On the General Problem Statement of Cargo Carriages Scheduling and Ways to Solve It
A new mathematical model of transportation along the transport network represented by an undirected multigraph is formulated. A new criterion for the optimality of cargo carriages schedule is proposed. The criterion in addition to the time characteristics of transportation includes their cost, the n...
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Veröffentlicht in: | Automation and remote control 2023-04, Vol.84 (4), p.443-455 |
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description | A new mathematical model of transportation along the transport network represented by an undirected multigraph is formulated. A new criterion for the optimality of cargo carriages schedule is proposed. The criterion in addition to the time characteristics of transportation includes their cost, the number of undelivered cargoes. The problem to find the optimal schedule is formulated as a problem of mixed integer linear programming. Various variants of the algorithm for searching for an approximate solution to the problem are proposed. Informative examples are considered. |
doi_str_mv | 10.1134/S0005117923040082 |
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N.</creator><creatorcontrib>Ignatov, A. N.</creatorcontrib><description>A new mathematical model of transportation along the transport network represented by an undirected multigraph is formulated. A new criterion for the optimality of cargo carriages schedule is proposed. The criterion in addition to the time characteristics of transportation includes their cost, the number of undelivered cargoes. The problem to find the optimal schedule is formulated as a problem of mixed integer linear programming. Various variants of the algorithm for searching for an approximate solution to the problem are proposed. 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Russian Text © The Author(s), 2023, published in Avtomatika i Telemekhanika, 2023, No. 4, pp. 145–165.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c359t-e7d265b964626a8c95918c4370b6e167aacd326f5a8d0fd0fcd1b14c0bbf1bb43</citedby><cites>FETCH-LOGICAL-c359t-e7d265b964626a8c95918c4370b6e167aacd326f5a8d0fd0fcd1b14c0bbf1bb43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0005117923040082$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0005117923040082$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>315,781,785,27929,27930,41493,42562,51324</link.rule.ids></links><search><creatorcontrib>Ignatov, A. N.</creatorcontrib><title>On the General Problem Statement of Cargo Carriages Scheduling and Ways to Solve It</title><title>Automation and remote control</title><addtitle>Autom Remote Control</addtitle><description>A new mathematical model of transportation along the transport network represented by an undirected multigraph is formulated. A new criterion for the optimality of cargo carriages schedule is proposed. The criterion in addition to the time characteristics of transportation includes their cost, the number of undelivered cargoes. The problem to find the optimal schedule is formulated as a problem of mixed integer linear programming. Various variants of the algorithm for searching for an approximate solution to the problem are proposed. Informative examples are considered.</description><subject>CAE) and Design</subject><subject>Calculus of Variations and Optimal Control; Optimization</subject><subject>Cargo</subject><subject>Carriages</subject><subject>Computer-Aided Engineering (CAD</subject><subject>Control</subject><subject>Criteria</subject><subject>Integer programming</subject><subject>Linear programming</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Mechanical Engineering</subject><subject>Mechatronics</subject><subject>Mixed integer</subject><subject>Operations Research</subject><subject>Optimization</subject><subject>Robotics</subject><subject>Schedules</subject><subject>Scheduling</subject><subject>Search algorithms</subject><subject>System Analysis</subject><subject>Systems Theory</subject><subject>Transportation networks</subject><issn>0005-1179</issn><issn>1608-3032</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp1kFFLwzAUhYMoOKc_wLeAz9V7kzZNH2XoHAwmVPGxJGnabXTNTDJh_96WCT6IcLn34XznXDiE3CLcI_L0oQSADDEvGIcUQLIzMkEBMuHA2TmZjHIy6pfkKoQtACIwPiHlqqdxbenc9tarjr56pzu7o2VU0e5sH6lr6Ez51o3bb1RrAy3N2taHbtO3VPU1_VDHQKOjpeu-LF3Ea3LRqC7Ym587Je_PT2-zl2S5mi9mj8vE8KyIic1rJjJdiFQwoaQpsgKlSXkOWlgUuVKm5kw0mZI1NMOYGjWmBrRuUOuUT8ndKXfv3efBhlht3cH3w8uKyYxzCSDkQOGJMt6F4G1T7f1mp_yxQqjG7qo_3Q0edvKEge1b63-T_zd9A7lUbw4</recordid><startdate>20230401</startdate><enddate>20230401</enddate><creator>Ignatov, A. 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subjects | CAE) and Design Calculus of Variations and Optimal Control Optimization Cargo Carriages Computer-Aided Engineering (CAD Control Criteria Integer programming Linear programming Mathematics Mathematics and Statistics Mechanical Engineering Mechatronics Mixed integer Operations Research Optimization Robotics Schedules Scheduling Search algorithms System Analysis Systems Theory Transportation networks |
title | On the General Problem Statement of Cargo Carriages Scheduling and Ways to Solve It |
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