Efficient estimation and representation of an organisation’s behaviour requires specification of business processes and modelling of actors’ behaviour. Therefore the existing classical approaches that concentrate only on planned processes are not suitable and an approach that integrates process specifications with behavioural models of actors should be used instead. The present research indicates that a suitable approach should be based on interactive computing. This paper examines the integration of UML diagrams for process specifications, the Q-model specifications for modelling timing criteria of existing and planned processes and a multi-agent approach for simulating non-deterministic behaviour of human actors in an organisation. The corresponding original methodology is introduced and some of its applications as case studies are reviewed.