We are interested in queues which customers of different classes arrive to a service facility, and where performance targets specified for each class. The manager such queue has the task implementing queueing discipline that results all being met simultaneously. For case terms ratios mean waiting times, as long ago 1960s, Kleinrock suggested ensure achieved. He proposed accumulate priority linear function their time queue: higher urgency customer's class, greater rate at customer accumulates...

This paper presents the Laplace transform of time until ruin for a fairly general risk model. The model includes both classical and most Sparre-Andersen models with phase-distributed claim amounts as special cases. It also allows correlated arrival processes, sizes that depend upon environmental factors such periods contagion. exploits relationship between surplus process fluid queues, where number recent developments have provided basis our analysis.

JACK KEROUAC AND ALLEN GINSBERG THE LETTERS PDF Are you searching for Books files? Now, will be happy that at this time is available our online library. With complete resources, could find or just found any kind of your readings everyday.

We consider the distribution of deficit at ruin in Sparre Andersen renewal risk model given that occurs. show if individual claim amounts have a phase-type distribution, then there is simple representation for deficit. illustrate application this result with several examples.

The present paper extends the “Erlangization” idea introduced by Asmussen, Avram, and Usabel (2002) to Sparre-Andersen stationary renewal risk models. Erlangization yields an asymptotically-exact method for calculating finite time ruin probabilities with phase-type claim amounts. is based on finding probability of prior a random horizon, independent process. When horizon follows Erlang- l distribution, provides sequence approximations that converges true finite-time as increases....

Organ transplantation is a vital therapy for the treatment of many patients. Due to blood compatibility rules, there has been pattern in jurisdictions differing organ types where recipients type O experience longer waiting times than those other types, partly due cross-transplantation too organs compatible donors types. In response this, recent development some change rules insist upon ABO-identical transplantation. The literature review herein enables us conclude that unrestricted not...

Abstract We use the compound Poisson probability distribution to model annual area burned by forest fires in Canadian province of Ontario. Models for sums‐of‐random variables, relevant modeling aggregate insurance claims and assessing risk are also based on sums sizes individual fires. Researchers have fit fire truncated power‐law (or Pareto) (Ward et al ., 2001) a four‐parameter Weibull (Reed McKelvey, 2002 ). Armstrong ( 1999 ) fitted lognormal proportion region Alberta. derive expressions...

This paper presents an explicit characterization for the joint probability density function of surplus immediately prior to ruin and deficit at a general risk process, which includes Sparre-Andersen model with phase-type inter-claim times claim sizes. The can also accommodate Markovian arrival process enables sizes be correlated times. marginal is specifically considered. Several numerical examples are presented illustrate application this result.

In this paper, we consider a class of perturbed risk processes that have an underlying Markov structure, including Markov-modulated processes, and Sparre–Andersen when both inter-claim times claim sizes are phase-type. We apply the Erlangization method to process in order obtain accurate approximation finite time ruin probability. addition, develop efficient recursive procedure by recognizing repeating structure probability matrices work with. believe present is among first either compute or...

Abstract Finite time ruin methods typically rely on diffusion approximations or discretization. We propose a new method by looking at the surplus process embedded claim instants and develop recursive scheme for calculating probabilities. It is assumed that sizes follow phase-type distribution. The proposed exact. application of reveals where in future relative vulnerability to company lies.

Numerous organizations are required to provide service in two languages the same local area. Within each such region, one language (the majority language) predominates, but adequate second minority must be maintained. The servers hired by organization either speak both (bilingual), or only (unilingual). This paper presents a server provisioning scenario for handling this mix of traffic. queueing model problem is then presented. Performance measures that derived include average delays, queue...

AbstractThis paper explores the use of phase-type models in actuarial calculations for disability insurance. We demonstrate that changes status insureds can be appropriately captured by a model. Our model represents aging process as passage through number phases decreasing vitality. When disabled, individuals additionally pass several stages represent duration disability. Recovery and mortality rates from earlier are greater than those later stages. Using such model, explicit easily...

In 1964, Kleinrock proposed a queueing discipline for single-server queue in which customers from different classes accumulate priority as linear functions of their waiting time. At the instant that server becomes free, it selects customer with highest accumulated priority, provided is nonempty. He developed recursion calculating expected time each class. 2014, Stanford, Taylor, and Ziedins reconsidered this queue, they termed accumulating (APQ), derived distribution Finkelstein 1967 also...

Two purposes of Short Stay Units (SSU) are the reduction Emergency Department crowding and increased urgent patient admissions. At an SSU patients temporarily held until they either can go home or transferred to inpatient ward. In this paper we present overflow model evaluate effect employing on elective

The present paper extends the “Erlangization” idea introduced by Asmussen, Avram, and Usabel (2002) to Sparre-Andersen stationary renewal risk models. Erlangization yields an asymptotically-exact method for calculating finite time ruin probabilities with phase-type claim amounts. is based on finding probability of prior a random horizon, independent process. When horizon follows Erlang- l distribution, provides sequence approximations that converges true finite-time as increases....