IE 434/ IE 534 – Stochastic Models in Operations Research HW#.1 Due to: (17:00), Tuesday, September, 29, 2009 at EA 323. All the problems are taken from the course textbook by Ross (Introduction to Probability Models, 9th Edition, 2007, Chapter 4) Note: To solve the following problem, please check the gambler’s ruin problem in your text, Chapter 4. (a) (b) Define an appropriate Markov chain to analyze this model. Find the long-run probabilities. 1