A study of permutation crossover operators on the traveling salesman problem
Proceedings of the Second International Conference on Genetic Algorithms on Genetic algorithms and their application
Single facility scheduling with nonlinear processing times
Computers and Industrial Engineering
Scheduling jobs under simple linear deterioration
Computers and Operations Research
Scheduling jobs with step-deterioration; minimizing makespan on a single- and multi-machine
Computers and Industrial Engineering
Minimizing the total completion time in single-machine scheduling with step-deteriorating jobs
Computers and Operations Research
Fitness Landscapes, Memetic Algorithms, and Greedy Operators for Graph Bipartitioning
Evolutionary Computation
Determination of number of kanbans in a supply chain system via Memetic algorithm
Advances in Engineering Software
IEEE Transactions on Evolutionary Computation
Meta-Lamarckian learning in memetic algorithms
IEEE Transactions on Evolutionary Computation
A note on single-processor scheduling with time-dependent execution times
Operations Research Letters
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In this paper, we consider minimizing total weighted completion time criteria on a single machine. Jobs processing times are step function of its starting time and all jobs have a common due date. First, we present some new lemmas and dominance properties for this NP-hard problem, and then a memetic algorithm using these properties is developed. We compare the solutions of the memetic algorithm with optimal solutions obtained from complete enumeration. The results show that the average percentage error of the proposed algorithm from optimal solutions is about 2% and as the variance of processing time increase, the percentage errors decrease.