Disciplines
Applied Statistics | Discrete Mathematics and Combinatorics
Abstract (300 words maximum)
The Bert Show is a popular morning show on Atlanta’s Q100 radio station. They host a non-profit organization that provides a “magical, all-expenses-paid, five-day journey to Walt Disney World for children with chronic and terminal illnesses and their families” called “Bert’s Big Adventure.” On March 28th, 2018, thirty-seven locations of Jersey Mike’s are participating in the their Jersey Mike’s Day of Giving to support Bert’s Big Adventure. The goal is to have two popular radio show hosts visit each of these locations for some photos and presence to draw in more customers! But how do we get two radio hosts through Atlanta traffic to visit a similar number of locations each, in 9 hours????
We developed a novel approach to the Multiple Traveling Salesman Problem (mTSP) that combines a genetic algorithm (GA) with a combinatorial optimization solver. The objective of the mTSP is to assign a tour of cities to each of m salesmen such that the maximum of the travel times for each salesman is minimized. In our program, the GA determines the assignment of cities to each salesman, while the combinatorial solver generates an optimal TSP route for each assignment. The maximum time for all single-TSP solutions provides the cost function for the GA. The genetic algorithm provides an efficient search of the solution space and we show that this metaheuristic approach provides significant performance benefits over the use of the constrained combinatorial optimization solver alone.
Academic department under which the project should be listed
CCSE - Data Science and Analytics
Primary Investigator (PI) Name
Dr. Joe DeMaio
Additional Faculty
Dr. Lin Li, Dept. of Systems and Industrial Engineering, lli19@kennesaw.edu
An Optimized Route for Q100's Bert and Kristin to Visit all Jersey Mike's Subs in Atlanta for Charity
The Bert Show is a popular morning show on Atlanta’s Q100 radio station. They host a non-profit organization that provides a “magical, all-expenses-paid, five-day journey to Walt Disney World for children with chronic and terminal illnesses and their families” called “Bert’s Big Adventure.” On March 28th, 2018, thirty-seven locations of Jersey Mike’s are participating in the their Jersey Mike’s Day of Giving to support Bert’s Big Adventure. The goal is to have two popular radio show hosts visit each of these locations for some photos and presence to draw in more customers! But how do we get two radio hosts through Atlanta traffic to visit a similar number of locations each, in 9 hours????
We developed a novel approach to the Multiple Traveling Salesman Problem (mTSP) that combines a genetic algorithm (GA) with a combinatorial optimization solver. The objective of the mTSP is to assign a tour of cities to each of m salesmen such that the maximum of the travel times for each salesman is minimized. In our program, the GA determines the assignment of cities to each salesman, while the combinatorial solver generates an optimal TSP route for each assignment. The maximum time for all single-TSP solutions provides the cost function for the GA. The genetic algorithm provides an efficient search of the solution space and we show that this metaheuristic approach provides significant performance benefits over the use of the constrained combinatorial optimization solver alone.