY - 2017

Y1 - 2017

N2 - Correlations between calculation parameters directly influence the results of probabilistic calculations and their interpretation. In Monte Carlo simulations carried out to systematically integrate uncertainties into the calculation process, input parameter correlations are reflected by correlation coefficients and predominantly influence the chance/risk ratio and ranges of results. Correlations are usually determined indirectly by analyzing existing data series gathered from measurements, surveys, experiments etc. and investigated with respect to their linear relationship. Another option is to directly determine correlation coefficients based on expert surveys. In 2015-16, Kummer and Hofstadler conducted a survey at Graz University of Technology in which experts provided estimates of the coefficients corresponding to the correlations between certain parameters. These considerations concentrated on the labor intensity of reinforced concrete works expressed by the total labor consumption rate, which indicates the amount of labor required for reinforced concrete works per cubic meter of concrete. The total labor consumption rate of reinforced concrete works must consider all activities carried out within the system, such as shuttering, reinforcing and concreting. This paper presents and interprets survey results shown in violin plots, and M-estimators are derived to deliver sound recommendations for considering correlations when determining the total labor consumption rate of reinforced concrete works. An example demonstrates the influence of input parameter correlations on calculating the total labor consumption rate of reinforced concrete works.

AB - Correlations between calculation parameters directly influence the results of probabilistic calculations and their interpretation. In Monte Carlo simulations carried out to systematically integrate uncertainties into the calculation process, input parameter correlations are reflected by correlation coefficients and predominantly influence the chance/risk ratio and ranges of results. Correlations are usually determined indirectly by analyzing existing data series gathered from measurements, surveys, experiments etc. and investigated with respect to their linear relationship. Another option is to directly determine correlation coefficients based on expert surveys. In 2015-16, Kummer and Hofstadler conducted a survey at Graz University of Technology in which experts provided estimates of the coefficients corresponding to the correlations between certain parameters. These considerations concentrated on the labor intensity of reinforced concrete works expressed by the total labor consumption rate, which indicates the amount of labor required for reinforced concrete works per cubic meter of concrete. The total labor consumption rate of reinforced concrete works must consider all activities carried out within the system, such as shuttering, reinforcing and concreting. This paper presents and interprets survey results shown in violin plots, and M-estimators are derived to deliver sound recommendations for considering correlations when determining the total labor consumption rate of reinforced concrete works. An example demonstrates the influence of input parameter correlations on calculating the total labor consumption rate of reinforced concrete works.

KW - Chance/risk ratio

KW - Distribution function

KW - Expert survey

KW - Histogram

KW - Monte Carlo simulation

KW - Violin plot

UR - http://www.scopus.com/inward/record.url?scp=85027880081&partnerID=8YFLogxK

M3 - Conference contribution

BT - ISEC 2017 - 9th International Structural Engineering and Construction Conference: Resilient Structures and Sustainable Construction

PB - ISEC Press

ER -