Distribution network design: Selection and sizing of congested connections

This paper focuses on certain types of distribution networks in which commodity flows must go through connections that are subject to congestion. Connections serve as transshipment and/or switching points and are modeled as M/G/1 queues. The goal is to select connections, assign flows to the connect...

Full description

Saved in:

Bibliographic Details
Published in:	Naval research logistics Vol. 52; no. 8; pp. 701 - 712
Main Authors:	Huang, Simin, Batta, Rajan, Nagi, Rakesh
Format:	Journal Article
Language:	English
Published:	Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.12.2005
Subjects:	congestion connections distribution network
ISSN:	0894-069X, 1520-6750
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	This paper focuses on certain types of distribution networks in which commodity flows must go through connections that are subject to congestion. Connections serve as transshipment and/or switching points and are modeled as M/G/1 queues. The goal is to select connections, assign flows to the connections, and size their capacities, simultaneously. The capacities are controlled by both the mean and the variability of service time at each connection. We formulate this problem as a mixed integer nonlinear optimization problem for both the fixed and variable service rate cases. For the fixed service rate case, we prove that the objective function is convex and then develop an outer approximation algorithm. For the variable service rate case, both mean and second moment of service time are decision variables. We establish that the utilization rates at the homogeneous connections are identical for an optimal solution. Based on this key finding, we develop a Lagrangian relaxation algorithm. Numerical experiments are conducted to verify the quality of the solution techniques proposed. The essential contribution of this work is the explicit modeling of connection capacity (through the mean and the variability of service time) using a queueing framework. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.
Bibliography:	National Science Foundation - No. DMI-0300370 ArticleID:NAV20106 ark:/67375/WNG-26WX0PD9-T istex:3BA11058D5B04BDA0492D654BE7B70206F62D2EA
ISSN:	0894-069X 1520-6750
DOI:	10.1002/nav.20106