Jess & Mildred Fisher College of Science & Mathematics

Current and Past Projects

  • 2011–2013 The United States Department of Housing and Urban Development Mathematical 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.

  • 2009–2011 Chemical Security Analysis Center.  Risk Analysis: Toxic Materials Transportation Security

    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.

  • 20082009 Baltimore 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.

  • 20052008 National 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.

  • 20042005 Carroll 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.

  • 20032005 Baltimore County Department of Environmental Protection and Resource Management.  Rural Baltimore County Domestic Well Analysis

    Two AML teams analysed the data provided by the county to look for patterns in the failure rates of rural domestic water wells.

  • 20022003 Baltimore City Fire Department.  An Analysis of the Optimal Staffing Level of the Baltimore City Fire Department  

    This project determined an approximately optimal staffing level for the Baltimore City Fire Department

  • 19981999 Science 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. 

  • 19961997 Bell 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.

  • 19951996 Towson 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.

  • 19931994 Martin 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.

  • 1990–1992 Becton 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.

  • 19891990 Towson 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.

  • 1988–1989 BlueCross 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.

  • 1986–1987 State 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.

  • 19851986 Citicorp 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.

  • 1984 A. 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.

  • 1983–1984 Union 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.

  • 19821983 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.

  • 19801981 Towson 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.

AML Team 2012-13

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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