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IP97 versus SJ87

No entry/exit was allowed. Here, we could only obtain tracking results for $N\leq 45$, since for $N> 45$the computational cost of the iterative SJ87 becomes prohibitive. At low speeds (figure 7), the trajectory performance of SJ87 is better, while the link performances are very similar.


  
Figure 7: IP97 versus SJ87 for low speeds.
\begin{figure}
\begin{center}
{\epsfig{figure=/users/mitya/illustr/psm/Sethi/S1...
...lustr/psm/Sethi/S1_3link.eps,width=0.47\linewidth} }
\end{center} \end{figure}

At high speeds (figure 8), one observes an unusual behavior of the plots: the trajectory performance of SJ87 is still better, while the link performance is worse. In all other cases, the link error is consistent with the trajectory error. Analysis of SJ87 shows that, occasionally, the algorithm yields a few completely wrong trajectories with many invalid links, while the other trajectories are tracked properly. (See section 6.1 for a discussion.)


  
Figure 8: IP97 versus SJ87 for high speeds.
\begin{figure}
\begin{center}
{\epsfig{figure=/users/mitya/illustr/psm/Sethi/S1...
...ustr/psm/Sethi/S1_12link.eps,width=0.47\linewidth} }
\end{center} \end{figure}



Dmitry Chetverikov
1998-11-24