Periodic Load Balancing on the N -Cycle: Analytical and Experimental Evaluation

Abstract. We investigate the following very simple load-balancing algorithm on the N-cycle (N even) which we call Odd-Even Transposition Balancing (OETB). The edges of the cycle are partitioned into two matchings canonically. A matching defines a single step, the two matchings form a single round. Processors connected by an edge of the matching perfectly balance their loads, and, if there is an excess token, it is sent to the lower-numbered processor. The difference between the real process where the tokens are assumed integral and the idealized process where the tokens are assumed divisible can be expressed in terms of the local divergence [1]. We show that Odd-Even Transposition Balancing

• Type: Conference
• Year: 2007
• Where: EUROPAR
• Authors: Christian Rieß, Rolf Wanka
• Keywords: EUROPAR 2007, Odd-Even Transposition Balancing, Simple Load-balancing Algorithm, Single Round