The Scheduling of Large Projects with Limited Resources

摘要

This study was prompted initially by the need for more effective methods of large project scheduling. Because most recent advances in this field have paid little explicit attention to the problem of limited resources, much of the effort was devoted to developing a theoretical system for dealing with project scheduling when resources are scarce. Different types of schedules were classified according to their properties; operations useful for generating and altering schedules extended the concepts of critical path analysis to the limited resource case--including the useful notion of slack. The concept of a critical sequence was developed and several theorems regarding its existence in certain types of schedules were proved.