2011–2013The United States Department of Housing and Urban DevelopmentMathematical Modeling of Segregation Patterns in Urban Areas.
The Applied Mathematics Laboratory worked with The United States Department of Housing and Urban Development to develop mathematical models of multi-group residential segregation in urban areas. The racial distribution of neighborhoods in urban areas has been front and center of the wider debate about racial disparity. We tackled this problem with probabilistic tools using Markov chain models to analyze and study the evolution of residential segregation at the census tract level.
The Applied Mathematics Laboratory worked with the Chemical Security Analysis Center to design a mathematical model to assess and manage the risk to the population involved in transporting toxic chemicals and to evaluate the available tools for solving the resulting mathematical problem. The student team adapted a minimum cost network flow model with randomized cost coefficients. The solution, together with graphic visualization of the solution, has appeared in the Journal of Transportation Security. This work has been supported by the Chemical Security Analysis Center through the grant TCN 10-030.
2008–2009Baltimore County Department of Environmental Protection and Resource Management. A Study of the Deer Population in Baltimore County
The Applied Mathematics Laboratory worked with the Baltimore County Department of Environmental Protection and Resource Management and with the Towson University Environmental Science and Studies, Senior Seminar class to estimate the Deer population in Baltimore County and to model the population in the future.
2005–2008National Institute of Justice.
The Mathematics of Geographic Profiling
The Applied Mathematics Laboratory worked with the National Institute of Justice to
determine the optimal police search area for a serial criminal. This is the question of how, given the location of the crimes committed by a single offender, to determine an optimal search area for that offender's home base. This work has been supported by the National Institute of Justice through grants 2009-SQ-B9-K014, 2007-DE-BX-K005, and 2005-IJ-CX-K036.
2004–2005Carroll Area Transit Systems. Analysis of the Carroll Area Transit System
The Applied Mathematics Laboratory worked with Carroll Area Transit Systems to provide
statistical models that can be used to predict the optimal number of vehicles needed for the system.
The team also analyzed the current operations of the system, and compared different bus scheduling
algorithms.
A. Engel, C.L. May, and M. O'Leary,
The Baltimore City Fire Department Staffing Problem,
in Mathematics in Service to the Community. Concepts and models for service learning in the mathematical sciences,
C. Hadlock ed., The Mathematical Asssociation of America, 2005, pp. 35-46.
1998–1999Science Applications International Corporation (SAIC).
Validation and Enhancement of Applications of Models from Epidemiology to
INFOSEC Assurance Metrics
This project investigated the use of epidemiological models to simulate
and analyze the spread of computer viruses through a corporate
network.
1996–1997Bell Atlantic Network Engineering and Capacity Management.
Customer Usage Profile for Fast-Packet Frame Relay
The AML team developed customer usage profiles for the relay of fast
packets through the communications network. Data communications engineering
and queueing theory were used to develop models for projection of network
impact, processor occupancy, and link utilization in the network serving
Bell Atlantic's industrial and business clients.
1995–1996Towson State University, Academic Services.
A Computer-Adaptive Mathematics Placement Test
The AML adapted a computer-based mathematics placement test from the
nationally recognized series of tests available from the Mathematical
Association of America. The AML test is computer-adaptive and uses
information about the student's background to customize the level of the
test and adjusts as the student takes the examination. Students are advised
on placement in accordance with their skill level and their major.
1993–1994Martin Marietta Aero and Naval Systems.
Interface Between Database System M/Vision and Statistical Software Stat17
The AML team wrote a front and back end to a statistical package linked
at the laboratory bench to a materials database used in the production of
state-of-the-art marine and air craft.
1990–1992Becton Dickinson Microbiology Systems.
Scheduling Production of Prepared Plated Media
Plates treated with growth media used for cultivation of bacteria used in
disease diagnosis are produced on several production lines at the Becton
Dickinson Hunt Valley installation. The scheduling package designed by the
AML optimizes the weekly schedule and takes account of inventory,
quarantines, cleanup and setup times on three of the busiest lines.
1989–1990Towson State University, Academic Services.
An Enrollment Model for Resource Scheduling
An AML team developed software to help the Registrar's office schedule
courses based on the changing demands within majors and in the requirements
for degrees.
1988–1989BlueCross BlueShield of Maryland.
Statistical Survey of Long-Term Care Patients in Nursing Homes
Towson actuarial science students and other mathematics majors
investigated the length-of-stay of Marylanders in nursing homes for the
purposes of helping the sponsor to evaluate the marketing and pricing
strategy for long-term care insurance policies.
1986–1987State of Maryland, Comptrollers Office, Retail Sales Tax Division. Estimation of Sales Tax Liability
Calculation of the liability of sales tax to be paid to the State of
Maryland by retail companies doing business in the state had been obtained
by teams of auditors combing through all of the business' records. The AML
team wrote software to allow for just one or two auditors to select a
stratified sample to estimate the tax liability with a high degree of
accuracy.
1985–1986Citicorp of Maryland.
Customer Service Queuing Model
The Citicorp Choice credit card service desk had varying needs for
operators and telephone lines. By setting up a real-time scheduling device,
the AML team helped Citicorp meet its service goals on the help-line.
1984A. A. I. Corporation.
Acoustical Pattern Recognition
Students in physics and mathematics joined together to study the
acoustical signatures of several vehicles in an attempt to design a remote
recognition device.
1983–1984Union Trust Company of Maryland, Operations Center.
The Collection of Cancelled Checks for Processing
Union Trust had 85 branch offices in all parts of Maryland. The AML team
developed an algorithm for the collection of cancelled checks from the
branch offices for processing at the central Guilford Avenue center. The
system was written to take into account the volume of check activity at
branch offices, the monetary value of the checks, and the efficiency of
routes.
1982–1983 Westinghouse Electrical Corporation, Electronics Repair Center.
Optimal Test Station Loading
The Electronics Repair Center services parts for airplanes used by the
Armed Forces. The AML team developed a scheduling program to help the
service center minimize the time that a part is in the center for
evaluation, repair and inspection.
1980–1981Towson State University, Auxiliary Services.
Student Housing at Towson State University
The student-faculty team investigated demographic and enrollment trends
and projected the on-campus residential needs for Towson State. The
projections were used in presenting the funding package to the legislature.
The Applied Mathematics Laboratory 2012-2013 student team Arianna Brown, Chana Frand, Brian Lynch, Molly Rozran, Mattias Schmid, Justin Thau, and Brittany Winders is being directed by Dr. Angel Kumchev and Dr. Moustapha Pemy.
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