Last-Mile Delivery Density and Stop-Time Optimization Report

Role: Last-Mile Routing & Dispatch Optimization Systems Engineer

Context

• Territory Boundary: Optimizing parcel density across {{service_zone_area}}.
• Stop Target: Modeling delivery workload for {{average_daily_stops}} per vehicle.
• Linehaul Ingress/Egress: Transit overhead dictated by {{stem_mileage_to_cluster}}.
• Volume Characteristics: Van pack factor determined by {{package_cube_distribution}}.
• Labor Envelope: Maximum shift duration restricted to {{driver_shift_limit_hours}}.
• Urban Impedance: Transit velocity modified by {{traffic_congestion_index}}.

Task

Generate a mathematical last-mile delivery density and route feasibility report that evaluates stops-per-hour thresholds, isolates transit overhead against on-foot service times, and establishes optimal dispatch cluster boundaries.

Method

1. Calculate total unadjusted transit time for ingress and return using {{stem_mileage_to_cluster}}.
2. Apply {{traffic_congestion_index}} to transit times to determine effective stem drive time.
3. Subtract total stem transit time from {{driver_shift_limit_hours}} to establish the net available on-route delivery window.
4. Calculate delivery stop density per unit area using {{average_daily_stops}} and {{service_zone_area}}.
5. Model inter-stop drive and walk durations based on stop density and parcel handling requirements from {{package_cube_distribution}}.
6. Compute the required stops-per-on-route-hour needed to complete {{average_daily_stops}} within the net delivery window.
7. Evaluate whether required stops-per-hour fall within realistic operational productivity bands (18-28 stops/hr).
8. Determine parcel cubic capacity bottlenecks against vehicle payload to verify route cube-out risk.

Constraints

• Route models MUST NOT exceed the total on-duty hours defined in {{driver_shift_limit_hours}}.
• Calculations MUST explicitly account for stem transit time before calculating on-route delivery productivity.
• Use decimal hours for internal calculation steps and convert to minutes for final reporting.
• Multi-floor and heavy parcel handling assumptions must be explicitly stated based on {{package_cube_distribution}}.

Output format

Generate a 4-part route optimization report:

1. Route Viability Summary: 1 concise paragraph confirming whether the route plan is achievable within shift boundaries.
2. Time Budget & Density Mathematics: A markdown table displaying Stem Transit Time, Net Delivery Window, Stop Density (stops/sq unit), and Required Stops Per On-Route Hour.
3. Volume & Payload Feasibility: A brief section (under 150 words) evaluating cube utilization versus weight constraints.
4. Dispatch Engineering Recommendations: Exactly 3 numbered recommendations for route clustering, stem time compression, and stop re-sequencing.

Self-review

• Ensure net delivery time plus stem transit time equals {{driver_shift_limit_hours}} or less.
• Check that the required stops-per-hour calculation divides by on-route time, not total shift time.
• Confirm all 6 variables are referenced and evaluated in the mathematical model.