Optimisation Problems in Wireless Sensor Networks : Local Algorithms and Local Graphs

This thesis studies optimisation problems related to modern large-scale distributed systems, such as wireless sensor networks and wireless ad-hoc networks. The concrete tasks that we use as motivating examples are the following: (i) maximising the lifetime of a battery-powered wireless sensor network, (ii) maximising the capacity of a wireless communication network, and (iii) minimising the number of sensors in a surveillance application. A sensor node consumes energy both when it is transmitting or forwarding data, and when it is performing measurements. Hence task (i), lifetime maximisation, can be approached from two different perspectives. First, we can seek for optimal data flows that make the most out of the energy resources available in the network; such optimisation problems are examples of so-called max-min linear programs. Second, we can conserve energy by putting redundant sensors into sleep mode; we arrive at the sleep scheduling problem, in which the objective is to find an optimal schedule that determines when each sensor node is asleep and when it is awake. In a wireless network simultaneous radio transmissions may interfere with each other. Task (ii), capacity maximisation, therefore gives rise to another scheduling problem, the activity scheduling problem, in which the objective is to find a minimum-length conflict-free schedule that satisfies the data transmission requirements of all wireless communication links. Task (iii), minimising the number of sensors, is related to the classical graph problem of finding a minimum dominating set. However, if we are not only interested in detecting an intruder but also locating the intruder, it is not sufficient to solve the dominating set problem; formulations such as minimum-size identifying codes and locating dominating codes are more appropriate. This thesis presents approximation algorithms for each of these optimisation problems, i.e., for max-min linear programs, sleep scheduling, activity scheduling, identifying codes, and locating dominating codes. Two complementary approaches are taken. The main focus is on local algorithms, which are constant-time distributed algorithms. The contributions include local approximation algorithms for max-min linear programs, sleep scheduling, and activity scheduling. In the case of max-min linear programs, tight upper and lower bounds are proved for the best possible approximation ratio that can be achieved by any local algorithm. The second approach is the study of centralised polynomial-time algorithms in local graphs these are geometric graphs whose structure exhibits spatial locality. Among other contributions, it is shown that while identifying codes and locating dominating codes are hard to approximate in general graphs, they admit a polynomial-time approximation scheme in local graphs.

A probabilistic approach to the problem of electron localization in disordered systems and sharpness of the mobility edge

By applying the theory of the asymptotic distribution of extremes and a certain stability criterion to the question of the domain of convergence in the probability sense, of the renormalized perturbation expansion (RPE) for the site self-energy in a cellularly disordered system, an expression has been obtained in closed form for the probability of nonconvergence of the RPE on the real-energy axis. Hence, the intrinsic mobility mu (E) as a function of the carrier energy E is deduced to be given by mu (E)= mu 0exp(-exp( mod E mod -Ec) Delta ), where Ec is a nominal 'mobility edge' and Delta is the width of the random site-energy distribution. Thus mobility falls off sharply but continuously for mod E mod >Ec, in contradistinction with the notion of an abrupt 'mobility edge' proposed by Cohen et al. and Mott. Also, the calculated electrical conductivity shows a temperature dependence in qualitative agreement with experiments on disordered semiconductors.

An inhomogeneity problem in couple stress theory

Using Hilbert theory and Mindlin's couple stress theory, the problem of two-dimensional circular inhomogeneity (when the inserted material is of different size than the size of the cavity and having different elastic constants) is studiedin this paper. Stress could be bounded at infinity. The formulation is valid also for regions other then the circular ones when the matrix is finite has also been tackled. Numerical results are in conformity with the fact that the effect of couple stresses is negligible when the ratio of the smallest dimension of the body to the cahracteristic length is large.

On the orthogonality of suboptimum estimate in the combined estimation and control problem

By deriving the equations for an error analysis of modeling inaccuracies for the combined estimation and control problem, it is shown that the optimum estimation error is orthogonal to the actual suboptimum estimate.

A problem in micropolar elasticity

In this paper a three-dimensional analysis for statics and dynamics of a class of simply supported rectangular plates made up of micropolar elastic material is presented. The solution is in the form of series, in which each term is explicitly determined. For free vibrations, the frequencies are obtained by the solution of a closed form characteristic equation.

Kirkon vai valtion kirjat? : Uskontokuntasidonnaisuuden ongelma Suomen väestökirjanpidossa 1839-1904

The Population Register – run by the Church or the state? The problem posed by the obligation to belong to a religious community in the registration of births and deaths in Finland between 1839 and 1904 The Lutheran Church of Finland is the nation’s largest church; approximately 82 per cent of Finns were members in 2007. The Church ran an official register of its members until 1999, when the state then undertook this task. The registration of births and deaths by the Church has a long history dating back to the 17th century, when Bishop Johannes Gezelius Sr. decreed that all parish members would have to be recorded in parish registers. These registers were used to control how well parish members knew the Christian doctrine and, gradually, also if they were literate. Additionally, the Church attempted to ensure by means of the parish registers that parish members went to Holy Communion annually. Since everyone was a member of the Lutheran Church, the state also took advantage of the parish registers and used them for the purposes of tax collection and conscription. The main research theme of “The Population Register – run by the Church or the state?” goes back to these times. The actual research period covers the years of 1839–1904. At that time Finland was under Russian rule, although autonomous. In the late 19th century the press and different associations in Finland began to engage in public debate, and the country started moving from a submissive society to a civic one. The identity of the Lutheran Church also became more prominent when the Church Act and the General Synod were realised in 1869. A few years earlier, municipal and parish administrations had been separated, but the general registration of births and deaths was left to the Church to see to. In compliance with the constitution of the country, all the inhabitants in principle still had to be Lutheran. In practice, the situation was different. The religious and ideological realms diversified, and the Lutheran concept of religion was no longer acceptable to everyone. The conflict was reflected in the registration of births and deaths, which was linked to the Lutheran Church and its parish registers. Nobody was allowed to leave the Church, there was no civil register, and the Lutheran Church did not consent to record unbaptized children in the parish registers. Therefore such children were left without civil rights. Thus the obligation to belong to a religious community had become a problem in the registration of births and deaths. The Lutheran clergy also appealed to the 1723 privileges, according to which they had been exempted from the drawing up of additional population registers. In 1889 Finland passed the Dissenters Act. By virtue of this act the Baptists and the Methodists left the state Church, but this was not the case with the members of the free churches. The freethinkers had to retain their church membership, as the law did not apply to them. This meant that the unbaptized children of the members of the free churches or those of freethinkers were still not entered in any registers. The children were not able to go to school, work for the state or legally marry. Neither were they able to inherit property, as they did not legally exist. The system of parish registers was created when everyone was required to be a member of the Lutheran Church, but it did not work when liberal attitudes eventually penetrated the sphere of religion, too. The government´s measures to solve the problem were slow and cautious, partly because Finland was part of Russia, partly because there were only about 100 unbaptized children. As the problem group was small and the state´s resources were limited, no general civil register was established. The state accepted the fact that in spite of the problems, the Evangelical Lutheran Church and the congregations of dissenters were the only official establishments to run populations registers in the country, and for social purposes, too. In 1900 the Diet of Finland finally approved a limited civil register, which unbaptized children and unregistered foreigners would be recorded in. Due to political reasons the civil register did not come into existence until 1917, after the actual research period.

4QMMT - The Problem of the Epilogue

The main focus of this study is the epilogue of 4QMMT (4QMiqsat Ma aseh ha-Torah), a text of obscure genre containing a halakhic section found in cave 4 at Qumran. In the official edition published in the series Discoveries of the Judaean Desert (DJD X), the extant document was divided by its editors, Elisha Qimron and John Strugnell, into three literary divisions: Section A) the calendar section representing a 364-day solar calendar, Section B) the halakhot, and Section C) an epilogue. The work begins with text critical inspection of the manuscripts containing text from the epilogue (mss 4Q397, 4Q398, and 4Q399). However, since the relationship of the epilogue to the other sections of the whole document 4QMMT is under investigation, the calendrical fragments (4Q327 and 4Q394 3-7, lines 1-3) and the halakhic section also receive some attention, albeit more limited and purpose oriented. In Ch. 2, after a transcription of the fragments of the epilogue, a synopsis is presented in order to evaluate the composite text of the DJD X edition in light of the evidence provided by the individual manuscripts. As a result, several critical comments are offered, and finally, an alternative arrangement of the fragments of the epilogue with an English translation. In the following chapter (Ch. 3), the diversity of the two main literary divisions, the halakhic section and the epilogue, is discussed, and it is demonstrated that the author(s) of 4QMMT adopted and adjusted the covenantal pattern known from biblical law collections, more specifically Deuteronomy. The question of the genre of 4QMMT is investigated in Ch. 4. The final chapter (Ch. 5) contains an analysis of the use of Scripture in the epilogue. In a close reading, both the explicit citations and the more subtle allusions are investigated in an attempt to trace the theology of the epilogue. The main emphases of the epilogue are covenantal faithfulness, repentance and return. The contents of the document reflect a grave concern for the purity of the cult in Jerusalem, and in the epilogue Deuteronomic language and expressions are used to convince the readers of the necessity of a reformation. The large number of late copies found in cave 4 at Qumran witness the significance of 4QMMT and the continuous importance of the Jerusalem Temple for the Qumran community.

On the orthogonality of suboptimum estimate in the combined estimation and control problem

By deriving the equations for an error analysis of modeling inaccuracies for the combined estimation and control problem, it is shown that the optimum estimation error is orthogonal to the actual suboptimum estimate.

The nonplanar peptide unit III. Quantum chemical calculations for related compounds and experimental X-ray diffraction data

The possible nonplanar distortions of the amide group in formamide, acetamide, N-methylacetamide, and N-ethylacetamide have been examined using CNDO/2 and INDO methods. The predictions from these methods are compared with the results obtained from X-ray and neutron diffraction studies on crystals of small open peptides, cyclic peptides, and amides. It is shown that the INDO results are in good agreement with observations, and that the dihedral angles N and defining the nonplanarity of the amide unit are correlated approximately by the relation N = -2, while C is small and uncorrelated with . The present study indicates that the nonplanar distortions at the nitrogen atom of the peptide unit may have to be taken into consideration, in addition to the variation in the dihedral angles (,), in working out polypeptide and protein structures.

Application of the Conjugate Gradient Method to a Problem on Minimum Time Orbit Transfer

This correspondence considers the problem of optimally controlling the thrust steering angle of an ion-propelled spaceship so as to effect a minimum time coplanar orbit transfer from the mean orbital distance of Earth to mean Martian and Venusian orbital distances. This problem has been modelled as a free terminal time-optimal control problem with unbounded control variable and with state variable equality constraints at the final time. The problem has been solved by the penalty function approach, using the conjugate gradient algorithm. In general, the optimal solution shows a significant departure from earlier work. In particular, the optimal control in the case of Earth-Mars orbit transfer, during the initial phase of the spaceship's flight, is found to be negative, resulting in the motion of the spaceship within the Earth's orbit for a significant fraction of the total optimized orbit transfer time. Such a feature exhibited by the optimal solution has not been reported at all by earlier investigators of this problem.

'A responsible nuclear weapons power' : Nuclear Weapons and Indian Foreign Policy

This thesis examines the interrelationship and dynamics between the Indian United Progressive Alliance government’s foreign policy and its nuclear weapons policy. The purpose of the study is to situate nuclear policy within a foreign policy framework, and the fundamental research problem is thus how does the Indian nuclear policy reflect and respond to the Indian foreign policy? The study examines the intentions in the Indian foreign and nuclear policies, and asks whether these intentions are commensurable or incommensurable. Moreover, the thesis asks whether the UPA government differs from its predecessors, most notably the Bharatiya Janata Party-led National Democratic Alliance government in its foreign and nuclear policies. Answers to these questions are based on the interpretation of political texts and speeches as suggested by Quentin Skinner’s notion of meaning3, what does a writer or speaker mean by what he or she says in a given text, and by J.L. Austin’s speech act theory. This linguistic perspective and the approach of intertextualizing, place the political acts within their contingent intellectual and political contexts. The notion of strategic culture is therefore introduced to provide context for these juxtapositions. The thesis firstly analyses the societal, historical and intellectual context of India’s foreign and nuclear policy. Following from this analysis the thesis then examines the foreign and nuclear policies of Prime Minister Manmo-han Singh’s UPA government. This analysis focuses on the texts, speeches and statements of Indian authorities between 2004 and 2008. This study forwards the following claims: firstly, the UPA Government conducts a foreign policy that is mainly and explicitly inclusive, open and enhancing, and it conducts a nuclear policy that is mainly and implicitly excluding, closed and protective. Secondly, despite the fact that the notion of military security is widely appreciated and does not, as such, necessarily collide with foreign policy, the UPA Government conducts a nuclear policy that is incommensurable with its foreign policy. Thirdly, the UPA Gov-ernment foreign and nuclear policies are, nevertheless, commensurable re-garding their internal intentions. Finally, the UPA Government is conduct-ing a nuclear policy that is gradually leading India towards having a triad of nuclear weapons with various platforms and device designs and a function-ing and robust command and control system encompassing political and military planning, decision-making and execution. Regarding the question of the possible differences between the UPA and NDA governments this thesis claims that, despite their different ideological roots and orientations in domestic affairs, the Indian National Congress Party conducts, perhaps surprisingly, quite a similar foreign and nuclear policy to the Bharatiya Janata Party.

The problem of liquid droplet combustion-reexamination

The simple quasi-steady analysis of the combustion of a liquid fuel droplet in an oxidising atmosphere provides unsatisfactory explanations for several experimental observations. It's prediction of values for the burning constant (K), the flame-to-droplet diameter ratio ( ) and the flame temperature (Tf) have been found to be amgibuous if not completely inaccurate. A critical survey of the literature has led us to a detailed examination of the effects of unsteadiness and variable properties. The work published to date indicates that the gas-phase unsteadiness is relatively short and therefore quite insignificant.A new theoretical analysis based on heat transfer within the droplet is presented here. It shows that the condensed-phase unsteadiness lasts for about 20â??25% of the total burning time. It is concluded that the discrepancies between experimental observations and the predictions of the constant-property quasi-steady analysis cannot be attributed either to gas-phase or condensed-phase unsteadiness.An analytical model of quasi-steady droplet combustion with variable thermodynamic and transport properties and non-unity Lewis numbers will be examined. Further findings reveal a significant improvement in the prediction of combustion parameters, particularly of K, when consideration is given to variations of cp and λ with the temperature and concentrations of several species. Tf is accurately predicted when the required conditions of incomplete combustion or low ( ) at the flame are met. Further refinement through realistic Lewis numbers predicts ( ) meaningfully.

A Reactive Inverse PN Algorithm for Collision Avoidance among Multiple Unmanned Aerial Vehicles

While performing a mission, multiple Unmanned Aerial Vehicles (UAVs) need to avoid each other to prevent collisions among them. In this paper, we design a collision avoidance algorithm to resolve the conflict among UAVs that are on a collision course while flying to heir respective destinations. The collision avoidance algorithm consist of each UAV that is on a collision course reactively executing a maneuver that will, as in `inverse' Proportional Navigation (PN), increase Line of Sight (LOS) rate between them, resulting in a `pulling out' of collision course. The algorithm is tested for high density traffic scenarios as well as for robustness in the presence of noise.

Structural studies of analgesics and their interactions. III. The crystal and molecular structure of amidopyrine

Amidopyrine (1-phenyl-2,3-dimethyl-4-dimethylaminopyrazolone), C13HzvN30, a dimethylamino derivative of antipyrine and an important analgesic and antipyretic agent, crystallizes in the triclinic space group P1 with four molecules in a unit cell of dimensions a= 7.458 (5), b = 10.744 (5), c= 17.486 (15)/~,, e=98.6 (2),/~= 85.6 (3), y= 108-6 (2) . The structure was solved by direct methods and refined to an R value of 0.055 for 3706 photographically observed reflexions. The dimensions of the two crystallographically independent molecules are very nearly the same. The pyrazolone moiety in the molecule has dimensions comparable to those in antipyrine. Unlike antipyrine, the molecular dimensions of amidopyrine in the free state (the present structure) are close to those found in some of its hydrogenbonded complexes. Thus it appears that the presence of the dimethylamino group makes the molecule more resistant to changes in its dimensions resulting from molecular association. An attempt has also been made to correlate the polar nature of the pyrazolone moiety and the hybridization state of the hetero nitrogen atoms in antipyrine, amidopyrine and their complexes.

Studies on Plant Demography: Ranunculus Repens L., R. Bulbosus L. and R. Acris L.: III. A Mathematical Model Incorporating Multiple Modes of Reproduction

This paper presents a comparative population dynamics study of three closely related species of buttercups (Ranunculus repens, R. acris, and R. bulbosus). The study is based on an investigation of the behaviour of the seeds in soil under field conditions and a continuous monitoring of survival and reproduction of some 9000 individual plants over a period of 21/2 years in a coastal grassland in North Wales. The data were analysed with the help of an extension of Leslie's matrix method which makes possible an simultaneous treatment of vegetative and sexual reproduction. It was found that R. repens (a) depends more heavily on vegetative as compared with sexual reproduction, (b) shows indications of negatively density-dependent population regulation, and (c) exhibits little variation in population growth rates from site to site and from one year to the next. In contrast, R. bulbosus (a) depends exclusively on sexual reproduction, (b) shows indications of a positively density-dependent population behaviour, and (c) exhibits great variation in population growth rates from site to site and from one year to the next. R. acris exhibits an intermediate behaviour in all these respects. It is suggested that the attributes of R. repens are those expected of a species inhabiting a stable environment, while R. bulbosus exhibits some of the characteristics of a fugitive species.