Spatial birth-death processes with multiple changes and applications to batch service networks and clustering processes | Zendy

Richard J. Boucherie | Zendy; N.M. van Dijk | Zendy

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Spatial birth-death processes with multiple changes and applications to batch service networks and clustering processes

Author(s) -

Richard J. Boucherie,

N.M. van Dijk

Publication year - 1990

Publication title -

advances in applied probability

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 61

eISSN - 1475-6064

pISSN - 0001-8678

DOI - 10.2307/1427544

Subject(s) - queue , birth–death process , cluster analysis , mathematics , product (mathematics) , statistical physics , jump , interpretation (philosophy) , service (business) , symmetry (geometry) , computer science , statistics , physics , computer network , demography , geometry , population , economy , quantum mechanics , sociology , economics , programming language

Reversible spatial birth-death processes are studied with simultaneous jumps of multi-components. A relationship is established between (i) a product-form solution, (ii) a partial symmetry condition on the jump rates and (iii) a solution of a deterministic concentration equation. Applications studied are reversible networks of queues with batch services and blocking and clustering processes such as those found in polymerization chemistry. As illustrated by examples, known results are hereby unified and extended. An expectation interpretation of the transition rates is included.

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