scholarly journals Queuing System with Two Types of Customers and Dynamic Change of a Priority

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 824 ◽  
Author(s):  
Valentina Klimenok ◽  
Alexander Dudin ◽  
Olga Dudina ◽  
Irina Kochetkova

The use of priorities allows us to improve the quality of service of inhomogeneous customers in telecommunication networks, inventory and health-care systems. An important modern direction of research is to analyze systems in which priority of a customer can be changed during his/her stay in the system. We considered a single-server queuing system with a finite buffer, where two types of customers arrive according to a batch marked Markov arrival process. Type 1 customers have non-preemptive priority over type 2 customers. Low priority customers are able to receive high priority after the random amount of time. For each non-priority customer accepted into the buffer, a timer, which counts a random time having a phase type distribution, is switched-on. When the timer expires, the customer with some probability leaves the system unserved and with the complimentary probability gains the high priority. Such a type of queues is typical in many health-care systems, contact centers, perishable inventory, etc. We describe the behavior of the system by a multi-dimensional continuous-time Markov chain and calculate a number of the stationary performance measures of the system including the various loss probabilities as well as the distribution function of the waiting time of priority customers. The illustrative numerical examples giving insights into the system behavior are presented.

2016 ◽  
Vol 26 (2) ◽  
pp. 367-378 ◽  
Author(s):  
Alexander Dudin ◽  
Moon Ho Lee ◽  
Sergey Dudin

Abstract A single-server queueing system with an infinite buffer is considered. The service of a customer is possible only in the presence of at least one unit of energy, and during the service the number of available units decreases by one. New units of energy arrive in the system at random instants of time if the finite buffer for maintenance of energy is not full. Customers are impatient and leave the system without service after a random amount of waiting time. Such a queueing system describes, e.g., the operation of a sensor node which harvests energy necessary for information transmission from the environment. Aiming to minimize the loss of customers due to their impatience (and maximize the throughput of the system), a new strategy of control by providing service is proposed. This strategy suggests that service temporarily stops if the number of customers or units of energy in the system becomes zero. The server is switched off (is in sleep mode) for some time. This time finishes (the server wakes up) if both the number of customers in the buffer and the number of energy units reach some fixed threshold values or when the number of energy units reaches some threshold value and there are customers in the buffer. Arrival flows of customers and energy units are assumed to be described by an independent Markovian arrival process. The service time has a phase-type distribution. The system behavior is described by a multi-dimensional Markov chain. The generator of this Markov chain is derived. The ergodicity condition is presented. Expressions for key performance measures are given. Numerical results illustrating the dependence of a customer’s loss probability on the thresholds defining the discipline of waking up the server are provided. The importance of the account of correlation in arrival processes is numerically illustrated.


2004 ◽  
Vol 171 (4S) ◽  
pp. 42-43 ◽  
Author(s):  
Yair Latan ◽  
David M. Wilhelm ◽  
David A. Duchene ◽  
Margaret S. Pearle

2014 ◽  
Vol 1 (1) ◽  
pp. 41-46
Author(s):  
Nevin Altıntop

What is the perception of Turkish migrants in elderly care? The increasing number of elder migrants within the German and Austrian population is causing the challenge of including them in an adequate (culturally sensitive) way into the German/Austrian health care system. Here I introduce the perception of elder Turkish migrants within the predominant paradigm of intercultural opening of health care in Germany as well as within the concept of diversity management of health care in Vienna (Austria). The qualitative investigation follows a field research in different German and Austrian cities within the last four years and an analysis based on the Grounded Theory Methodology. The meaning of intercultural opening on the one hand, and diversity management on the other hand with respect to elderly care will be evaluated. Whereas the intercultural opening directly demands a reduction of barriers to access institutional elderly care the concept of diversity is hardly successful in the inclusion of migrants into elderly care assistance – concerning both, migrants as care-givers and migrants as care-receivers. Despite the similarities between the health care systems of Germany and Austria there are decisive differences in the perception and inclusion of migrants in elderly care that is largely based on an 'individual care' concept of the responsible institutions. Finally, this investigation demonstrates how elderly care in Germany and Austria prepares to encounter the demand of 'individual care' in a diverse society.


2015 ◽  
Vol 1 (2) ◽  
pp. 321-346 ◽  
Author(s):  
Shiri Noy ◽  
Patricia A. McManus

Are health care systems converging in developing nations? We use the case of health care financing in Latin America between 1995 and 2009 to assess the predictions of modernization theory, competing strands of globalization theory, and accounts of persistent cross-national differences. As predicted by modernization theory, we find convergence in overall health spending. The public share of health spending increased over this time period, with no convergence in the public-private mix. The findings indicate robust heterogeneity of national health care systems and suggest that globalization fosters human investment health policies rather than neoliberal, “race to the bottom” cutbacks in public health expenditures.


2017 ◽  
Vol 1 (1) ◽  
pp. 41
Author(s):  
Angeliki Moisidou

A statistical analysis has been conducted with the aim to elucidate the effect of health care systems (HSs) on health inequalities assessed in terms of (a) differential access to health care services and (b) varying health outcomes among different models of HSs in EU-15 ((Beveridge: UK, IE, SE, FI, DK), (Bismarck: DE, FR, BE, LU, AT, NL), (Southern European model: GR, IT, ES, PT)). In the effort to interpret the results of the empirical analysis, we have ascertained systematic differences among the HSs in EU-15. Specifically, it is concluded that countries with Beveridge HS can be characterized more efficient (than average) in the most examined correlations, showing particularly high performance in the health sector. Similarly, countries with Bismarck HS record fairly satisfactory performance, but simultaneously they display more structural weaknesses compared with the Beveridge model. In addition, our empirical analysis has shown that adopting Bismarck model requires higher economic cost, compared with the Beveridge model, which is directly financed by taxation. On the contrary, in the countries with Southern European HS, the lowest performances are generally identified, which can be attributed to the residual social protection that characterizes these countries. The paper concludes with a synthesis of the empirical findings of our research. It proposes some directions for further research and presents a set of implications for policymakers regarding the planning and implementation of appropriate policies in order to tackle health inequality within HSs.


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