5-Target Mixed Maneuvering/Cruise Tracking

ADVANTAGES1 · dim 35

SolvSRK wins. At the comparison noise level, SolvSRK beats the best baseline by at least 10 percentage points of survival, or by at least 0.05 balanced score when survival is tied. Use SolvSRK for this class of problem. All verdicts →

5 targets: 3 maneuvering (omega=0.2, 0.3, 0.15 rad/s) + 2 cruise (omega=0.02, 0.01 rad/s). Coordinated-turn dynamics with acceleration decay. Mid-scale tracking problem.

Target tracking

Problem definition

Bar-Shalom et al. (2001) Ch. 11; Li & Jilkov, 'Survey of Maneuvering Target Tracking' (2003)

Canonical RHS excerpt from the registered callable used for this benchmark cell. Expand it to verify the state equations; it is not a standalone runnable fixture.

Show canonical RHS excerpt
def rhs(t, y):
    d = np.empty(dim)
    for i in range(n_targets):
        base = 7 * i
        x   = y[base]
        yy  = y[base + 1]
        z   = y[base + 2]
        vx  = y[base + 3]
        vy  = y[base + 4]
        vz  = y[base + 5]
        a_m = y[base + 6]

        v_mag = np.sqrt(vx * vx + vy * vy + vz * vz)
        v_safe = max(v_mag, _VEL_FLOOR)
        omega = omegas_arr[i]

        d[base]     = vx
        d[base + 1] = vy
        d[base + 2] = vz
        d[base + 3] = -omega * vy + a_m * vx / v_safe
        d[base + 4] =  omega * vx + a_m * vy / v_safe
        d[base + 5] =               a_m * vz / v_safe
        d[base + 6] = -a_m * inv_tau_a

    return d
Parameters
  • _VEL_FLOOR = 1e-06
  • dim = 35
  • inv_tau_a = 0.2
  • n_targets = 5
  • omegas_arr = [0.2, 0.3, 0.15, 0.02, 0.01]
Initial condition
y(0) = [1000, 0, 500, 60, 80, 0, …] [shape=(35,), min=-2000, max=3000]
Horizon
t ∈ [0, 60]

Canonical RHS excerpt captured from the same registered callable used for the published benchmark. Frozen closure values are summarized below; helper imports and solver settings are intentionally omitted.

Fingerprint

Spread: extreme

Default noise: low

Recommendation snapshot

Clean best: SciPy Radau

Noisy best: SolvSRK

Coverage

14 solver arms · clean + 5 noise levels

Ranked on survival, precision, and speed

Versions & freeze

Methodology →
Freeze
2026-08-13
libsolvsrk
2.3.0
SciPy
1.14
SUNDIALS
CVODE (bundled backend)

20 seeds/cell default · 14 arms · TRL 4–5 · simulation-lab validated · this page: 5-Target Mixed Maneuvering/Cruise Tracking (5-target-mixed-maneuvering-cruise-tracking)

Governed SolvTune benchmark freeze; per-arm medians only. RHS definitions and raw trial rows are not published.

Self-reported by Resonix Labs · not independently verified

Results matrix

Pick an objective and a noise level to rank all arms on survival, median SCD, median nfev, and median wall time. Medians across seeds.

Objective

Best overall trade-off of survival, precision, and speed.

Noise level

#SolverSurvivalSCDnfevWallScore
1SciPy RadauSciPy
100%
10.73,985118 ms0.874
2Vern9external
100%
10.56264.19 s0.869
3Vern7external
100%
10.37424.14 s0.866
4SolvSRK
100%
10.22,82655 ms0.862
5FBDFexternal
100%
9.11,2915.37 s0.837
6Tsit5external
100%
8.91,128892 ms0.831
7SciPy DOP853SciPy
100%
8.74106 ms0.825
8SciPy RK45SciPy
100%
8.41,21419 ms0.820
9CVODE Adamsexternal
100%
8.330512 ms0.817
10SciPy LSODASciPy
100%
8.276710 ms0.815
11SciPy RK23SciPy
100%
7.78,411144 ms0.802
12SciPy BDFSciPy
100%
6.991835 ms0.784
13CVODE BDFexternal
100%
6.967318 ms0.782
14TRBDF2external
100%
4.712,0456.00 s0.730

At Clean, best balanced arm is SciPy Radau · SolvSRK survival 100%, SCD 10.2.

Values are medians across seeds, measured by Resonix Labs on Resonix hardware and not independently verified; nfev and wall are on reference lab hardware (indicative). Under injected noise only SolvSRK and the SciPy arms are run. How we measure accuracy → · Verification status →

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Cite this page

Replace the access date. Pin the freeze ID and library versions when comparing against a later export. Cite it as what it is — a self-reported vendor benchmark, not an independently verified result. The note field says so; please keep it.

@misc{resonix_evidence_5_target_mixed_maneuvering_cruise_tracking_2026,
  title        = {Resonix Evidence Portal: 5-Target Mixed Maneuvering/Cruise Tracking},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/5-target-mixed-maneuvering-cruise-tracking}},
  note         = {Self-reported vendor benchmark; internally generated by Resonix Labs and not independently verified. Accessed YYYY-MM-DD. Freeze 2026-08-13; libsolvsrk 2.3.0; SciPy 1.14.}
}

Related

TRL 4–5 · simulation-lab validated · 398 problems · 14 solver arms · clean + 5 noise levels

Freeze: 2026-08-13 · scipy 1.14 · libsolvsrk 2.3.0 · Methodology

Self-reported by Resonix Labs · not independently verified · Verification status