scholarly journals Analysis and evaluation of the functionality of the mass service system on the basis of customs of truck vehicles

2018 ◽  
Vol 19 (6) ◽  
pp. 906-910
Author(s):  
Andrzej Lewiński ◽  
Marta Żurek-Mortka

Paper discussed the modeling of customs processes for truck vehicles using the Markov processes and mass service theory (queue theory), showing the operation of the notification handling system as a system dependent on random events. The system is characterized as a system with Poisson input stream, exponential service time and many service stations. The results are presented in the form of graphs based on real data received from the customs office

2020 ◽  
Vol 14 (1) ◽  
pp. 46-49
Author(s):  
M. T. Toshboltaev ◽  
Z. A. Seytimbetova

The authors showed that the multichannel system state graph of modern tractors, combines and agricultural machinery in Uzbekistan, by the nature of its functioning, was a kind of mass service system. They confirmed that this circumstance was not taken into account when studying the existing system of corporate technical service. They pointed out the relevance of determining the influence of the branded technical service system parameters on its condition using the methods of the mass service theory. (Research purpose) To evaluate the state parameters of a proprietary technical service multichannel system according to the results of the timing of combine harvesters maintenance. (Materials and methods) The authors studied the multi-channel system state graph of a proprietary technical service without a queue. The system included 109 Case-2166 combine harvesters and 7 car-mobile workshops. They used the methods of mass service theory. (Results and discussion) The authors established a linear relationship between the number of occupied car-mobile workshops and the average value of the service time at a constant intensity of requirements. It was revealed that it took 3.33 hours to fix one malfunction of one combine, that is, one workshop would be occupied. If 3.24 demands were received in the service center in one hour, then all 7 auto-moving workshops would be occupied. (Conclusions) The authors revealed that for a single-channel proprietary technical service system the average value of the time for eliminating one malfunction of one combine should not exceed 3.33 hours. They calculated the parameters at which all channels (7 workshops) will be occupied in the 7-channel system of corporate technical service: 3.24 requirements arose in one hour, on average, each workshop took 2.16 hours to fix one malfunction.


2020 ◽  
Vol 1 (12) ◽  
pp. 19-24
Author(s):  
I. A. SLOBODNYAK ◽  
◽  
P. V. ANTIPINA ◽  

The article is devoted to considering the use of modern mathematical methods for the purpose of analyzing the effectiveness of organizing of various services of the organization. With the example of the accounting service it is shown how the basic performance of the service can be defined using the position of mass service theory. Proposes an interpretation of all the major variables in the model from an economic point of view. The model is universal and can be used to assess the operation of any service that meets the parameters of the mass service system.


Author(s):  
Ю.В. Горгуца

При проектировании рейдовых причалов, строительство которых получило широкое развитие в настоящее время, невозможно воспользоваться методами, предлагаемыми ныне действующими Нормами технологического проектирования, так как они были выполнены для традиционных защищённых акваторий и опираются на статистический материал, полученный по существующим портам. Для разработки методов определения простоев судов при обработке судов на рейдовых причалах с учётом потока помех от метеофакторов (штормов) как потока случайных событий в данной статье описывается исследование новых моделей систем массового обслуживания. Используется метод суперпозиций – находятся решения для простых моделей, которые затем используются для получения решений по более сложным моделям. Первоначально рассматривается простейшая модель, состоящая из потоков вызовов (штормов) и прибора (порта). Поток вызовов - пуассоновский. Время обслуживания – произвольное с преобразованием Лапласа-Стилтьеса Полученные результаты используются для исследования модели с потоками помех от ветров двух различных направлений. Далее исследуется однолинейная модель с «ненадёжным» прибором. Входящий поток – пуассоновский поток подходящих к порту судов. Время обслуживания - длительность интервалов времени между освобождением места у причала для судна, ожидающих на рейде. Выход из строя прибора, как в свободном, так и в занятом обслуживанием состоянии определяется наступлением шторма – событием пуассоновского потока с интервалами между событиями – интервалами между наступлением штормов. Длительность восстановления работоспособности прибора – определяемая в первой модели длительность простоя причала из-за воздействия метеофакторов. Суда, оказавшиеся в порту при наступлении шторма «дообслуживаются» после его окончания Итоговая модель – многоканальная с параллельно работающими приборами (причалам) и экспоненциальным временем обслуживания судов. Полученные результаты сравнивались со статистическими и показали их высокую сходимость, что доказывает их достоверность. While designing offshore terminals, which are being built quite widely in recent time, it is impossible to use methods, proposed by current technological design norms, because they were created for traditional protected waters and are based on statistical data, acquired by existing ports. This article describes the research of new models of mass service systems to develop methods of defining demurrage while processing vehicles on offshore terminals, taking into account disturbance flow from weather factors (storms) as flow of random events. Method of superpositions is used - to find solutions for simple models, which are used afterwards for getting solutions for more complicated models. Initially the basic model is reviewed, consisting of flow of challenges (storms) and device (port). Challenges flow is Poisson. Service time - arbitrary with transformation of Laplace-Stiltjes. Results acquired are used for researching the model with disturbance flows from windows of various directions. Next the unilineal model with “unreliable” device is researched. Incoming flow is Poisson flow of incoming vehicles. Service time - length of time intervals between berths exemption for vehicles awaing on raid. Device failure, both in free and in maintenance mode was defined by storm incoming - the event of Poisson flow with intervals between events - intervals between storms. Duration of device efficiency recovery - is the defined in the first model duration of terminal demurrage due to weather influence. Vessels, caught up in the port during storm will be maintained after its end. Final model is multi-channel one with working devices (terminals) and exponential time of vessel service. Acquired results have been compared with statistical data, which showed they high convergence, proving their reliability.


2019 ◽  
Vol 135 ◽  
pp. 01056
Author(s):  
Yuri Skolubovich ◽  
Alexey Skolubovich ◽  
Dmitry Volkov ◽  
Tamara Krasnova ◽  
Elena Gogina

This article describes the use of the stochastic approach, in particular, mass service theory and the development of its methods, adapted directly to the coagulation process as a mathematical tool. The coagulation process will be concerned as a) supplying water to the mixer, b) processing it with reagents (coagulants), c) settling for the mathematical analysis of water clarification effectiveness.


2020 ◽  
Vol 71 (2) ◽  
pp. 96-102
Author(s):  
Ivan Baronak ◽  
Matej Hartmann ◽  
Robert Polacek

AbstractTo detect the number of agents needed to serve customers, it is necessary to consider the call centre as a mass service system. Then it is possible to asses the convenient number of agents according to the probability of the system receiving a request and the time in which the request is serviced by employing a Markov chain and the Erlang model. In an archetypal call centre, the incoming calls are added to a waiting queue and subsequently they are assisted by an agent. In case all agents are occupied, the customer has to wait in the queue until one of the agents becomes available. It is, therefore, important to compromise on the number of agents and the time the customers spend waiting in the queue. The result should be that there are enough agents in the call centre to serve the customers in the time required. This article focuses on solving this problem.


2021 ◽  
Author(s):  
Mikel Hernandez ◽  
Gorka Epelde ◽  
Ane Alberdi ◽  
Rodrigo Cilla ◽  
Debbie Rankin

Synthetic Tabular Data Generation (STDG) is a potentially valuable technology with great promise to augment real data and preserve privacy. However, prior to adoption, an empirical assessment of synthetic tabular data (STD) is required across the three dimensions of resemblance, utility, and privacy, trying to find a trade-off between them. A lack of standardised and objective metrics and methods has been found targeting this assessment in the literature and neither an organised pipeline or process for coordinating this evaluation has been identified. Therefore, in this work we propose a collection of metrics and methods to evaluate STD in the previously defined dimensions, presenting a meaningful orchestration of them and a pipeline unifying all of them. Additionally, we present a methodology to categorise STDG approaches performance for each dimension. Finally, we conducted an extensive analysis and evaluation to verify the usability of the proposed pipeline across six healthcare-related datasets, using four STDG approaches. The results of these analyses showed that the proposed pipeline can effectively be used to evaluate and benchmark the STD generated with one or more different STDG approaches, helping the scientific community to select the most suitable approaches for their data and application of interest.


2021 ◽  
Vol 10 (1) ◽  
pp. 1-10
Author(s):  
Purwati Ayuningtyas ◽  
Sugito Sugito ◽  
Di Asih I Maruddani

One of the queue systems that is often found  in daily life is the transportation service system, for example a queue system at the shelters departure of corridor V Bus Rapid Transit (BRT) Trans Semarang. Corridor V has three departure shelters, they are Shelter Victoria Residence, Shelter Marina, and Shelter Bandara Ahmad Yani. Corridor V was choosen, because of its high load factor on January to June 2019. Based on the observation, the service time at the departure shelter is usually longer than the normal shelter. This causes the rise of queue at the departure shelters. The queue at the departure shelters can hamper the arrival of BRT at the other shelters, so the application of the queue theory is needed to find out the extent of operational effectiveness at the departure shelters. The resulting queue model is the Non-Poisson queue model, the queue model for Victoria Residence Shelter: (DAGUM/GEV/1):(GD/∞/∞), Marina Shelter: (DAGUM/G/1):(GD/∞/∞), and Bandara Ahmad Yani Shelter: (GEV/GEV/1):(GD/∞/∞). Based on the value from measurement of the queue system performance, it can be conclude that the three departure shelters of corridor V BRT Trans Semarang have some optimal condition. Keywords: Shelter Departure of Corridor V, Non-Poisson Queueing Model, Dagum, Generalized Extreme Value, System Perfomance Measure  


2018 ◽  
Vol 17 (01) ◽  
pp. 1850005 ◽  
Author(s):  
Alexander Vidybida ◽  
Olha Shchur

We consider a class of spiking neuronal models, defined by a set of conditions typical for basic threshold-type models, such as the leaky integrate-and-fire or the binding neuron model and also for some artificial neurons. A neuron is fed with a Poisson process. Each output impulse is applied to the neuron itself after a finite delay [Formula: see text]. This impulse acts as being delivered through a fast Cl-type inhibitory synapse. We derive a general relation which allows calculating exactly the probability density function (pdf) [Formula: see text] of output interspike intervals of a neuron with feedback based on known pdf [Formula: see text] for the same neuron without feedback and on the properties of the feedback line (the [Formula: see text] value). Similar relations between corresponding moments are derived.Furthermore, we prove that the initial segment of pdf [Formula: see text] for a neuron with a fixed threshold level is the same for any neuron satisfying the imposed conditions and is completely determined by the input stream. For the Poisson input stream, we calculate that initial segment exactly and, based on it, obtain exactly the initial segment of pdf [Formula: see text] for a neuron with feedback. That is the initial segment of [Formula: see text] is model-independent as well. The obtained expressions are checked by means of Monte Carlo simulation. The course of [Formula: see text] has a pronounced peculiarity, which makes it impossible to approximate [Formula: see text] by Poisson or another simple stochastic process.


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