A Robust Aggregation Approach To Simplification Of Manufacturing Flow Line Models

One of the more difficult tasks facing a modeler in developing a simulation model of a discrete part manufacturing system is deciding at what level of abstraction to represent the resources of the system. For example, questions about plant capacity can be modeled with a simple model, whereas questions regarding the efficiency of different part scheduling rules can only be answered with a more detailed model. In developing a simulation model, most of the actual features of the system under study must be ignored and an abstraction must be developed. If done correctly, this idealization provides a useful approximation of the real system. Unfortunately, many individuals claim that the process of building a simulation model is an “intuitive art.” The objective of this research is to introduce aspects of “science” to model development by defining quantitative techniques for developing an aggregate simulation model for estimating part cycle time of a manufacturing flow line. The methodology integrates aspects of queueing theory, a recursive algorithm, and simulation to develop the specifications necessary for combining resources of a flow line into a reduced set of aggregation resources. Experimentation shows that developing a simulation model with the aggregation resources results in accurate interval estimates of the average part cycle time

EUROPEAN CONFERENCE ON QUEUEING THEORY 2016

International audienceThis booklet contains the proceedings of the second European Conference in Queueing Theory (ECQT) that was held from the 18th to the 20th of July 2016 at the engineering school ENSEEIHT, Toulouse, France. ECQT is a biannual event where scientists and technicians in queueing theory and related areas get together to promote research, encourage interaction and exchange ideas. The spirit of the conference is to be a queueing event organized from within Europe, but open to participants from all over the world. The technical program of the 2016 edition consisted of 112 presentations organized in 29 sessions covering all trends in queueing theory, including the development of the theory, methodology advances, computational aspects and applications. Another exciting feature of ECQT2016 was the institution of the Takács Award for outstanding PhD thesis on "Queueing Theory and its Applications"

Performance and reliability modelling of computing systems using spectral expansion

PhD ThesisThis thesis is concerned with the analytical modelling of computing and other discrete event systems, for steady state performance and dependability. That is carried out using a novel solution technique, known as the spectral expansion method. The type of problems considered, and the systems analysed, are represented by certain two-dimensional Markov-processes on finite or semi-infinite lattice strips. A sub set of these Markov processes are the Quasi-Birth-and-Death processes. These models are important because they have wide ranging applications in the design and analysis of modern communications, advanced computing systems, flexible manufacturing systems and in dependability modelling. Though the matrixgeometric method is the presently most popular method, in this area, it suffers from certain drawbacks, as illustrated in one of the chapters. Spectral expansion clearly rises above those limitations. This also, is shown with the aid of examples. The contributions of this thesis can be divided into two categories. They are, • The theoretical foundation of the spectral expansion method is laid. Stability analysis of these Markov processes is carried out. Efficient numerical solution algorithms are developed. A comparative study is performed to show that the spectral expansion algorithm has an edge over the matrix-geometric method, in computational efficiency, accuracy and ease of use. • The method is applied to several non-trivial and complicated modelling problems, occuring in computer and communication systems. Performance measures are evaluated and optimisation issues are addressed

Fast Simulation of General Manufacturing Networks

Industrial Engineering and Managemen

Manufacturing flow line systems: a review of models and analytical results

The most important models and results of the manufacturing flow line literature are described. These include the major classes of models (asynchronous, synchronous, and continuous); the major features (blocking, processing times, failures and repairs); the major properties (conservation of flow, flow rate-idle time, reversibility, and others); and the relationships among different models. Exact and approximate methods for obtaining quantitative measures of performance are also reviewed. The exact methods are appropriate for small systems. The approximate methods, which are the only means available for large systems, are generally based on decomposition, and make use of the exact methods for small systems. Extensions are briefly discussed. Directions for future research are suggested.National Science Foundation (U.S.) (Grant DDM-8914277

A review of the open queueing network models of manufacturing systems

"December 1990."Includes bibliographical references (p. 52-58).Research partially supported by the "Leaders for Manufacturing Program". Research partially supported by the UCLA Senate Committee on Grants. 99by Gabriel R. Bitran, Sriram Dasu

Decomposition of discrete-time open tandem queues with Poisson arrivals and general service times

In der Grobplanungsphase vernetzter Logistik- und Produktionssysteme ist man häufig daran interessiert, mit geringem Berechnungsaufwand eine zufriedenstellende Approximation der Leistungskennzahlen des Systems zu bestimmen. Hierbei bietet die Modellierung mittels zeitdiskreter Methoden gegenüber der zeitkontinuierlichen Modellierung den Vorteil, dass die gesamte Wahrscheinlichkeitsverteilung der Leistungskenngrößen berechnet werden kann. Da Produktions- und Logistiksysteme in der Regel so konzipiert sind, dass sie die Leistung nicht im Durchschnitt, sondern mit einer bestimmten Wahrscheinlichkeit (z.B. 95%) zusichern, können zeitdiskrete Warteschlangenmodelle detailliertere Informationen über die Leistung des Systems (wie z.B. der Warte- oder Durchlaufzeit) liefern. Für die Analyse vernetzter zeitdiskreter Bediensysteme sind Dekompositionsmethoden häufig der einzig praktikable und recheneffiziente Ansatz, um stationäre Leistungsmaße in den einzelnen Bediensystemen zu berechnen. Hierbei wird das Netzwerk in die einzelnen Knoten zerlegt und diese getrennt voneinander analysiert. Der Ansatz basiert auf der Annahme, dass der Punktprozess des Abgangsstroms stromaufwärts liegender Stationen durch einen Erneuerungsprozess approximiert werden kann, und so eine unabhängige Analyse der Bediensysteme möglich ist. Die Annahme der Unabhängigkeit ermöglicht zwar eine effiziente Berechnung, führt jedoch zu teilweise starken Approximationsfehlern in den berechneten Leistungskenngrößen. Der Untersuchungsgegenstand dieser Arbeit sind offene zeitdiskrete Tandem-Netzwerke mit Poisson-verteilten Ankünften am stromaufwärts liegenden Bediensystem und generell verteilten Bedienzeiten. Das Netzwerk besteht folglich aus einem stromaufwärts liegenden M/G/1-Bediensystem und einem stromabwärts liegenden G/G/1-System. Diese Arbeit verfolgt drei Ziele, (1) die Defizite des Dekompositionsansatzes aufzuzeigen und dessen Approximationsgüte mittels statistischer Schätzmethoden zu bestimmen, (2) die Autokorrelation des Abgangsprozesses des M/G/1-Systems zu modellieren um die Ursache des Approximationsfehlers erklären zu können und (3) einen Dekompositionsansatz zu entwickeln, der die Abhängigkeit des Abgangsstroms berücksichtigt und so beliebig genaue Annäherungen der Leistungskenngrößen ermöglicht. Im ersten Teil der Arbeit wird die Approximationsgüte des Dekompositionsverfahrens am stromabwärts liegenden G/G/1-Bediensystem mit Hilfe von Linearer Regression (Punktschätzung) und Quantilsregression (Intervallschätzung) bestimmt. Beide Schätzverfahren werden jeweils auf die relativen Fehler des Erwartungswerts und des 95%-Quantils der Wartezeit im Vergleich zu den simulierten Ergebnissen berechnet. Als signifikante Einflussfaktoren auf die Approximationsgüte werden die Auslastung des Systems und die Variabilität des Ankunftsstroms identifiziert. Der zweite Teil der Arbeit fokussiert sich auf die Berechnung der Autokorrelation im Abgangsstroms des M/G/1-Bediensystems. Aufeinanderfolgende Zwischenabgangszeiten sind miteinander korreliert, da die Abgangszeit eines Kunden von dem Systemzustand abhängt, den der vorherige Kunde bei dessen Abgang zurückgelassen hat. Die Autokorrelation ist ursächlich für den Dekompositionsfehler, da die Ankunftszeiten am stromabwärts liegenden Bediensystem nicht unabhängig identisch verteilt sind. Im dritten Teil der Arbeit wird ein neuer Dekompositionsansatz vorgestellt, der die Abhängigkeit im Abgangsstroms des M/G/1-Systems mittels eines semi-Markov Prozesses modelliert. Um eine explosionsartige Zunahme des Zustandsraums zu verhindern, wird ein Verfahren eingeführt, das den Zustandsraum der eingebetteten Markov-Kette beschränkt. Numerischen Auswertungen zeigen, dass die mit stark limitierten Zustandsraum erzielten Ergebnisse eine bessere Approximation bieten als der bisherige Dekompositionsansatz. Mit zunehmender Größe des Zustandsraums konvergieren die Leistungskennzahlen beliebig genau

Modelling and performability evaluation of Wireless Sensor Networks

This thesis presents generic analytical models of homogeneous clustered Wireless Sensor Networks (WSNs) with a centrally located Cluster Head (CH) coordinating cluster communication with the sink directly or through other intermediate nodes. The focus is to integrate performance and availability studies of WSNs in the presence of sensor nodes and channel failures and repair/replacement. The main purpose is to enhance improvement of WSN Quality of Service (QoS). Other research works also considered in this thesis include modelling of packet arrival distribution at the CH and intermediate nodes, and modelling of energy consumption at the sensor nodes. An investigation and critical analysis of wireless sensor network architectures, energy conservation techniques and QoS requirements are performed in order to improve performance and availability of the network. Existing techniques used for performance evaluation of single and multi-server systems with several operative states are investigated and analysed in details. To begin with, existing approaches for independent (pure) performance modelling are critically analysed with highlights on merits and drawbacks. Similarly, pure availability modelling approaches are also analysed. Considering that pure performance models tend to be too optimistic and pure availability models are too conservative, performability, which is the integration of performance and availability studies is used for the evaluation of the WSN models developed in this study. Two-dimensional Markov state space representations of the systems are used for performability modelling. Following critical analysis of the existing solution techniques, spectral expansion method and system of simultaneous linear equations are developed and used to solving the proposed models. To validate the results obtained with the two techniques, a discrete event simulation tool is explored. In this research, open queuing networks are used to model the behaviour of the CH when subjected to streams of traffic from cluster nodes in addition to dynamics of operating in the various states. The research begins with a model of a CH with an infinite queue capacity subject to failures and repair/replacement. The model is developed progressively to consider bounded queue capacity systems, channel failures and sleep scheduling mechanisms for performability evaluation of WSNs. Using the developed models, various performance measures of the considered system including mean queue length, throughput, response time and blocking probability are evaluated. Finally, energy models considering mean power consumption in each of the possible operative states is developed. The resulting models are in turn employed for the evaluation of energy saving for the proposed case study model. Numerical solutions and discussions are presented for all the queuing models developed. Simulation is also performed in order to validate the accuracy of the results obtained. In order to address issues of performance and availability of WSNs, current research present independent performance and availability studies. The concerns resulting from such studies have therefore remained unresolved over the years hence persistence poor system performance. The novelty of this research is a proposed integrated performance and availability modelling approach for WSNs meant to address challenges of independent studies. In addition, a novel methodology for modelling and evaluation of power consumption is also offered. Proposed model results provide remarkable improvement on system performance and availability in addition to providing tools for further optimisation studies. A significant power saving is also observed from the proposed model results. In order to improve QoS for WSN, it is possible to improve the proposed models by incorporating priority queuing in a mixed traffic environment. A model of multi-server system is also appropriate for addressing traffic routing. It is also possible to extend the proposed energy model to consider other sleep scheduling mechanisms other than On-demand proposed herein. Analysis and classification of possible arrival distribution of WSN packets for various application environments would be a great idea for enabling robust scientific research

The treatment of time in distributed simulation

Simulation is one of the most important tools to analyse, design, and operate complex processes and systems. Simulation allows us to make a 'trial and error' in order to understand a system and describe a problem. Therefore, it is of great interest to use simulation easily and practically. The advent of parallel processors and languages help simulation studies. A recent simulation trend is distributed simulation which may be called discrete- event simulation, because distributed simulation has a great potential for the speed-up. This thesis will survey discrete-event simulation and examine one particular algorithm. It will first survey simulation in general and secondly, distributed simulation. Distributed simulation has broadly two mechanisms: conservative and optimistic. The treatment of time in these mechanisms is different, we will look into both mechanisms. Finally, we will examine the conservative mechanism on a network of transputers using Occam. We will conclude with the result of the experiments and the perspective of distributed simulation