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Thesis
Kinds of Thesis Selected AbstractsELECTION AND THE TRINITY: TWENTY-FIVE THESES ON THE THEOLOGY OF KARL BARTHMODERN THEOLOGY, Issue 2 2008GEORGE HUNSINGER A new and "revisionist" reading would argue that the later Karl Barth saw the existence of the eternal Trinity not as the ground and presupposition, but as the consequence of God's pre-temporal decision of election. A more "traditionalist" reading, on the other hand, as defended by this essay, denies that proposition. The texts adduced by the revisionists, it is argued, fail to make their case. More plausible, alternative readings are offered, counter-evidence is marshaled, and the deleterious theological consequences of the revisionist alternative are spelled out. Barth could not have adopted it without contradicting his most basic convictions. [source] A DOUBLE-REFERENCE ACCOUNT: GONGSUN LONG'S "WHITE-HORSE-NOT-HORSE" THESISJOURNAL OF CHINESE PHILOSOPHY, Issue 4 2007BO MOU [source] ACADEMIC ARGUMENTS FOR THE INDISCERNIBILITY THESISPACIFIC PHILOSOPHICAL QUARTERLY, Issue 4 2005CASEY PERIN I claim that these arguments, unlike modern sceptical arguments, are supposed to establish mere counterfactual rather than epistemic possibilities. They purport to show that for any true perceptual impression j, there are a number of alternative causal histories j might have had which would not have resulted in any change in the way in which j represents its object. [source] IMPOSSIBLE WORLDS AND PROPOSITIONS: AGAINST THE PARITY THESISTHE PHILOSOPHICAL QUARTERLY, Issue 240 2010Francesco Berto Accounts of propositions as sets of possible worlds have been criticized for conflating distinct impossible propositions. In response to this problem, some have proposed to introduce impossible worlds to represent distinct impossibilities, endorsing the thesis that impossible worlds must be of the same kind; this has been called the parity thesis. I show that this thesis faces problems, and propose a hybrid account which rejects it: possible worlds are taken as concrete Lewisian worlds, and impossibilities are represented as set-theoretic constructions out of them. This hybrid account (1) distinguishes many intuitively distinct impossible propositions; (2) identifies impossible propositions with extensional constructions; (3) avoids resorting to primitive modality, at least so far as Lewisian modal realism does. [source] PUBLIC AND PRIVATE SECTOR MANAGERS OVER 20 YEARS: A TEST OF THE ,CONVERGENCE THESIS'PUBLIC ADMINISTRATION, Issue 4 2006MICHAEL POOLE This paper sets out to test the ,convergence thesis' in respect of managers in the public and private sectors in Britain. New Public Management (NPM) initiatives have had the objective of making managerial behaviour in public sector organizations more similar to that in the private sector. Based on unique national surveys undertaken in 1980, 1990 and 2000, using quite large random samples of fellows and members of the Chartered Management Institute (CMI), comparisons are made to investigate whether ,convergence' between public and private sector managers has actually occurred. The patterns are found to be complex and, although there are some signs of convergence, the two sectors continue to exhibit similarities, persistent differences and parallel movements evident in managerial attitudes, behaviour and experiences. [source] Ten Theses on the Future of Lutheran Theology Charisms, Contexts, and ChallengesDIALOG, Issue 4 2002Niels Gregersen Although Lutheran theology is a gift to the historic church, Martin Luther's own views are specifically formulated for their 16th century context. No universal or timeless theological system based upon Luther's authority should be appealed to. Then theses are here advanced that bridge the 16th and 21st centuries and challenge us to creative construction. [source] Theses on Cinema as PhilosophyJOURNAL OF AESTHETICS AND ART CRITICISM, Issue 1 2006Paisley Livingston First page of article [source] Finding the Findings in Qualitative StudiesJOURNAL OF NURSING SCHOLARSHIP, Issue 3 2002Margarete Sandelowski Purpose: To describe the challenges of finding the findings in qualitative studies. Method: Review of literature on representation in qualitative research and analysis of 99 reports of qualitative studies of women with HIV infection. Findings: Factors complicating finding the findings in qualitative studies include varied reporting styles, misrepresentation of data and analytic procedures as findings, misuse of quotes and theory, and lack of clarity concerning pattern and theme. Theses and dissertations present special challenges because they often contain several of these problems. Conclusions: Given the varied beliefs about findings among qualitative researchers, the challenge is to find ways to present findings that will make them discernible to the diverse audiences for whom they are intended, including researchers and practitioners. [source] Ten Theses on GlobalizationNEW PERSPECTIVES QUARTERLY, Issue 4 2001Amartya Sen First page of article [source] Hermeneutics and the Heidegger = Schumpeter ThesesAMERICAN JOURNAL OF ECONOMICS AND SOCIOLOGY, Issue 1 2010Yuichi Shionoya This paper is a part of an attempt to develop an economic philosophy of ontology based on the Continental tradition of hermeneutics. Ontology explores the meanings of entities as the objects of knowledge to posit the orientation of knowledge. Heidegger developed hermeneutical ontology, focusing on the self-understanding of Dasein (human beings), which consists of the "projection" of its possibilities into the future and the "thrownness" of it into the restrictions by the past history. Dealing explicitly with the pre-structure of knowledge, hermeneutics opens the perspective of knowledge much broader than permitted by the analytical tradition of philosophy. It is the contention of this paper that Schumpeter from the Austrian subjectivist circle could cope with this approach in social science by the use of the concepts of "innovation and tradition" or "creation and routine." The paper discusses the relationship between Heidegger and Schumpeter on various philosophical issues and derives what might be called the Heidegger = Schumpeter theses. [source] Postgraduate Theses from UK Departments of Optometry, 1996,2001OPHTHALMIC AND PHYSIOLOGICAL OPTICS, Issue 3 2002Article first published online: 29 APR 200 First page of article [source] "A Discovered Dissembler Can Achieve Nothing Great"; Or, Four Theses on the Death of Presidential Rhetoric in an Age of EmpirePRESIDENTIAL STUDIES QUARTERLY, Issue 4 2007STEPHEN JOHN HARTNETT Because of the explosion of mass media, we have entered a new age of white noise; because of the disastrous extension of U.S. imperial ambitions, we have entered a new age of political deception; when these two historical factors are combined with the peculiar communicative habits of President George W. Bush, Americans are left with what we call a post-rhetorical presidency. This is an anti-democratic condition wherein presidential discourse is not meant to mobilize, educate, and uplift the masses; rather, by marshaling ubiquitous public chatter, waves of disinformation, and cascades of confusion-causing misdirection, post-rhetorical presidential discourse attempts to confuse public opinion, prevent citizen action, and frustrate citizen deliberation. Under these new conditions, the president defines fantasy, not reality; he numbs citizens rather than energizing them; instead of informing and teaching, he chooses to dumb down and stupefy. We pursue this thesis by offering four philosophical theses and three rhetorical case studies of the president's public speaking, thus combining critical theory and rhetorical criticism to help map what may represent the death of democracy. [source] The Theses on Feuerbach as a political ecology of the possibleAREA, Issue 2 2009Alex Loftus This paper argues that Marx's Theses on Feuerbach offer a tremendous and yet neglected resource for work in political ecology and the production of nature. Whilst not calling for a dramatic shift in the way in which such work is conducted, the paper shows how the Theses offer a firm and concise foundation on which to base the ontological and epistemological claims of work on the politicised environment. Ontologically, nature is a differentiated unity, best understood as sensuous activity or practice. This fits well with Smith's claims that nature is produced, whilst not limiting production to capitalist activity. Environments are thereby made up of everyday activity. Subverting the apparent anthropocentrism of this claim, the paper shows how (as Gramsci recognised) the Theses on Feuerbach have an incipient sense of the socio-natural. Post-humanist critiques of Smith's (humanist) production of nature thesis are thereby disrupted. Production realises a differentiated unity of socio-natural relations. Epistemologically, the paper demonstrates how the Theses push political ecologists to construct knowledge claims from practical activity. An ecological politics thereby emerges from the situated knowledges of different actors. Building on this, the paper argues that Marx's ,notes to himself' give us a sense of possible worlds and possible ecologies beyond the topsy-turvy one we have made in the present. Through the concept of praxis evinced in the Theses, a vision of the engaged scholar activist, committed to learning about the world through changing it (and vice-versa), emerges. [source] Report on the Fourth Annual Symposium on Electronic Theses and DissertationsBULLETIN OF THE AMERICAN SOCIETY FOR INFORMATION SCIENCE & TECHNOLOGY (ELECTRONIC), Issue 1 2001Kimberly Douglas Director No abstract is available for this article. [source] Thesis as Narrative or ,What Is the Inquiry in Narrative Inquiry?'CURRICULUM INQUIRY, Issue 2 2000Carola Conle I present elements of inquiry in a dissertation composed through experiential narrative. My account of the thesis process is interwoven with references to John Dewey's demonstrations of implicit inquiry in the creation and experience of art. Motivation, methodology, outcomes and literature review take on a narrative character and I show how aesthetic and reflective activities contributed to the inquiry. Conceptually, a ,tension-telos dynamic' characterizes the impetus for the work; ,resonance' is portrayed as the connecting principle among various narrative components of the thesis, and the function of a ,third term' in metaphorical relationships is presented as a structuring principle for these connections. Although my inquiry came about through personal stories, my narratives reached out to social, historical and philosophical contexts to gain a wider significance, academically and personally. [source] Misunderstanding Gödel: New Arguments about Wittgenstein and New Remarks by WittgensteinDIALECTICA, Issue 3 2003Victor Rodych The long-standing issue of Wittgenstein's controversial remarks on Gödel's Theorem has recently heated up in a number of different and interesting directions [(Floyd and Putnam. 2000), (Steiner, 2001), (Floyd, 2001)]. In their (2000), Juliet Floyd and Hilary Putnam purport to argue that Wittgenstein's,notorious'(RFM App. III, §8) "Contains a philosophical claim of great interest," namely, "if one assumed. that ,P is provable in Russell's system one should, give up the "translation" of P by the English sentence ,P is not provable'," because if ,P is provable in PM, PM is , -inconsistent, and if PM is ,-inconsistent, we cannot translate ,P'as 'P is not provable in PM'because the predicate,NaturalNo.(x)'in ,P'"cannot be,interpreted" as "x is a natural number." Though Floyd and Putnam do not clearly distinguish the two tasks, they also argue for "The Floyd-Putnam Thesis," namely, that in the 1930's Wittgenstein had a particular (correct) understanding of Gödel's First Incompleteness Theorem. In this paper, I endeavour to show, first, that the most natural and most defensible interpretation of Wittgenstein's (RFM App. III, §8) and the rest of (RFM App. III) is incompatible with the Floyd-Putnam attribution and, second, that evidence from Wittgenstein's Nachla (i.e., a hitherto unknown "proof sketch" of Gödel's reasoning, Wittgenstein's only mention of ,-inconsistency, and Wittgenstein's only mention of "K provable") strongly indicates that the Floyd- Putnam attribution and the Floyd-Putnam Thesis are false. By way of this examination, we shall see that despite a failure to properly understand Gödel's proof,perhaps because, as Kreisel says, Wittgenstein did not read Gödel's 1931 paper prior to 1942-Wittgenstein's 1937,38, 1941 and 1944 remarks indicate that Gödel's result makes no sense from Wittgenstein's own (idiosyncratic) perspective. [source] The role of the mother's voice in developing mother's face preference: Evidence for intermodal perception at birthINFANT AND CHILD DEVELOPMENT, Issue 1 2005F. Z. Sai Abstract Four experiments are described which investigated the role of the mother's voice in facilitating recognition of the mother's face at birth. Experiment 1 replicated our previous findings (Br. J. Dev. Psychol. 1989; 7: 3,15; The origins of human face perception by very young infants. Ph.D. Thesis, University of Glasgow, Scotland, UK, 1990) indicating a preference for the mother's face when a control for the mother's voice and odours was used only during the testing. A second experiment adopted the same procedures, but controlled for the mother's voice from birth through testing. The neonates were at no time exposed to their mother's voice. Under these conditions, no preference was found. Further, neonates showed only few head turns towards both the mother and the stranger during the testing. Experiment 3 looked at the number of head turns under conditions where the newborn infants were exposed to both the mother's voice and face from birth to 5 to 15 min prior to testing. Again, a strong preference for the mother's face was demonstrated. Such preference, however, vanished in Experiment 4, when neonates had no previous exposure to the mother's voice,face combination. The conclusion drawn is that a prior experience with both the mother's voice and face is necessary for the development of face recognition, and that intermodal perception is evident at birth. The neonates' ability to recognize the face of the mother is most likely to be rooted in prenatal learning of the mother's voice. Copyright © 2004 John Wiley & Sons, Ltd. [source] Mode I crack propagation in concrete under fatigue: microscopic observations and modellingINTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, Issue 13 2002A. Toumi Abstract In this study, three-point bending tests were carried out on notched beams to investigate mode I crack propagation in plain concrete under fatigue. The first part of the study focused on microscopic observations of the crack growth features. Microscopic observations were made using the replica method associated with scanning electron microscopy (SEM). Observations of fatigue crack growth both on the surface and inside the specimens are presented as a comparison between the observed crack lengths and those estimated by the compliance calibration method. In the second part, a finite element model of mode I crack propagation under fatigue is presented. According to the cohesive crack concept, a cohesive force distribution on the crack at various loading stages is assumed, according to both the stress-crack opening relation worked out by Hordijk (1991; Thesis, Technische Universiteit) and a new proposed relation with hysteresis loop. Finite element computation is used to evaluate the crack extension in the bending beams. Numerical predictions are discussed in comparison with experimental results. Copyright © 2002 John Wiley & Sons, Ltd. [source] Assessment of the cost and accuracy of the generalized FEMINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 2 2007Theofanis Strouboulis Abstract In this paper, we address the cost versus accuracy capabilities for the generalized FEM (GFEM) which was developed in (Comput. Methods Appl. Mech. Eng. 2003; 192:3109,3161, Int. J. Numer. Meth. Engng 2004; 60:1639,1672, Ph.D. Thesis, Texas A&M University, College Station, TX, August 2003 (Advisor: T. Strouboulis)), and also the construction of two-sided a posteriori error estimates, which can be used to assess the achieved accuracy at all levels of the method. Copyright © 2006 John Wiley & Sons, Ltd. [source] Weak imposition of boundary conditions for the Navier,Stokes equations by a penalty methodINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Issue 4 2009Atife Caglar Abstract We prove convergence of the finite element method for the Navier,Stokes equations in which the no-slip condition and no-penetration condition on the flow boundary are imposed via a penalty method. This approach has been previously studied for the Stokes problem by Liakos (Weak imposition of boundary conditions in the Stokes problem. Ph.D. Thesis, University of Pittsburgh, 1999). Since, in most realistic applications, inertial effects dominate, it is crucial to extend the validity of the method to the nonlinear Navier,Stokes case. This report includes the analysis of this extension, as well as numerical results validating their analytical counterparts. Specifically, we show that optimal order of convergence can be achieved if the computational boundary follows the real flow boundary exactly. Copyright © 2008 John Wiley & Sons, Ltd. [source] Comparative study of the continuous phase flow in a cyclone separator using different turbulence models,INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Issue 11 2005H. Shalaby Abstract Numerical calculations were carried out at the apex cone and various axial positions of a gas cyclone separator for industrial applications. Two different NS-solvers (a commercial one (CFX 4.4 ANSYS GmbH, Munich, Germany, CFX Solver Documentation, 1998), and a research code (Post-doctoral Thesis, Technical University of Chemnitz, Germany, September, 2002)) based on a pressure correction algorithm of the SIMPLE method have been applied to predict the flow behaviour. The flow was assumed as unsteady, incompressible and isothermal. A k,, turbulence model has been applied first using the commercial code to investigate the gas flow. Due to the nature of cyclone flows, which exhibit highly curved streamlines and anisotropic turbulence, advanced turbulence models such as Reynolds stress model (RSM) and large eddy simulation (LES) have been used as well. The RSM simulation was performed using the commercial package activating the Launder et al.'s (J. Fluid. Mech. 1975; 68(3):537,566) approach, while for the LES calculations the research code has been applied utilizing the Smagorinsky model. It was found that the k,, model cannot predict flow phenomena inside the cyclone properly due to the strong curvature of the streamlines. The RSM results are comparable with LES results in the area of the apex cone plane. However, the application of the LES reveals qualitative agreement with the experimental data, but requires higher computer capacity and longer running times than RSM. This paper is organized into five sections. The first section consists of an introduction and a summary of previous work. Section 2 deals with turbulence modelling including the governing equations and the three turbulence models used. In Section 3, computational parameters are discussed such as computational grids, boundary conditions and the solution algorithm with respect to the use of MISTRAL/PartFlow-3D. In Section 4, prediction profiles of the gas flow at axial and apex cone positions are presented and discussed. Section 5 summarizes and concludes the paper. Copyright © 2005 John Wiley & Sons, Ltd. [source] Re-Assessing the "Power of Power Politics" Thesis: Is Realism Still Dominant?,INTERNATIONAL STUDIES REVIEW, Issue 2 2005Thomas C. Walker Disagreements frequently arise over the dominant role played by realism in the study of international relations. Even though some scholars characterize the discipline by its rich theoretical diversity, others see realist concerns overshadowing all alternative theories. John Vasquez's The Power of Power Politics (1983) demonstrated how the realist paradigm had informed more than 90 percent of the data-based articles published from the end of World War II to 1970. In this Forum, we reevaluate the centrality of realism in international relations scholarship. Reviewing 515 data-based articles published from 1970 to 2000, we find that the proportion of articles informed by realism has been declining over the past three decades. From 1995 to 2000, liberalism surpassed realism as the leading guide to inquiry. This new theoretical pluralism calls into question the power of power politics thesis as a fitting description of contemporary research in international relations. [source] Technology, Place, and the Nonmodern ThesisJOURNAL OF ARCHITECTURAL EDUCATION, Issue 3 2001Steven A. Moore Proposals for regionalist architecture have appeared regularly in architectural discourse since the seventeenth century. Central to this discourse are shifting attitudes toward the core concepts of technology and place. Moderns, it seems, tend to value technology and devalue place. Postmoderns do the opposite - they value place and devalue technology. The doctrines of critical regionalism defy categorization because they value both technology and place positively. However, by deriving its program equally from the modern assumptions of Jurgen Habermas and from the postmodern assumption of Martin Heidegger, critical regionalism presents a philosophical antinomy, or unresolvable conflict. It is this conflict that suggests a nonmodern thesis for architecture. [source] Differential Effects of Different Peers: Further Evidence of the Peer Proximity Thesis in Perceived Peer Influence on College Students' SmokingJOURNAL OF COMMUNICATION, Issue 3 2009Hye-Jin Paek First page of article [source] Mark as a Roman Document from the Year 69: Testing Martin Hengel's ThesisJOURNAL OF RELIGIOUS HISTORY, Issue 3 2004Ivan Head This paper explores Martin Hengel's thesis that the Gospel of Mark was written in Rome in the year 69. Hengel was convinced that more should be made of the Year of Four Emperors, a period of civic chaos and warfare that ensued on the death of Nero. The paper analyses the role of the emperor as a potent force in the religious, civic, political, and military unity that is Rome and her gods; the all-pervasive Jerusalem Temple; and Josephus's return to Rome in 71 and the publication of The Jewish War. The paper shows that these themes overlap with this Gospel and are at least consistently supportive of the claim that Rome is the place of composition. The paper refers positively to a recent publication by Brian Incigneri that stresses the critical role of the Triumph of Vespasian and Titus in 71 as the catalytic event for Mark. [source] On the shape of the fringe of various types of random treesMATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 10 2009Michael Drmota Abstract We analyze a fringe tree parameter w in a variety of settings, utilizing a variety of methods from the analysis of algorithms and data structures. Given a tree t and one of its leaves a, the w(t,,a) parameter denotes the number of internal nodes in the subtree rooted at a's father. The closely related w,(t,,a) parameter denotes the number of leaves, excluding a, in the subtree rooted at a's father. We define the cumulative w parameter as W(t) = ,aw(t,,a), i.e. as the sum of w(t,,a) over all leaves a of t. The w parameter not only plays an important rôle in the analysis of the Lempel,Ziv '77 data compression algorithm, but it is captivating from a combinatorial viewpoint too. In this report, we determine the asymptotic behavior of the w and W parameters on a variety of types of trees. In particular, we analyze simply generated trees, recursive trees, binary search trees, digital search trees, tries and Patricia tries. The final section of this report briefly summarizes and improves the previously known results about the w, parameter's behavior on tries and suffix trees, originally published in one author's thesis (see Analysis of the multiplicity matching parameter in suffix trees. Ph.D. Thesis, Purdue University, West Lafayette, IN, U.S.A., May 2005; Discrete Math. Theoret. Comput. Sci. 2005; AD:307,322; IEEE Trans. Inform. Theory 2007; 53:1799,1813). This survey of new results about the w parameter is very instructive since a variety of different combinatorial methods are used in tandem to carry out the analysis. Copyright © 2008 John Wiley & Sons, Ltd. [source] Approximate transmission conditions through a weakly oscillating thin layerMATHEMATICAL METHODS IN THE APPLIED SCIENCES, Issue 4 2009Clair Poignard Abstract We study the behavior of the electro-quasistatic voltage potentials in a material composed by a bidimensional medium surrounded by a weakly oscillating thin layer and embedded in an ambient medium. We build approximate transmission conditions in order to replace the layer by these conditions on the boundary of the interior material. We deal with a weakly oscillating thin layer: the period of the oscillations is greater than the square root of the thinness. Our approach is essentially geometric and based on a suitable change of variable in the layer. This paper extends previous works (Méthodes asymptotiques pour le calcul de champs électromagnétiques dans des milieux ŕ couche mince. Application aux cellules biologiques. Thesis, Université Lyon 1, France, November 2006; IEEE Trans. Magn. 2007. http://hal.archives-ouvertes.fr/hal-00165049/fr.) of the former author, in which the layer had constant thickness. Copyright © 2008 John Wiley & Sons, Ltd. [source] Proto-professionalism: how professionalisation occurs across the continuum of medical educationMEDICAL EDUCATION, Issue 1 2005Sean R Hilton Introduction, Professionalism and its assessment across the medical education continuum have become prominent topics in recent years. We consider the nature of professionalism and how it emerges and relates to the work carried out by doctors and doctors-in-training. Thesis and Discussion, We suggest 6 domains in which evidence of professionalism can be expected: ethical practice; reflection/self-awareness; responsibility for actions; respect for patients; teamwork, and social responsibility. Furthermore, we propose that a defining characteristic is encapsulated by the Greek term phronesis, or practical wisdom. Phronesis is acquired only after a prolonged period of experience (and reflection on experience) occurring in concert with the professional's evolving knowledge and skills base. The prior period we have termed as one of ,proto-professionalism'. Influences on proto-professionalism are considered in terms of moral and psychosocial development and reflective judgement. Conclusion, Curricula that develop meta-skills will foster the acquisition and maintenance of professionalism. Adverse environmental conditions in the hidden curriculum may have powerful attritional effects. [source] Imagining Objects and Imagining ExperiencesMIND & LANGUAGE, Issue 4 2002Paul Noordhof A number of philosophers have argued in favour of the Dependency Thesis: if a subject sensorily imagines an F then he or she sensorily imagines from the inside perceptually experiencing an F in the imaginary world. They claim that it explains certain important features of imaginative experience, in brief: the fact that it is perspectival, the fact that it does not involve presentation of sensory qualities and the fact that mental images can serve a number of different imaginings. I argue that the Dependency Thesis is false and that, in any event, it does not have the explanatory credentials claimed for it. Some of the features of imaginative experience are incorrectly specified, namely the absence of presentation of sensory qualities. With a more precise idea of what we need to explain, I argue that the explanation should proceed by noting that imagination and perception have phenomenally similar contents and that this is to be explained in terms of the similar kinds of representations in play. I trace the consequences of my discussion for disjunctivist theories of perception, Berkeleian Idealism and the characterisation of knowing what an experience is like. [source] Path inequalities for the vehicle routing problem with time windowsNETWORKS: AN INTERNATIONAL JOURNAL, Issue 4 2007Brian Kallehauge Abstract In this paper we introduce a new formulation of the vehicle routing problem with time windows (VRPTW) involving only binary variables. The new formulation is based on the formulation of the asymmetric traveling salesman problem with time windows by Ascheuer et al. (Networks 36 (2000) 69,79) and has the advantage of avoiding additional variables and linking constraints. In the new formulation, time windows are modeled using path inequalities that eliminate time and capacity infeasible paths. We present a new class of strengthened path inequalities based on the polyhedral results obtained by Mak (Ph.D. Thesis, 2001) for a variant of the TSP. We study the VRPTW polytope and determine its dimension. We show that the lifted path inequalities are facet defining under certain assumptions. We also introduce precedence constraints in the context of the VRPTW. Computational experiments are performed with a branch and cut algorithm on the Solomon test problems with wide time windows. Based on results on 25-node problems, the outcome is promising compared to leading algorithms in the literature. In particular, we report a solution to a previously unsolved 50-node Solomon test problem R208. The conclusion is therefore that a polyhedral approach to the VRPTW is a viable alternative to the path formulation of Desrochers et al. (Oper Res 40 (1992), 342,354). © 2007 Wiley Periodicals, Inc. NETWORKS, Vol. 49(4), 273,293 2007 [source] | ||||||||||||||||||||||||||||||||||||||||||||||||||||