2015
DOI: 10.1080/00207543.2015.1094584
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A hybrid discrete biogeography-based optimization for the permutation flow shop scheduling problem

Abstract: The permutation flow shop scheduling problem (PFSP) which is known to be NP-hard has been widely investigated in recent years. In this paper, an effective hybrid discrete biogeography-based optimization (HDBBO) algorithm is proposed for solving the PFSP with the objective to minimise the makespan. Opposition-based learning method and the NEH heuristic are utilised in the HDBBO to generate an initial population with certain quality and diversity. Moreover, a novel variable local search strategy is presented and… Show more

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Cited by 30 publications
(6 citation statements)
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“…Equation (4) defines the completion time of a job in the system. Equation (5) gives the completion time of a job on a machine. Equation (6) ensures that a job can be processed by the first machine only after the job arrives at the system.…”
Section: Mathematical Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…Equation (4) defines the completion time of a job in the system. Equation (5) gives the completion time of a job on a machine. Equation (6) ensures that a job can be processed by the first machine only after the job arrives at the system.…”
Section: Mathematical Modelmentioning
confidence: 99%
“…To solve the NP-hard problem, many hybrid meta-heuristics have been proposed [ 2 , 3 ]. For the PFSP, its objective is to find a good job sequence to minimize makespan [ 4 , 5 , 6 ], flow time [ 7 , 8 , 9 , 10 ], tardiness [ 11 , 12 , 13 , 14 ], multiple objective [ 15 , 16 , 17 , 18 , 19 , 20 ], etc.…”
Section: Introductionmentioning
confidence: 99%
“…Exact optimization algorithms (e.g., [2] , [3] , [4] , [5] ) often have very large computational times that are infeasible on even moderate-size problem instances. As for moderate- and large-size instances optimal solutions are rarely needed in practice, heuristic approximation algorithms, including constructive heuristics (e.g., [6] , [7] , [8] ) and metaheuristic evolutionary algorithms (e.g., [9] , [10] , [11] , [12] , [13] , [14] , [15] ), are more feasible to achieve a trade-off between optimality and computational costs. However, the solution fitness of constructive heuristics is often low for even moderate-size instances.…”
Section: Introductionmentioning
confidence: 99%
“…Exact optimization algorithms (e.g., [2,3,4,5]) have very large computation times that are infeasible on even moderate-size problem instances. As for moderate-and large-size instances optimal solutions are rarely needed in practice, heuristic approximation algorithms, in particular evolutionary algorithms (e.g., [6,7,8,9,10,11,12]), are more feasible to achieve a trade-off between optimality and computational costs. However, the number of repeated generations and objective function evaluations for solving large-size instances still takes a relatively long time and, therefore, cannot satisfy the requirement of real-time scheduling.…”
Section: Introductionmentioning
confidence: 99%