Pricing and congestion management in a network with heterogeneous users

This note presents an economic model for a communication network with utility-maximizing elastic users who adapt to congestion by adjusting their flows. Users are heterogeneous with respect to both the utility they attach to different levels of flow and their sensitivity to delay. Following Kelly et al. (1998), we introduce dynamic rate-control algorithms, based on the users' utility functions and delay sensitivities, as well as tolls charged by the system, and examine the behavior of these algorithms. We show that allowing heterogeneity with respect to delay sensitivity introduces a fundamental nonconvexity into the congestion-cost functions. As a result, there are often multiple stationary points of the aggregate net utility function. Hence, marginal-cost pricing-equating users' marginal utilities to their marginal costs-may identify a local maximum or even a saddle point, rather than a global maximum. Moreover, the dynamic rate-control algorithm may converge to a local rather than global maximum, depending on the starting point. We present examples with different user utility functions, including some in which the only interior stationary point is a saddlepoint which is dominated by all the single-user optimal allocations. We also consider variants of the dynamic algorithm and their performance in a network with heterogeneous users. Our results suggest that applying a rate-control algorithm such as TCP (Transmission Control Protocol), even when augmented by some form of implicit or explicit pricing, may have unexpected and perhaps undesirable effects on the allocation of flows among heterogeneous delay-sensitive users.     

Microstructural Changes in Wood Plastic Composites Due to Wetting and Re-drying Evaluated by X-ray Microtomography

An extruded wood polypropylene composite subjected to soaking-drying cycles in distilled water was investigated nondestructively using an X-ray microtomography. The representative elementary volumes of the material were examined and discussed using means/median of image intensity values and void contents in 3D XMT images. A 2 mm cube was determined as the representative elementary volume for this material. There were some differences for means in the dry, wet, and re-dried states. The specimen cutting position, i.e., surface or core, affects the results because there was a “resin rich/glazed” surface layer formed during extrusion and the WPPC material had a larger scale heterogeneity, which relates to the difference in flow rate between the core and face of a die. The void contents of re-dried specimens were higher than those of dry specimens.     

Human vestibular schwannoma growth in the nude mouse: evaluation of a modified subcutaneous implantation model

HYPOTHESIS: Based on the hypothesis that vestibular schwannomas can be successfully implanted and grown in the nude mouse model, an in vivo experiment was designed for subcutaneous implantation of solid vestibular schwannoma tissue. BACKGROUND: Vestibular schwannomas are benign tumors arising from Schwann cells of cranial nerve VIII. Little in vivo research has been carried out with these tumors, due in part to the difficulty to grow cells in culture or maintain tumor in an animal model. Recently, vestibular schwannomas have been implanted in nude mice with moderate success. The current study evaluates a modification of prior techniques in an effort to establish a dependable research model. METHODS: Thirty-six nude mice were implanted with variable-sized vestibular schwannoma tissue from three human subjects. Volumes implanted ranged from 14-170 mm3. Mice were observed for 28 days and individual volumes recalculated. Eleven of the mice were observed for a total of 56 days with volumes re-evaluated, and tumors subsequently were removed for assessment of viability and vascularity. RESULTS: At 28 days, 36 tumors (100%) showed take with 34 tumors (94%) showing macroscopic growth. The 11 tumors observed for 56 days showed a trend of stable or decreased size at 56 days compared with that of the 28-day measurement. Overall growth from time of implantation to measurements at 56 days was noted in 8 (73%) of 11 tumors when measured at the skin and in 10 (91%) of 11 tumors when direct tumor volume was measured. One hundred percent of tumors evaluated microscopically at 56 days was viable. All tumors at the time of removal had significant vascularity with a mean of 70.68% (SD = 23.42) of surface covered with vessels. There were no significant differences in take and growth for the larger tumor specimens compared with those of smaller sizes. CONCLUSION: Human vestibular schwannomas successfully can be implanted and maintained in the subcutaneous pocket of the nude mouse. This in vivo tumor model provides a reliable, accessible base for further research with vestibular schwannomas.     

Quantification of intermediate-abundance proteins in serum by multiple reaction monitoring mass spectrometry in a single-quadrupole ion trap

A method is presented to quantify intermediate-abundance proteins in human serum using a single-quadrupole linear ion trap mass spectrometer-in contrast, for example, to a triple-quadrupole mass spectrometer. Stable-isotope-labeled (tryptic) peptides are spiked into digested protein samples as internal standards, aligned with the traditional isotope dilution approach. As a proof-of-concept experiment, four proteins of intermediate abundance were selected, coagulation factor V, adiponectin, C-reactive protein (CRP), and thyroxine binding globulin. Stable-isotope-labeled peptides were synthesized with one tryptic sequence from each of these proteins. The normal human serum concentration ranges of these proteins are from 1 to 30 microg/mL (or 20 to 650 pmol/mL). These labeled peptides and their endogenous counterparts were analyzed by LC-MS/MS using multiple reaction monitoring, a multiplexed form of the selected reaction monitoring technique. For these experiments, only one chromatographic dimension (on-line reversed-phase capillary column) was used. Improved limits of detection will result with multidimensional chromatographic methods utilizing more material per sample. Standard curves of the spiked calibrants were generated with concentrations ranging from 3 to 700 pmol/mL using both neat solutions and peptides spiked into the complex matrix of digested serum protein solution where ion suppression effects and interferences are common. Endogenous protein concentrations were determined by comparing MS/MS peak areas of the endogenous peptides to the isotopically labeled internal calibrants. The derived concentrations from a normal human serum pool (neglecting loss of material during sample processing) were 9.2, 110, 120, and 246 pmol/mL for coagulation factor V, adiponectin, CRP, and thyroxine binding globulin, respectively. These concentrations generally agree with the reported normal ranges for these proteins. As a measure of analytical reproducibility of this single-quadrupole assay, the coefficients of variance based on 12 repeated measurements for each of the endogenous tryptic peptides were 17.0, 25.4, 24.2, and 14.0% for coagulation factor V, adiponectin, CRP, and thyroxine binding globulin, respectively.     

Sample-path analysis of stochastic discrete-event systems

This paper presents a unified sample-path approach for deriving distribution-free relations between performance measures for stochastic discrete-event systems extending previous results for discrete-state processes to processes with a general state space. A unique feature of our approach is that all our results are shown to follow from a single fundamental theorem: the sample-path version of the renewal-reward theorem (Y=X). As an elementary consequence of this theorem, we derive a version of the rate-conservation law under conditions more general than previously given in the literature. We then focus on relations between continuous-time state frequencies and frequencies at the points of an imbedded point process, giving necessary and sufficient conditions for theASTA (Arrivals See Time Averages), conditionalASTA, and reversedASTA properties. In addition, we provide a unified approach for proving various relations involving forward and backward recurrence times. Finally, we give sufficient conditions for rate stability of an input-output system and apply these results to obtain an elementary proof of the relation between the workload and attained-waiting-time processes in aG/G/l queue.Research was partially supported by the National Science Foundation under Grant no. DDM-8719825. The government of the United States of America has certain rights in this material. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. The research of this author was also partially supported by a grant from Centre International des Étudiants et Stagiares (C.I.E.S.) while he was visiting INRIA, Sophia-Antipolis, Valbonne, France (1991–92).     

Moisture movement in wood polypropylene composites

Moisture movement in an extruded wood polypropylene composite was evaluated by exposure to high humidity and immersion of the material in both fresh and seawater. The saturation moisture content was approximately 20 and 19% when exposed to distilled water and seawater, respectively. The moisture diffusion coefficient (D _m) of thin specimens exposed to high humidity was 3.4?×?10^?8?cm² $ / $ s. The D _m of small cubic specimens with extruded surfaces removed submerged in distilled water and seawater were estimated to be 3.1 and 2.3?×?10^?8?cm² $ / $ s, respectively. Use of these diffusion coefficients overestimates the rate of moisture movement in larger extrusion profiles indicating the role of transport phenomenon other than diffusion.     

Quantification of proteins and metabolites by mass spectrometry without isotopic labeling or spiked standards

A new method is presented for quantifying proteomic and metabolomic profile data by liquid chromatography-mass spectrometry (LC-MS) with electrospray ionization. This biotechnology provides differential expression measurements and enables the discovery of biological markers (biomarkers). Work presented here uses human serum but is applicable to any fluid or tissue. The approach relies on linearity of signal versus molecular concentration and reproducibility of sample processing. There is no use of isotopic labeling or chemically similar standard materials. Linear standard curves are reported for a variety of compounds introduced into human serum. As a measure of analytical reproducibility for proteome and metabolome sampling, median coefficients of variation of 25.7 and 23.8%, respectively, were determined for approximately 3400 molecular ions (not counting their numerous isotopes) from 25 independently processed human serum samples, corresponding to a total of 85000 individual molecular ion measurements.     

Optimal flow control of a stochastic fluid-flow system

This paper is concerned with the optimal flow control of an ATM switching element in a broadband-integrated services digital network. We model the switching element as a stochastic fluid-flow system with a finite buffer, a constant output rate, and Markov-modulated fluid input. There is a cost of holding fluid and a reward for admitting the fluid to the buffer. We study the optimal flow control policies that minimize the fetal expected discounted cost. We analyze the problem by two different approaches and show that the optimal policy is of the turnpike type with the turnpike levels dependent on the states of the Markov-modulated source. We also state sufficient conditions under which the optimal turnpike levels are monotonic functions of the states of the Markov-modulated source     

Reliability-based layout optimization in offshore wind energy systems

Existing methods for optimizing wind array layouts typically use power or cost objectives and rarely consider reliability-based objectives. Component and system failure rates, however, are dependent on location-specific wind conditions, are influenced by array layout and wake interactions, and have a direct and significant impact on capital costs, operational costs, and power production. Although wind power plant models exist that calculate wind loads with sufficient resolution to capture component loading dynamics from wind conditions, they are computationally expensive and thus not suitable for research applications requiring many evaluations, particularly optimization. This study describes the development of computationally efficient, reliability-based layout optimization methods, enabling us to explore the relationship between component reliability and layout optimization. These methods include the surrogate modeling of the planet bearing life based on varying wind conditions simulated in FAST.Farm and the formulation of reliability-based objectives based on failure cost and power production models. Through demonstration of this method, we explore how wind conditions, objective functions, and capacity density influence reliability-based layout optimization. Results indicate that considering reliability alongside power production can reduce failure costs associated with replacement costs and downtime whilemaintaining or improving power production. Our conclusions highlight the opportunity for wind power plant developers to integrate reliability and operational expenditures alongside performance and capital expenditure objectives in plant design and development to improve plant performance and costs.