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The Markov Anniversary Meeting, June 12-14, 2006 was the fifth in a series of conferences devoted to the Numerical Solution of Markov Chains (NSMC). The prior four NSMC conferences were held in 1990, 1995, 1999, and 2003. The first two conferences were held in Raleigh, North Carolina, the third moved overseas to Zarazoga, Spain, and the fourth was held in Urbana-Champaign, Illinois. This fifth and most recent Markov meeting occurred sooner than the usual 4-5 year schedule in order to celebrate two very important events: the 150th anniversary of Andrei A. Markov's birth and the 100th anniversar

Algebras, Linear -- Congresses. --- Control theory -- Congresses. --- Markov processes -- Congresses. --- Markov processes. --- Perturbation (Mathematics). --- Queuing theory -- Congresses.

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On May 10-12, 1973 a Conference on Mathematical Methods in Graph Theory was held at Western Michigan University in Kalamazoo. The theme of this Conference was recent advances in the application of analytic and algebraic methods to the analysis of queues and queueing networks. In addition some discussion was given to statistical analy­ ses in queues, control problems and graphical methods. A total of 83 individuals from both industry and academic estab­ lishments participated in the Conference. A list of these partici­ pants can be found on page 373. A total of 18 papers were presented, with sUbstantial time being devoted to their informal discussion. This volume constitutes the proceedings of the Conference, and includes all papers presented. TABLE OF CONTENTS MARCEL F. NEUTS The Markov Renewal Branching Process • 1 RALPH L. DISNEY and W. PETER CHERRY Some Topics in Queueing Network Theory 23 JULIAN KEILSON Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior . • • • • • . . • • • •• • • 45 G. F. NEWELL Graphical Representation of Queue Evolution for Multiple-Server Systems • . • • • • • • • • • • 63 N. U. PRABHU Wiener-Hopf Techniques in Queueing Theory 81 / IAJOS TAKACS Occupation Time Problems in the Theory of Queues 91 TAPAN P. BAGCHI and J. G. C. TEMPLETON Some Finite waiting Space Bulk Queueing Systems 133 U.

Stochastic processes --- Queuing theory --- congresses --- 519.872 --- Queuing theory. Service systems. Numerical simulation --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- 519.872 Queuing theory. Service systems. Numerical simulation --- Files d'attente, Théorie des --- Congresses --- Congrès --- Files d'attente, Théorie des --- Congrès --- Recherche opérationnelle --- Congresses. --- Queuing theory - congresses --- Queueing theory

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Electronic data processing --- Computer programming --- Probabilities --- Queuing theory --- Informatique --- Programmation (Informatique) --- Probabilités --- Congresses --- Congrès --- congresses --- 681.3*G3 --- 519.2 --- -Probabilities --- -Queuing theory --- -Computer programming --- -681.3*A0 --- Computers --- Electronic computer programming --- Electronic digital computers --- Programming (Electronic computers) --- Coding theory --- Erlang traffic formula --- Queueing theory --- Theory of queues --- Waiting-line theory --- Production scheduling --- Stochastic processes --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- ADP (Data processing) --- Automatic data processing --- Data processing --- EDP (Data processing) --- IDP (Data processing) --- Integrated data processing --- Office practice --- Probability and statistics: probabilistic algorithms (including Monte Carlo);random number generation; statistical computing; statistical software (Mathematics of computing) --- Probability. Mathematical statistics --- General --- Programming --- Automation --- 681.3*A0 --- 681.3*A0 General --- 519.2 Probability. Mathematical statistics --- 681.3*G3 Probability and statistics: probabilistic algorithms (including Monte Carlo);random number generation; statistical computing; statistical software (Mathematics of computing) --- Files d'attente, Théorie des --- Electronic data processing - Congresses --- Computer programming - Congresses --- Probabilities - Congresses --- Queuing theory - congresses --- -Congresses

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This proceedings volume of selected papers presented at the 1st Rapid Modelling Conference "Increasing Competitiveness – Tools and Mindset" gives a state-of-the-art overview of current research and new developments in the field of rapid modelling linked with lead time reduction. Rapid Modelling is generally based on queuing theory, but other mathematical modelling techniques are of interest, as are simulation models to facilitate the transfer of knowledge from theory to application, providing the theoretical foundations for successful lead time reduction. The interested reader (researcher as well as practitioner) should have a good overview of current activity in this field. Rapid Modelling for Increasing Competitiveness suggests that companies which are equipped for speed, with innovative processes, will outperform their slower competitors in many industries. Furthermore, this work also contributes to the scientific fields of operations management, production management, supply chain management, industrial engineering and operations research. The research papers presented in this book can be used to support the exchange of knowledge – between researchers, as well as practitioners – on the subject of increasing competitiveness through speed. Rapid Modelling for Increasing Competitiveness is supported by the EU Seventh Framework Programme – The People Programme – Industry-Academia Partnerships and Pathways Project (No. 217891) "How revolutionary queuing based modelling software helps keeping jobs in Europe. The creation of a lead time reduction software that increases industry competitiveness and supports academic research.".

Flexible manufacturing systems --Congresses. --- Industrial efficiency --Mathematical models --Congresses. --- Queuing theory --Congresses. --- Flexible manufacturing systems --- Queuing theory --- Industrial efficiency --- Civil Engineering --- Operations Research --- Industrial & Management Engineering --- Mechanical Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Mathematical models --- Production engineering --- Computer integrated manufacturing systems --- Manufacturing processes --- Industrial engineering --- Automation --- Manufacturing engineering --- Process engineering --- Engineering. --- Operations research. --- Decision making. --- Computer simulation. --- Management science. --- Engineering economics. --- Engineering economy. --- Engineering Economics, Organization, Logistics, Marketing. --- Operation Research/Decision Theory. --- Simulation and Modeling. --- Operations Research, Management Science. --- Mechanical engineering --- Operations Research/Decision Theory. --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Simulation methods --- Model-integrated computing --- Operational analysis --- Operational research --- Management science --- Research --- System theory --- Economy, Engineering --- Engineering economics --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management decisions --- Choice (Psychology) --- Decision making