Defence resource distribution between protection and decoys for constant resource stockpiling pace

The paper considers the optimal resource distribution between increasing protection of genuine elements and deploying decoys (false targets) in a situation when the attacker's and defender's resources are stockpiling and the resource increment rate is constant. It is assumed that the system must perform within an exogenously given time horizon and the attack time probability is uniformly distributed over this horizon. Series and parallel systems are considered. The defender optimizes the resource distribution in order to minimize the system vulnerability. The attacker cannot distinguish genuine and false elements and can attack a randomly chosen subset of the elements.     

Endogenizing the sticks and carrots: modeling possible perverse effects of counterterrorism measures

We present a novel model capable of distinguishing between the effects of negative incentives (“sticks”) and positive incentives (“carrots”) for influencing the behavior of intelligent and adaptable adversaries. Utilities are developed for the defender and the terrorist. The defender is assumed to have a unit cost of defense, and unit costs of providing negative and positive incentives. The terrorist likewise has a unit cost of attack, which may either increase or decrease if the defender provides negative incentives, and enjoys a unit benefit of positive incentives. We show that the potential for perverse effects of counterterrorism (e.g., the emergence of hatred) can cause defenders to rely on positive incentives and decrease their reliance on negative incentives at equilibrium, with use of negative incentives completely eliminated in situations where these would be moderately effective when applied. With low potential for perverse effects of counterterrorism, the defender should rely on effective negative incentives.     

Defending against multiple different attackers

One defender defends, and multiple heterogeneous attackers attack, an asset. Three scenarios are considered: the agents move simultaneously; the defender moves first; or the attackers move first. We show how the agents’ unit costs of defense and attack, their asset evaluations, and the number of attackers influence their investments, profits, and withdrawal decisions. Withdrawal does not occur in one-period (simultaneous) games between two agents, at least with the commonly used ratio-form contest success function, but can occur in two-period games between two agents. The presence of one particularly strong attacker can cause other attackers to withdraw from the contest if the advantaged attacker appropriates so much of the defender’s asset that it is no longer sufficiently attractive to interest other attackers. In such cases, the defender focuses exclusively on the strong attacker. An advantaged defender may be able to deter attacks by moving first, but will continue to suffer from attacks if moving second. This suggests the importance of proactive rather than reactive defense.     

Individual versus overarching protection and attack of assets

Two agents protect and attack a collection of assets overarchingly versus individually. Examples of overarching protection are border security, counter intelligence, and public health measures. Both layers of protection have to be breached for an attack to be successful. We consider a simultaneous game, and a two period game with overarching contest in period 1 and individual contests in period 2 if the attacker wins period 1. With reasonable assumptions, such as contest intensities not exceeding one, the defender prefers two protection layers, while the attacker prefers one protection layer. When the unit effort costs of overarching protection and attack are equal, and the agents’ valuations for each asset are equal, in the simultaneous game defender and attacker efforts are equal in the overarching contest. In contrast, for the two period game, the defender invests more than the attacker in the overarching contest to prevent the occurrence of period 2. If the attacker nevertheless wins period 1, both agents exert larger efforts in period 2 compared with the individual contests in the simultaneous game. Framed within the Colonel Blotto literature, the attacker must win the first battlefield (overarching contest) in order to engage in the contests over the n other battlefields (individual contests).     

Hydroisomerization of n -decane over bifunctional Pt-HBEA zeolite. Effect of the proximity between the acidic and hydrogenating sites

The transformation of n-decane was carried out on bifunctional Pt-HBEA catalysts obtained either by exchange of the HBEA zeolite with Pt, or by mixing various amounts of the HBEA zeolite with a Pt-impregnated alumina. Pt-exchanged HBEA was the most selective catalyst for n-decane isomerisation, which can be explained by a better proximity between acidic and hydrogenating sites and by a fast desorption of monobranched isomers through the small crystallites of the HBEA zeolite.     

Noise performance of multiplexed fiber-optic sensor systems with optical amplifiers

The signal to noise ratio (SNR) of a multiplexed fiber-optic sensor network can be improved by inserting fiber-optic amplifiers. Several configurations of amplifiers in the sensor network are analyzed. A single fiber-optic amplifier used as a preamplifier is a good solution with high SNR. However, by distributing amplifiers in the network even higher SNR can be obtained, and identical couplers can be used throughout the network.     

Structure–property transition‐state model for the copolymerization of ethene and 1‐hexene with experimental and theoretical applications to novel disilylene‐bridged zirconocenes

Ethene homopolymerization and copolymerization with 1‐hexene were performed with three new tetramethyldisilylene‐bridged zirconocene catalysts with 2‐indenyl ligand ( A ), 2‐tetrahydroindenyl ligand ( B ), and tetramethyl‐cyclopentadienyl ligand ( C ) and with methylaluminoxane as a cocatalyst. Catalysts A and B showed substantial comonomer incorporation, resulting in a copolymer melting temperature more than 20° lower than that of the corresponding homopolymer. In contrast, catalyst C produced a copolymer with a low 1‐hexene content and a high melting temperature. The reduction in the molecular weight with 1‐hexene addition also correlated well with the comonomer incorporation. For all three catalysts, the homopolymer and copolymer unsaturations indicated frequent chain termination after 1‐hexene insertion and a high degree of chain‐end isomerization during the homopolymerization of ethene. The chain transfer to Al in the cocatalyst also appeared to be important. The comonomer response could be correlated with the structural properties of the catalyst, as derived from quantum chemical calculations. A linear model, calibrated against recent experiments with unbridged (Me_nC₅H_5?n)₂ZrCl₂ catalysts, suggested that the low comonomer incorporation obtained with catalyst C was caused partly by a narrow opening angle between the aromatic ligands and partly by steric hindrance in the transition state of comonomer insertion. © 2003 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 41: 1622–1631, 2003     

Numerical Simulations of the Sandia Flame D Using the Eddy Dissipation Concept

A turbulent piloted methane/air diffusion flame (Sandia Flame D) is calculated using both compressible Reynolds-averaged and large-eddy simulations (RAS and LES, respectively). The Eddy Dissipation Concept (EDC) is used for the turbulence-chemistry interaction, which assumes that molecular mixing and the subsequent combustion occur in the fine structures (smaller dissipative eddies, which are close to the Kolmogorov length scales). Assuming the full turbulence energy cascade, the characteristic length and velocity scales of the fine structures are evaluated using a standard k- ?? turbulence model for RAS and a one-equation eddy-viscosity sub-grid scale model for LES. Finite-rate chemical kinetics are taken into account by treating the fine structures as constant pressure and adiabatic homogeneous reactors (calculated as a system of ordinary-differential equations (ODEs)) described by a Perfectly Stirred Reactor (PSR) concept. A robust implicit Runge-Kutta method (RADAU5) is used for integrating stiff ODEs to evaluate reaction rates. The radiation heat transfer is treated by the P1-approximation. The assumed β-PDF approach is applied to assess the influence of modeling of the turbulence-chemistry interaction. Numerical results are compared with available experimental data. In general, there is good agreement between present simulations and measurements both for RAS and LES, which gives a good indication on the adequacy and accuracy of the method and its further application for turbulent combustion simulations.     

A revisit to the bending problem of a thin elliptic aelotropic plate with simply supported edge and uniform lateral load

The complex solution method of Okubo for the deflection of a thin circular aelotropic plate with simply supported edge and uniform lateral load was extended to an elliptic plate by Ohasi. In his work however several inconsistencies appear, of which at least one disqualifies a central part. From a revisit to the works of Okubo and Ohasi a new solution for the deflection of a thin elliptic aelotropic plate with simply supported edge and uniform lateral load emerged. The solution is a generalisation of Okubo’s solution and is valid for any angle between material and geometric principal axes. Previously known solutions, including those for circular plates, are reproduced as special cases of the new solution and results of numerical calculations in new situations appear reasonable.