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IE 534

Stochastic Models in Operations Research

A graduate-level course on modeling systems that evolve randomly over time and deciding how to act when the future is uncertain. You'll work through Markov chains, Markov decision processes, renewal and queueing models, and stochastic dynamic programming for inventory and production, mostly via four problem sets plus a midterm and final that push you to formulate real systems and compute their long-run performance. It builds on undergraduate probability and IE 400-level optimization, and sits at the analytical core of OR — feeding directly into queueing networks, simulation, supply chain analytics, and most operations-focused PhD research.

Credit3ECTS5FacultyFaculty of EngineeringBölümIndustrial Engineering

Değerlendirme 100% — 3 adım

30%
30%
40%
Midterm MT1 30%
Homework HW 30%
Final F 40%

Önerilen kaynaklar 2 kitap

📕
Zorunlu
Introduction to probability models
Ross, Sheldon M.
2010/10th (Several editions that are available at the library) · Elsevier
📖
Önerilen
An Introduction to Stochastic Modeling
H.M. Taylor, S. Karlin
1998 · 3rd edition

Haftalık müfredat 14 hafta

Hafta 1
Introduction, Discrete-Time Markov Chains – Review, Computational Issues, Examples. Markov Chains with Rewards
Hafta 2
Discrete-Time Markov Chains – Review, Computational Issues, Examples. Markov Chains with Rewards
Hafta 3
Discrete-Time Markov Chains – Review, Computational Issues, Examples. Markov Chains with Rewards
Hafta 4
Markov Decision Processes – Review of LP formulation. Computational issues; Policy Iteration Method
Hafta 5
Markov Decision Processes – Review of LP formulation. Computational issues; Policy Iteration Method
Hafta 6
Inventory and Production Models – Introductory Stochastic Dynamic Programming
Hafta 7
Inventory and Production Models – Introductory Stochastic Dynamic Programming
Hafta 8
Inventory and Production Models – Introductory Stochastic Dynamic Programming
Hafta 9
Introduction to Stochastic Programming with recourse
Hafta 10
EXAM
Hafta 11
Renewal Models
Hafta 12
Renewal Models
Hafta 13
Other topics
Hafta 14
Other topics

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