On ‘stop=repeat' servicing for non-exponential queueing networks with blocking | Zendy

N.M. van Dijk | Zendy

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On ‘stop=repeat' servicing for non-exponential queueing networks with blocking

Author(s) -

N.M. van Dijk

Publication year - 1991

Publication title -

journal of applied probability

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.668

H-Index - 59

eISSN - 1475-6072

pISSN - 0021-9002

DOI - 10.2307/3214748

Subject(s) - blocking (statistics) , queueing theory , mathematics , exponential function , mean value analysis , layered queueing network , exponential distribution , queueing system , routing (electronic design automation) , computer network , computer science , statistics , mathematical analysis

Non-exponential queueing networks with blocking are studied under two types of blocking protocols: the 'stop' and the 'repeat' protocol under which services are to be either stopped or repeated respectively upon blocking. The two protocols are shown to be stationary equivalent when the system satisfies a partial balance condition. This condition is related to product-form results. The results are illustrated by closed and open network applications with reversible and nonreversible routing.

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