Результаты исследований: Глава в книге, отчете, сборнике статей › Материалы конференции › Рецензирование
Результаты исследований: Глава в книге, отчете, сборнике статей › Материалы конференции › Рецензирование
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TY - GEN
T1 - Additive Routing Problem for a System of High-Priority Tasks
T2 - book chapter
AU - Chentsov, Alexandr
AU - Chentsov, Pavel
PY - 2023/9/21
Y1 - 2023/9/21
N2 - It is considered the routing problem for which some fixed tasks must be serviced above all. Other tasks can be serviced only after realization of above-mentioned original tasks. It is supposed that each our task is the megalopolis (nonempty finite set) visiting with fulfilment of some works. In our setting, two partial interconnected routing problems arise. We suppose that, in each partial routing problem, the corresponding precedence conditions are given. Using widely understood dynamic programming (DP), we obtain the optimal composition solution for initial total problem. As an application, we note the known engineering problem connected with sheet cutting by zones on CNC machines. By DP procedure the optimal algorithm realized on PC was constructed.
AB - It is considered the routing problem for which some fixed tasks must be serviced above all. Other tasks can be serviced only after realization of above-mentioned original tasks. It is supposed that each our task is the megalopolis (nonempty finite set) visiting with fulfilment of some works. In our setting, two partial interconnected routing problems arise. We suppose that, in each partial routing problem, the corresponding precedence conditions are given. Using widely understood dynamic programming (DP), we obtain the optimal composition solution for initial total problem. As an application, we note the known engineering problem connected with sheet cutting by zones on CNC machines. By DP procedure the optimal algorithm realized on PC was constructed.
UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85174611393
U2 - 10.1007/978-3-031-43257-6_17
DO - 10.1007/978-3-031-43257-6_17
M3 - Conference contribution
SN - 978-3-031-43256-9
T3 - Communications in Computer and Information Science
SP - 218
EP - 230
BT - Mathematical Optimization Theory and Operations Research: Recent Trends
A2 - Khachay, Michael
A2 - Kochetov, Yury
PB - Springer Cham
ER -
ID: 46904531