Influence of service loading and the resulting micro-cracks on chloride resistance of concrete

Chloride-induced corrosion of steel in reinforced concrete structures is one of the main problems affecting their durability, but most previous research projects and case studies have focused on concretes without cracks or not subjected to any structural load. Although it has been recognised that structural cracks do influence the chloride transport and chloride induced corrosion in reinforced concrete structures, there is little published work on the influence of micro-cracks due to service loads on these properties. Therefore the effect of micro-cracks caused by loading on chloride transport into concrete was studied. Four different stress levels (0%, 25%, 50% and 75% of the stress at ultimate load – fu) were applied to 100 mm diameter concrete discs and chloride migration was measured using a bespoke test setup based on the NT BUILD 492 test. The effects of replacing Portland cement CEMI by ground granulated blast-furnace slag (GGBS), pulverised fuel ash (PFA) and silica fume (SF) on chloride transport in concrete under sustained loading were studied. The results have indicated that chloride migration coefficients changed little when the stress level was below 50% of the fu; however, it is desirable to keep concrete stress less than 25% fu if this is practical. The effect of removing the load on the change of chloride migration coefficient was also studied. A recovery of around 50% of the increased chloride migration coefficient was found in the case of concretes subjected to 75% of the fu when the load was removed.

An Evaluation of the Drug and Alcohol Service User Network in NI

Objectives:
The process evaluation will consider the views of the appointed SUN workers and representatives from selected service user groups as regards the setting up and maintenance of the SUN network. This component of the evaluation will also examine the perceptions of stakeholders from a number of relevant organisations.

The outcome evaluation will assess the effectiveness of the SUN project in achieving the intended outcomes as outlined in the original Action Plans.
The following outcomes will be evaluated:
To ascertain the level to which the SUN has provided support, information and advice to existing service user groups.
To examine the SUN co-ordination of Trust and regional networks of service user groups.
To consider how the SUN assists organisations to establish and maintain service user groups.
To examine the level of current and future membership of service users on relevant groups, with a particular focus on engagement of hard to reach populations.
To gauge service user perceptions of the Service User Network.
To examine the levels of training provided and consider the efficacy of training.

Performance analysis of 4G wireless networks using system level simulator

In the last decade, mobile wireless communications have witnessed an explosive growth in the user’s penetration rate and their widespread deployment around the globe. In particular, a research topic of particular relevance in telecommunications nowadays is related to the design and implementation of mobile communication systems of 4th generation (4G). 4G networks will be characterized by the support of multiple radio access technologies in a core network fully compliant with the Internet Protocol (all IP paradigms). Such networks will sustain the stringent quality of service (QoS) requirements and the expected high data rates from the type of multimedia applications (i.e. YouTube and Skype) to be available in the near future. Therefore, 4G wireless communications system will be of paramount importance on the development of the information society in the near future. As 4G wireless services will continue to increase, this will put more and more pressure on the spectrum availability. There is a worldwide recognition that methods of spectrum managements have reached their limit and are no longer optimal, therefore new paradigms must be sought. Studies show that most of the assigned spectrum is under-utilized, thus the problem in most cases is inefficient spectrum management rather spectrum shortage. There are currently trends towards a more liberalized approach of spectrum management, which are tightly linked to what is commonly termed as Cognitive Radio (CR). Furthermore, conventional deployment of 4G wireless systems (one BS in cell and mobile deploy around it) are known to have problems in providing fairness (users closer to the BS are more benefited relatively to the cell edge users) and in covering some zones affected by shadowing, therefore the use of relays has been proposed as a solution. To evaluate and analyse the performances of 4G wireless systems software tools are normally used. Software tools have become more and more mature in recent years and their need to provide a high level evaluation of proposed algorithms and protocols is now more important. The system level simulation (SLS) tools provide a fundamental and flexible way to test all the envisioned algorithms and protocols under realistic conditions, without the need to deal with the problems of live networks or reduced scope prototypes. Furthermore, the tools allow network designers a rapid collection of a wide range of performance metrics that are useful for the analysis and optimization of different algorithms. This dissertation proposes the design and implementation of conventional system level simulator (SLS), which afterwards enhances for the 4G wireless technologies namely cognitive Radios (IEEE802.22) and Relays (IEEE802.16j). SLS is then used for the analysis of proposed algorithms and protocols.

Defining the nation, defining public television: discourses of publics on public service television in post-communist Latvia

Institutional and political economy approaches have long dominated the study of post-Communist public broadcasting, as well as the entire body of post-Communist media transformations research, and the enquiry into publics of public broadcasting has traditionally been neglected. Though media scholars like to talk about a deep crisis in the relationship between public broadcasters and their publics in former Communist bloc countries across Central and Eastern Europe, little has been done to understand the relationship between public broadcasters and their publics in these societies drawing on qualitative audience research tradition. Building on Hirschman’s influential theory of ‘exit, voice and loyalty’, which made it possible to see viewing choices audiences make as an act of agency, in combination with theoretical tools developed within the framework of social constructionist approaches to national imagination and broadcasting, my study focuses on the investigation of responses publics of the Latvian public television LTV have developed vis-à-vis its role as contributing to the nation-building project in this ex-Soviet Baltic country. With the help of focus groups methodology and family ethnography, the thesis aims to explore the relationship between the way members of the ethno-linguistic majority of Latvian-speakers and the sizeable ethno-linguistic minority of Russian-speakers conceptualize the public broadcaster LTV, as well as understand the concept of public broadcasting more generally, and the way they define the national ‘we’. The study concludes that what I call publics of LTV employ Hirschman’s described exit mechanism as a voice-type response. Through their rejection of public television which, for a number of complex reasons they consider to be a state broadcaster serving the interests of those in power they voice their protest against the country’s political establishment and in the case of its Russian-speaking publics also against the government’s ethno-nationalistic conception of the national ‘we’. I also find that though having exited from the public broadcaster LTV, its publics have not abandoned the idea of public broadcasting as such. At least at a normative level the public broadcasting ideals are recognized, accepted and valued, though they are not necessarily associated with the country’s de jure institutional embodiment of public broadcasting LTV. Rejection of the public television has also not made its non-loyal publics ‘less citizens’. The commercial rivals of LTV, be they national or, in the case of Russian-speaking audiences, localized transnational Russian television, have allowed their viewers to exercise citizenship and be loyal nationals day in day out in a way that is more liberal and flexible than the hegemonic form of citizenship and national imagination of the public television LTV can offer.

An exploratory study of how a Korean chaebol’s learning culture facilitates customer service

This paper explains how the organizational learning concept is used by managers in a global Korean company to promote group work, information sharing and an open communication style in order to produce a high level of customer service. Previously collected data from a set of in-depth personal interviews undertaken with three senior managers in a Korean electronics company were analyzed and interpreted using the grounded theory approach, and a number of propositions are put forward. The research findings show that managers in a chaebol deploy organizational learning to identify skilled and knowledgeable staff, and improve the organization’s capability by placing emphasis on developing harmonious, mutually oriented relationships that permeate throughout the organization. Top management demand that staff identify with government economic objectives and align the organization’s strategy accordingly so that the products produced are marketable. To achieve this, the organization fosters continual interaction among managers throughout the organization’s hierarchy. The chaebol’s organizational learning model encapsulates a “corollary” (continual communication) and “tools” (cultural influence and relationship management), and manifests in a unique strategy that allows management systems to evolve naturally.

Level monitoring system for waste oil containers: an EPS@ISEP project

Waste oil recycling companies play a very important role in our society. Competition among companies is tough and process optimization is essential for survival. By equipping oil containers with a level monitoring system that periodically reports the level and alerts when it reaches the preset threshold, the oil recycling companies are able to streamline the oil collection process and, thus, reduce the operation costs while maintaining the quality of service. This paper describes the development of this level monitoring system by a team of four students from different engineering backgrounds and nationalities. The team conducted a study of the state of the art, draw marketing and sustainable development plans and, finally, designed and implemented a prototype that continuously measures the container content level and sends an alert message as soon as it reaches the preset capacity.

A marketing plan for the ice cream brand Max Adventures in food service

A Work Project, presented as part of the requirements for the Award of a Masters Degree in Management from the NOVA – School of Business and Economics

Role of Intersectoral Collaboration in Mental Health Policy Formulation And Service Delivery in Saint Lucia

RESUMO: Santa Lúcia pequena ilha de país em desenvolvimento com recursos limitados e é confrontada com uma série de desafios socioeconômicos que exigem soluções criativas e inovadoras. É comprovado que a combinação de recursos entre setores para estabelecer os determinantes social, econômico e ambiental da saúde são uma estratégia útil para melhorar a saúde da população, principalmente a sua saúde mental. Este estudo, o primeiro do seu tipo em Santa Lúcia, procurou examinar até que ponto a disponibilidade de uma política nacional de saúde mental levou a ação intersetorial para o fornecimento de serviços e promoção da saúde mental. Além disso, o estudo examinou o nível de colaboração intersetorial que existe entre as agências que prestam cuidados diretos e serviços de suporte para pessoas com doenças mentais e problemas sérios de saúde mental. O estudo também teve como objetivo identificar os fatores que promovem ou dificultam a colaboração intersectorial e gerar recomendações que possam ser aplicadas para países muito pequenos e com perfis socioeconômicos semelhantes. Os dados gerados a partir de três (3) fontes foram sintetizados para formar uma visão ampla das questões. Uma avaliação da política de saúde mental de 2007, uma avaliação que identifica até que ponto a ação intersetorial atualmente deixa a prestação de serviços de saúde mental e a administração de entrevistas semiestruturadas nas mãos de gestores do programa de diferentes agências em todos os setores. O estudo concluiu que, apesar da disponibilidade de uma política de saúde mental, que articula clara e explicitamente a colaboração intersetorial como área prioritária para ação, quase não existe no sistema de fornecimento atual do serviço. Os provedores de serviços em todos os setores reconhecem que há os benefícios da colaboração intersectorial e com entraves significativos em relação à colaboração intersetorial, que por sua vez, impede uma abordagem nacional para o planejamento e o fornecimento do serviço. A colaboração intersetorial não será possível se os próprios setores dependerem da abordagem direta do setor da saúde ou se a atmosfera geral for ofuscada pela estigmatização das doenças mentais.------------------------------------------------------------------------ABSTRACT: Saint Lucia a small island developing country with limited resources, is faced with a number of socio-economic challenges which require creative and innovative solutions to address. Combining resources across sectors to address the social, economic and environmental determinants of health has proven to be a useful strategy for improving population health in particular mental health. This study, the first of its kind for Saint Lucia sought to examine the extent to which the availability of a national mental health policy led to intersectoral action for mental health promotion and service delivery. In addition the study examined the level of intersectoral collaboration which actually exist between agencies which provide direct care and support services to people with mental illnesses and significant mental health problems. The study also aimed to identify the factors which promote or hinder intersectoral collaboration and generate recommendations which can be applied to extremely small countries with similar socio-economic profiles. Data generated from three (3) sources was synthesized to form a broad picture of the issues. An evaluation of the mental health policy of 2007, an assessment of the extent to which intersectoral action currently exist in mental health service delivery and the administration of semi-structured interviews with program managers from different agencies across sectors to identify implementation issues. The study concluded that despite the availability of a mental health policy which clearly and explicitly articulates intersectoral collaboration as a priority area for action, very little exists in the current service delivery system. Services providers across sectors acknowledge the benefits of intersectoral collaboration and that there are significant barriers to intersectoral collaboration, which in turn hinders a national approach to service planning and delivery. Intersectoral collaboration is not possible if sectors themselves are dependent on a top-down health sector driven and dominated approach, or if the general atmosphere is clouded by stigmatization of mental health illnesses.

Management Material: Understanding the Contradictory Perspectives of Lower Level Managers in a Canadian Call Centre

Call centres have emerged during a time of rapid technological change and represent a form of ready employment for those seeking to replace or supplement "traditional" forms of employment. Call centre work is considered characteristic of the kinds of service work available in the new economy. This paper examines the experiences and practices of lower level managers in a call centre in southern Ontario. Findings are based on analysis of semi-structured interviews. The findings suggest that lower level managers resolve the contradictory social space they occupy by aligning themselves primarily with more powerful executives, in part because they know this might lead to increased job security. The implications of this trend for building a strong labour movement capable of combating neoliberal discourses regarding the need for work restructuring are discussed.

Scheduled service network design for integrated planning of rail freight transportation

Cette thèse étudie une approche intégrant la gestion de l’horaire et la conception de réseaux de services pour le transport ferroviaire de marchandises. Le transport par rail s’articule autour d’une structure à deux niveaux de consolidation où l’affectation des wagons aux blocs ainsi que des blocs aux services représentent des décisions qui complexifient grandement la gestion des opérations. Dans cette thèse, les deux processus de consolidation ainsi que l’horaire d’exploitation sont étudiés simultanément. La résolution de ce problème permet d’identifier un plan d’exploitation rentable comprenant les politiques de blocage, le routage et l’horaire des trains, de même que l’habillage ainsi que l’affectation du traffic. Afin de décrire les différentes activités ferroviaires au niveau tactique, nous étendons le réseau physique et construisons une structure de réseau espace-temps comprenant trois couches dans lequel la dimension liée au temps prend en considération les impacts temporels sur les opérations. De plus, les opérations relatives aux trains, blocs et wagons sont décrites par différentes couches. Sur la base de cette structure de réseau, nous modélisons ce problème de planification ferroviaire comme un problème de conception de réseaux de services. Le modèle proposé se formule comme un programme mathématique en variables mixtes. Ce dernie r s’avère très difficile à résoudre en raison de la grande taille des instances traitées et de sa complexité intrinsèque. Trois versions sont étudiées : le modèle simplifié (comprenant des services directs uniquement), le modèle complet (comprenant des services directs et multi-arrêts), ainsi qu’un modèle complet à très grande échelle. Plusieurs heuristiques sont développées afin d’obtenir de bonnes solutions en des temps de calcul raisonnables. Premièrement, un cas particulier avec services directs est analysé. En considérant une cara ctéristique spécifique du problème de conception de réseaux de services directs nous développons un nouvel algorithme de recherche avec tabous. Un voisinage par cycles est privilégié à cet effet. Celui-ci est basé sur la distribution du flot circulant sur les blocs selon les cycles issus du réseau résiduel. Un algorithme basé sur l’ajustement de pente est développé pour le modèle complet, et nous proposons une nouvelle méthode, appelée recherche ellipsoidale, permettant d’améliorer davantage la qualité de la solution. La recherche ellipsoidale combine les bonnes solutions admissibles générées par l’algorithme d’ajustement de pente, et regroupe les caractéristiques des bonnes solutions afin de créer un problème élite qui est résolu de facon exacte à l’aide d’un logiciel commercial. L’heuristique tire donc avantage de la vitesse de convergence de l’algorithme d’ajustement de pente et de la qualité de solution de la recherche ellipsoidale. Les tests numériques illustrent l’efficacité de l’heuristique proposée. En outre, l’algorithme représente une alternative intéressante afin de résoudre le problème simplifié. Enfin, nous étudions le modèle complet à très grande échelle. Une heuristique hybride est développée en intégrant les idées de l’algorithme précédemment décrit et la génération de colonnes. Nous proposons une nouvelle procédure d’ajustement de pente où, par rapport à l’ancienne, seule l’approximation des couts liés aux services est considérée. La nouvelle approche d’ajustement de pente sépare ainsi les décisions associées aux blocs et aux services afin de fournir une décomposition naturelle du problème. Les résultats numériques obtenus montrent que l’algorithme est en mesure d’identifier des solutions de qualité dans un contexte visant la résolution d’instances réelles.

Routage adaptatif et qualité de service dans les réseaux optiques à commutation de rafales

Les réseaux optiques à commutation de rafales (OBS) sont des candidats pour jouer un rôle important dans le cadre des réseaux optiques de nouvelle génération. Dans cette thèse, nous nous intéressons au routage adaptatif et au provisionnement de la qualité de service dans ce type de réseaux. Dans une première partie de la thèse, nous nous intéressons à la capacité du routage multi-chemins et du routage alternatif (par déflection) à améliorer les performances des réseaux OBS, pro-activement pour le premier et ré-activement pour le second. Dans ce contexte, nous proposons une approche basée sur l’apprentissage par renforcement où des agents placés dans tous les nœuds du réseau coopèrent pour apprendre, continuellement, les chemins du routage et les chemins alternatifs optimaux selon l’état actuel du réseau. Les résultats numériques montrent que cette approche améliore les performances des réseaux OBS comparativement aux solutions proposées dans la littérature. Dans la deuxième partie de cette thèse, nous nous intéressons au provisionnement absolu de la qualité de service où les performances pire-cas des classes de trafic de priorité élevée sont garanties quantitativement. Plus spécifiquement, notre objectif est de garantir la transmission sans pertes des rafales de priorité élevée à l’intérieur du réseau OBS tout en préservant le multiplexage statistique et l’utilisation efficace des ressources qui caractérisent les réseaux OBS. Aussi, nous considérons l’amélioration des performances du trafic best effort. Ainsi, nous proposons deux approches : une approche basée sur les nœuds et une approche basée sur les chemins. Dans l’approche basée sur les nœuds, un ensemble de longueurs d’onde est assigné à chaque nœud du bord du réseau OBS pour qu’il puisse envoyer son trafic garanti. Cette assignation prend en considération les distances physiques entre les nœuds du bord. En outre, nous proposons un algorithme de sélection des longueurs d’onde pour améliorer les performances des rafales best effort. Dans l’approche basée sur les chemins, le provisionnement absolu de la qualité de service est fourni au niveau des chemins entre les nœuds du bord du réseau OBS. À cette fin, nous proposons une approche de routage et d’assignation des longueurs d’onde qui a pour but la réduction du nombre requis de longueurs d’onde pour établir des chemins sans contentions. Néanmoins, si cet objectif ne peut pas être atteint à cause du nombre limité de longueurs d’onde, nous proposons de synchroniser les chemins en conflit sans le besoin pour des équipements additionnels. Là aussi, nous proposons un algorithme de sélection des longueurs d’onde pour les rafales best effort. Les résultats numériques montrent que l’approche basée sur les nœuds et l’approche basée sur les chemins fournissent le provisionnement absolu de la qualité de service pour le trafic garanti et améliorent les performances du trafic best effort. En outre, quand le nombre de longueurs d’ondes est suffisant, l’approche basée sur les chemins peut accommoder plus de trafic garanti et améliorer les performances du trafic best effort par rapport à l’approche basée sur les nœuds.

Le Service à la famille de l'organisme Dans la rue : points de vue et expériences de jeunes qui y ont fait appel

Malgré l’intérêt accru du public et de la recherche durant les deux dernières décennies pour le phénomène des jeunes de la rue, certains aspects de leurs réalités sont encore peu examinés et mal connus. L’un de ces aspects concerne la parentalité. Pour mieux comprendre les besoins des jeunes en situation de rue qui sont parents ou en voie de l’être et comprendre dans quelle mesure un service s’adressant spécifiquement à eux arrive à y répondre, cette étude a cherché à décrire et comprendre l’expérience d’utilisation du Service à la famille de l’organisme Dans la rue, telle que vécue par des jeunes qui s’y sont adressés. Plus précisément, les objectifs étaient de : situer le Service à la famille dans la démarche de recherche d’aide des jeunes; comprendre ce qui amène un jeune à utiliser le Service à la famille et les activités qui y sont offertes; décrire l’expérience d’utilisation du service; connaître la perception qu’en ont les jeunes; et estimer leur appréciation du service. Pour ce faire, des entrevues semi-dirigées par téléphone ont eu lieu avec neuf jeunes ayant eu un suivi au Service à la famille, au cours desquelles certains thèmes ont été explorés : la recherche d’aide en lien avec la situation parentale, l’expérience d’utilisation des services et des activités du Service à la famille, le portrait de celui-ci, et la satisfaction à son égard. Au moment de l’entrevue, tous les jeunes étaient parents d’au moins un enfant et la majorité d’entre eux avait fait appel au Service à la famille la première fois durant la grossesse pour de l’aide sous diverses formes en rapport à celle-ci. Des besoins de divers ordres ont amené les jeunes à faire appel au Service à la famille. Ceux-ci pouvaient être comblés, mais pas nécessairement toujours, par le biais des rencontres avec les intervenantes du Service à la famille et par la participation aux activités de groupe offertes par la ressource et, par ailleurs, pouvaient concorder avec les objectifs d’intervention explicites du service. Dans l’ensemble, les entrevues suggèrent que les jeunes perçoivent le Service à la famille et, plus précisément, les intervenantes qui y travaillent, d’un œil favorable. Les interviewés formulent en effet une appréciation positive sur un bon nombre d’éléments se rapportant à leur expérience d’utilisation de la ressource. Des jeunes perçoivent néanmoins des limites dans la capacité du Service à la famille à fournir l’aide attendue, notamment des restrictions budgétaires et une surcharge de travail des intervenantes liée à une forte demande de services. Même si les jeunes n’ont pas nécessairement demandé de l’aide de la ressource dans l’optique de prévenir la violence familiale et la négligence, mandat premier du Service à la famille, une bonne part d’entre eux reconnaissent avoir reçu de l’aide utile à cet égard de la part des intervenantes, notamment lorsqu’ils ont rapporté avoir vécu des relations amoureuses teintées de violence conjugale. Ils reconnaissent également différentes façons par le biais desquelles les intervenantes les auraient encouragés à être bien et à prendre soin d’eux-mêmes afin de pouvoir bien s’occuper de leur(s) enfant(s). Tous les jeunes interviewés ont exprimé une satisfaction à l’égard du suivi reçu au Service à la famille et ils ont affirmé qu’ils le recommanderaient à d’autres personnes. L’approche d’intervention préconisée par la ressource est considérée comme un point fort dans la réponse aux besoins des jeunes. Cette approche aurait permis aux jeunes devenus parents d’être aidés en fonction de ce dont ils avaient besoin à un moment précis. L’un des aspects de l’utilisation du service qui gagneraient à être améliorés, aux yeux des jeunes, est l’accessibilité; l’aide dont les interviewés considéraient avoir besoin n’ayant pas toujours été à leur disposition alors qu’ils l’avaient demandée. Devant la perception d’un manque de disponibilité des intervenantes, des jeunes proposent des pistes d’amélioration qui permettraient à l’aide dispensée par le Service à la famille d’être plus accessible aux jeunes quand ils considèrent en avoir besoin.

How to build a bioinformatics service in a year

Introduction: Biomedical scientists need to choose among hundreds of publicly available bioinformatics applications, tools, and databases. Librarian challenges include raising awareness to valuable resources, as well as providing support in finding and evaluating specific resources. Our objective is to implement an education program in bioinformatics similar to those offered in other North American academic libraries. Description: Our initial target clientele included four research departments of the Faculty of Medicine at Universite´ de Montréal. In January 2010, I attended two departmental meetings and interviewed a few stakeholders in order to propose a basic bioinformatics service: one-to-one consultations and a workshop on NCBI databases. The response was favourable. The workshop was thus offered once a month during the Winter and Fall semesters, and participants were invited to evaluate the workshop via an online survey. In addition, a bioinformatics subject guide was launched on the library’s website in December 2010. Outcomes: One hundred and two participants attended one of the nine NCBI workshops offered in 2010; most were graduate students (74%). The survey’s response rate was 54%. A majority of respondents thought that the bioinformatics resources featured in the workshop were relevant (95%) and that the difficulty level of exercises was appropriate (84%). Respondents also thought that their future information searches would be more efficient (93%) and that the workshop should be integrated in a course (78%). Furthermore, five bioinformatics-related reference questions were answered and two one-to-one consultations with students were performed. Discussion: The success of our bioinformatics service is growing. Future directions include extending the service to other biomedical departments, integrating the workshop in an undergraduate course, promoting the subject guide to other francophone universities, and creating a bioinformatics blog that would feature specific databases, news, and library resources.

Décrire quantitativement les interventions téléphoniques des infirmières au service Info-Santé selon le niveau de compétence novice - compétent - expert

Ce mémoire est un des segments d'une recherche de plus grande envergure sur le service Info-Santé, et qui se déroule au Centre de Santé et de Services sociaux de Laval.

Stochastic Inventory with/without Service Time, Reneging and Retrial of Customers

This thesis Entitled Stochastic modelling and analysis.This thesis is divided into six chapters including this introductory chapter. In second chapter, we consider an (s,S) inventory model with service, reneging of customers and finite shortage of items.In the third chapter, we consider an (s,S) inventoiy system with retrial of customers. Arrival of customers forms a Poisson process with rate. When the inventory level depletes to s due to demands, an order for replenishment is placed.In Chapter 4, we analyze and compare three (s,S) inventory systems with positive service time and retrial of customers. In all these systems, arrivals of customers form a Poisson process and service times are exponentially distributed. In chapter 5, we analyze and compare three production inventory systems with positive service time and retrial of customers. In all these systems, arrivals of customers form a Poisson process and service times are exponentially distributed.In chapter 6, we consider a PH /PH /l inventory model with reneging of customers and finite shortage of items.