This paper presents a mathematical model, based on the just-in-time (JIT) idea, for solving machine conflicts in steelmaking-continuous casting (SCC) production scheduling in the computer integrated manufacturing system (CIMS) environment. The model is developed as a non-linear model based on actual production situations, considering both punctual delivery and production operation continuity. It is then converted into a linear programming model which can be solved using standard software packages. An example demonstrating the application of the proposed method is given. The paper also describes the implementation of an SCC production scheduling system in which the proposed model is used as an effective method to optimize production continuity and product delivery while eliminating machine conflicts. (C) 2000 Elsevier Science B.V. All rights reserved.