TY - JOUR
T1 - Λ-shaped policies to schedule deteriorating jobs
AU - Mosheiov, Gur
PY - 1996/9
Y1 - 1996/9
N2 - We study a problem of scheduling deteriorating jobs, i.e. jobs whose processing times are an increasing function of their starting times. We consider the case of a single machine and linear job-independent deterioration. The objective is to minimize the sum of weighted completion times, with weights proportional to the basic processing times. The optimal schedule is shown to be A-shaped, i.e. the sequence of the basic processing times has a single local maximum. Moreover, we show that the problem is solved in 0(N log N) time. In the last section we test heuristics for the case of general weights.
AB - We study a problem of scheduling deteriorating jobs, i.e. jobs whose processing times are an increasing function of their starting times. We consider the case of a single machine and linear job-independent deterioration. The objective is to minimize the sum of weighted completion times, with weights proportional to the basic processing times. The optimal schedule is shown to be A-shaped, i.e. the sequence of the basic processing times has a single local maximum. Moreover, we show that the problem is solved in 0(N log N) time. In the last section we test heuristics for the case of general weights.
KW - Deteriorating jobs
KW - Deterministic scheduling
KW - Sequencing
UR - http://www.scopus.com/inward/record.url?scp=0030305471&partnerID=8YFLogxK
U2 - 10.1057/jors.1996.146
DO - 10.1057/jors.1996.146
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AN - SCOPUS:0030305471
SN - 0160-5682
VL - 47
SP - 1184
EP - 1194
JO - Journal of the Operational Research Society
JF - Journal of the Operational Research Society
IS - 9
ER -