Tracking policies for a class of dynamic production-inventory systems

Magdi S. Mahmoud; Umar M. Al-Turki; Shokri Z. Selim

doi:10.1016/j.jfranklin.2010.08.003

Tracking policies for a class of dynamic production-inventory systems

Magdi S. Mahmoud, Umar M. Al-Turki, Shokri Z. Selim

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

2 Scopus citations

Abstract

In this paper, new results are established for generating tracking policies in aggregated production-inventory systems. A dynamic model is developed to characterize the evolution of targeted production, inventory and demand over time and incorporates the inventory, production and demand tracking errors as additional variables. The control variables are managerial decision variables on rate of production and advertisement. The developed model takes the form of linear system with time-varying delay. Tracking policies are then formulated and determined to ensure that the production-inventory tracking model achieves a desirable performance in terms of H∞-measure. Numerical simulation is performed to illustrate the theoretical developments.

Original language	English
Pages (from-to)	1689-1703
Number of pages	15
Journal	Journal of the Franklin Institute
Volume	347
Issue number	9
DOIs	https://doi.org/10.1016/j.jfranklin.2010.08.003
State	Published - Nov 2010

Bibliographical note

Funding Information:
The research work of the first author is supported by KFUPM research project No. FT090015 .

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

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10.1016/j.jfranklin.2010.08.003

Cite this

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title = "Tracking policies for a class of dynamic production-inventory systems",

abstract = "In this paper, new results are established for generating tracking policies in aggregated production-inventory systems. A dynamic model is developed to characterize the evolution of targeted production, inventory and demand over time and incorporates the inventory, production and demand tracking errors as additional variables. The control variables are managerial decision variables on rate of production and advertisement. The developed model takes the form of linear system with time-varying delay. Tracking policies are then formulated and determined to ensure that the production-inventory tracking model achieves a desirable performance in terms of H∞-measure. Numerical simulation is performed to illustrate the theoretical developments.",

author = "Mahmoud, \{Magdi S.\} and Al-Turki, \{Umar M.\} and Selim, \{Shokri Z.\}",

note = "Funding Information: The research work of the first author is supported by KFUPM research project No. FT090015 . ",

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AU - Mahmoud, Magdi S.

AU - Al-Turki, Umar M.

AU - Selim, Shokri Z.

N1 - Funding Information: The research work of the first author is supported by KFUPM research project No. FT090015 .

PY - 2010/11

Y1 - 2010/11

N2 - In this paper, new results are established for generating tracking policies in aggregated production-inventory systems. A dynamic model is developed to characterize the evolution of targeted production, inventory and demand over time and incorporates the inventory, production and demand tracking errors as additional variables. The control variables are managerial decision variables on rate of production and advertisement. The developed model takes the form of linear system with time-varying delay. Tracking policies are then formulated and determined to ensure that the production-inventory tracking model achieves a desirable performance in terms of H∞-measure. Numerical simulation is performed to illustrate the theoretical developments.

AB - In this paper, new results are established for generating tracking policies in aggregated production-inventory systems. A dynamic model is developed to characterize the evolution of targeted production, inventory and demand over time and incorporates the inventory, production and demand tracking errors as additional variables. The control variables are managerial decision variables on rate of production and advertisement. The developed model takes the form of linear system with time-varying delay. Tracking policies are then formulated and determined to ensure that the production-inventory tracking model achieves a desirable performance in terms of H∞-measure. Numerical simulation is performed to illustrate the theoretical developments.

UR - https://www.scopus.com/pages/publications/77958081998

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VL - 347

SP - 1689

EP - 1703

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 9

ER -

Tracking policies for a class of dynamic production-inventory systems

Abstract

Bibliographical note

ASJC Scopus subject areas

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