Loading presentation...

Present Remotely

Send the link below via email or IM


Present to your audience

Start remote presentation

  • Invited audience members will follow you as you navigate and present
  • People invited to a presentation do not need a Prezi account
  • This link expires 10 minutes after you close the presentation
  • A maximum of 30 users can follow your presentation
  • Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.



No description

Sharlee Climer

on 30 April 2018

Comments (0)

Please log in to add your comment.

Report abuse

Transcript of MIPs

Mixed Integer Programs (MIPs)
Can be used to represent many diverse problems
Generic solvers can be used to solve to optimality
How can we model the TSP?
Given a set of cities and the cost of travel between pairs of cities
Find the minimum-cost tour that visits each city and returns to the start city

Most are NP-hard
NP: non-deterministic polynomial time
Combinatorial explosion of number of feasible solutions

Traveling Salesman Problem (TSP)
Extensively researched
Produced search strategies for more general problems

MIPs in Biological Data Science
24,978-city TSP (Sweden)
85,900-city TSP (integrated circuit)
How many feasible solutions?
- 1) !
Approximate solution for 100,000-city TSP
$1000 award for finding a better solution
49-city TSP
532-city TSP
What do you think are the largest TSPs that have been solved to optimality?
Sequence alignment problem:
Shortest Common Superstring
MIPs in Biological Data Science
Newman's Modularity
Michael's research
Other possibilities
Protein folding
Protein docking
Many other possibilities
This can be cast as a TSP!
Use DNA nucleotides in sequencing reads to map a genome
Computing costs continue to decline
Even if Moore's Law slows, still increasingly affordable to have more processors working in parallel
Optimally solving NP-Hard problems may become more commonplace in the near future
Full transcript