Combinatorial Algorithms for the Unsplittable Flow Problem

We provide combinatorial algorithms for the unsplittable flow problem (UFP) that either match or improve the previously best results. In the UFP we are given a (possibly directed) capacitated graph with n vertices and m edges, and a set of terminal pairs each with its own demand and profit. The objective is to connect a subset of the terminal pairs each by a single flow path subject to the capacity constraints such that the total profit of the connected pairs is maximized.We consider three variants of the problem. First is the classical UFP in which the maximum demand is at most the minimum edge capacity. It was previously known to have an O(√m) approximation algorithm; the algorithm is based on the randomized rounding technique and its analysis makes use of the Chernoff bound and the FKG inequality.We provide a combinatorial algorithm that achieves the same approximation ratio and whose analysis is considerably simpler. Second is the extended UFP in which some demands might be higher than edge capacities. Our algorithm for this case improves the best known approximation ratio. We also give a lower bound that shows that the extended UFP is provably harder than the classical UFP. Finally, we consider the bounded UFP in which the maximum demand is at most 1/K times the minimum edge capacity for some K > 1. Here we provide combinatorial algorithms that match the currently best known algorithms. All of our algorithms are strongly polynomial and some can even be used in the online setting.     

Model-based low-level control in flexible manufacturing systems

Low-level (supervisory) control of flexible manufacturing systems (FMS) assures conflict-free operation and enforces production requirements such as priorities. It forms a crucial link between medium and higher-level decision making, on the one hand, and the various machine-controllers and servomechanisms on the other. In the absence of a suitable control methodology, ad hoc development is the current practice and compromised results at high cost are far too common. Here we described a model-based framework for a new, systematic approach to supervisory control.     

The Sales Tax Puzzle – Has the law of demand been repealed?

TRA86 removed the deductibility of state and local sales taxes from U.S. personal income taxes. This effectively increased the price to state governments of sales tax revenue relative to income tax revenues. This implies that state reliance on income taxes relative to sales taxes should have increased after TRA86 was implemented. Leading public finance economists investigated this in the period shortly following the reform and invariably found that the predicted substitution of income for sales taxes did not take place. In fact, several studies noted that state dependence on the sales tax increased relative to income taxes – hence the Sales Tax Puzzle. Several experts tried to rationalize their non-findings. These rationalizations are unconvincing. This paper asserts that the puzzle may be resolved in two different ways. The first, seemingly trivial, is that the analysis must incorporate sufficient time so as to allow for relatively complex adjustments. Our contributions here are to anchor this obvious point with a theoretical model related to earlier work of the authors, and an explicit empirical examination of the lag structures of individual states reactions to the comprehensive tax reform. The second demonstrates that the analysis must take into account regional shifts that were taking place in the U.S. during this period. When such compositional shifts involving political and deductibility patterns are explicitly introduced into the model, the paradoxical findings are resolved both in the long and in the short run. Our contribution here is a demonstration that the use of detailed state-level data, unlike any of the earlier work in this area, allows for the inclusion in the analysis of inter-regional shifts in various parameters. An additional contribution is the explicit use and emphasis of the propensity to itemize as an independent variable. The use of this variable ties this area of analysis of post tax reform behavior into a hitherto untapped strand of public-finance literature. The variable is both theoretically interesting, and proves to have experienced compositional shift patterns which help resolve the sales-tax puzzle paradox.     

A Hybrid AlGaInAs–Silicon Evanescent Amplifier

We report a hybrid AlGaInAs-silicon evanescent amplifier incorporating a silicon waveguide with a III-V gain medium. The optical mode of the hybrid amplifier is mostly confined to the silicon waveguide and evanescently coupled to the AlGaInAs quantum-well (QW) region where optical gain is provided by electrical current injection. These two different material systems are bonded by low-temperature oxygen plasma assisted wafer bonding at 300 degC. The fabricated device shows 13 dB of maximum chip gain with 11 dBm of output saturation power. Evanescent coupling allows a lower active region confinement factor to provide a higher saturation output power than amplifiers with centered QWs, which is important for applications that require linear amplification     

Geometric Bone Modeling: From Macro to Micro Structures

There is major interest within the bio-engineering community in developing accurate and non-invasive means for visualizing, modeling and analyzing bone micro-structures. Bones are composed of hierarchical bio-composite materials characterized by complex multi-scale structural geometry. The process of reconstructing a volumetric bone model is usually based upon CT/MRI scanned images. Meshes generated by current commercial CAD systems cannot be used for further modeling or analysis. Moreover, recently develop...     

Gram-negative enteric bacteremia in children in the Negev (1989-1994)

During 1989-1994, there were 322 episodes of Gram-negative enteric bacteremia in 308 children. The incidence increased from 31/100,000 in children younger than 15 years of age during 1989-1991, to 50/100,000 during 1992-1994. The most common pathogens were Klebsiella, E. Coli, Salmonella and Enterobacter. 39% of episodes were nosocomial and a significant increase was recorded for each species during the last 3 years of the study. Klebsiella represented the most common pathogen causing nosocomial bacteremia, while E. coli and Salmonella were the main pathogens causing community-acquired bacteremia. In this study in southern Israel, the incidence of Gram-negative enteric bacteremia was significantly higher in Bedouin children, with the exception of bacteremia due to Salmonella, which occurred mainly in Jewish children.     

Electing a leader in a ring with link failures

Summary We investigate the message complexity of electing a leader in a ring of asynchronous processors. Our work deviates from the previous works on electing a leader in that we consider the effect of link failures. A link is said to fail if some message sent through it never reaches its destination. We distinguish the case where n is known from the case n unknown. Our main result is a O(n · log n) algorithm for electing a leader on a n-processor ring (the case n is known).     

Acute stroke after coronary angiography associated with protruding mobile thoracic aortic atheromas

We describe two patients who developed acute embolic stroke immediately after coronary catheterization for unstable angina. Transesophageal echocardiography (TEE) and spiral CT of the chest revealed protruding floating atheromas within the aortic arch. These cases of stroke immediately after coronary catheterization suggest that protruding floating atheromas of the thoracic aorta place patients at risk for stroke. TEE or CT might predict a risk of stroke in such patients.