FAST DESIGN OF WIRELESS MESH NETWORKS TO DEFEND AGAINST WORST-CASE JAMMING
Paul J. Nicholas and David L. Alderson
Wireless mesh networks (WMNs) are interconnected radio systems that provide untethered network connectivity for a group of users who require data, voice, and/or video communication. Because WMN devices require only a local power source, such as a battery or portable generator, they are well- suited to operations in austere environments such as combat and humanitarian assistance and/or disaster relief operations. Unfortunately, the wireless access medium of a WMN also makes it vulnerable to electromagnetic attack and interference (also known as ‘‘jamming’’). This paper combines game theory and network optimization to develop a computational technique for quickly designing WMNs that are resistant to the worst possible disruption from adversary jamming.
RESILIENT COURSE AND INSTRUCTOR SCHEDULING IN THE MATHEMATICS
DEPARTMENT AT THE UNITED STATES NAVAL ACADEMY
Stephen J. Ward, Joseph Foraker, and Nelson A. Uhan
Every semester, the Mathematics Department at the United States Naval Academy needs to schedule around 70 instructors and
150–180 course sections into 30 class periods and 30 rooms. We formulate a stochastic integer linear program that schedules these courses, instructors, and rooms. In addition to maximizing instructor preferences and room stability, our formulation minimizes the expected number of changes required in the schedule if a disruption were to occur, given a subjective probability distribution over a finite set of possible disruption scenarios. We run our model on a number of instances derived from actual data from the past three years and investigate the effect of emphasizing different parts of the objective function on the running time and resulting schedules.
A SOLVABLE MODEL OF HIERARCHICAL WORKFORCES EMPLOYED BY THE CANADIAN ARMED FORCES
Ross Diener
The rank structure of a military trade (or any hierarchical workforce) is dynamically tied to a number of factors such as time-in-rank constraints, attrition, and pro- motion rates. Turning one of these knobs can have nontrivial, long-term impact on the others. This is normally modeled using agent-based simulations or Markov models, such as the Occupational Structure Sustainability Model (OSSM) employed by the Canadian Armed Forces. This article presents an equivalent model of rank structure that is purely mathematical, and dis- cusses the advantages of this approach, namely flexibility and generalizability.
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