2017
DOI: 10.1002/nav.21768
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Optimally scheduling interfering and non‐interfering cranes

Abstract: This article treats the problem of scheduling multiple cranes processing jobs along a line, where cranes are divided into different groups and only cranes in the same group can interfere with each other. Such crane scheduling problems occur, for example, at indented berths or in container yards where double rail‐mounted gantry cranes stack containers such that cranes of the same size can interfere with each other but small cranes can pass underneath larger ones. We propose a novel algorithm based on Benders de… Show more

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Cited by 7 publications
(5 citation statements)
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References 31 publications
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“…Based on the current literature, the QCs restrictions include safety distance between two QCs, movement limitations, and interference among QCs [20]. The QCs are rubber-tired at some MCTs and rail-mounted on others [21]. The rubber-tired QCs (also known as moveable QCs) can move freely and cross each other, while the latter cannot [22].…”
Section: Seaside Operationsmentioning
confidence: 99%
“…Based on the current literature, the QCs restrictions include safety distance between two QCs, movement limitations, and interference among QCs [20]. The QCs are rubber-tired at some MCTs and rail-mounted on others [21]. The rubber-tired QCs (also known as moveable QCs) can move freely and cross each other, while the latter cannot [22].…”
Section: Seaside Operationsmentioning
confidence: 99%
“…Unlike classic Benders decomposition, we do not re-solve the master model from scratch whenever a new cut is added, but instead inject cuts into the branch & cut tree as it evolves as lazy constraints. This approach is often called branch & Benders cut (Rahmaniani et al, 2017, Emde, 2017. Moreover, we do not employ classic Benders cuts but instead use combinatorial logic-based cuts in the spirit of Codato and Fischetti (2006) and Hooker (2011).…”
Section: Logic-based Benders Decompositionmentioning
confidence: 99%
“…The search terminates as soon as there are no more feasible, unexplored nodes left. This approach is sometimes referred to as "branch and Benders cut" (Emde 2017a;Rahmaniani et al 2017).…”
Section: Branch and Benders Cut For Jitaspmentioning
confidence: 99%