This book of applied mathematics deals with modeling, analysis, and timing of such event, all subject to synchronization constraints. The constraints are relations that exist between the events, such as message must have been sent before it can arrive and certain train should not depart before another train has arrived. The book deals with max-plus algebra, i.e., an algebra in which the evolution of events can be described in convenient way. Applications related to timetable design for railway networks are considered.