Single facility scheduling with nonlinear processing times
Computers and Industrial Engineering
Scheduling deteriorating jobs on a single processor
Operations Research
Three scheduling problems with deteriorating jobs to minimize the total completion time
Information Processing Letters
Computers and Operations Research
Single-machine group scheduling problems with deterioration consideration
Computers and Operations Research
Single machine group scheduling under decreasing linear deterioration
Journal of Applied Mathematics and Computing
Scheduling deteriorating jobs on a single machine with release times
Computers and Industrial Engineering
Single-machine scheduling with a nonlinear deterioration function
Information Processing Letters
Scheduling problems with general effects of deterioration and learning
Information Sciences: an International Journal
Deteriorating job scheduling to minimize the number of late jobs with setup times
Computers and Industrial Engineering
Mathematical and Computer Modelling: An International Journal
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Deteriorating jobs scheduling has received increasing attention in recent years. However, most researchers focused on regular criteria such as the makespan, and the total (weighted) completion time. However, in many real-life situations, early completion of a job is equally undesirable as its late completion. In such cases, minimizing the quadratic function of job lateness may be an appropriate objective for the decision makers. Therefore, this paper addresses a single-machine problem where the objective is to minimize the sum of squares of job lateness under the simple linear deterioration assumption. A branch-and-bound algorithm and two heuristic algorithms are provided to search for the optimal solution and the near-optimal solutions, respectively. Computational results are presented to evaluate the performance of the proposed algorithms.