What mathematical model and units does Lattice Forecourt use?

Lattice Forecourt applies p_market = median(M); p_floor = c_mills + m_min; p_capped = clamp(p_target, p_0 − Δ_max, p_0 + Δ_max); p_final = round_to_tick(max(p_capped, p_floor), τ_mills). Units: All monetary prices, costs, margins, caps, and rounding ticks in integer mills per litre (1,000 mills = 1.00 currency unit); volume in millilitres (mL).

What are the operational boundaries and limitations of Lattice Forecourt?

Deterministic fuel-pricing workflow with specialist checks, margin floors, change caps and rounding. No live AI/model agents or actual commercial price changes. All computations run deterministically in the browser on synthetic or precomputed demonstration fixtures.

TECHNICAL METHODOLOGY & VERIFICATION SPECIFICATION

Lattice Forecourt: Mathematical Model, Units & Reproducible Benchmarks

Q: How can I reproduce the benchmark results in Lattice Forecourt?

Open the interactive browser workspace at ./run/, select Case 1 to inspect the worked result (Case 1 (Current price p_0 = 1,600 mills/L, wholesale cost c = 1,400 mills/L, competitor market = [1,610, 1,640, 1,650] mills/L, min margin = 100 mills/L, max change cap = 100 mills/L, rounding tick = 10 mills/L): Market median is 1,640 mills/L. Margin floor requires ≥ 1,500 mills/L (passed). Change cap allows [1,500, 1,700] mills/L (passed). Tick rounding at 10 mills preserves 1,640 mills/L, so the deterministic gate status is 'Clear' with Proposal = 1,640 mills/L.), and export the JSON or CSV evidence ledger.

Role & Domain Intent: Rule-based pricing automation (Deterministic specialist checks; not a chatbot or autonomous LLM agents.)

1. GOVERNING FORMULATION

Equations, Variables & Dimensional Rules

Deterministic fuel-pricing workflow with specialist checks, margin floors, change caps and rounding.

p_market = median(M); p_floor = c_mills + m_min; p_capped = clamp(p_target, p_0 − Δ_max, p_0 + Δ_max); p_final = round_to_tick(max(p_capped, p_floor), τ_mills)

Declared Units: All monetary prices, costs, margins, caps, and rounding ticks in integer mills per litre (1,000 mills = 1.00 currency unit); volume in millilitres (mL).

2. REPRODUCIBLE WORKED EXAMPLE

Step-by-Step Numerical Verification

Case 1 (Current price p_0 = 1,600 mills/L, wholesale cost c = 1,400 mills/L, competitor market = [1,610, 1,640, 1,650] mills/L, min margin = 100 mills/L, max change cap = 100 mills/L, rounding tick = 10 mills/L): Market median is 1,640 mills/L. Margin floor requires ≥ 1,500 mills/L (passed). Change cap allows [1,500, 1,700] mills/L (passed). Tick rounding at 10 mills preserves 1,640 mills/L, so the deterministic gate status is 'Clear' with Proposal = 1,640 mills/L.

Verified benchmark cases from the Lattice Forecourt browser edition
Case ID	Cost (mills)	Current (mills)	Market Median	Floor / Cap Rule	Proposed (mills)	Gate Status
Case 1 (Standard Clear)	1,400	1,600	1,640	Floor 1,500 / Cap ±100	1,640	Clear
Case 2 (Cap Bound)	1,450	1,580	1,720	Floor 1,550 / Cap ±80	1,660	Capped
Case 3 (Floor Conflict)	1,560	1,600	1,620	Floor 1,680 / Cap ±50	Blocked	Floor vs Cap Conflict

3. DATA PROVENANCE & OPERATIONAL BOUNDARIES

Validation Status, Scope Exclusions & Disclaimers

Data Status: Synthetic / precomputed browser demonstration fixtures generated deterministically from the project engine.
Operational Limitation: No live AI/model agents or actual commercial price changes.
Client-Side Execution: All interactive views, filters, and JSON/CSV exports execute locally in the user's browser with zero external API calls, zero telemetry, and no server-side persistence.
Author & Principal Investigator: Mohammad Rezwan Khan, PhD (Aalborg University · BESS QA/QC & Power Systems Specialist).