Use of deterministic and stochastic mathematical models to study and optimize systems. This course includes an introduction to mathematical modeling and the study of linear programming, network models, Markov processes and queuing theory. Students will use computer software for model construction and problem solving.

Credit in calculus, probability, statistics, or permission of instructor.

- Analyze problem situations and identify the relevant decision variables, parameters, constraints and performance measures associated with those situations.
- Identify and apply appropriate modeling techniques for general classes of problems. Techniques include stochastic and deterministic algorithms such as linear programming, queuing analysis and Markov processes.

- Introduction to mathematical modeling (1)
- Terminology
- Classification of models

- Linear Programming (3)
- Formulation
- Simplex Method
- Sensitivity Analysis

- Network models (3)
- Network representations
- Algorithms for shortest path, minimum spanning tree, maximum flow

- Markov processes (3)
- Classification of states
- Steady-state probabilities
- Absorbing states

- Queuing theory (4)
- Birth death models
- Non-birth death models
- Queuing networks

- Exams (1)

McVey Data Science Building, 262

105 Tallawanda Road

Oxford, OH 45056

501 E. High Street

Oxford, OH 45056

- Campus Map
- Directions
- Online: Miami Online

- Main Operator 513-529-1809
- Office of Admission 513-529-2531
- Vine Hotline 513-529-6400
- Emergency Info https://miamioh.edu/emergency

1601 University Blvd.

Hamilton, OH 45011

- Campus Map
- Directions
- Online: E-Campus

- Main Operator 513-785-3000
- Office of Admission 513-785-3111
- Campus Status Line 513-785-3077
- Emergency Info https://miamioh.edu/regionals/emergency

4200 N. University Blvd.

Middletown, OH 45042

- Campus Map
- Directions
- Online: E-Campus

- Main Operator 513-727-3200
- Office of Admission 513-727-3216
- Campus Status 513-727-3477
- Emergency Info https://miamioh.edu/regionals/emergency

7847 VOA Park Dr.

(Corner of VOA Park Dr. and Cox Rd.)

West Chester, OH 45069

- Main Operator 513-895-8862
- From Middletown 513-217-8862
- Emergency Info https://miamioh.edu/regionals/emergency

Chateau de Differdange

1, Impasse du Chateau, L-4524 Differdange

Grand Duchy of Luxembourg

- Main Operator 011-352-582222-1
- Email luxembourg@MiamiOH.edu
- Website https://miamioh.edu/luxembourg

217-222 MacMillan Hall

501 E. Spring St.

Oxford, OH 45056, USA

- Main Operator 513-529-8600
- Emergency Info https://miamioh.edu/emergency

© 2024 Miami University All Rights Reserved