623 research outputs found
Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic
We consider the problem of scheduling a queueing system in which many
statistically identical servers cater to several classes of impatient
customers. Service times and impatience clocks are exponential while arrival
processes are renewal. Our cost is an expected cumulative discounted function,
linear or nonlinear, of appropriately normalized performance measures. As a
special case, the cost per unit time can be a function of the number of
customers waiting to be served in each class, the number actually being served,
the abandonment rate, the delay experienced by customers, the number of idling
servers, as well as certain combinations thereof. We study the system in an
asymptotic heavy-traffic regime where the number of servers n and the offered
load r are simultaneously scaled up and carefully balanced: n\approx r+\beta
\sqrtr for some scalar \beta. This yields an operation that enjoys the benefits
of both heavy traffic (high server utilization) and light traffic (high service
levels.
Holistic assessment of call centre performance
In modern call centres 60–70% of the operational costs come in the form of the human agents who take the calls. Ensuring that the call centre operates at lowest cost and maximum efficiency involves a trade‐off of the cost of agents against lost revenue and increased customer dissatisfaction due to lost calls. Modelling the performance characteristics of a call centre in terms of the agent queue alone misses key performance influencers, specifically the interaction between channel availability at the media gateway and the time a call is queued. A blocking probability at the media gateway, as low as 0.45%, has a significant impact on the degree of queuing observed and therefore the cost and performance of the call centre. Our analysis also shows how abandonment impacts queuing delay. However, the call centre manager has less control over this than the level of contention at the media gateway. Our commercial assessment provides an evaluation of the balance between abandonment and contention, and shows that the difference in cost between the best and worst strategy is £130K per annum, however this must be balanced against a possible additional £2.98 m exposure in lost calls if abandonment alone is used
Constraining dark matter halo properties using lensed SNLS supernovae
This paper exploits the gravitational magnification of SNe Ia to measure
properties of dark matter haloes. The magnification of individual SNe Ia can be
computed using observed properties of foreground galaxies and dark matter halo
models. We model the dark matter haloes of the galaxies as truncated singular
isothermal spheres with velocity dispersion and truncation radius obeying
luminosity dependent scaling laws. A homogeneously selected sample of 175 SNe
Ia from the first 3-years of the Supernova Legacy Survey (SNLS) in the redshift
range 0.2 < z < 1 is used to constrain models of the dark matter haloes
associated with foreground galaxies. The best-fitting velocity dispersion
scaling law agrees well with galaxy-galaxy lensing measurements. We further
find that the normalisation of the velocity dispersion of passive and star
forming galaxies are consistent with empirical Faber-Jackson and Tully-Fisher
relations, respectively. If we make no assumption on the normalisation of these
relations, we find that the data prefer gravitational lensing at the 92 per
cent confidence level. Using recent models of dust extinction we deduce that
the impact of this effect on our results is very small. We also investigate the
brightness scatter of SNe Ia due to gravitational lensing. The gravitational
lensing scatter is approximately proportional to the SN Ia redshift. We find
the constant of proportionality to be B = 0.055 +0.039 -0.041 mag (B < 0.12 mag
at the 95 per cent confidence level). If this model is correct, the
contribution from lensing to the intrinsic brightness scatter of SNe Ia is
small for the SNLS sample.Comment: 11 pages, 7 figures, accepted for publication in MNRA
The WiggleZ Dark Energy Survey: Direct constraints on blue galaxy intrinsic alignments at intermediate redshifts
Correlations between the intrinsic shapes of galaxy pairs, and between the
intrinsic shapes of galaxies and the large-scale density field, may be induced
by tidal fields. These correlations, which have been detected at low redshifts
(z<0.35) for bright red galaxies in the Sloan Digital Sky Survey (SDSS), and
for which upper limits exist for blue galaxies at z~0.1, provide a window into
galaxy formation and evolution, and are also an important contaminant for
current and future weak lensing surveys. Measurements of these alignments at
intermediate redshifts (z~0.6) that are more relevant for cosmic shear
observations are very important for understanding the origin and redshift
evolution of these alignments, and for minimising their impact on weak lensing
measurements. We present the first such intermediate-redshift measurement for
blue galaxies, using galaxy shape measurements from SDSS and spectroscopic
redshifts from the WiggleZ Dark Energy Survey. Our null detection allows us to
place upper limits on the contamination of weak lensing measurements by blue
galaxy intrinsic alignments that, for the first time, do not require
significant model-dependent extrapolation from the z~0.1 SDSS observations.
Also, combining the SDSS and WiggleZ constraints gives us a long redshift
baseline with which to constrain intrinsic alignment models and contamination
of the cosmic shear power spectrum. Assuming that the alignments can be
explained by linear alignment with the smoothed local density field, we find
that a measurement of \sigma_8 in a blue-galaxy dominated, CFHTLS-like survey
would be contaminated by at most +/-0.02 (95% confidence level, SDSS and
WiggleZ) or +/-0.03 (WiggleZ alone) due to intrinsic alignments. [Abridged]Comment: 18 pages, 12 figures, accepted to MNRAS; v2 has correction to one
author's name, NO other changes; v3 has minor changes in explanation and
calculations, no significant difference in results or conclusions; v4 has an
additional footnote about model interpretation, no changes to
data/calculations/result
Testing a simple recipe for estimating galaxy masses from minimal observational data
The accuracy and robustness of a simple method to estimate the total mass
profile of a galaxy is tested using a sample of 65 cosmological
zoom-simulations of individual galaxies. The method only requires information
on the optical surface brightness and the projected velocity dispersion
profiles and therefore can be applied even in case of poor observational data.
In the simulated sample massive galaxies ( \kms) at
redshift have almost isothermal rotation curves for broad range of radii
(RMS for the circular speed deviations from a constant value over
). For such galaxies the method recovers the
unbiased value of the circular speed. The sample averaged deviation from the
true circular speed is less than with the scatter of
(RMS) up to . Circular speed estimates of massive
non-rotating simulated galaxies at higher redshifts ( and ) are also
almost unbiased and with the same scatter. For the least massive galaxies in
the sample ( \kms) at the RMS deviation is
and the mean deviation is biased low by about . We also derive the
circular velocity profile from the hydrostatic equilibrium (HE) equation for
hot gas in the simulated galaxies. The accuracy of this estimate is about RMS
for massive objects () and the HE
estimate is biased low by , which can be traced to the presence of
gas motions. This implies that the simple mass estimate can be used to
determine the mass of observed massive elliptical galaxies to an accuracy of
and can be very useful for galaxy surveys.Comment: 15 pages, 14 figures, 1 tabl
Probing Orientifold Behavior Near NS Branes
The effect of NS 5 branes on an orientifold is studied. The orientifold is
allowed to pass through a pile of k NS branes forming a regularized CHS
geometry. Its effect on open strings in its vicinity is used to study the
change in the orientifold charge induced by the NS branes.Comment: Important references added, 30 pages, 8 figure
Missing Dark Matter in the Local Universe
A sample of 11 thousand galaxies with radial velocities V_ LG < 3500 km/s is
used to study the features of the local distribution of luminous (stellar) and
dark matter within a sphere of radius of around 50 Mpc around us. The average
density of matter in this volume, Omega_m,loc=0.08+-0.02, turns out to be much
lower than the global cosmic density Omega_m,glob=0.28+-0.03. We discuss three
possible explanations of this paradox: 1) galaxy groups and clusters are
surrounded by extended dark halos, the major part of the mass of which is
located outside their virial radii; 2) the considered local volume of the
Universe is not representative, being situated inside a giant void; and 3) the
bulk of matter in the Universe is not related to clusters and groups, but is
rather distributed between them in the form of massive dark clumps. Some
arguments in favor of the latter assumption are presented. Besides the two
well-known inconsistencies of modern cosmological models with the observational
data: the problem of missing satellites of normal galaxies and the problem of
missing baryons, there arises another one - the issue of missing dark matter.Comment: 19 pages, 7 figures, 1 table (accepted
Dark energy constraints from cosmic shear power spectra: impact of intrinsic alignments on photometric redshift requirements
Cosmic shear constrains cosmology by exploiting the apparent alignments of
pairs of galaxies due to gravitational lensing by intervening mass clumps.
However galaxies may become (intrinsically) aligned with each other, and with
nearby mass clumps, during their formation. This effect needs to be
disentangled from the cosmic shear signal to place constraints on cosmology. We
use the linear intrinsic alignment model as a base and compare it to an
alternative model and data. If intrinsic alignments are ignored then the dark
energy equation of state is biased by ~50 per cent. We examine how the number
of tomographic redshift bins affects uncertainties on cosmological parameters
and find that when intrinsic alignments are included two or more times as many
bins are required to obtain 80 per cent of the available information. We
investigate how the degradation in the dark energy figure of merit depends on
the photometric redshift scatter. Previous studies have shown that lensing does
not place stringent requirements on the photometric redshift uncertainty, so
long as the uncertainty is well known. However, if intrinsic alignments are
included the requirements become a factor of three tighter. These results are
quite insensitive to the fraction of catastrophic outliers, assuming that this
fraction is well known. We show the effect of uncertainties in photometric
redshift bias and scatter. Finally we quantify how priors on the intrinsic
alignment model would improve dark energy constraints.Comment: 14 pages and 9 figures. Replaced with final version accepted in
"Gravitational Lensing" Focus Issue of the New Journal of Physics at
http://www.iop.org/EJ/abstract/1367-2630/9/12/E0
The Whole is Greater than the Sum of the Parts: Optimizing the Joint Science Return from LSST, Euclid and WFIRST
The focus of this report is on the opportunities enabled by the combination
of LSST, Euclid and WFIRST, the optical surveys that will be an essential part
of the next decade's astronomy. The sum of these surveys has the potential to
be significantly greater than the contributions of the individual parts. As is
detailed in this report, the combination of these surveys should give us
multi-wavelength high-resolution images of galaxies and broadband data covering
much of the stellar energy spectrum. These stellar and galactic data have the
potential of yielding new insights into topics ranging from the formation
history of the Milky Way to the mass of the neutrino. However, enabling the
astronomy community to fully exploit this multi-instrument data set is a
challenging technical task: for much of the science, we will need to combine
the photometry across multiple wavelengths with varying spectral and spatial
resolution. We identify some of the key science enabled by the combined surveys
and the key technical challenges in achieving the synergies.Comment: Whitepaper developed at June 2014 U. Penn Workshop; 28 pages, 3
figure
Quadruple-peaked spectral line profiles as a tool to constrain gravitational potential of shell galaxies
Stellar shells observed in many giant elliptical and lenticular as well as a
few spiral and dwarf galaxies, presumably result from galaxy mergers.
Line-of-sight velocity distributions of the shells could, in principle, if
measured with a sufficiently high S/N, constitute one of methods to constrain
the gravitational potential of the host galaxy. Merrifield & Kuijken (1998)
predicted a double-peaked line profile for stationary shells resulting from a
nearly radial minor merger. In this paper, we aim at extending their analysis
to a more realistic case of expanding shells, inherent to the merging process,
whereas we assume the same type of merger and the same orbital geometry. We use
analytical approach as well as test particle simulations to predict the
line-of-sight velocity profile across the shell structure. Simulated line
profiles are convolved with spectral PSFs to estimate the peak detectability.
The resulting line-of-sight velocity distributions are more complex than
previously predicted due to non-zero phase velocity of the shells. In
principle, each of the Merrifield & Kuijken (1998) peaks splits into two,
giving a quadruple-peaked line profile, which allows more precise determination
of the potential of the host galaxy and, moreover, contains additional
information. We find simple analytical expressions that connect the positions
of the four peaks of the line profile and the mass distribution of the galaxy,
namely the circular velocity at the given shell radius and the propagation
velocity of the shell. The analytical expressions were applied to a
test-particle simulation of a radial minor merger and the potential of the
simulated host galaxy was successfully recovered. The shell kinematics can thus
become an independent tool to determine the content and distribution of the
dark matter in shell galaxies, up to ~100 kpc from the center of the host
galaxy.Comment: 15 pages, 16 figures | v2: accepted for publication in A&A, minor
language correction
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