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Xiao Liu PhD Thesis.pdf - Faculty of Information and Communication ...

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the perspective <strong>of</strong> execution time<br />

D ( a i )<br />

The maximum duration <strong>of</strong> a i<br />

d ( a i )<br />

The minimum duration <strong>of</strong> a i<br />

FitnessVal ue( TotalMakespan,TotalCost)<br />

FT<br />

GA<br />

K<br />

The fitness value <strong>of</strong> a c<strong>and</strong>idate solution<br />

with total makespan (TotalMakespan)<br />

<strong>and</strong> total cost (TotalCost)<br />

The predefined fixed confidence<br />

threshold for self-recovery<br />

Genetic Algorithm<br />

The initial value for equal segmentation<br />

K-MaxSDev<br />

{( )}<br />

A non-linear time-series segmentation<br />

algorithm<br />

L a i , R j<br />

An integrated Task-Resource list<br />

M ( a i )<br />

The mean duration <strong>of</strong> a i<br />

MaxSDev<br />

Min_pattern_length<br />

MPTR ( a p )<br />

2<br />

N(<br />

µ i,<br />

σi<br />

)<br />

NIL<br />

OptMakespa n<br />

OptCost<br />

The maximum st<strong>and</strong>ard deviation<br />

The minimum length threshold for a<br />

valid time-series pattern<br />

The Minimum <strong>of</strong> all Probability Time<br />

Redundancies at a p<br />

A normal distribution model which has<br />

the expected value <strong>of</strong> µ i <strong>and</strong> st<strong>and</strong>ard<br />

deviation <strong>of</strong> σ i<br />

The natural condition without temporal<br />

violation h<strong>and</strong>ling<br />

The optimisation ratio on total makespan<br />

The optimisation ratio on total cost<br />

Patterns = { P 1,<br />

P 2...<br />

P m}<br />

A set <strong>of</strong> time-series patterns which<br />

consists <strong>of</strong> m patterns<br />

The Probability Time Deficit <strong>of</strong> U (SW )<br />

PTD ( U ( SW ), a p )<br />

at a p<br />

182

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