A small section rolling mill converts steel billets into long products – rebar, angles, channels, flats, rounds – through a hot‑rolling line with a reheat furnace, roughing/intermediate/finishing stands and a cooling bed. The model captures the multi‑product reality: separate rolling campaigns for each profile, product‑specific rolling speeds and the downtime required for roll changes and guide adjustments between campaigns. It treats billet as the dominant cost driver, along with the yield losses that eat into every tonne charged.
Costs are modelled in detail: natural gas consumption in the reheating furnace as a function of throughput and product entry temperature, electricity drawn by main and auxiliary drives varying with section size and rolling pace, roll wear and regrinding cycles, labour across shift patterns, and consumables. Yield factors are split into scale loss (typically 1–2 % of charged weight) and crop‑end loss (2–4 %), both dependent on the product rolled; a built‑in by‑product revenue stream captures resale of mill scale. Billet pricing can be tied to benchmark scrap indices plus alloy surcharges, reflecting real‑world contract structures.
On the operational side, the model explicitly respects the cooling‑bed length as a throughput bottleneck – it automatically reduces the effective production rate when rolling light sections that need longer cooling time, preventing the unrealistic capacity assumptions common in simpler spreadsheets. Quality‑driven process steps such as Quenching and Self‑Tempering (QST) for rebar can be switched on, adjusting energy use and consumable costs. Maintenance downtimes, shift calendars and intermediate billet/finished‑goods inventory with holding costs round out a model that mirrors the pace and constraints of a real mill.