Note—Optimal Work-Rest Scheduling with Exponential Work-Rate Decay
针对工作效率呈指数衰减、休息时恢复呈线性的情况，开发了最优多休息间隔模型，并发现线性模型在高指数衰减下会显著降低产出。
This note develops optimal multiple rest break models for the case when the decay in work rate is an exponential function of time worked and recovery of work rate potential during rest is a linear function of time rested. While empirical evidence indicates that work rate decay functions tend to be best approximated by either exponential or linear functions, previous multiple rest break models were based upon a linear work rate decay function. Efficient solution procedures are developed which require only the solution of a transcendental equation using Newton's or an equivalent method. Although linear-linear and exponential-linear models are demonstrated to share some important general characteristics, a preliminary analysis indicated that use of linear-linear policies resulted in substantial sacrifices in productive output when relatively high rates of exponential decay were present. The observed losses were exacerbated by higher rates of recovery.