TY - JOUR
T1 - Scheduling about an unrestricted common due window with arbitrary earliness/tardiness penalty rates
AU - Azizoglu, Meral
AU - Webster, Scott
PY - 1997
Y1 - 1997
N2 - We consider the NP-hard problem of scheduling jobs on a single machine about an unrestricted due window to minimize total weighted earliness and tardiness cost. Each job has an earliness penalty rate and a tardiness penalty rate that are allowed to be arbitrary. Earliness or tardiness cost is assessed when a job completes outside the due window, which may be an instant in time or a time increment defining acceptable job completion. In this paper we present properties that characterize the structure of an optimal schedule, present a lower bound, propose a two-step branch and bound algorithm, and report results from a computational experiment. We find that optimal solutions can be quickly obtained for medium-sized problem instances.
AB - We consider the NP-hard problem of scheduling jobs on a single machine about an unrestricted due window to minimize total weighted earliness and tardiness cost. Each job has an earliness penalty rate and a tardiness penalty rate that are allowed to be arbitrary. Earliness or tardiness cost is assessed when a job completes outside the due window, which may be an instant in time or a time increment defining acceptable job completion. In this paper we present properties that characterize the structure of an optimal schedule, present a lower bound, propose a two-step branch and bound algorithm, and report results from a computational experiment. We find that optimal solutions can be quickly obtained for medium-sized problem instances.
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U2 - 10.1080/07408179708966418
DO - 10.1080/07408179708966418
M3 - Article
AN - SCOPUS:0031275545
SN - 0740-817X
VL - 29
SP - 1001
EP - 1006
JO - IIE Transactions (Institute of Industrial Engineers)
JF - IIE Transactions (Institute of Industrial Engineers)
IS - 11
ER -