This paper deals with single-machine scheduling problems with a more general learning effect based on sum-of-processing-time. In this study, sum-of-processing-time-based learning effect means that the processing time ...This paper deals with single-machine scheduling problems with a more general learning effect based on sum-of-processing-time. In this study, sum-of-processing-time-based learning effect means that the processing time of a job is defined by a decreasing function of the total normal processing time of jobs that come before it in the sequence. Results show that even with the introduction of the sum-of-processing-time-based learning effect to job processing times, single-machine makespan minimization problems remain polynomially solvable. The curves of the optimal schedule of a total completion time minimization problem are V-shaped with respect to iob normal orocessinz times.展开更多
The structure stability, elastic property and electronic structure of a-Fe supercell with La atom were inves- tigated by first-principles, in which, generalized gradient approximation （GGA） with the Perdew Burke Ern...The structure stability, elastic property and electronic structure of a-Fe supercell with La atom were inves- tigated by first-principles, in which, generalized gradient approximation （GGA） with the Perdew Burke Ernzerhof （PBE） was used as exchange-correlation functional, a-Fe supercells with La atom include a-Fe supercell with La atom in octahedral interstitial solid solute （La-OISS）, that with La atom in tetrahedral interstitial solid solute （La-TISS） and that with La atom in substitutional solid solute （La-SSS）. The results show that the La-SSS a-Fe supercell is more stable than La-OISS one. The resistance to volume change, reversible deformation and stiffness of La-OISS a-Fe supercell are stronger than those of La-SSS one. Moreover, the degrees of anisotropy and ionization in La-SSS a-Fe supercell are both stronger than those in La-OISS one. The bonding strength between La atom and Fe atom in La-SSS a-Fe supercell is larger than that in La-OISS one.展开更多
文摘This paper deals with single-machine scheduling problems with a more general learning effect based on sum-of-processing-time. In this study, sum-of-processing-time-based learning effect means that the processing time of a job is defined by a decreasing function of the total normal processing time of jobs that come before it in the sequence. Results show that even with the introduction of the sum-of-processing-time-based learning effect to job processing times, single-machine makespan minimization problems remain polynomially solvable. The curves of the optimal schedule of a total completion time minimization problem are V-shaped with respect to iob normal orocessinz times.
基金Item Sponsored by National Natural Science Foundation of China(51271163,51471148)
文摘The structure stability, elastic property and electronic structure of a-Fe supercell with La atom were inves- tigated by first-principles, in which, generalized gradient approximation （GGA） with the Perdew Burke Ernzerhof （PBE） was used as exchange-correlation functional, a-Fe supercells with La atom include a-Fe supercell with La atom in octahedral interstitial solid solute （La-OISS）, that with La atom in tetrahedral interstitial solid solute （La-TISS） and that with La atom in substitutional solid solute （La-SSS）. The results show that the La-SSS a-Fe supercell is more stable than La-OISS one. The resistance to volume change, reversible deformation and stiffness of La-OISS a-Fe supercell are stronger than those of La-SSS one. Moreover, the degrees of anisotropy and ionization in La-SSS a-Fe supercell are both stronger than those in La-OISS one. The bonding strength between La atom and Fe atom in La-SSS a-Fe supercell is larger than that in La-OISS one.
