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There are no undiscovered priority index sequencing rules for minimizing total delay costs. (English) Zbl 0541.90052
The problem of sequencing jobs on a single machine, starting at time zero, is considered. The cost of scheduling each job is a nondecreasing function of its completion time. The objective is to minimize total cost. When each cost is a linear function or when each cost is a certain exponential function, then jobs are sequenced in nonincreasing order of a priority index, where the priority index of a job is a function of its processing time and its cost function. The main result shows that priority index sequencing is applicable only for these linear and exponential cost functions.
Reviewer: C.N.Potts

MSC:
90B35Scheduling theory, deterministic
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