We consider several single machine scheduling problems in which the processing time of a job is a simple linear increasing function of its starting time and each job has a delivery time. The objectives are to minimize the functions about delivery completion times. For the former three problems, we propose polynomial-time algorithms to solve them. For the last problem, we prove that it is NP-hard when all jobs have release dates.
| Published in | Applied and Computational Mathematics (Volume 3, Issue 3) |
| DOI | 10.11648/j.acm.20140303.13 |
| Page(s) | 85-89 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2014. Published by Science Publishing Group |
Scheduling, Single Machine, Delivery Time, Deteriorating jobs
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APA Style
Juan Zou. (2014). Single Machine Scheduling Problems with Delivery Times under Simple Linear Deterioration. Applied and Computational Mathematics, 3(3), 85-89. https://doi.org/10.11648/j.acm.20140303.13
ACS Style
Juan Zou. Single Machine Scheduling Problems with Delivery Times under Simple Linear Deterioration. Appl. Comput. Math. 2014, 3(3), 85-89. doi: 10.11648/j.acm.20140303.13
AMA Style
Juan Zou. Single Machine Scheduling Problems with Delivery Times under Simple Linear Deterioration. Appl Comput Math. 2014;3(3):85-89. doi: 10.11648/j.acm.20140303.13
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Download@article{10.11648/j.acm.20140303.13,
author = {Juan Zou},
title = {Single Machine Scheduling Problems with Delivery Times under Simple Linear Deterioration},
journal = {Applied and Computational Mathematics},
volume = {3},
number = {3},
pages = {85-89},
doi = {10.11648/j.acm.20140303.13},
url = {https://doi.org/10.11648/j.acm.20140303.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140303.13},
abstract = {We consider several single machine scheduling problems in which the processing time of a job is a simple linear increasing function of its starting time and each job has a delivery time. The objectives are to minimize the functions about delivery completion times. For the former three problems, we propose polynomial-time algorithms to solve them. For the last problem, we prove that it is NP-hard when all jobs have release dates.},
year = {2014}
}
TY - JOUR T1 - Single Machine Scheduling Problems with Delivery Times under Simple Linear Deterioration AU - Juan Zou Y1 - 2014/06/10 PY - 2014 N1 - https://doi.org/10.11648/j.acm.20140303.13 DO - 10.11648/j.acm.20140303.13 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 85 EP - 89 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20140303.13 AB - We consider several single machine scheduling problems in which the processing time of a job is a simple linear increasing function of its starting time and each job has a delivery time. The objectives are to minimize the functions about delivery completion times. For the former three problems, we propose polynomial-time algorithms to solve them. For the last problem, we prove that it is NP-hard when all jobs have release dates. VL - 3 IS - 3 ER -
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