Kinetic and fluid model hierarchies for supply chains

被引：39

作者：

Armbruster, D ^{[1
]}

Marthaler, D

Ringhofer, C

机构：

[1] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA

[2] Duke Univ, Dept Math, Durham, NC 27708 USA

来源：

MULTISCALE MODELING & SIMULATION | 2003年 / 2卷 / 01期

关键词：

supply chains; gas dynamics; kinetic equations;

D O I：

10.1137/S1540345902419616

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a model hierarchy for queuing networks and supply chains, analogous to the hierarchy leading from the many body problem to the equations of gas dynamics. Various possible mean field models for the interaction of individual parts in the chain are presented. For the case of linearly ordered queues the mean field models and fluid approximations are verified numerically.

引用

页码：43 / 61

页数：19

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