Optimal Placement of Detectors to Minimize Casualties in an Intentional Attack

Abstract

This study proposes a mathematical model to optimally locate a set of detectors in such a way that the expected number of casualties in a given threat area can be minimized. Detectors may not be perfectly reliable, which is often a function of how long an attacker would stay within the detectors effective detection radius. To accurately detect any threat event and to avoid any false alarm, we assume that a set of backup/secondary detectors are available to support the primary detectors. The problem is formulated as a nonlinear binary integer programming model and then solved as a linearized branchand-bound algorithm. A number of sensitivity analyses are performed to illustrate the robustness of the model and to draw key managerial insights. Experimental results reveal that a two-layer detection will significantly minimize the expected number of casualties in a threat area over a one-layer detection problem.

Electric vehicles fast charger location-routing problem under ambient temperature

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“…First, it would be interesting to see how the stochasticity associated with different input parameters (e.g., charging rate, customer demand) impact the EV DCFC LRP. Next, efforts will continue to develop rigorous techniques such as decomposition methods [8][9][10] to improve the quality of the solutions.…”

A Novel Decomposition Method for Two-stage Stochastic Port Management Problem

“…Some studies considered deep draft inland ports that are capable of handling deep draft vessels. The issues considered in those studies are barge and tow-boat routing and repositioning [1], berth layout design and allocation [2], port disruption [3,4], delays in locks and dams [5]. Other studies related to deep draft inland waterway ports include the consideration of port-specific economic analysis [6], optimal dredging scheduling and investment decisions [7], the efficiency of inland waterway container terminals [8], tug scheduling between seaport to inland ports [9], and few others.…”