Note—Optimal Work-Rest Scheduling with Exponential Work-Rate Decay

Abstract

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.