
OPERATIONS RESEARCH (OPRS)
All
OPRS/MATH/STAT courses offered by the Department of Mathematics are approved to
satisfy requirements for the Problem Solving Goal of UNC
OPRS 3111. Operations Research: Deterministic Models.
(3) Prerequisites: MATH 1242 and 2164.
Linear, integer and dynamic programming, the simplex method, networks, PERT and
CPM techniques, game theory, and applications. (On demand)
OPRS 3113. Operations Research: Probabilistic Models.
(3) Prerequisite: MATH 1242, 2164, and STAT 2122 or
MATH/STAT 3122, or consent of the Department. Queueing
models, inventory models, simulation, markov chains,
decision analysis, game theory and probabilistic dynamic programming. (On demand)
OPRS 4010. Topics in Decision
Mathematics. (2‑3) Prerequisite: consent of the Department.
Topics in decision mathematics selected to supplement regular course offerings
in this area of mathematics. May be repeated for additional
credit with the approval of the Department. Credit for the M.A. degree
in Mathematics requires approval of the Department. (On demand)
OPRS 4113. Game Theory. (3) Prerequisites: OPRS 3111 and one of STAT 2122, MATH/STAT
3122, or OPRS 3113. The theory of zero‑sum matrix games, mini‑max
theorem, optimal strategies, symmetric games, economic models, infinite,
separable, polynomial, multi‑stage, general‑sum and n‑person
games. A project will be required of all graduate students. (On demand)
OPRS 4114. Dynamic Programming.
(3) Prerequisites: ITCS 1100 or 1201 and
its lab, OPRS 3111, and one of STAT 2122, MATH/STAT 3122 or OPRS 3113. The identification of dynamic programming problems and their
solution in terms of recurrence relations. Elementary
path problems, resource allocation, shortest path, traveling salesmen problem,
discrete‑time optimal control, replacement models, and inventory systems.
A project will be required of all graduate students. (On demand)