INDUSTRIAL AND SYSTEMS ENGINEERING DEPARTMENT
SPRING 2012 SEMINAR SERIES
TITLE: Multi-Objective Multi-Expert Optimization using Weight Robustness and
Stochastic Dominance: Concepts, Properties, and Applications
SPEAKER: Dr. Sanjay Mehrotra, Industrial Engineering and Management Sciences
McCormick School of Engineering, Northwestern University
DATE / TIME: Friday, February 3, 2012
2:30 pm – 3:30 pm
LOCATION: Room 451 Mohler Lab, 200 W. Packer Avenue
ABSTRACT: Multivariate multi-objective decision problems arise in a large number of situations in areas such as healthcare, security, energy, logistics, sustainability, finance, and manufacturing. The decisions involve input from multiple experts weighing in on the decision objectives. The parameters of the functions modeling objectives and constraints are uncertain, and decisions are often made in reference to a random benchmark that is to be exceeded.
This presentation will cover mathematical optimization techniques for formulating and solving such problems based on my current research. In particular, the presentation will (i) introduce a newly developed concept of Robust Pareto optimality and a multi-criteria robust optimization with weights (McRow) modeling framework; (ii) discuss the properties of the class of McRow models involving both deterministic and stochastic weight sets; (iii) illustrate the usefulness of McRow models using examples from resource allocation for diabetes management, disaster planning, and agriculture economics; (iv) time permitting, next we will introduce concepts to model problems with multiple random benchmarks using stochastic dominance (McSwd); (iv) present analytical properties of the McSwd models; (v) discuss the usefulness of McSwd models in stochastic comparison, and also the use of combined McRow-McSwd framework for budgeting in homeland security..
BIOGRAPHY: Professor Mehrotra has made significant research contributions to the field of mathematical optimization. He is also an active researcher within the area of healthcare engineering. He is widely known for his predictor-corrector method, is currently the chair-elect of the INFORMS Optimization Society. He is a department editor for Optimization for the Institute of Industrial Engineers society journal IIE Transactions, and the journal Asia Pacific Journal of Operations Research. He has served as a vice-president of chapter/fora and a member of Institute for Operations Research and Management Sciences Board of Directors. His optimization research is published in journals such as Mathematical Programming, SIAM Journal on Optimization, Operations Research, Mathematics of
Operations Research, Optimization Methods and Software, IIE-Transactions, INFORMS Journal on Computing, Journal of Global Optimization, SIAM Journal on Computing, SIAM Journal on Numerical Analysis, Analyst. His healthcare engineering research is published in journals such as Bioinformatics, BMC BioInformatics, Healthcare Management Science, and Annals of Surgery. His current research
is supported by NSF, ONR, DOE, and NIH.
SPRING 2012 SEMINAR SERIES
TITLE: Multi-Objective Multi-Expert Optimization using Weight Robustness and
Stochastic Dominance: Concepts, Properties, and Applications
SPEAKER: Dr. Sanjay Mehrotra, Industrial Engineering and Management Sciences
McCormick School of Engineering, Northwestern University
DATE / TIME: Friday, February 3, 2012
2:30 pm – 3:30 pm
LOCATION: Room 451 Mohler Lab, 200 W. Packer Avenue
ABSTRACT: Multivariate multi-objective decision problems arise in a large number of situations in areas such as healthcare, security, energy, logistics, sustainability, finance, and manufacturing. The decisions involve input from multiple experts weighing in on the decision objectives. The parameters of the functions modeling objectives and constraints are uncertain, and decisions are often made in reference to a random benchmark that is to be exceeded.
This presentation will cover mathematical optimization techniques for formulating and solving such problems based on my current research. In particular, the presentation will (i) introduce a newly developed concept of Robust Pareto optimality and a multi-criteria robust optimization with weights (McRow) modeling framework; (ii) discuss the properties of the class of McRow models involving both deterministic and stochastic weight sets; (iii) illustrate the usefulness of McRow models using examples from resource allocation for diabetes management, disaster planning, and agriculture economics; (iv) time permitting, next we will introduce concepts to model problems with multiple random benchmarks using stochastic dominance (McSwd); (iv) present analytical properties of the McSwd models; (v) discuss the usefulness of McSwd models in stochastic comparison, and also the use of combined McRow-McSwd framework for budgeting in homeland security..
BIOGRAPHY: Professor Mehrotra has made significant research contributions to the field of mathematical optimization. He is also an active researcher within the area of healthcare engineering. He is widely known for his predictor-corrector method, is currently the chair-elect of the INFORMS Optimization Society. He is a department editor for Optimization for the Institute of Industrial Engineers society journal IIE Transactions, and the journal Asia Pacific Journal of Operations Research. He has served as a vice-president of chapter/fora and a member of Institute for Operations Research and Management Sciences Board of Directors. His optimization research is published in journals such as Mathematical Programming, SIAM Journal on Optimization, Operations Research, Mathematics of
Operations Research, Optimization Methods and Software, IIE-Transactions, INFORMS Journal on Computing, Journal of Global Optimization, SIAM Journal on Computing, SIAM Journal on Numerical Analysis, Analyst. His healthcare engineering research is published in journals such as Bioinformatics, BMC BioInformatics, Healthcare Management Science, and Annals of Surgery. His current research
is supported by NSF, ONR, DOE, and NIH.
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