TY - GEN
T1 - Hybrid model predictive control applied to production-inventory systems
AU - Nandola, Naresh N.
AU - Rivera, Daniel
N1 - Funding Information:
★ Support for this work has been provided by the Office of Behavioral and Social Sciences Research (OBSSR) of the National Institutes of Health and the National Institute on Drug Abuse (NIDA) through grants K25 DA021173 and R21 DA024266.
PY - 2011
Y1 - 2011
N2 - Hybrid production-inventory systems are characterized by discrete decisions on production levels and/or capacity. These systems have broad applicability to important, emerging applications of process control concepts, among them time-varying adaptive behavioral interventions and supply chain management. This paper examines the usefulness of hybrid model predictive control (HMPC) in these two novel application settings. In a hypothetical adaptive behavioral intervention inspired by Fast Track (a preventive intervention for reducing conduct disorder in at-risk children), HMPC is presented as a means to improve the assignment of frequency of home-based counseling visits to families with low parental function. In supply chain management, the usefulness of HMPC for assigning production capacity in an inventory control problem under conditions of varying customer demand is presented. These problems are modeled as mixed logical dynamical (MLD) systems, with HMPC consisting of a Mixed Integer Quadratic Program (MIQP) that employs a three-degree-of-freedom parametrization for achieving ease of tuning and facilitating robust performance under uncertainty.
AB - Hybrid production-inventory systems are characterized by discrete decisions on production levels and/or capacity. These systems have broad applicability to important, emerging applications of process control concepts, among them time-varying adaptive behavioral interventions and supply chain management. This paper examines the usefulness of hybrid model predictive control (HMPC) in these two novel application settings. In a hypothetical adaptive behavioral intervention inspired by Fast Track (a preventive intervention for reducing conduct disorder in at-risk children), HMPC is presented as a means to improve the assignment of frequency of home-based counseling visits to families with low parental function. In supply chain management, the usefulness of HMPC for assigning production capacity in an inventory control problem under conditions of varying customer demand is presented. These problems are modeled as mixed logical dynamical (MLD) systems, with HMPC consisting of a Mixed Integer Quadratic Program (MIQP) that employs a three-degree-of-freedom parametrization for achieving ease of tuning and facilitating robust performance under uncertainty.
KW - Adaptive behavioral interventions
KW - Hybrid systems
KW - Model Predictive Control
KW - Production-inventory systems
KW - Supply chain management
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U2 - 10.3182/20110828-6-IT-1002.02627
DO - 10.3182/20110828-6-IT-1002.02627
M3 - Conference contribution
AN - SCOPUS:84866751831
SN - 9783902661937
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 7328
EP - 7333
BT - Proceedings of the 18th IFAC World Congress
PB - IFAC Secretariat
ER -