Seminar: Monotone Comparative Statics in Operations Models


Department of Systems Engineering and Engineering Management
The Chinese University of Hong Kong

Title: Monotone Comparative Statics in Operations Models

Speaker: Prof. Xin Chen
               Department of Industrial and Enterprise Systems Engineering
               University of Illinois at Urbana-Champaign

Date: Feb. 23th, 2012 (Thursday)
Time: 11:00a.m. - 12:00noon

Venue: Room 1009 (10/F)
            William M.W. Mong Engineering Building
            (Engineering Building Complex Phase 2)


Lattice programming plays an important role in establishing monotone comparative statics in parametric optimization problems. To apply it in Markovian decision processes, it is common to establish certain preservation properties of supermodularity under dynamic programming recursions, which often requires lattice conditions of the feasible sets. In this talk, we introduce new preservation properties of supermodularity and its variants in a class of two dimensional parametric optimization problems, where the constraint set may not be a lattice. These properties include several existing results in the literature as special cases, and provide powerful tools as we illustrate their applications to a variety of operations models.


Xin Chen is an associate professor at the University of Illinois at Urbana-Champaign. He obtained his PhD from MIT, MS from Chinese Academy of Sciences and BS from Xiangtan University. His research interest lies in optimization and supply chain management.

He received the Informs revenue management and pricing section prize in 2009. He is the coauthor of the book "The Logic of Logistics: Theory, Algorithms, and Applications for Logistics and Supply Chain Management (Second Edition)".

************************* ALL ARE WELCOME ************************
Host: Prof. Duan Li

Tel: (852) 3943-8316/8323


Enquiries: Prof. Nan Chen or Prof. Sean X. Zhou
                 Department of Systems Engineering and Engineering Management





Thursday, February 23, 2012 - 03:00 to 04:00