Time-optimal control in a single machine problem with resource constraints
Automatica (Journal of IFAC)
Scheduling Computer and Manufacturing Processes
Scheduling Computer and Manufacturing Processes
Single-machine scheduling with deteriorating jobs under a series-parallel graph constraint
Computers and Operations Research
Time-Dependent Scheduling
Pareto and scalar bicriterion optimization in scheduling deteriorating jobs
Computers and Operations Research
Scheduling jobs under decreasing linear deterioration
Information Processing Letters
Single-machine scheduling with learning effect and resource-dependent processing times
Computers and Industrial Engineering
Single-machine group scheduling with both learning effects and deteriorating jobs
Computers and Industrial Engineering
Computers and Industrial Engineering
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In the paper resource constrained two single-machine scheduling problems with deteriorating jobs are considered. We model job deterioration as a function that is proportional to a linear function of time. It is assumed that the release time of a job is a positive strictly decreasing continuous function of the amount of consumed resource. We present polynomial solutions for the total resource consumption minimization problem under the constraint that the makespan does not exceed a given limit, and the makespan minimization problem under the constraint that the total resource consumption does not exceed a given limit, respectively.