Numerical methods and HPC
Open Access

Table 3

Variables used in the ILP formulation of the acyclic orientation problem.

Variable Type Description
x ik Binary Decision variable for scheduling operation o i on core p k
S(o i) Integer Start time of operation o i
E(o i) Integer End time of operation o i
sync ijk Binary Synchronization between o i and o j if o j scheduled on p k
b ij Binary o i is executed before o j
Q ik Integer Earliest start time of successors o i that are scheduled on p k
V ik Binary o i not scheduled on p k
mkp Integer Makespan

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