报告题目：Multi-periodStochastic Manpower and Productivity Optimizationin A Hierarchical System

报告人：Kok Lay Teo

时间：2019年3月6(周三)下午4:30

地点：汇贤楼122教室

主办单位：数学科学学院

讲座摘要

Inthis talk, we consider the manpower optimization problem for a manufacturingcompanywith a hierarchy system ofMlevels. We take both the manufacturing plantworkers and managerial staffinto account. The aim of the problem is to minimizethe total human resource cost at the end of the timehorizon, while maximizingthe total output. The problem is subject to a series of chance constraints, forwhichthe number of staff operating in each level is ensured to satisfy theminimum number requirement with aspecified probability. This manpoweroptimization problem can naturally formulated as a stochastic discrete-timeoptimal control problem. We then show that this stochastic optimal controlproblem is equivalent toa deterministic optimal control problem. It is furthershown that the deterministic optimal control problemcan be reduced to anequivalent linear programming problem, which can be solved very efficiently byusingthe interior-point algorithm. Finally, we conclude the paper withnumerical simulations using real data fromSingapore, Denmark and China.

个人简介：

KokLay Teo received his Ph.D. degrees in electricalengineering from the University of Ottawa, Canada. Hewas with the Department of Applied Mathematics, University of New South Wales,Australia, the Department of Industrial and Systems Engineering, NationalUniversity of Singapore, Singapore, the Department of Mathematics, theUniversity of Western Australia, Australia. In 1996, he joined the Departmentof Mathematics and Statistics, Curtin University of Technology, Australia, asProfessor. He then took up the position of Chair Professor of AppliedMathematics and Head of Department of Applied Mathematics at the Hong KongPolytechnic University, China, from 1999 to 2004. He returned to CurtinUniversity as Professor and Head of the Department of Mathematics andStatistics from 2015 to 2010. He has been John Curtin Distinguished Professorat Curtin University since 2011. He was a member of the ARC's Mathematical,Information, and Computing Sciences Research Evaluation Committee for ERA 2010and ERA2015. He has published 5 books and over 500journal papers. He has a software package, MISER3.3, for solving generalconstrained optimal control problems. His editorial positions include servingas Editor-in-Chief of the Journal of Industrial and Management Optimization;Numerical Algebra, Control and Optimization; and Cogent Mathematics, and as amember of editorial board of a number of journals such as Automatica, Journalof Global Optimization, Journal of Optimization Theory and Applications,Optimization and Engineering, Discrete and Continuous Dynamic Systems,Optimization Letters, and Applied Mathematical Modelling. His researchinterests include both the theoretical and practical aspects of optimal controland optimization, and their practical applications such as in signal processingin telecommunications, and financial portfolio optimization.