Abstract
In this paper, we address the problem of k -out-of-ℓ exclusion, a generalization of the mutual exclusion problem, in which there are ℓ units of a shared resource, and any process can request up to k units (1 ≤ k ≤ ℓ). A protocol is self-stabilizing if, starting from an arbitrary configuration, be it initial state or after a corrupted state, the protocol can start behaving normally within a finite time. We propose the first deterministic self-stabilizing distributed k -out-of-ℓ exclusion protocol in message-passing systems for asynchronous oriented tree networks which assumes bounded local memory for each process.
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