This paper sheds light on minimizing the maximum tardiness with processing and setup times under both learning effect and deterioration. In this paper, all the jobs have processing and setup times under effects of learning and deterioration. By the effects of learning and deterioration, we mean that the processing time of a job is defined by an increasing function of its execution start time and position in the sequence. We provide a branch and bound algorithm to minimize the maximum tardiness under effects of learning and deterioration with setup times. Computational experiments show that the proposed algorithm can solve instances up to 800 jobs in reasonable time.
Accepté le :
DOI : 10.1051/ro/2015026
Mots-clés : Maximum tardiness problem, learning effect, deterioration effects, setup times
@article{RO_2016__50_1_211_0, author = {Duran Toksar{\i}, M.}, title = {A branch and bound algorithm to minimize the single machine maximum tardiness problem under effects of learning and deterioration with setup times}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {211--219}, publisher = {EDP-Sciences}, volume = {50}, number = {1}, year = {2016}, doi = {10.1051/ro/2015026}, mrnumber = {3460672}, zbl = {1333.90054}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro/2015026/} }
TY - JOUR AU - Duran Toksarı, M. TI - A branch and bound algorithm to minimize the single machine maximum tardiness problem under effects of learning and deterioration with setup times JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2016 SP - 211 EP - 219 VL - 50 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2015026/ DO - 10.1051/ro/2015026 LA - en ID - RO_2016__50_1_211_0 ER -
%0 Journal Article %A Duran Toksarı, M. %T A branch and bound algorithm to minimize the single machine maximum tardiness problem under effects of learning and deterioration with setup times %J RAIRO - Operations Research - Recherche Opérationnelle %D 2016 %P 211-219 %V 50 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2015026/ %R 10.1051/ro/2015026 %G en %F RO_2016__50_1_211_0
Duran Toksarı, M. A branch and bound algorithm to minimize the single machine maximum tardiness problem under effects of learning and deterioration with setup times. RAIRO - Operations Research - Recherche Opérationnelle, Tome 50 (2016) no. 1, pp. 211-219. doi : 10.1051/ro/2015026. http://www.numdam.org/articles/10.1051/ro/2015026/
Scheduling with time dependent processing times: Review and extensions. J. Oper. Res. Soc. 50 (1999) 711–720. | DOI | Zbl
and ,Scheduling start time dependent jobs to minimize the weighted total completion time. J. Oper. Res. Soc. 53 (2002) 668–693. | DOI | Zbl
, , and ,Scheduling deteriorating jobs on a single processor. Oper. Res. 38 (1990) 495–498. | DOI | Zbl
and ,Single-machine scheduling with deteriorating jobs and setup times to minimize the maximum tardiness. Comput. Oper. Res. 38 (2011) 1760–1765. | DOI | MR | Zbl
, , and ,Single facility scheduling with nonlinear processing times. Comput. Ind. Eng. 14 (1988) 387–393. | DOI
and ,J. Heizer and B. Render, Operations Management, 6th edition. Prentice-Hall (2001).
Minimization of maximum lateness under linear deterioration. Omega: Int. J. Manag. Sci. 31 (2003) 459–469. | DOI
and ,Parallel identical machines scheduling with deteriorating jobs and total absolute differences penalties. Appl. Math. Model. 35 (2011) 1349–1353. | DOI | MR | Zbl
and ,Single machine scheduling with time-dependent deterioration and exponential learning effect. Comput. Ind. Eng. 58 (2010) 58–63. | DOI
, , , and ,Single machine group scheduling with a time-dependent learning effect. Comput. Oper. Res. 33 (2006) 2099–2112. | DOI | Zbl
and ,A note on single-machine group scheduling problems with position-based learning effect. Appl. Math. Model. 33 (2009) 2159–2163. | DOI | MR | Zbl
and ,Some single-machine and m-machine flowshop scheduling problems with learning consideration. Inf. Sci. 179 (2009) 3885–3892. | DOI | MR | Zbl
and ,A single-machine learning effect scheduling problem with release times. Omega: Int. J. Manag. Sci. 38 (2010) 3–11. | DOI
, and ,Scheduling problems with a learning effect. Eur. J. Oper. Res. 132 (2001) 687–693. | DOI | MR | Zbl
,Minimizing the earliness/tardiness costs on parallel machine with learning effects and deteriorating jobs: a mixed nonlinear integer programming approach. Int. J. Adv. Manuf. Technol. 38 (2008) 801–808. | DOI
and ,A branch and bound algorithm for minimizing makespan on a single machine with unequal release times under learning effect and deteriorating jobs. Comput. Oper. Res. 38 (2011) 1361–1365. | DOI | MR | Zbl
,Parallel machine earliness/tardiness scheduling problem under the effects of position based learning and linear/nonlinear deterioration. Comput. Oper. Res. 36 (2009) 2394–2417. | DOI | Zbl
and ,Scheduling problems with the nonlinear effects of learning and deterioration. Int. J. Adv. Manuf. Technol. 45 (2009) 801–807. | DOI
and ,Single machine scheduling problems under the effects of nonlinear deterioration and time-dependent learning. Math. Comput. Model. 50 (2009) 401–406. | DOI | MR | Zbl
, and ,Some Scheduling Problems with Past Sequence Dependent Setup Times Under the Effects of Nonlinear Deterioration and Time-Dependent Learning. RAIRO: RO 44 (2010) 107–118. | DOI | Numdam | MR | Zbl
, and ,The common due date Early/tardy scheduling problem on a parallel machine under the effects of time dependent learning and linear/ nonlinear deterioration. Expert Systems with Applications 37 (2010) 92–112. | DOI
and ,Parallel machine scheduling problem to minimize the earliness/tardiness costs with learning effect and deteriorating jobs. J. Intelligent Manuf. 21 (2010) 843–851. | DOI
and ,Single-machine scheduling with deteriorating jobs under a series-parallel graph constraint. Comput. Oper. Res. 35 (2008) 2684–2693. | DOI | MR | Zbl
, and ,Single machine group scheduling problems with deteriorating jobs. Int. J. Adv. Manuf. Technol. 39 (2008) 808–812. | DOI
, and ,Single machine scheduling with a time-dependent learning effect and deteriorating jobs. J. Oper. Res. Soc. 60 (2009) 583–586. | DOI | Zbl
,Single machine group scheduling with general linear deterioration to minimize the makespan. Int. J. Adv. Manuf. Technol. 43 (2009) 146–150. | DOI
, , and ,Learning effect and deteriorating jobs in the single machine scheduling problems. Appl. Math. Model. 33 (2009) 3848–3853. | DOI | MR | Zbl
, , , and ,Single-machine group scheduling problems with deteriorating jobs. Int. J. Adv. Manuf. Technol. 39 (2008) 7–8.
, and ,Single-machine group-scheduling problems with deteriorating setup times and job-processing times. Int. J. Prod. Econ. 115 (2008) 128–133. | DOI
and ,Single-machine group scheduling problems with deterioration consideration. Comput. Oper. Res. 35 (2008) 1652–1659. | DOI | Zbl
, and ,Single-machine group scheduling problems with deteriorating setup times and job processing times. Int. J. Prod. Econ. 115 (2008) 128–133. | DOI
and ,Single-machine group scheduling problems with deterioration consideration. Comput. Oper. Res. 35 (2008) 1652–1659. | DOI | Zbl
, and ,Single machine scheduling problems with deteriorated and learning effect. Appl. Math. Comput. 216 (2010) 1259–1266. | DOI | MR | Zbl
and ,Single-machine scheduling problems with both start-time dependent learning and position dependent aging effects under deteriorating maintenance consideration. Appl. Math. Comput. 217 (2011) 3321–3329. | DOI | MR | Zbl
,Minimizing total weighted completion time in a two-machine flow shop scheduling under simple linear deterioration. Appl. Math. Comput. 217 (2011) 4819–4826. | DOI | MR | Zbl
and ,Learning and forgetting effects on a group scheduling problem. Eur. J. Oper. Res. 187 (2008) 1033–1044. | DOI | MR | Zbl
and ,Single machine scheduling time-dependent jobs with resource-dependent ready times. Comput. Ind. Eng. 58 (2010) 84–87. | DOI
, , and ,Cité par Sources :