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Generating Random Permutations in the Framework of Parallel Coarse Grained Models

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HAL Id: inria-00072758

https://hal.inria.fr/inria-00072758

Submitted on 24 May 2006

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Generating Random Permutations in the Framework of Parallel Coarse Grained Models

Isabelle Guérin Lassous, Eric Thierry

To cite this version:

Isabelle Guérin Lassous, Eric Thierry. Generating Random Permutations in the Framework of Parallel Coarse Grained Models. [Research Report] RR-3896, INRIA. 2000. �inria-00072758�

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ISSN 0249-6399 ISRN INRIA/RR--3896--FR+ENG

a p p o r t

d e r e c h e r c h e

THÈME 1

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

Generating Random Permutations in the Framework of Parallel Coarse Grained Models

Isabelle Guérin Lassous — Eric Thierry

N° 3896

Mars 2000

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Unité de recherche INRIA Rocquencourt

Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex (France)

Téléphone : +33 1 39 63 55 11 — Télécopie : +33 1 39 63 53 30

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(11)

2 5 9

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target 1 2 3 4 5 6 7 8 9

1 3 5 2 4 7 6 8 9 source packets

target packets

1 2 3 4 5 6 7 8 9 source packets

1 3 5 2 4 7 6 8 9 target packets

Two iterations of Algorithm 2 the network

Third flow -> the set {2,5,9}

First flow -> the set {1,4,8} Second flow -> the set {3,6,7}

transition packets 1 4 8 3 6 7

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W.g

¨

1 2 3 4 5 6 7 8

Loop 1

Loop 2

Loop 3

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– ¼ ¼ ”î• ¼ 1U & < "q:U 1 N& < * _7 &#k / "

! E*F6GH I 1X717 < ! " < 8"7 < 7"7 < ORQ2SUTUVW 7 ! " < " & d11

7 #7 ! 7d" ," E*F!M$Q2SUTJW:I

– ¼Æ¼ :uš

@

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!! T L9«AdWmA€ƒ_'dWždWb²dW„Ir

xo + |°k}€ƒ_xAkldc„¶¬|žrl_¶~wuxo­amo­|ž|žrts

2V ¨ ^_amzr´€xA„aktru|Ÿrunqrld;k}mewƒmz„a‚qxAb kln­akldr}xz 6 ¨ A¥rldc~TŽe€Wmz„¶­=dwld;mz|ž®WdW‚

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@

‘oxowu|žrl_b ˆwudIn|wld;k ORQXST V W €cxobebna„|€Wm˜ru|žxA„%ktrudc~ak¤mz„O‚ E*F GH I

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E*F!MJI

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¨

@ ž‘Axowu|Ÿru_b ˆT‘Adc„dWwumzrldWkrl_d~=dcwubnqrƒm˜rl|xo„Ok¬|žrl_ rl_dn„|ž ¡xowub ‚q|k£rlwu|­nqrl|xo„JY%mz ru_d¶k£d Anadc„a€cdWk'xz 

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xA„sxo„dkldIndW„a€dxz  dp€ƒ_amo„‘od;k ¬_a|€ƒ_¶dWmo‚ak¤rlx²rl_|°k~=dcwubnqrƒm˜ru|žxA„ƨ

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– ¼ ¼ ”>¡•¼ / WV& G H =1U & +u& & U: " 11) &# < ! "$+ & &#("< < 7

1s : "< _ " &#12(0/ < < 67 #7 !#", < >!"1 " 127d" QXST VW

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@

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m~wuxq€d;klklxow mowld´dc|žrl_dWw?d Ärxo„%rl_|°k¤~wux¥€cdWkuk£xAwVxowkldc„Ir rux'm'n„|AnadNxzru_dcw¤~wuxq€dWkuklxow;¨

@

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m˜ Ärudcw

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O

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rl_amzrrl_dmož‘Axowu|Ÿru_b¾„dWdW‚kNm˜ržd;mok£r

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