Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
A Polynomial-Time Algorithm for the Routing Flow Shop Problem with Two Machines : An Asymmetric Network with a Fixed Number of Nodes. / Chernykh, Ilya; Kononov, Alexander; Sevastyanov, Sergey.
Mathematical Optimization Theory and Operations Research - 19th International Conference, MOTOR 2020, Proceedings. ред. / Alexander Kononov; Michael Khachay; Valery A. Kalyagin; Panos Pardalos. Springer Gabler, 2020. стр. 301-312 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Том 12095 LNCS).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - A Polynomial-Time Algorithm for the Routing Flow Shop Problem with Two Machines
T2 - 19th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2020
AU - Chernykh, Ilya
AU - Kononov, Alexander
AU - Sevastyanov, Sergey
PY - 2020/1/1
Y1 - 2020/1/1
N2 - We consider the routing flow shop problem with two machines on an asymmetric network. For this problem we discuss properties of an optimal schedule and present a polynomial time algorithm assuming the number of nodes of the network to be bounded by a constant. To the best of our knowledge, this is the first positive result on the complexity of the routing flow shop problem with an arbitrary structure of the transportation network, even in the case of a symmetric network. This result stands in contrast with the complexity of the two-machine routing open shop problem, which was shown to be NP-hard even on the two-node network.
AB - We consider the routing flow shop problem with two machines on an asymmetric network. For this problem we discuss properties of an optimal schedule and present a polynomial time algorithm assuming the number of nodes of the network to be bounded by a constant. To the best of our knowledge, this is the first positive result on the complexity of the routing flow shop problem with an arbitrary structure of the transportation network, even in the case of a symmetric network. This result stands in contrast with the complexity of the two-machine routing open shop problem, which was shown to be NP-hard even on the two-node network.
KW - Dynamic programming
KW - Flow shop
KW - Polynomially-solvable case
KW - Routing flow shop
KW - Scheduling
UR - http://www.scopus.com/inward/record.url?scp=85087787371&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-49988-4_21
DO - 10.1007/978-3-030-49988-4_21
M3 - Conference contribution
AN - SCOPUS:85087787371
SN - 9783030499877
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 301
EP - 312
BT - Mathematical Optimization Theory and Operations Research - 19th International Conference, MOTOR 2020, Proceedings
A2 - Kononov, Alexander
A2 - Khachay, Michael
A2 - Kalyagin, Valery A.
A2 - Pardalos, Panos
PB - Springer Gabler
Y2 - 6 July 2020 through 10 July 2020
ER -
ID: 24737065