A functional equation that arises in problems of scheduling with priorities and lateness/earliness penalties

Authors:
F. S. Roberts
Affiliations:
Department of Mathematics and Center for Operations Research Rutgers University, New Brunswick, NJ 08903, U.S.A.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1995

Citing 3
Cited 1

One-processor scheduling with symmetric earliness and tardiness penalties

Mathematics of Operations Research
Sequencing with earliness and tardiness penalties: a review

Operations Research
Earliness-tardiness scheduling problems: I. Weighted derivation of completion times about a common due date

Operations Research

Effects of change of scale on optimality in a scheduling model with priorities and earliness/tardiness penalties

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.98

Visualization

Abstract

We consider a functional equation that arises in problems of scheduling with priorities and earliness/lateness penalties. We solve the equation and note how it can be used to analyze the invariance of conclusions about optimality of a schedule if the scale used to measure priority is replaced by another acceptable scale.