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Original Articles

An extended continuous estimation of distribution algorithm for solving the permutation flow-shop scheduling problem

, &
Pages 1868-1889 | Received 04 Jul 2016, Accepted 11 Dec 2016, Published online: 26 Jan 2017

References

  • Ahmadizar, Fardin. 2012. “A New Ant Colony Algorithm for Makespan Minimization in Permutation Flow Shops.” Computers & Industrial Engineering 63 (2): 355–361. doi: 10.1016/j.cie.2012.03.015
  • Beasley, J. E. 1996. “Obtaining Test Problems via Internet.” Journal of Global Optimization 8 (8): 429–433. doi: 10.1007/BF02404002
  • Bosman, Peter A. N., and Dirk Thierens. 2001. “Crossing the Road to Efficient IDEAs for Permutation Problems.” Paper presented at the Genetic and Evolutionary Computation Conference, San Francisco, CA, July 7–11.
  • Ceberio, Josu, Ekhine Irurozki, Alexander Mendiburu, and Jose Lozano. 2014. “A Distance-Based Ranking Model Estimation of Distribution Algorithm for the Flowshop Scheduling Problem.” IEEE Transactions on Evolutionary Computation 18 (2): 286–300. doi: 10.1109/TEVC.2013.2260548
  • Chang, Pei-Chann, and Meng-Hui Chen. 2014. “A Block Based Estimation of Distribution Algorithm Using Bivariate Model for Scheduling Problems.” Soft Computing 18 (6): 1177–1188. doi: 10.1007/s00500-013-1136-1
  • Chen, Yuh-Min, Min-Chih Chen, Pei-Chann Chang, and Shih-Hsin Chen. 2012. “Extended Artificial Chromosomes Genetic Algorithm for Permutation Flowshop Scheduling Problems.” Computers & Industrial Engineering 62 (2): 536–545. doi: 10.1016/j.cie.2011.11.002
  • Chen, Chun-Lung, Yeu-Ruey Tzeng, and Chuen-Lung Chen. 2015. “A New Heuristic Based on Local Best Solution for Permutation Flow Shop Scheduling.” Applied Soft Computing 29: 75–81. doi: 10.1016/j.asoc.2014.12.011
  • Dong, Xingye, Maciek Nowak, Ping Chen, and Youfang Lin. 2015. “Self-Adaptive Perturbation and Multi-neighborhood Search for Iterated Local Search on the Permutation Flow Shop Problem.” Computers & Industrial Engineering 87: 176–185. doi: 10.1016/j.cie.2015.04.030
  • Elhadj, Zeraoulia, and J. C. Sprott. 2008. “A Two-Dimensional Discrete Mapping with C∞ Multifold Chaotic Attractors.” Electronic Journal of Theoretical Physics 5 (17): 111–124.
  • Hamaizia, Tayeb, René Lozi, and Nasr-eddine Hamri. 2012. “Fast Chaotic Optimization Algorithm Based on Locally Averaged Strategy and Multifold Chaotic Attractor.” Applied Mathematics and Computation 219 (1): 188–196. doi: 10.1016/j.amc.2012.05.062
  • Han, Yu Yan, Dunwei Gong, and Xiaoyan Sun. 2014. “A Discrete Artificial Bee Colony Algorithm Incorporating Differential Evolution for the Flow-Shop Scheduling Problem with Blocking.” Engineering Optimization 47 (7): 1–20.
  • Heinz, M., and S.-V. Dirk. 1993. “Predictive Models for the Breeder Genetic Algorithm I. Continuous Parameter Optimization.” Evolutionary Computation 1 (1): 25–49. doi: 10.1162/evco.1993.1.1.25
  • Jarboui, Bassem, Mansour Eddaly, and Patrick Siarry. 2009. “An Estimation of Distribution Algorithm for Minimizing the Total Flowtime in Permutation Flowshop Scheduling Problems.” Computers & Operations Research 36 (9): 2638–2646. doi: 10.1016/j.cor.2008.11.004
  • Johnson, Selmer Martin. 1954. “Optimal Two- and Three-Stage Production Schedules with Setup Times Included.” Naval Research Logistics Quarterly 1 (1): 61–68. doi: 10.1002/nav.3800010110
  • Li, Xiangtao, and Minghao Yin. 2013. “An Opposition-Based Differential Evolution Algorithm for Permutation Flow Shop Scheduling Based on Diversity Measure.” Advances in Engineering Software 55 (1): 10–31. doi: 10.1016/j.advengsoft.2012.09.003
  • Lin, Qun, Liang Gao, Xinyu Li, and Chunjiang Zhang. 2015. “A Hybrid Backtracking Search Algorithm for Permutation Flow-Shop Scheduling Problem.” Computers & Industrial Engineering 85: 437–446. doi: 10.1016/j.cie.2015.04.009
  • Liu, Xueying, and Meiling Fu. 2015. “Cuckoo Search Algorithm Based on Frog Leaping Local Search and Chaos Theory.” Applied Mathematics and Computation 266 (C): 1083–1092. doi: 10.1016/j.amc.2015.06.041
  • Liu, Weibo, Yan Jin, and Mark Price. 2016. “A New Nawaz–Enscore–Ham-Based Heuristic for Permutation Flow-Shop Problems with Bicriteria of Makespan and Machine Idle Time.” Engineering Optimization 48 (10): 1808–1822. doi: 10.1080/0305215X.2016.1141202
  • Liu, Ying, Minghao Yin, and Wenxiang Gu. 2014. “An Effective Differential Evolution Algorithm for Permutation Flow Shop Scheduling Problem.” Applied Mathematics and Computation 248 (248): 143–159. doi: 10.1016/j.amc.2014.09.010
  • Lozano, J. A., and A. Mendiburu. 2002. Estimation of Distribution Algorithms Applied to the Job Shop Scheduling Problem: Some Preliminary Research. Springer US.
  • Montgomery, Douglas C. 2008. Design and Analysis of Experiments. Hoboken, NJ: John Wiley & Sons.
  • Mühlenbein, Heinz, and Gerhard Paass. 1996. “From Recombination of Genes to the Estimation of Distributions I. Binary Parameters.” In Parallel Problem Solving from Nature—PPSN IV, 178–87. Springer.
  • Murata, Tadahiko, Hisao Ishibuchi, and Hideo Tanaka. 1996. “Genetic Algorithms for Flowshop Scheduling Problems.” Computers & Industrial Engineering 30 (4): 1061–1071. doi: 10.1016/0360-8352(96)00053-8
  • Pan, Quan-Ke, and Rubén Ruiz. 2012a. “An Estimation of Distribution Algorithm for Lot-Streaming Flow Shop Problems with Setup Times.” Omega 40 (2): 166–180. doi: 10.1016/j.omega.2011.05.002
  • Pan, Quan-Ke, and Ruben Ruiz. 2012b. “Local Search Methods for the Flowshop Scheduling Problem with Flowtime Minimization.” European Journal of Operational Research 222 (1): 31–43. doi: 10.1016/j.ejor.2012.04.034
  • Pan, Quan-Ke, Ling Wang, and Liang Gao. 2011. “A Chaotic Harmony Search Algorithm for the Flow Shop Scheduling Problem with Limited Buffers.” Applied Soft Computing 11 (8): 5270–5280. doi: 10.1016/j.asoc.2011.05.033
  • Pérez-Rodríguez, Ricardo, Arturo Hernández-Aguirre, and S. Jöns. 2015. “A Continuous Estimation of Distribution Algorithm for the Online Order-Batching Problem.” The International Journal of Advanced Manufacturing Technology 79 (1–4): 569–588. doi: 10.1007/s00170-015-6835-6
  • Pinedo, Michael L. 2008. Scheduling: Theory, Algorithms, and Systems. 3rd ed. New York, NY: Springer.
  • Qian, Bin, Ling Wang, Rong Hu, Wan-Liang Wang, De-Xian Huang, and Xiong Wang. 2008. “A Hybrid Differential Evolution Method for Permutation Flow-Shop Scheduling.” The International Journal of Advanced Manufacturing Technology 38 (7–8): 757–777. doi: 10.1007/s00170-007-1115-8
  • Reeves, Colin R., and Takeshi Yamada. 1998. “Genetic algorithms, path relinking, and the flowshop sequencing problem.” Evolutionary Computation 6 (1): 45–60. doi: 10.1162/evco.1998.6.1.45
  • Robles, V., P. De Miguel, and P. Larrañaga. 2002. “Solving the Traveling Salesman Problem with EDAs.” Genetic Algorithms & Evolutionary Computation 2: 211–229. doi: 10.1007/978-1-4615-1539-5_10
  • Samuel, R. K., and P. Venkumar. 2015. “Flow Shop Performance Enhancement by Hybrid Simulated Annealing.” International Journal of Applied Engineering Research 10 (69): 304–310.
  • Sayadi, M., R. Ramezanian, and N. Ghaffari-Nasab. 2010. “A Discrete Firefly Meta-heuristic with Local Search for Makespan Minimization in Permutation Flow Shop Scheduling Problems.” International Journal of Industrial Engineering Computations 1 (1): 1–10. doi: 10.5267/j.ijiec.2010.01.001
  • Selen, J. Willem, and D. David Hott. 1986. “A Mixed-Integer Goal-Programming Formulation of the Standard Flow-Shop Scheduling Problem.” Journal of the Operational Research Society 37 (12): 1121–1128. doi: 10.1057/jors.1986.197
  • Shao, Weishi, and Dechang Pi. 2016. “A Self-Guided Differential Evolution with Neighborhood Search for Permutation Flow Shop Scheduling.” Expert Systems with Applications 51: 161–176. doi: 10.1016/j.eswa.2015.12.001
  • Shen, Jing Nan, Ling Wang, and Sheng Yao Wang. 2015. “A Bi-population EDA for Solving the No-Idle Permutation Flow-Shop Scheduling Problem with the Total Tardiness Criterion.” Knowledge-Based Systems 74: 167–175. doi: 10.1016/j.knosys.2014.11.016
  • Taillard, E. 1993. “Benchmarks for Basic Scheduling Problems.” European Journal of Operational Research 64 (2): 278–285. doi: 10.1016/0377-2217(93)90182-M
  • Tasgetiren, M. Fatih, Yun-Chia Liang, Mehmet Sevkli, and Gunes Gencyilmaz. 2007. “A Particle Swarm Optimization Algorithm for Makespan and Total Flowtime Minimization in the Permutation Flowshop Sequencing Problem.” European Journal of Operational Research 177 (3): 1930–1947. doi: 10.1016/j.ejor.2005.12.024
  • Tseng, Lin-Yu, and Ya-Tai Lin. 2009. “A Hybrid Genetic Local Search Algorithm for the Permutation Flowshop Scheduling Problem.” European Journal of Operational Research 198 (1): 84–92. doi: 10.1016/j.ejor.2008.08.023
  • Vallada, Eva, and Rubén Ruiz. 2010. “Genetic Algorithms with Path Relinking for the Minimum Tardiness Permutation Flowshop Problem.” Omega 38 (1–2): 57–67. doi: 10.1016/j.omega.2009.04.002
  • Vallada, Eva, Rubén Ruiz, and Jose M. Framinan. 2015. “New Hard Benchmark for Flowshop Scheduling Problems Minimising Makespan.” European Journal of Operational Research 240 (3): 666–677. doi: 10.1016/j.ejor.2014.07.033
  • Wang, K., S. H. Choi, and H. Qin. 2014. “An Estimation of Distribution Algorithm for Hybrid Flow Shop Scheduling Under Stochastic Processing Times.” International Journal of Production Research 52 (24): 7360–7376. doi: 10.1080/00207543.2014.930535
  • Wang, Yu, and Bin Li. 2008. A Restart Univariate Estimation of Distribution Algorithm: Sampling Under Mixed Gaussian and Lévy Probability Distribution. Article presented at the Evolutionary Computation, 2008. CEC 2008. (IEEE World Congress on Computational Intelligence). IEEE Congress on, 1–6 June 2008.
  • Wang, Sheng Yao, Ling Wang, Min Liu, and Ye Xu. 2012a. “An Enhanced Estimation of Distribution Algorithm for Solving Hybrid Flow-Shop Scheduling Problem with Identical Parallel Machines.” International Journal of Advanced Manufacturing Technology 68 (9–12): 2043–2056. doi: 10.1007/s00170-013-4819-y
  • Wang, Sheng-yao, Ling Wang, Min Liu, and Ye Xu. 2013a. “An Effective Estimation of Distribution Algorithm for Solving the Distributed Permutation Flow-Shop Scheduling Problem.” International Journal of Production Economics 145 (1): 387–396. doi: 10.1016/j.ijpe.2013.05.004
  • Wang, Shengyao, Ling Wang, Ye Xu, and Min Liu. 2013b. “An Effective Estimation of Distribution Algorithm for the Flexible Job-Shop Scheduling Problem with Fuzzy Processing Time.” International Journal of Production Research 51 (12): 3778–3793. doi: 10.1080/00207543.2013.765077
  • Wang, Ling, Shengyao Wang, Ye Xu, Gang Zhou, and Min Liu. 2012b. “A Bi-population Based Estimation of Distribution Algorithm for the Flexible Job-Shop Scheduling Problem.” Computers & Industrial Engineering 62 (4): 917–926. doi: 10.1016/j.cie.2011.12.014
  • Xie, Zhanpeng, Chaoyong Zhang, Xinyu Shao, Wenwen Lin, and Haiping Zhu. 2014. “An Effective Hybrid Teaching–Learning-Based Optimization Algorithm for Permutation Flow Shop Scheduling Problem.” Advances in Engineering Software 77: 35–47.
  • Xu, Ye, Ling Wang, Shengyao Wang, and Min Liu. 2014. “An Effective Hybrid Immune Algorithm for Solving the Distributed Permutation Flow-Shop Scheduling Problem.” Engineering Optimization 46 (9): 1269–1283. doi: 10.1080/0305215X.2013.827673
  • Zhang, Yi, and Xiaoping Li. 2011. “Estimation of Distribution Algorithm for Permutation Flow Shops with Total Flowtime Minimization.” Computers & Industrial Engineering 60 (4): 706–718. doi: 10.1016/j.cie.2011.01.005
  • Zhao, Fuqing, Yang Liu, Zhongshi Shao, Xin Jiang, Chuck Zhang, and Junbiao Wang. 2016. “A Chaotic Local Search Based Bacterial Foraging Algorithm and its Application to a Permutation Flow-Shop Scheduling Problem.” International Journal of Computer Integrated Manufacturing 29 (9): 962–981. doi: 10.1080/0951192X.2015.1130240
  • Zhao, Fuqing, Zhongshi Shao, Junbiao Wang, and Chuck Zhang. 2016. “A Hybrid Differential Evolution and Estimation of Distribution Algorithm Based on Neighbourhood Search for Job Shop Scheduling Problems.” International Journal of Production Research 54 (4): 1039–1060. doi: 10.1080/00207543.2015.1041575

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