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Suboptymalizacja krytycznych parametrów kolejki w systemach masowej obsługi

Ficoń Krzysztof, Krasnodębski Grzegorz

Gospodarka Materiałowa i Logistyka

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2019

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nr 5

31--39

PL

W pracy wskazano na możliwość wykorzystania teorii masowej do optymalizacji krytycznych parametrów kolejek, będących zmorą współczesnej cywilizacji, nie tylko społecznej. Przeanalizowano mechanizm powstawania kolejek, za pomocą metod rachunku prawdopodobieństwa zidentyfikowano jego przyczyny i skutki. Rozważania teoretyczne zilustrowano na drodze analitycznej analizując dwa przykładowe warianty badawcze. Przedmiotem badań były krytyczne parametry kolejki, obejmujące średnią długość kolejki i średni czas oczekiwania. W wariancie pierwszym skupiono się na sterowaniu intensywnością strumienia zgłoszeń, natomiast w wariancie drugim przyjęto bardziej praktyczne sterowanie intensywnością strumienia obsługi.

EN

The paper indicates the possibility of using mass theory to optimize the critical parameters of queues, which are the bane of modern civilization, not only social. The mechanism of queuing was analyzed, its causes and effects were identified using probability calculus methods. Theoretical considerations are illustrated by analytical analysis of two example research variants. The subject of the research were the critical parameters of the queue, including the average queue length and average waiting time. The first variant focused on controlling the intensity of the notification stream, while the second variant adopted a more practical control of the intensity of the service stream.

2

From UML object behavior description into petri net models towards systematic development of embedded systems

Szmuc W., Szmuc T.

International Journal of Microelectronics and Computer Science

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2016

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Vol. 7, nr 2

60--64

EN

The paper describes a translation of object behavior specified by UML into semantically equivalent Petri net models. The translation focuses on object behavior with event handling implemented in UML. The resulted Petri net allows to check UML model properties not only by simulation but also in formal way. For possibly closest congruence between UML and Petri net model an event queue is defined. Each state machine assigned to an object has its own event queue which is available as long as the machine exists. It allows modeling not just a simple message passing but also cases, when state machine cannot handle an event. A higher priority of sub-machine's event queue is also considered. The presented solution is a part of wider conversion algorithm from UML model into Petri nets [12]. However, the paper is intended to describe the issue in such a detailed way and focuses on aspects crucial for embedded systems development.

3

A framework for additional server activation

Savić G., Makajić-Nikolić D., Vujošević M.

Research in Logistics & Production

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2012

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Vol. 2, No. 4

387-397

EN

This paper assesses the performance of the queuing system with several fixed and additional multitask servers. The additional server serves customers in the case of necessity to avoid congestion and decrease the number of impatient customers. An additional server will be activated whenever the length of queue becomes greater than or equal to user defined size i.e. threshold value. Also, this server will be switched off when the length of queue falls below user defined size, but ongoing service has to be finished.The main issue is to decide when and how long the additional server would work with customers. This paper proposes a methodology to choose the best activation rule for the work of an additional server, based on the performance evaluation of queuing system. The Petri nets (PN) simulation is used to calculate the performance measures. Relative efficiency evaluation of different activation rules is carried out by data envelopment analysis (DEA). The methodology is applied on real-life data collected from a postal office.

4

Multi Queue Approach for Network Services Implemented for Multi Core CPUs

Hasse M., Nowicki K., Woźniak J.

Journal of Telecommunications and Information Technology

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2011

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nr 3

57-62

EN

Multiple core processors have already became the dominant design for general purpose CPUs. Incarnations of this technology are present in solutions dedicated to such areas like computer graphics, signal processing and also computer networking. Since the key functionality of network core components is fast package servicing, multicore technology, due to multi tasking ability, seems useful to support packet processing. Dedicated network processors characterize very good performance but at the same time high cost. General purpose CPUs achieve incredible performance, thanks to task distribution along several available cores and relatively low cost. The idea, analyzed in this paper, is to use general purpose CPU to provide network core functionality. For this purpose parameterized system model has been created, which represents general core networking needs. This model analyze system parameters influence on system performance.

5

Systemy kolejkowe z niewykładniczym węzłem obsługi

Szostak R.

Elektrotechnika i Elektronika

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2000

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T. 19, z. 1

1--8

PL

W pracy została przedstawiona metoda analizy systemów kolejkowych przy pomocy włożonych łańcuchów Markowa. Przedstawione zostało wykorzystanie tej metody do wyznaczenia niektórych parametrów systemów, oraz rozwiązania przykładowego zadania optymalizacji.

EN

In my work I have presented the method of analysis of queuing systems by means of the inserted chains of Markov. I have presented the use of this method for calculating some parameters of the systems and for solving example optimization problem.