The two-machine flowshop scheduling problem with total tardiness
Computers and Operations Research
Minimizing total tardiness on one machine is NP-hard
Mathematics of Operations Research
A new branch and bound algorithm for minimizing mean tardiness in two-machine flowshops
Computers and Operations Research
Note on minimizing total tardiness in a two-machine flowshop
Computers and Operations Research - Articles presented at the conference on routing and location (CORAL)
Computers and Operations Research
Flow shop scheduling and its extension to fuzzy processing times
FS'08 Proceedings of the 9th WSEAS International Conference on Fuzzy Systems
Scheduling algorithms to minimize the number of tardy jobs in two-stage hybrid flow shops
Computers and Industrial Engineering
Information Sciences: an International Journal
Note on minimizing total tardiness in a two-machine flowshop
Computers and Operations Research - Articles presented at the conference on routing and location (CORAL)
Elite guided steady-state genetic algorithm for minimizing total tardiness in flowshops
Computers and Industrial Engineering
A cooperative dispatching approach for minimizing mean tardiness in a dynamic flowshop
Computers and Operations Research
Computers and Industrial Engineering
An assignment-based lower bound for a class of two-machine flow shop problems
Computers and Operations Research
International Journal of Bio-Inspired Computation
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The two-machine flow-shop scheduling problem with the objective of minimizing total tardiness is considered in this paper. Dominance criteria are developed to establish the precedence constraints between jobs in an optimal schedule. A lower bound on the total tardiness of the problem is derived by constructing the sequence of jobs from front to back to simplify the bounding procedure. A branch-and-bound algorithm incorporating these properties is proposed to expedite the search for an optimal sequence. Computational experiments are conducted and the results demonstrate that the proposed algorithm surpasses an existing one in terms of both computation times and sizes of the problems solved.