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DARPA ULTRALOG Final Report - Industrial and Manufacturing ...

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Manuscript for IEEE Transactions on Automatic Control 21<br />

by each thread in a round is equal to its assigned weight. Also, the distribution of CPU time can<br />

be deterministic or stochastic. While using stochastic value function we repeat 5 experiments.<br />

Table 2. Experimental conditions<br />

Condition Stress f i (v i )<br />

Con1 Unstressed Deterministic<br />

Con2 Unstressed Exponential<br />

Con3 Stressed Deterministic<br />

Con4 Stressed Exponential<br />

w i =0.1for all i∈A, w A4 ′ =1 in 500≤t≤1000 for Con3 <strong>and</strong> Con4<br />

Initial value mode: (2, 5, 5, 3 for A 4 to A 15 )<br />

We use four different control policies for each experimental condition as shown in Table 3.<br />

FL <strong>and</strong> FH use fixed value modes over time. AC-X policies represent the adaptive control<br />

mechanism we have designed. In AC-N the system is controlled under naïve decision model<br />

while in AC-S under stable decision model. When using adaptive policies the system makes<br />

decision every 100 time units (i.e., SW=100).<br />

Table 3. Control policies used for experimentation<br />

Control policy<br />

FL<br />

FH<br />

AC-N<br />

AC-S<br />

Description<br />

Fixed with lowest value mode<br />

Fixed with highest value mode<br />

Adaptive control under naïve decision model<br />

Adaptive control under stable decision model<br />

8.2 Results<br />

Numerical results from the experimentation are summarized in Table 4. The adaptive control<br />

policies show significant advantages compared to non-adaptive ones in all different conditions.<br />

But, the benefit of AC-S is not clear in the numerical results. Though AC-S outperforms AC-N<br />

in deterministic environments, AC-N outperforms AC-S in stochastic environments. This means<br />

that AC-S cannot guarantee better performance especially in stochastic environments. But, we

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