We study both the correctness and performance of the source/destination protocol of the available bit rate (ABR) service in asynchronous transfer mode (ATM) networks. Although the basic source/destination protocol for...
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We study both the correctness and performance of the source/destination protocol of the available bit rate (ABR) service in asynchronous transfer mode (ATM) networks. Although the basic source/destination protocol for congestion management is relatively simple, the protocol specification has to cope with several "real-world" cases such as failures and delayed/lost feedback which may introduce complexity. Rigorous proofs of the correct functioning of the protocol based on a formal specification is necessary. We use a formal extended finite state machine (EFSM) model to show that the ABR source/destination protocol is free of live-locks, so that under all conditions both resource management (RM) and data cells will be transmitted. We also show that the network options of explicit forward congestion indication (EFCI) and explicit rate (ER) interoperate correctly. We use the understanding of the informal English description of the source/destination behavior and of our EFSM model to derive conditions that ensure that the source transmission rate is stable in the presence of delayed or lost feedback RM cells, especially under the operation of a source rule that requires the reduction of the source rate under these conditions. We arrive at bounds on the number of consecutive RM cell losses tolerated while the rate remains stable. We also provide a worst-case analysis of the delay in turning around RM cells at the destination station and the worst-case inter-departure time of forward RM cells from the source.
We investigate the power of first-order logic with only two variables over /spl omega/-words and finite words, a logic denoted by FO/sup 2/. We prove that FO/sup 2/ can express precisely the same properties as linear ...
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We investigate the power of first-order logic with only two variables over /spl omega/-words and finite words, a logic denoted by FO/sup 2/. We prove that FO/sup 2/ can express precisely the same properties as linear temporal logic with only the unary temporal operators: "next", "previously", "sometime in the future", and "sometime in the past", a logic we denote by unary-TL. Moreover, our translation from FO/sup 2/ to unary-TL converts every FO/sup 2/ formula to an equivalent unary-TL formula that is at most exponentially larger, and whose operator depth is at most twice the quantifier depth of the first-order formula. We show that this translation is optimal. While satisfiability for full linear temporal logic, as well as for unary-TL, is known to be PSPACE-complete, we prove that satisfiability for FO/sup 2/ is NEXP-complete, in sharp contrast to the fact that satisfiability for FO/sup 3/ has non-elementary computational complexity. Our NEXP time upper bound for FO/sup 2/ satisfiability has the advantage of being in terms of the quantifier depth of the input formula. It is obtained using a small model property for FO/sup 2/ of independent interest, namely: a satisfiable FO/sup 2/ formula has a model whose "size" is at most exponential in the quantifier depth of the formula. Using our translation from FO/sup 2/ to unary-TL we derive this small model property from a corresponding small model property for unary-TL. Our proof of the small model property for unary-TL is based on an analysis of unary-TL types.
Clustering is an important research area and of practical applications in many fields. Fuzzy clustering has shown advantages over crisp and probabilistic clustering especially when there are significant overlaps betwe...
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Clustering is an important research area and of practical applications in many fields. Fuzzy clustering has shown advantages over crisp and probabilistic clustering especially when there are significant overlaps between clusters. However, all of the fuzzy clustering algorithms are sensitive to an exponent parameter, namely the fuzzifier. To our knowledge, no theoretical foundations are yet available for the optimal choice of this parameter. The current work develops an improved scheme for the fuzzifier by embedding more knowledge about the data set to cluster in its computation.
We derive a new upper bound on the covering radius of a code as a function of its dual distance. This bound improves on the bound proved previously (Honkala et al., 1995) and in a certain interval it is also better th...
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We derive a new upper bound on the covering radius of a code as a function of its dual distance. This bound improves on the bound proved previously (Honkala et al., 1995) and in a certain interval it is also better than Tietavainen's bound.
Considers the problem of learning to predict the correct pose of a 3D object, assuming orthographic projection and 3D linear transformations. A neural network is trained to learn the desired mapping. First, we conside...
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Considers the problem of learning to predict the correct pose of a 3D object, assuming orthographic projection and 3D linear transformations. A neural network is trained to learn the desired mapping. First, we consider the problem of predicting all possible views that an object can produce. This is performed by representing the object with a small number of reference views and using algebraic functions of views to construct the space of all possible views that the object can produce. Fundamental to this procedure is a methodology based on singular value decomposition and interval arithmetic for estimating of the ranges of values that the parameters of algebraic functions can assume. Then, a neural network is trained using a number of views (training views) which are generated by sampling the space of views of the object. During learning, a training view is presented to the inputs of the network which is required to respond at its outputs with the parameters of the algebraic functions used to generate the view from the reference views. Compared to similar approaches in the literature, the proposed approach has the advantage that it does not require the 3D models of the objects or a large number of views, it is extendible to other types of projections, and it is more practical for object recognition.
The relationships between the dynamics of environmentally and chemically stressed populations and indicators of the effects of the stressor are explored in a model framework. The physiologically structured population,...
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The relationships between the dynamics of environmentally and chemically stressed populations and indicators of the effects of the stressor are explored in a model framework. The physiologically structured population, represented by a system of McKendrick-von Foerster hyperbolic partial differential equations, includes the dynamics of numerous individuals distinguished by ecotype. Chemical up-take of nonpolar narcotics is modeled by first order kinetics. Classical methodologies, frequency analysis and phase space reconstruction, are explored in a search for indicators of magnitude of stress. When these techniques proved generally unsuccessful for the objective of indicator selection in our model setting, summary statistics, as related to bifurcation diagrams, were constructed and appear more useful as indicators. It is concluded that physiological structures generally lead to more feasible measurable indicators of magnitude of stress than do specifics of population dynamics.
One of the most important problems in linear multivariable control theory is that of controlling a given plant in order to have its output track (or reject) a reference (or disturbance) signal produced by some externa...
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One of the most important problems in linear multivariable control theory is that of controlling a given plant in order to have its output track (or reject) a reference (or disturbance) signal produced by some external generator, called the exosystem. The disturbance or reference contains only the frequency components of the exosystem. This is called the output regulation problem. We generalize the problem framework in several directions. One is to model disturbances and references by an exosystem that is not, unlike the traditional approach, autonomous but is driven. Another direction is to incorporate the derivative information in the problem formulation. Consequently, we formulate two classes of generalized exact and almost output regulation problems. We provide solvability conditions and the solutions to these problems. Finally, and most importantly, we show that if solvability conditions for regulation are not satisfied, one can design a regulator to achieve "best" tracking (or rejection) of reference (or disturbance) signal is any desired induced norm sense.
LetPbe a finite partial order which does not contain an induced subposet isomorphic with 3+1, and letGbe the incomparability graph ofP. Gasharov has shown that the chromatic symmetric functionXGhas nonnegative coeffic...
A formal knowledge representation system for nuclear physics processes, called nuclear process theory (NPT), is introduced. NPT allows modelling and simulation of nuclear physics processes. Knowledge of these processe...
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A formal knowledge representation system for nuclear physics processes, called nuclear process theory (NPT), is introduced. NPT allows modelling and simulation of nuclear physics processes. Knowledge of these processes is expressed in terms of a basic nuclear physics model and an aggregate effects model. The basic nuclear physics model is used to express knowledge of many nuclear physics processes, including fission, radioactive capture, beta positive decay, and beta negative decay. The products of these processes are expressed in either deterministic or probabilistic values. The aggregate effects model coordinates basic nuclear physics processes expressed in the basic nuclear physics model. NPT, along with the NPT simulator, can be used to reason about nuclear physics processes for approximately 3,000 different nuclides. The approach was tested using a homogeneous thermal fission reactor model. The results of modelling fission and other nuclear physics processes in a pressurized heavy water reactor fueled with a mixture of 12% U235 and 88% U236 are presented.
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