Pusat Permintaan dan Cakupan Pelayanan: Penapisan Indikatif Lokasi Fuel Terminal Pertamax di Lamongan dengan Metode Center of Gravity

Fuel terminal siting must reconcile the spatial distribution of demand with service-distance limits, yet applied Center of Gravity (CoG) studies rarely test data consistency or service coverage. This study provides an indicative screening of a Pertamax fuel terminal location serving Lamongan and neighbouring regencies. A route-planning list of 42 filling stations was reconciled with a coordinate table, and 41 stations (97.89% of the demand weight) were matched. The demand-weighted CoG, a weighted geometric median, and a coverage-constrained minisum optimum were computed from Haversine distances and compared with the Brengkok candidate from a preliminary study. Sensitivity was tested for service radii of 20–35 km and for alternative station sets. The CoG (6.975249° S, 112.169048° E) yields a lower weighted mean distance than Brengkok (17.36 versus 19.46 km) but leaves two stations beyond 30 km, as does the geometric median. No single site can cover all stations below 28.17 km, whereas Brengkok covers all of them from 29.06 km. Within 30 km, the constrained optimum (6.968567° S, 112.189021° E) covers all 41 stations at a weighted mean of 17.72 km, 7.21 km from Brengkok, and outperformed Brengkok in every leave-one-out and bootstrap resample. Demand centrality and service coverage are therefore complementary criteria that must be evaluated jointly. Brengkok is feasible but not optimal, and the constrained optimum marks a search zone that still requires confirmation of demand units, road-network distances, and a site feasibility assessment.