A branch and bound algorithm for optimal cyclic scheduling in a robotic cell with processing time windows

A branch and bound algorithm for optimal cyclic scheduling in a robotic cell with processing time windows
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具有处理时间窗口的机器人单元中最优循环调度的分支定界算法

DOI:
10.1080/00207540903225205
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发表时间:
2010-11
影响因子:
9.2
通讯作者:
Naiding Yang
Naiding Yang
中科院分区:
工程技术2区
文献类型:
--
作者:
Chengbin Chu;Pengyu Yan;Ada Che;Naiding Yang

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描述了一种在带加工时间窗的机器人单元中进行最优循环调度的分枝定界算法。目标是通过确定限定在时间窗口内的每台机器上的准确处理时间来最小化周期时间。该问题被描述为一组周期时间的禁止区间,通常应用于具有固定加工时间的机器人循环调度问题。由于这些禁止间隔的界都是加工时间的线性表达式,我们将这些禁止间隔划分为一系列子集,并将问题转化为枚举每个子集中的周期时间的非禁止间隔。该枚举过程通过一种高效的分枝定界算法来完成,该算法通过枚举部分非禁止区间来寻找最优解。对基准测试实例和随机生成的测试实例的计算结果表明,该算法是有效的。
A branch and bound algorithm is described for optimal cyclic scheduling in a robotic cell with processing time windows. The objective is to minimise the cycle time by determining the exact processing time on each machine which is limited within a time window. The problem is formulated as a set of prohibited intervals of the cycle time, which is usually applied in the robotic cyclic scheduling problem with fixed processing times. Since both bounds of these prohibited intervals are linear expressions of the processing times, we divide these prohibited intervals into a series of the subsets and transform the problem into enumerating the non-prohibited intervals of cycle time in each subset. This enumeration procedure is completed by an efficient branch and bound algorithm, which could find an optimal solution by enumerating partial non-prohibited intervals. Computational results on the benchmark instances and randomly generated test instances indicate that the algorithm is effective.
DOI: 10.1080/05695557608975070
发表时间: 1976-06
期刊: Iie Transactions
影响因子: --
作者:
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