The construction sector is a key economic driver in Latin America, but it faces serious problems such as cost overruns, delays and project stoppages. In Peru, for example, 2,298 public works projects were on hold at the end of 2023, representing a committed investment of over S/26 billion. The main causes of these issues are poor planning, contractor non-compliance, low productivity and delays in the supply of materials. To address these issues, this research proposes a model that integrates Lean Construction, Material Requirements Planning (MRP) and Systematic Layout Planning (SLP). The aim is to improve schedule compliance and optimise resource management. In a pilot test, the model reduced downtime, improved material planning and optimised workflow. Consequently, schedule compliance increased by over 15%, productivity by 12%, and penalty costs were reduced by 10%.