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For sequential chaining, we define a sequential precedence relation, ≺ s, such that P i precedes P j (written as P i ≺ s P j ) if P i appears strictly in the upper left quadrant with respect to P j, i.e. and.
This paper studies a two-machine flow shop scheduling problem with a supporting precedence relation.
Auxiliary rules are provided for setup selection, precedence relation, and tool selection.
First, the time transfer function is defined and combined with the precedence relation to compute the earliest and the latest start time of tasks.
Firstly, various feasible sequences are generated from the feature precedence relation based on the precedence and geometric tolerance constraints using an intelligent search strategy.
The correctness properties of a collection of MSCs can then be established by efficient algorithms for finding paths in a directed graph representing the precedence relation on the events of the MSCs.
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BACP model involves precedence relations, but the related courses are not necessarily assigned to closest periods.
It is also shown that, unlike the related problem with out-forest precedence relations, there need not exist an optimal policy that is based on an index-rule for determining priority of edges by evaluating their successors.
In general, assembly line balancing seeks to assign a number of tasks to workstations considering precedence (priority) relations so that a product is ready in a given cycle time and efficiency is maximized (Malakooti 1991,1994; Mc Mullen and Tarasewich2003; Capacho and Pastor2008; Fathi et al.2011; Roy and Khan2010,2011a,2011b).
Precedence relations are given on the superset of all operations.
The method is suitable for problem variants with generalized precedence relations or uncertain/variable durations.
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