The transactional conflict problem arises in transactional systems whenever
two or more concurrent transactions clash on a data item.
While the standard solution to such conflicts is to immediately abort one of
the transactions, some practical systems consider the alternative of delaying
conflict resolution for a short interval, which may allow one of the
transactions to commit. The challenge in the transactional conflict problem is
to choose the optimal length of this delay interval so as to minimize the
overall running time penalty for the conflicting transactions. In this paper,
we propose a family of optimal online algorithms for the transactional conflict
problem.
Specifically, we consider variants of this problem which arise in different
implementations of transactional systems, namely "requestor wins" and
"requestor aborts" implementations: in the former, the recipient of a coherence
request is aborted, whereas in the latter, it is the requestor which has to
abort. Both strategies are implemented by real systems.
We show that the requestor aborts case can be reduced to a classic instance
of the ski rental problem, while the requestor wins case leads to a new version
of this classical problem, for which we derive optimal deterministic and
randomized algorithms.
Moreover, we prove that, under a simplified adversarial model, our algorithms
are constant-competitive with the offline optimum in terms of throughput.
We validate our algorithmic results empirically through a hardware simulation
of hardware transactional memory (HTM), showing that our algorithms can lead to
non-trivial performance improvements for classic concurrent data structures