128 research outputs found
Dinkelbach Approach to Solving a Class of Fractional Optimal Control Problems
We consider optimal control problems with functional given by the ratio of
two integrals (fractional optimal control problems). In particular, we focus on a special
case with affine integrands and linear dynamics with respect to state and control.
Since the standard optimal control theory cannot be used directly to solve a problem
of this kind, we apply Dinkelbach’s approach to linearize it. Indeed, the fractional optimal
control problem can be transformed into an equivalent monoparametric family
{ P q } of linear optimal control problems. The special structure of the class of problems
considered allows solving the fractional problem either explicitly or requiring
straightforward classical numerical techniques to solve a single equation. An application
to advertising efficiency maximization is presented
Necessary Optimality Conditions for Higher-Order Infinite Horizon Variational Problems on Time Scales
We obtain Euler-Lagrange and transversality optimality conditions for
higher-order infinite horizon variational problems on a time scale. The new
necessary optimality conditions improve the classical results both in the
continuous and discrete settings: our results seem new and interesting even in
the particular cases when the time scale is the set of real numbers or the set
of integers.Comment: This is a preprint of a paper whose final and definite form will
appear in Journal of Optimization Theory and Applications (JOTA). Paper
submitted 17-Nov-2011; revised 24-March-2012 and 10-April-2012; accepted for
publication 15-April-201
N=8 SCFT and M Theory on AdS_4 x RP^7
We study M theory on AdS_4 \times \RP^7 corresponding to 3 dimensional
superconformal field theory which is the strong coupling limit of
3 dimensional super Yang-Mills theory. For SU(N) theory, a wrapped M5 brane on
\RP^5 can be interpreted as baryon vertex. For theory, by
using the property of (co-)homology of \RP^7, we classify various wrapping
branes and consider domain walls and the baryon vertex.Comment: 17 pages, Changed baryon like operator as M5 branes in M theory
rather than D6 brane in IIA theory. To appear in Phys.Rev.
de Sitter String Vacua from Supersymmetric D-terms
We propose a new mechanism for obtaining de Sitter vacua in type IIB string
theory compactified on (orientifolded) Calabi-Yau manifolds similar to those
recently studied by Kachru, Kallosh, Linde and Trivedi (KKLT). dS vacuum
appears in KKLT model after uplifting an AdS vacuum by adding an anti-D3-brane,
which explicitly breaks supersymmetry. We accomplish the same goal by adding
fluxes of gauge fields within the D7-branes, which induce a D-term potential in
the effective 4D action. In this way we obtain dS space as a spontaneously
broken vacuum from a purely supersymmetric 4D action. We argue that our
approach can be directly extended to heterotic string vacua, with the dilaton
potential obtained from a combination of gaugino condensation and the D-terms
generated by anomalous U(1) gauge groups.Comment: 17 pages, 1 figur
Average flow constraints and stabilizability in uncertain production-distribution systems
We consider a multi-inventory system with controlled flows and uncertain demands (disturbances) bounded within assigned compact sets. The system is modelled as a first-order one integrating the discrepancy between controlled flows and demands at different sites/nodes. Thus, the buffer levels at the nodes represent the system state. Given a long-term average demand, we are interested in a control strategy that satisfies just one of two requirements: (i) meeting any possible demand at each time (worst case stability) or (ii) achieving a predefined flow in the average (average flow constraints). Necessary and sufficient conditions for the achievement of both goals have been proposed by the authors. In this paper, we face the case in which these conditions are not satisfied. We show that, if we ignore the requirement on worst case stability, we can find a control strategy driving the expected value of the state to zero. On the contrary, if we ignore the average flow constraints, we can find a control strategy that satisfies worst case stability while optimizing any linear cost on the average control. In the latter case, we provide a tight bound for the cost
Stochastic programming approaches to stochastic scheduling
Practical scheduling problems typically require decisions without full information about the outcomes of those decisions. Yields, resource availability, performance, demand, costs, and revenues may all vary. Incorporating these quantities into stochastic scheduling models often produces diffculties in analysis that may be addressed in a variety of ways. In this paper, we present results based on stochastic programming approaches to the hierarchy of decisions in typical stochastic scheduling situations. Our unifying framework allows us to treat all aspects of a decision in a similar framework. We show how views from different levels enable approximations that can overcome nonconvexities and duality gaps that appear in deterministic formulations. In particular, we show that the stochastic program structure leads to a vanishing Lagrangian duality gap in stochastic integer programs as the number of scenarios increases.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/44935/1/10898_2004_Article_BF00121682.pd
Non-commutative Branes from M-theory
The analysis of the worldvolume effective actions of the M-theory
Kaluza-Klein monopole and 9-brane suggests that it should be possible to
describe non-abelian configurations of M2-branes or M5-branes if the M2-branes
are transverse to the eleventh direction and the M5-branes are wrapped on it.
This is determined by the fact that the Kaluza-Klein monopole and the M9-brane
are constrained to move in particular isometric spacetimes. We show that the
same kind of situation is implied by the analysis of the brane descent
relations in M-theory. We compute some of the non-commutative couplings of the
worldvolume effective actions of these non-abelian systems of M2 and M5 branes
and show that they indicate the existence of configurations corresponding to N
branes expanding into a higher dimensional M-brane. The reduction to Type II
brings up new descriptions of coincident D-branes at strong coupling. We show
that these systems have the right non-commutative charges to describe certain
expanded configurations playing a role in the framework of the AdS/CFT
correspondence. Finally, we discuss the realization of non-commutative brane
configurations as topological solitons in non-abelian brane-antibrane systems.Comment: 31 pages, latex file, references adde
Fragmentation and Multifragmentation of 10.6A GeV Gold Nuclei
We present the results of a study performed on the interactions of 10.6A GeV
gold nuclei in nuclear emulsions. In a minimum bias sample of 1311 interac-
tions, 5260 helium nuclei and 2622 heavy fragments were observed as Au projec-
tile fragments. The experimental data are analyzed with particular emphasis of
target separation interactions in emulsions and study of criticalexponents.
Multiplicity distributions of the fast-moving projectile fragments are inves-
tigated. Charged fragment moments, conditional moments as well as two and three
-body asymmetries of the fast moving projectile particles are determined in
terms of the total charge remaining bound in the multiply charged projectile
fragments. Some differences in the average yields of helium nuclei and heavier
fragments are observed, which may be attributed to a target effect. However,
two and three-body asymmetries and conditional moments indicate that the
breakup mechanism of the projectile seems to be independent of target mass. We
looked for evidence of critical point observable in finite nuclei by study the
resulting charged fragments distributions. We have obtained the values for the
critical exponents gamma, beta and tau and compare our results with those at
lower energy experiment (1.0A GeV data). The values suggest that a phase
transition like behavior, is observed.Comment: latex, revtex, 28 pages, 12 figures, 3tables, submitted to Europysics
Journal
Geographical and temporal distribution of SARS-CoV-2 clades in the WHO European Region, January to June 2020
We show the distribution of SARS-CoV-2 genetic clades over time and between countries and outline potential genomic surveillance objectives. We applied three available genomic nomenclature systems for SARS-CoV-2 to all sequence data from the WHO European Region available during the COVID-19 pandemic until 10 July 2020. We highlight the importance of real-time sequencing and data dissemination in a pandemic situation. We provide a comparison of the nomenclatures and lay a foundation for future European genomic surveillance of SARS-CoV-2.Peer reviewe
- …