Module Details |
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module. |
Title | NETWORKS IN THEORY AND PRACTICE | ||
Code | MATH367 | ||
Coordinator |
Dr P Buividovich Mathematical Sciences Pavel.Buividovich@liverpool.ac.uk |
||
Year | CATS Level | Semester | CATS Value |
Session 2024-25 | Level 6 FHEQ | Second Semester | 15 |
Aims |
|
•To develop an appreciation of network models for real world problems. •To describe optimisation methods to solve them. •To study a range of classical problems and techniques related to network models. |
Learning Outcomes |
|
(LO1) After completing the module students should be able to model problems in terms of networks and be able to apply effectively a range of exact and heuristic optimisation techniques. |
Syllabus |
|
Basic graph and network definitions and results. Minimal spanningtrees. Shortest/path algorithms (Dijkstra, Floyd). Edge routing, Euler tours,Chinese postman problem. Node routing, Hamilton tours,.Travelling salesman problem. Complexity problems. Branch and bound strategies, integer linear programming, generalisedassignments. Lagrangean relaxation methods, knapsack problems, set-covering problems. Heuristics, local search methods, vehicle routing problem. |
Recommended Texts |
|
Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module. |
Pre-requisites before taking this module (other modules and/or general educational/academic requirements): |
Co-requisite modules: |
Modules for which this module is a pre-requisite: |
Programme(s) (including Year of Study) to which this module is available on a required basis: |
Programme(s) (including Year of Study) to which this module is available on an optional basis: |
Assessment |
||||||
EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
formal examination | 120 | 50 | ||||
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
class test | 60 | 30 | ||||
self-paced quizzes on CANVAS | 0 | 20 |