Motivated by communication networks, we study a single-server queue with varying service rates and multiple customers' types. The difference between types of customers is defined by the profits ...contributed to the system. We show that the optimal trunk reservation policy exists and we compare the optimal control levels with different parameter values. Furthermore, when the optimal trunk reservation policy is more than one, we prove the uniqueness of the bias optimal policy.
A
bstract
We investigate a gauge extension of the Standard Model in light of the observed hints of lepton universality violation in
b
→
cℓν
and
b
→
sℓ
+
ℓ
−
decays at BaBar, Belle and LHCb. The model ...consists of an extended gauge group SU(2)
1
× SU(2)
2
× U(1)
Y
which breaks spontaneously around the TeV scale to the electroweak gauge group. Fermion mixing effects with vector-like fermions give rise to potentially large new physics contributions in flavour transitions mediated by
W
′ and
Z
′ bosons. This model can ease tensions in
B
-physics data while satisfying stringent bounds from flavour physics, and electroweak precision data. Possible ways to test the proposed new physics scenario with upcoming experimental measurements are discussed. Among other predictions, the ratios
R
M
= Γ(
B
→
M μ
+
μ
−
)
/
Γ(
B
→
Me
+
e
−
), with
M
=
K
*
, ϕ
, are found to be reduced with respect to the Standard Model expectation
R
M
≃ 1.
We study sterile neutrinos in an extension of the standard model, based on the gauge group
S
U
(3)
C
⊗
S
U
(3)
L
⊗
S
U
(3)
R
⊗
U
(1)
N
, and use this model to illustrate how to apply cosmological ...limits to thermalized particles that decouple while relativistic. These neutrinos,
N
a
L
, can be dark matter candidates, with a kiloelectron volt mass range arising rather naturally in this model. We analyse the cosmological limits imposed by
N
e
f
f
and dark matter abundance on these neutrinos. Assuming that these neutrinos have roughly equal masses and are not CDM, we conclude that the
N
e
f
f
experimental value can be satisfied in some cases and the abundance constraint implies that these neutrinos are hot dark matter. With this information, we give upper bounds on the Yukawa coupling between the sterile neutrinos and a scalar field, the possible values of the VEV of this scalar field and lower bounds to the mass of one gauge boson of the model.
In this article, we present a detailed study of the masses of all gauge
bosons, as well as explaing recent experimental data regarding the $W$-boson
mass presented by the CDF collaboration and even ...possible changes that these
data can bring to experimental measurements of the masses of $Z$-boson mass in
the context of the Minimal Supersymmetric $SU(3)_{C}\otimes SU(3)_{L}\otimes
U(1)_{N}$ Model. We also intend to show a phenomenological analysis of possible
mixtures of gauge bosons in this model. We will show that our numerical
predictions for the masses of the physical gauge bosons are within the current
experimental limits.
We analyze the boson masses and their mixing in the Minimal Supersymmetric
$SU(3)_{C}\otimes SU(3)_{L}\otimes U(1)_{N}$ Model, and we will show all the
numerical results are in agreement with actual ...current experimental limits.
We will study in details the scalar potential of the Supersymmetric
$SU(3)_{C}\otimes SU(3)_{L}\otimes U(1)_{N}$ Model where we introduce the
anti-sextet, and without the anti-sextet, in our analyses ...of all masses of the
usual scalar sector.
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