An optimization-based framework for modeling counterterrorism strategies

The paper introduces the subject of terrorism and counterterrorism by means of a two-person bimatrix game that provides some insight into the behavior of the two players. We then examine three important areas in counterterrorism tasks: the detection of terrorist cells and how to render them inoperable, the fortification of assets in order to protect them from terrorist attacks, and the optimal evacuation of people from an area affected by terrorism. Basic mathematical models are formulated and demonstrated. The paper concludes with some thoughts on potential extensions of the models presented here

An optimization-based framework for modeling counterterrorism strategies

The paper introduces the subject of terrorism and counterterrorism by means of a two-person bimatrix game that provides some insight into the behavior of the two players. We then examine three important areas in counterterrorism tasks: the detection of terrorist cells and how to render them inoperable, the fortification of assets in order to protect them from terrorist attacks, and the optimal evacuation of people from an area affected by terrorism. Basic mathematical models are formulated and demonstrated. The paper concludes with some thoughts on potential extensions of the models presented here

An optimization-based framework for modeling counterterrorism strategies

The paper introduces the subject of terrorism and counterterrorism by means of a two-person bimatrix game that provides some insight into the behavior of the two players. We then examine three important areas in counterterrorism tasks: the detection of terrorist cells and how to render them inoperable, the fortification of assets in order to protect them from terrorist attacks, and the optimal evacuation of people from an area affected by terrorism. Basic mathematical models are formulated and demonstrated. The paper concludes with some thoughts on potential extensions of the models presented here

Influence of a classical homogeneous gravitational field on dissipative dynamics of the Jaynes-Cummings model with phase damping

In this paper, we study the dissipative dynamics of the Jaynes-Cummings model with phase damping in the presence of a classical homogeneous gravitational field. The model consists of a moving two-level atom simultaneously exposed to the gravitational field and a single-mode traveling radiation field in the presence of the phase damping. We present a quantum treatment of the internal and external dynamics of the atom based on an alternative su(2) dynamical algebraic structure. By making use of the super-operator technique, we obtain the solution of the master equation for the density operator of the quantum system, under the Markovian approximation. Assuming that initially the radiation field is prepared in a Glauber coherent state and the two-level atom is in the excited state, we investigate the influence of gravity on the temporal evolution of collapses and revivals of the atomic population inversion, atomic dipole squeezing, atomic momentum diffusion, photon counting statistics and quadrature squeezing of the radiation field in the presence of phase damping.Comment: 25 pages, 15 figure

Competitive Facility Location along a Highway

We consider a competitive facility location problem with two players. Players alternate placing points, one at a time, into the playing arena, until each of them has placed n points. The arena is then subdivided according to the nearest-neighbor rule, and the player whose points control the larger area wins. We present a winning strategy for the second player, where the arena is a circle or a line segment. We also consider a variation where players can play more than one point at a time for the circle arena