Exercises - in-class and recommended
Recommended exercises to do on your own:
- Markov Chains in Discrete Time: 1.5, 1.6, 1.8.
- Markov Chains in Continuous Time: 1.12, 1.15.
- Queuing Theory: 2.2, 2.5, 2.6, 2.14.
- Inventory Theory: 3.1, 3.2, 3.6, 3.8, 3.9
- Marginal Allocation 4.1, 4.3, 4.4
- Deterministic Dynamic Programming: 5.1, 5.2, 5.3
- Stochastic Dynamic Programming: 5.4 (used in one of the exercise classes), 5.6, 5.8, 5.10-12
- Markov Decision Processes: 6.2, 6.3, 6.4, 6.9 a,c
Exercises that will be solved in class
- Exercise class 1: Markov processes 1.4a,b, 1.11, Component manufacturers (problem_ovn1_manufacture), Cat and Mouse problem (problem_ovn1_catnmouse).
- Exercise class 2: Queueing theory 2.10a-d, 2.5a-c, and 2.11 a-b.
- Exercise class 3: Jackson networks 2.1, Exam 20120612-1
- Exercise class 4: Marginal allocation - The satellite. The Satellite. (Manuscript.)
- Exercise class 5: Inventory theory, Taxi-driver EOQ with discount (problem_ovn5), 3.3 Newsvendor
- Exercise class 6: Inventory theory 3.5, deterministic review model - Boat problem (problem_ovn6_boat Download problem_ovn6_boat), selling oil Exam 20080530-2 (problem_ovn6_oil Download problem_ovn6_oil)
- Exercise class 7: Dynamic programming, Knapsack problem 5.5, Distributing Scientists from IOR
- Exercise class 8: DynP 4.4 extended version Download 4.4 extended version, Markov decision problems Exam 20120612-3 if time allows
- Exercise class 9: Markov decision problems with discount, Taxi Driver Exam 20080530-5 (problem_ovn9_taxi), Exam 20160111-4b