ISyE 6664 Stochastic Optimization

ISyE 7201 : Production and Service System Engineering Instructor : Spyros Reveliotis Spring 2016 Homework

A. Reading assignment: This homework focuses on the theory of Continuous Time Markov Chains and their applications. An introductory treatment of this material is provided in Chpt. 1 of your textbook, but most of the material presented in class was drawn from Ross’ and Resnick’s books on stochastic processes. Also, some developments (especially the part of uniformization of CTMCs) were based on ...

Industrial and Systems Engineering and Health Care: Critical Areas of Research

This document is in the public domain and may be used and reprinted with permission except those copyrighted materials that are clearly noted in the document. Further reproduction of those copyrighted materials is prohibited without the specific permission of copyright holders. None of the investigators has any affiliations or financial involvement that conflicts with the material presented in ...

ISyE 7201 : Production and Service System Engineering Instructor : Spyros Reveliotis Spring 2015 Homework

Reading Guidelines The introductory material on stochastic processes was (primarily) extracted from Section 6.2 in your textbook. Also, Discrete-Time Markov Chains (DTMCs) are treated in your textbook in Section 7.2. But some of the material presented in class was also based on personal notes. Of course, a large part of the discussion on DTMCs had a reviewing role of the material on DTMCs that ...

Effects of Probability Function on the Performance of Stochastic Programming

Stochastic programming is a valuable optimization tool where used when some or all of the design parameters of an optimization problem are defined by stochastic variables rather than by deterministic quantities. Depending on the nature of equations involved in the problem, a stochastic optimization problem is called a stochastic linear or nonlinear programming problem. In this paper,a stochasti...

A Stochastic Optimization Model for Groundwater Management