V-shaped policies for scheduling deteriorating jobs
Operations Research
Scheduling jobs under simple linear deterioration
Computers and Operations Research
Scheduling jobs with varying processing times
Information Processing Letters
Parallel machine scheduling with time dependent processing times
Discrete Applied Mathematics
Pareto and scalar bicriterion optimization in scheduling deteriorating jobs
Computers and Operations Research
Scheduling algorithms for procrastinators
Journal of Scheduling
Conjugate problems in time-dependent scheduling
Journal of Scheduling
Pareto and scalar bicriterion optimization in scheduling deteriorating jobs
Computers and Operations Research
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The main aim of the paper is to construct a greedy algorithm for an approximate polynomial-time solution of a single machine time-dependent scheduling problem. In the problem the processing time pj of each job is described by a function of the starting time t of the job, pj = 1+驴j t, where 驴j 0 for j = 0, 1, 2, ..., n. Jobs are non-preemptable and independent, there are neither ready times nor deadlines, and the criterion of optimality is the total completion time.There are two contributions of the paper. Firstly, some theoretical background for proposed algorithm is presented. In this setting useful notions of signatures for a given sequence of coefficients of the problem are introduced and their properties are considered. Secondly, these general results are applied to the case of the problem when its coefficients are consecutive natural numbers.