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Dijkstra–Scholten algorithm : ウィキペディア英語版
Dijkstra–Scholten algorithm
The Dijkstra–Scholten algorithm (named after Edsger W. Dijkstra and Carel S. Scholten) is an algorithm for detecting termination in a distributed system.〔.〕〔.〕 The algorithm was proposed by Dijkstra and Scholten in 1980.〔.〕
First, let us consider the case of a simple process graph which is a tree. A distributed computation which is tree-structured is not uncommon. Such a process graph may arise when the computation is strictly a divide-and-conquer type. A node starts the computation and divides the problem in two (or more, usually a multiple of 2) roughly equal parts and distribute those parts to other processors. This process continues recursively until the problems are of sufficiently small size to solve in a single processor.
==Algorithm==
The Dijkstra–Scholten algorithm is a tree-based algorithm which can be described by the following:
* The initiator of a computation is the root of the tree.
* Upon receiving a computational message:
*
* If the receiving process is currently not in the computation: the process joins the tree by becoming a child of the sender of the message. (No acknowledgment message is sent at this point.)
*
* If the receiving process is already in the computation: the process immediately sends an acknowledgment message to the sender of the message.
* When a process has no more children and has become idle, the process detaches itself from the tree by sending an acknowledgment message to its tree parent.
* Termination occurs when the initiator has no children and has become idle.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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