中文摘要：

在广义优先关系下的工序网络中,发现了奇异现象.例如,某些工序的开始时间可早于最早开始时间,在不影响总工期的条件下,某些工序的工期延长量可超过总时差,而某些工序的结束时间可迟于最迟结束时间等.这些现象无法用现有的时间参数值来解释.通过研究奇异现象,揭示了工序的一些隐性特征,提出了隐性时间、隐性时差和伪时差的新概念,并给出了计算方法.在很多情况下（如调整工序的工期时）,现有的时间参数值与实际不符,而上述隐性时间、隐性时差和伪时差能准确应用于实际.另外,调整工序的工期是项目调度的重要措施,针对工序的工期在不影响总工期条件下的最大可延长量,发现常识性观点（认为其等于现有总时差）是错误的,并根据隐性时间参数值,给出了正确的算法.

英文摘要：

This paper discovers anomalies in activity networks under generalized precedence relations（ GPRs）,which arebeyond the explanations of current time parameters. For example,under the conditions of unchanged project completion time and other activity durations,an activity＇s start time could be earlier than its earliest one,its finish time could be later than its latest one,and a prolongation of its duration could be greater than its total float. By researching the anomalies,new concepts of hidden times,hidden floats and false floats of activities are proposed to reveal hidden properties under GPRs,and algorithms for them are designed. In many cases（ particularly adjusting activity durations）,the hidden times,hidden floats and false floats instead of the current time parameters are perfectly suitable for practices. Furthermore,adjusting activity durations is an important measure for project scheduling,and as a common view,the allowable maximum prolongation of an activity＇s duration is equal to the activity＇s classic total float. However,our study tests that the view is wrong under GPRs,and in this paper,an algorithm for the correct maximum prolongation of an activity＇s duration is designed based on the hidden time parameters.