draft CARI 98 ABOUT MIN - PLUS PRODUCT FORMS
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چکیده
We study here the min-plus analogues of Jackson networks of queues and show that the corresponding geodesic problems on Z m can be reduced to minimal cost flow problems on complete graphs having m nodes. In some particular cases, these flow problems can be solved explicitly giving formulae analogue , in the min-plus algebra, to the standard product forms. Nousétudions les analogues min-plus des réseaux de files d'attente Jack-sonien et montrons que lesprobì emes correspondants de géodésique sur Z m se ramènentà desprobì emes de flotà coût minimal sur des graphes completsà m noeuds. Dans certain cas, cesprobì emes de flot peuventêtre résolus explicite-ment, donnant, dans l'algèbre min-plus, les analogues des formes-produit standards .
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تاریخ انتشار 1998