Matches in SemOpenAlex for { <https://semopenalex.org/work/W2024013060> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2024013060 endingPage "231" @default.
- W2024013060 startingPage "223" @default.
- W2024013060 abstract "This paper derives exact results for a token ring system with exhaustive or gated service. There are <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>N</tex> nodes on the ring and control is passed sequentially from one to the next. Messages with random lengths arrive at each node and are placed on the ring when the control arrives at that node. Exhaustive service means that the queue at a node is empty before the token is released and gated means that only those messages in the queue at the arrival of the token are served at that cycle. Generating function recursions for the terminal service time (the total sojourn time of a token at a node) and, from this, joint cycle and intervisit times are derived. Using known results relating the marginal generating functions of the waiting time and the cycle and intervisit time, it is shown that the <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>N</tex> mean waiting times at the nodes require the solution of <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>N(N - 1)</tex> and N <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sup> equations for the exhaustive and gated cases, respectively. The arrival processes are assumed to be Poisson with different rates and the service processes are general and different at each node. In addition the token overhead is allowed to have an arbitrary but independent distribution at each node. Explicit, simply programmed equations are given. It is shown, arguing from the form of the equations, that there is a conservation law in effect in this system. If the nodal mean waiting times are weighted by the relative intensity, defined here as the intensity weighted mean, then the sum takes on a particularly simple form and is independent of the placement of the nodes on the ring. When the service means at each node are equal, this quantity is just the system mean waiting time." @default.
- W2024013060 created "2016-06-24" @default.
- W2024013060 creator A5045986584 @default.
- W2024013060 creator A5046843560 @default.
- W2024013060 date "1985-01-01" @default.
- W2024013060 modified "2023-10-18" @default.
- W2024013060 title "Exact Results for Nonsymmetric Token Ring Systems" @default.
- W2024013060 cites W1969102080 @default.
- W2024013060 cites W1980568779 @default.
- W2024013060 cites W2017141763 @default.
- W2024013060 cites W2064597697 @default.
- W2024013060 cites W2106867387 @default.
- W2024013060 cites W2119693072 @default.
- W2024013060 cites W2134693062 @default.
- W2024013060 cites W2139367005 @default.
- W2024013060 cites W2150117125 @default.
- W2024013060 cites W2169185979 @default.
- W2024013060 cites W2409110152 @default.
- W2024013060 doi "https://doi.org/10.1109/tcom.1985.1096285" @default.
- W2024013060 hasPublicationYear "1985" @default.
- W2024013060 type Work @default.
- W2024013060 sameAs 2024013060 @default.
- W2024013060 citedByCount "177" @default.
- W2024013060 countsByYear W20240130602012 @default.
- W2024013060 countsByYear W20240130602013 @default.
- W2024013060 countsByYear W20240130602014 @default.
- W2024013060 countsByYear W20240130602018 @default.
- W2024013060 countsByYear W20240130602019 @default.
- W2024013060 countsByYear W20240130602020 @default.
- W2024013060 countsByYear W20240130602022 @default.
- W2024013060 countsByYear W20240130602023 @default.
- W2024013060 crossrefType "journal-article" @default.
- W2024013060 hasAuthorship W2024013060A5045986584 @default.
- W2024013060 hasAuthorship W2024013060A5046843560 @default.
- W2024013060 hasConcept C100906024 @default.
- W2024013060 hasConcept C105795698 @default.
- W2024013060 hasConcept C11413529 @default.
- W2024013060 hasConcept C114614502 @default.
- W2024013060 hasConcept C118615104 @default.
- W2024013060 hasConcept C127413603 @default.
- W2024013060 hasConcept C14036430 @default.
- W2024013060 hasConcept C160403385 @default.
- W2024013060 hasConcept C178790620 @default.
- W2024013060 hasConcept C184720557 @default.
- W2024013060 hasConcept C185592680 @default.
- W2024013060 hasConcept C2780378348 @default.
- W2024013060 hasConcept C31258907 @default.
- W2024013060 hasConcept C33923547 @default.
- W2024013060 hasConcept C36653544 @default.
- W2024013060 hasConcept C41008148 @default.
- W2024013060 hasConcept C48145219 @default.
- W2024013060 hasConcept C62611344 @default.
- W2024013060 hasConcept C66938386 @default.
- W2024013060 hasConcept C78458016 @default.
- W2024013060 hasConcept C86803240 @default.
- W2024013060 hasConceptScore W2024013060C100906024 @default.
- W2024013060 hasConceptScore W2024013060C105795698 @default.
- W2024013060 hasConceptScore W2024013060C11413529 @default.
- W2024013060 hasConceptScore W2024013060C114614502 @default.
- W2024013060 hasConceptScore W2024013060C118615104 @default.
- W2024013060 hasConceptScore W2024013060C127413603 @default.
- W2024013060 hasConceptScore W2024013060C14036430 @default.
- W2024013060 hasConceptScore W2024013060C160403385 @default.
- W2024013060 hasConceptScore W2024013060C178790620 @default.
- W2024013060 hasConceptScore W2024013060C184720557 @default.
- W2024013060 hasConceptScore W2024013060C185592680 @default.
- W2024013060 hasConceptScore W2024013060C2780378348 @default.
- W2024013060 hasConceptScore W2024013060C31258907 @default.
- W2024013060 hasConceptScore W2024013060C33923547 @default.
- W2024013060 hasConceptScore W2024013060C36653544 @default.
- W2024013060 hasConceptScore W2024013060C41008148 @default.
- W2024013060 hasConceptScore W2024013060C48145219 @default.
- W2024013060 hasConceptScore W2024013060C62611344 @default.
- W2024013060 hasConceptScore W2024013060C66938386 @default.
- W2024013060 hasConceptScore W2024013060C78458016 @default.
- W2024013060 hasConceptScore W2024013060C86803240 @default.
- W2024013060 hasIssue "3" @default.
- W2024013060 hasLocation W20240130601 @default.
- W2024013060 hasOpenAccess W2024013060 @default.
- W2024013060 hasPrimaryLocation W20240130601 @default.
- W2024013060 hasRelatedWork W1769985388 @default.
- W2024013060 hasRelatedWork W197240954 @default.
- W2024013060 hasRelatedWork W1997610667 @default.
- W2024013060 hasRelatedWork W2045511863 @default.
- W2024013060 hasRelatedWork W2075357683 @default.
- W2024013060 hasRelatedWork W2118088052 @default.
- W2024013060 hasRelatedWork W2133527001 @default.
- W2024013060 hasRelatedWork W2139801379 @default.
- W2024013060 hasRelatedWork W2155903905 @default.
- W2024013060 hasRelatedWork W2403848060 @default.
- W2024013060 hasVolume "33" @default.
- W2024013060 isParatext "false" @default.
- W2024013060 isRetracted "false" @default.
- W2024013060 magId "2024013060" @default.
- W2024013060 workType "article" @default.