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.
Original languageEnglish
Title of host publicationMathematical Optimization Theory and Operations Research: Recent Trends
Subtitle of host publicationbook
EditorsMichael Khachay, Yury Kochetov
PublisherSpringer Cham
Pages218-230
ISBN (Electronic)978-3-031-43257-6
ISBN (Print)978-3-031-43256-9
DOIs
Publication statusPublished - 21 Sept 2023

Publication series

NameCommunications in Computer and Information Science
Volume1881
ISSN (Print)1865-0929
ISSN (Electronic)1865-0937

    ASJC Scopus subject areas

  • General Mathematics
  • General Computer Science

ID: 46904531