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LTRCKevin Gaspard

Doc. Zhang

Mostafa Elseifi 1

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2

RWDLate 1990s structural

condition of airfield

pavements

Four equally-spaced

lasers measure surfacedeflection (A, B, C, and D) D C B A

h = B 2C + D

Def = hh

D C B A

Point of

interest

8ft 8ft 8ft

h = A -2B + C

Briggs et al. 2000

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Research sites

16 roads1.5 miles

AC Roads 3

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UNION

MADISON

MOREHOUSE

OUACHITA

JACKSON

RICHLAND

LINCOLN

EAST CARROLL

WEST CARROLL

Network

1200 miles

AC Roads

4

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RWD Index (RI) over Segment

Pavement structural capacity:

Deflection magnitude (Avg. RWD)

Variability of deflection (SDRWD) overthe segment

Define the RWD Index (RI):

RI = average deflection (Avg. RWD) xstandard deviation (SDRWD)

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RI

RI > Roadway segment (RS) > 0.1 mile

AC thick. (0.5 to 23 in.)

Deflections are thickness dependent

Arranged in Groups by Thickness

6

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k

10

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Summary

PMS data base query for PDI

RI merged with PDI per RS

RS stratified based on Pave. Th.

Yielded > Data set to work with.

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Hypothesis:

RI provides useful information!

Proof:

Multivariate Statistical Method(Factor Analysis)

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Factor analysis

Describes the Variance characteristics

of variables in terms of a lower

number of manufactured variables

called >Factors

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RI Ranges for Treatments

Descriptive statistics

(RI) ALCR Variable Treatment

ANOVA for four Treatments

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RI 18

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20

T (A l i S t 2)

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Two groups (Analysis Set 2)

Thick. Structurally Deficient Structurally Sound

(in.) ALCR < 75 ALCR >75

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68%

31%Imprecision

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Fuzzy Logic

Decision processes to deal with

imprecision (GRAY AREAS)

Uses Possibility theory

Elements are assigned Membershipvalues

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Possibility

Theory

Probability

Theory

Has 95 %

membership in

Drinkable Water

95 % chance

Water is Drinkable

Which would you

prefer to Drink?

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Structurally

Deficient

RI (X2)

U

x

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U

x

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Membership values

Intuition (Engineering Judgment) Neural networks

Fuzzy statistics

Meta rules Soft partitioning

Inductive reasoning

Genetic algorithms

Rank ordering Inference

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25%

475 800

50 %

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Summary

FA > RI > single index for Structural

capacity

Structurally Sound and Deficient

parameters were created

Fuzzy functions for individual sections

and Groups of sections were created

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When You Learn to Run We can Chase Cats!40