Presents the first parallel algorithms for solving row-continuous or generalized birth-death (GBD) Markov chains on distributed memory MIMD multiprocessors. These systems are characterized by very large transition probability matrices, decomposable in heterogeneous tridiagonal blocks. The parallelization of three aggregation/disaggregation iterative methods is carried out by a unique framework that keeps into account the special matrix structure. Great effort has been also devoted to define a general algorithm for approximating the optimum workload. Various computational experiments show that Vantilborgh's (1985) method is the fastest of the three algorithms on any data set dimension
Load balancing and parallel implementation of iterative algorithms for row-continuous Markov chains / Colajanni, Michele; M., Angelaccio. - STAMPA. - (1992), pp. 157-161. (Intervento presentato al convegno Scalable High Performance Computing Conference, 1992. SHPCC-92 tenutosi a Williamsburg, VA nel 1992).
Load balancing and parallel implementation of iterative algorithms for row-continuous Markov chains
COLAJANNI, Michele;
1992
Abstract
Presents the first parallel algorithms for solving row-continuous or generalized birth-death (GBD) Markov chains on distributed memory MIMD multiprocessors. These systems are characterized by very large transition probability matrices, decomposable in heterogeneous tridiagonal blocks. The parallelization of three aggregation/disaggregation iterative methods is carried out by a unique framework that keeps into account the special matrix structure. Great effort has been also devoted to define a general algorithm for approximating the optimum workload. Various computational experiments show that Vantilborgh's (1985) method is the fastest of the three algorithms on any data set dimensionPubblicazioni consigliate
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