TY - JOUR
N2 - The In the paper, we investigate two single processor problems, which deal with the process of negotiation between a producer and a customer about delivery time of ﬁnal products. This process is modelled by a due interval, which is a generalization of well known classical due date and describes a time interval, in which a job should be ﬁnished. In this paper we consider two diffierent mathematical models of due intervals. In both considered problems we should ﬁnd such a schedule of jobs and such a determination of due intervals to each job, that the generalized cost function is minimized. The cost function is the maximum of the following three weighted parts: the maximum tardiness, the maximum earliness and the maximum due interval size. For the ﬁrst problem we proved several properties of its optimal solution and next we show the mirror image property for both of considered problems, which helps us to provide an optimal solution for the second problem.
L1 - http://sd.czasopisma.pan.pl/Content/111812/PDF/(52-2)115.pdf
L2 - http://sd.czasopisma.pan.pl/Content/111812
PY - 2004
IS - No 2
EP - 118
KW - scheduling
KW - processor
KW - due interval
KW - cost criterion
A1 - Janiak, A.
VL - vol. 52
T1 - Mirror image property for the optimal solutions of two single processor scheduling problems with due intervals determination
DA - 2004
SP - 115
UR - http://sd.czasopisma.pan.pl/dlibra/publication/edition/111812
T2 - Bulletin of the Polish Academy of Sciences: Technical Sciences
ER -