Single facility scheduling with nonlinear processing times
Computers and Industrial Engineering
Scheduling deteriorating jobs on a single processor
Operations Research
Scheduling jobs with step-deterioration; minimizing makespan on a single- and multi-machine
Computers and Industrial Engineering
Three scheduling problems with deteriorating jobs to minimize the total completion time
Information Processing Letters
Minimizing the total weighted completion time of deteriorating jobs
Information Processing Letters
Computers and Operations Research
Single machine group scheduling under decreasing linear deterioration
Journal of Applied Mathematics and Computing
Single-machine scheduling problems with deteriorating jobs and learning effects
Computers and Industrial Engineering
The Browne-Yechiali single-machine sequence is optimal for flow-shops
Computers and Operations Research
Single-machine scheduling with a nonlinear deterioration function
Information Processing Letters
Flow shop scheduling to minimize makespan with decreasing time-dependent job processing times
Computers and Industrial Engineering
Single-machine scheduling with deteriorating jobs and setup times to minimize the maximum tardiness
Computers and Operations Research
Some single-machine and flowshop scheduling problems with a non-linear deterioration function
Computers & Mathematics with Applications
Flowshop scheduling of deteriorating jobs on dominating machines
Computers and Industrial Engineering
Mathematical and Computer Modelling: An International Journal
Minimizing makespan in three-machine flow shops with deteriorating jobs
Computers and Operations Research
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In traditional scheduling problems, the job processing times are assumed to be known and fixed from the first job to be processed to the last job to be completed. However, in many realistic situations, a job will consume more time than it would have consumed if it had begun earlier. This phenomenon is known as deteriorating jobs. In the science literature, the deteriorating job scheduling problems are relatively unexplored in the flowshop settings. In this paper, we study a two-machine flowshop makespan scheduling problem in which job processing times vary as time passes, i.e. they are assumed as increasing functions of their starting times. First, an exact algorithm is established to solve most of the problems of up to 32 jobs in a reasonable amount of time. Then, three heuristic algorithms are provided to derive the near-optimal solutions. A simulation study is conducted to evaluate the performances of the proposed algorithms. In addition, the impact of the deterioration rate is also investigated.