Queues with retrial/self-generation of priorities /postponement of work and some related reliability problems

Application of Queueing theory in areas like Computer networking, ATM facilities, Telecommunications and to many other numerous situation made people study Queueing models extensively and it has become an ever expanding branch of applied probability. The thesis discusses Reliability of a ‘k-out-of-n system’ where the server also attends external customers when there are no failed components (main customers), under a retrial policy, which can be explained in detail. It explains the reliability of a ‘K-out-of-n-system’ where the server also attends external customers and studies a multi-server infinite capacity Queueing system where each customer arrives as ordinary but can generate into priority customer which waiting in the queue. The study gives details on a finite capacity multi-server queueing system with self-generation of priority customers and also on a single server infinite capacity retrial Queue where the customer in the orbit can generate into a priority customer and leaves the system if the server is already busy with a priority generated customer; else he is taken for service immediately. Arrival process is according to a MAP and service times follow MSP.

Impact of Self-generation of Priorities and Non-preemptive Service in Single/Multiserver Queues

In this thesis we have studied a few models involving self-generation of priorities. Priority queues have been extensively discussed in literature. However, these are situations involving priority assigned to (or possessed by) customers at the time of their arrival. Nevertheless, customers generating into priority is a common phenomena. Such situations especially arise at a physicians clinic, aircrafts hovering over airport running out of fuel but waiting for clearance to land and in several communication systems. Quantification of these are very little seen in literature except for those cited in some of the work indicated in the introduction. Our attempt is to quantify a few of such problems. In doing so, we have also generalized the classical priority queues by introducing priority generation ( going to higher priorities and during waiting). Systematically we have proceeded from single server queue to multi server queue. We also introduced customers with repeated attempts (retrial) generating priorities. All models that were analyzed in this thesis involve nonpreemptive service. Since the models are not analytically tractable, a large number of numerical illustrations were produced in each chapter to get a feel about the working of the systems.

What are the priorities for prevention and control of non-communicable diseases and injuries in sub-Saharan Africa and South East Asia?

Last year’s UN high level meeting sought to galvanise the international community into scaling up its response to the escalating global burden of non-communicable diseases. With resources tight, D Chisholm and colleagues examine which interventions should be given priority for action and investment

The experiences and priorities of young people who care for their siblings in Tanzania and Uganda

This report presents key findings from a small-scale pilot research project that explored the experiences and priorities of young people caring for their siblings in sibling-headed households affected by AIDS in Tanzania and Uganda. Qualitative and participatory research was conducted with 33 young people living in sibling-headed households and 39 NGO staff and community members in rural and urban areas of Tanzania and Uganda. The report analyses the ways that young people manage transitions to caring for their younger siblings following their parents’ death and the impacts of caring on their family relations, education, emotional wellbeing and health, social lives and their transitions to adulthood. The study highlights gendered- and age-related differences in the nature and extent of young people’s care work and discusses young people’s needs and priorities for action, based on the views of young people, NGO staff and community members. Meeting the basic needs of young people living in sibling-headed households, listening to young people’s views, fostering peer support and relationships of trust with supportive adults, raising awareness and advocacy emerge as key priorities to safeguard the rights of children and young people living in sibling-headed households and challenge the stigma and marginalisation they sometimes face.

Island ecosystems - priorities for conservation?

In terms of their land area, many islands contain a disproportionate number of taxa for certain groups of organisms. Thus the IUCN/WWF Centres of Plant Diversity project, which identifies 234 first order sites that are globally most important from a botanical point of view, includes a considerable proportion of islands, and in Conservation International’s Hotspot programme, Madagascar and the Indian Ocean Islands, the Philippines, and the Caribbean are identified as three of the five “hottest of the hotspots”. Priority for conservation action is often assumed for islands because of the often dramatic losses already suffered and the serious level of threats to which plant or animal populations are subjected, largely as a result of direct or indirect human action. The practicalities of conservation are not, however, straightforward in many cases. In the conservation of island hotspots of biodiversity, in addition to the many scientific and technical issues involved, political, financial and socio-economic factors also have to be addressed. The priorities for conservation will be examined in the light of targets set by the recently approved CBD Global Strategy for Plant Conservation and in the wider context of sustainable development of island ecosystems and the needs and aspirations of the people who inhabit them. Particular attention will be given to the threats from invasive species and the resultant increasing homogenization of floras and faunas, leading to the ‘deinsularization’ of islands.