Optimization of order policies in supply networks

S. Göttlich; M. Herty; Christian Ringhofer

doi:10.1016/j.ejor.2009.05.028

Optimization of order policies in supply networks

S. Göttlich, M. Herty, Christian Ringhofer

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

The purpose of this paper is to develop a model which allows for the study and optimization of arbitrarily complex supply networks, including order policies and money flows. We propose a mathematical description that captures the dynamic behavior of the system by a coupled system of ordinary differential delay equations. The underlying optimization problem is solved using discretization techniques yielding a mixed-integer programming problem.

Original language	English (US)
Pages (from-to)	456-465
Number of pages	10
Journal	European Journal of Operational Research
Volume	202
Issue number	2
DOIs	https://doi.org/10.1016/j.ejor.2009.05.028
State	Published - Apr 16 2010

Keywords

Combinatorial optimization
Network flows
Policy models
Production lines

ASJC Scopus subject areas

General Computer Science
Modeling and Simulation
Management Science and Operations Research
Information Systems and Management

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10.1016/j.ejor.2009.05.028

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title = "Optimization of order policies in supply networks",

abstract = "The purpose of this paper is to develop a model which allows for the study and optimization of arbitrarily complex supply networks, including order policies and money flows. We propose a mathematical description that captures the dynamic behavior of the system by a coupled system of ordinary differential delay equations. The underlying optimization problem is solved using discretization techniques yielding a mixed-integer programming problem.",

keywords = "Combinatorial optimization, Network flows, Policy models, Production lines",

author = "S. G{\"o}ttlich and M. Herty and Christian Ringhofer",

note = "Funding Information: This work was supported by NSF grant DMS-0604986, the DAAD project D/06/28176, D/08/11076 and the DFG grant HE 5386/6-1 and Seed Funds of RWTH Aachen. Special thanks go to Sebastian K{\"u}hn for his help in generating sample scenarios and implementing various mixed-integer problems.",

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T1 - Optimization of order policies in supply networks

AU - Göttlich, S.

AU - Herty, M.

AU - Ringhofer, Christian

N1 - Funding Information: This work was supported by NSF grant DMS-0604986, the DAAD project D/06/28176, D/08/11076 and the DFG grant HE 5386/6-1 and Seed Funds of RWTH Aachen. Special thanks go to Sebastian Kühn for his help in generating sample scenarios and implementing various mixed-integer problems.

PY - 2010/4/16

Y1 - 2010/4/16

N2 - The purpose of this paper is to develop a model which allows for the study and optimization of arbitrarily complex supply networks, including order policies and money flows. We propose a mathematical description that captures the dynamic behavior of the system by a coupled system of ordinary differential delay equations. The underlying optimization problem is solved using discretization techniques yielding a mixed-integer programming problem.

AB - The purpose of this paper is to develop a model which allows for the study and optimization of arbitrarily complex supply networks, including order policies and money flows. We propose a mathematical description that captures the dynamic behavior of the system by a coupled system of ordinary differential delay equations. The underlying optimization problem is solved using discretization techniques yielding a mixed-integer programming problem.

KW - Combinatorial optimization

KW - Network flows

KW - Policy models

KW - Production lines

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SP - 456

EP - 465

JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 2

ER -

Optimization of order policies in supply networks

Abstract

Keywords

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