Paper Abstract and Keywords |
Presentation |
2015-03-09 14:15
Maximum Supply Rate and Minimum Supply Increase Rate of Supply and Demand Networks Hironori Yoshihara, Takao Nishizeki (KGU) COMP2014-47 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Assume that a graph $G$ has $l$ sources, each assigned a non-negative integer
called a supply, that all the vertices other than the sources are sinks, each
assigned a non-negative integer called a demand, and that each edge of $G$ is
assigned a non-negative integer, called a capacity. A spanning distribution forest
$F$ of $G$ consists of $l$ trees, each tree $T$ in $F$ contains a source $u$,
and the flow through each edge of $T$ does not exceed the edge-capacity
when a flow of an amount equal to a demand is sent from $u$ to each sink in $T$
along the path in $T$. When $G$ has no spanning distribution forest, one wishes to
solve two problems; the first is to find the maximum number $r^*$, $0leq r^* < 1$,
called the maximum supply rate, such that $G$ has a spanning distribution forest
when every
demand is reduced to the ceiling of $r^*$ times the original demand; the second
is to find the minimum number $p^*(>1)$, called the minimum supply increase rate,
such that $G$ has a spanning distribution forest when every supply is increased to the floor
of $p^*$ times the original supply. In the paper we present algorithms for the two
problems when $G$ is a tree, series-parallel graph or partial $k$-tree. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
sink / source / capacity / spanning distribution forest / maximum supply rate / minimum supply increase rate / forest / |
Reference Info. |
IEICE Tech. Rep., vol. 114, no. 509, COMP2014-47, pp. 31-37, March 2015. |
Paper # |
COMP2014-47 |
Date of Issue |
2015-03-02 (COMP) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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COMP2014-47 |
Conference Information |
Committee |
COMP |
Conference Date |
2015-03-09 - 2015-03-09 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Ritsumeikan University |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
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Paper Information |
Registration To |
COMP |
Conference Code |
2015-03-COMP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Maximum Supply Rate and Minimum Supply Increase Rate of Supply and Demand Networks |
Sub Title (in English) |
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Keyword(1) |
sink |
Keyword(2) |
source |
Keyword(3) |
capacity |
Keyword(4) |
spanning distribution forest |
Keyword(5) |
maximum supply rate |
Keyword(6) |
minimum supply increase rate |
Keyword(7) |
forest |
Keyword(8) |
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1st Author's Name |
Hironori Yoshihara |
1st Author's Affiliation |
Kwansei Gakuin University (KGU) |
2nd Author's Name |
Takao Nishizeki |
2nd Author's Affiliation |
Kwansei Gakuin University (KGU) |
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Speaker |
Author-1 |
Date Time |
2015-03-09 14:15:00 |
Presentation Time |
30 minutes |
Registration for |
COMP |
Paper # |
COMP2014-47 |
Volume (vol) |
vol.114 |
Number (no) |
no.509 |
Page |
pp.31-37 |
#Pages |
7 |
Date of Issue |
2015-03-02 (COMP) |
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