ABOUT THE REGULARITIES IN MASS SERVICE SYSTEMS WITH “IMPATIENT” REQUESTS

Author(s):  
Denis Malyshev ◽  
◽  
Aleksander Tarantsev ◽  
Aleksander Kholostov ◽  
◽  
...  
Keyword(s):  
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.


1970 ◽  
Vol 2 (02) ◽  
pp. 287-322
Author(s):  
T. Gergely ◽  
I. N. Tsukanow ◽  
I. I. Yezhow

In this work Markov chains governed by complicated processes are introduced and investigated (Section 1). In Section 2 an ergodic theorem for these processes is formulated, while in Section 3 the sojourn time of the process in a fixed region is studied; in Section 4 some examples are considered. The processes studied are of practical importance in the description of mass service systems and the theory of reliability for which the time intervals between successive demands cannot be assumed to be mutually independent random variables. It is shown that the dependence parameter r of these processes, if it is sufficiently large, allows us to formulate a relationship between the time intervals in question.


2020 ◽  
Vol 4 (26) ◽  
pp. 35-44
Author(s):  
V. E. Taratun ◽  
◽  
V. S. Shaperova ◽  

The article studies the queuing system using the example of Pulkovo airport. The statistical data characterizing the growth of passenger traffic are presented. The problems of the queuing system and the method of its solution through the use of simulation are considered. Key words: simulation modeling, passenger traffic, throughput, CMO, complex technical systems, forecasting.


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.


1970 ◽  
Vol 2 (2) ◽  
pp. 287-322 ◽  
Author(s):  
T. Gergely ◽  
I. N. Tsukanow ◽  
I. I. Yezhow

In this work Markov chains governed by complicated processes are introduced and investigated (Section 1). In Section 2 an ergodic theorem for these processes is formulated, while in Section 3 the sojourn time of the process in a fixed region is studied; in Section 4 some examples are considered. The processes studied are of practical importance in the description of mass service systems and the theory of reliability for which the time intervals between successive demands cannot be assumed to be mutually independent random variables. It is shown that the dependence parameter r of these processes, if it is sufficiently large, allows us to formulate a relationship between the time intervals in question.


Author(s):  
В. Заяць ◽  
O. Рибицька ◽  
Я. Маєвський ◽  
Т. Марциняк ◽  
М. Заяць

Approaches to the processing of fuzzy information are proposed in the conditions of incomplete determination of the vector of input characteristics, which are based on the theory of fuzzy sets and fuzzy measures. Their analysis have been carried out, the limits of their use, and areas of effective application, in particular, regarding mass service systems.


2021 ◽  
Author(s):  
R. Lopatin ◽  
L. Smirnov ◽  
Svetlana Evdokimova

In many clinics, new branches are opening today, which include a list of services for the us-er of the electronic registry. At the same time, it is necessary to take into account the schedules of counseling and receiving patients in the process of work, where the object of consideration is a high-quality schedule without the presence of time overlays.


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