+ + + + +
+ +
+
+ Active Fleet / Standby +
28 / 34,972
+ 100% Demand Served +
+
+ Fleet Travel Distance +
1,893 km
+ 1,176 miles +
+
+ Windshield Travel Time +
39.2 hrs
+ Avg 48 km/h +
+
+ Fleet Operating Cost +
$5,458
+ IRS $0.67/mi + Labor +
+
+ CO2 Emissions +
475 kg
+ EPA 0.404 kg/mi +
+
+ Skill & Shift Compliance +
100% / 92%
+ 0 Feasibility Errors +
+
+ + +
+
+
+ US Multi-Depot Geographic Route Topology + Click any stop or hub to inspect details +
+
+ + + +
+
+ + +
+ + +
+
+ + +
+
+ + +
08:00 AM
+
+
+ +
+ 08:00 Start + 10:00 Morning + 12:00 Midday + 14:00 Afternoon + 17:00 EOD +
+
+
+ + +
+
+
+
+ + +
+
+

Executive 3-Way Comparative Benchmark

+

+ Rigorous comparative evaluation across Classical FIFO, Deterministic Hard K-Means, and Multi-Tier Quantum F-Means (SC-QFCM). +

+
+ + +
+ + + + +
+ + +
+
+

Fleet Distance & Windshield Hours

+
+ +
+
+
+

Daily Operating Cost Breakdown ($)

+
+ +
+
+
+

Depot & Technician Workload Variance ($\sigma$)

+
+ +
+
+
+

Environmental Footprint (kg CO2 Averted)

+
+ +
+
+
+ + +
+

Quantitative Methodology Audit Matrix

+ + + + + + + + + + + + + + + + +
Optimization ArchitectureTotal DistanceWindshield HrsOperating CostCO2 (kg)Depot Balance ($\sigma$)Shift ComplianceRuntime
+
+
+ + +
+
+

Classiq Quantum Synthesis Engine Architecture

+

+ Detailed breakdown of the synthesized intra-route QAOA quantum circuits, swap-test Born's rule overlaps, and Ising Hamiltonians. +

+
+ +
+
+ Ansatz Model +

Intra-Route QAOA Hamiltonian

+

+ Combinatorial sub-route permutation mapping $x_{it} \in \{0, 1\}$ with degree and MTZ subtour penalties compiled into Ising Pauli-Z terms. +

+
+ $$H_C = A \sum_{i} \left(1 - \sum_t x_{it}\right)^2 + B \sum_{t} \left(1 - \sum_i x_{it}\right)^2 + C \sum_{i,j,t} d_{ij} x_{it} x_{j,t+1}$$ +
+
+ +
+ Circuit Metric +

Quantum Circuit Synthesis Telemetry

+
    +
  • Qubits Allocated per Sub-Problem: 9 - 25 Qubits
    • +
  • QAOA Variational Layers ($p$): 2 Layers
    • +
  • Synthesized Circuit Depth: 22 - 58
    • +
  • 2-Qubit Entangling CX Gates: 72 - 300 Gates
    • +
  • Ancilla Measurement Shots: 2,048 Shots
    • +
+
+ +
+ Fidelity Metric +

Born's Rule Swap-Test Overlap

+

+ Continuous quantum distance computed via destructive interference probability $P(|1\rangle_{\text{anc}}) = \frac{1 - |\langle \psi_i | c_k \rangle|^2}{2}$. +

+
+ $$D_Q(\psi_i, c_k) = 2 \cdot P(|1\rangle_{\text{anc}}) = 1.0 - |\langle \psi_i | c_k \rangle|^2$$ +
+
+
+
+