title: Analysis of an anomaly: the increase in time float following consumption.
abstract: One fundamental axiom for project plan and schedule relates to the notion that time float will be reduced following its consumption. However, an anomalous scenario can emerge in which an activity's time float increases following its consumption. By exploring the associations between time float and paths in activity networks, we (a) reveal the conditions under which the anomaly occurs and (b) summarize laws related to total float. An activity's total float increases in parallel with its duration prolongation within a given boundary but remains constant or decreases in parallel with a prolongation outside the boundary. Furthermore, whereas a prolongation of an activity's duration in excess of classic total float does not delay project completion time, a lag of its start time to a degree slightly greater than the total float does. This analysis reveals different types of total float that correspond to different ways of usage. From this, we offer definitions for translation total float and prolongation total float that deviate from traditional conventions regarding the uniqueness of total float.
authors.affiliation: School of Economics and Management, North China Electric Power University, Beijing 102206, China.
authors.forename: Jianxun
authors.initials: J
authors.lastname: Qi
authors.affiliation: School of Economics and Management, North China Electric Power University, Beijing 102206, China ; Business Administration College, Nanchang Institute of Technology, Nanchang 330099, China.
authors.forename: Zhixiong
authors.initials: Z
authors.lastname: Su
mesh_terms: D008962:Models, Theoretical; D013223:Statistics as Topic / Q000379:methods / Q000639:trends*; D013997:Time Factors; D016526:Workload / Q000706:statistics & numerical data