MonographDOI
Introduction to matrix analytic methods in stochastic modeling
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TLDR
This chapter discusses quasi-Birth-and-Death Processes, a large number of which are based on the Markovian Point Processes and the Matrix-Geometric Distribution, as well as algorithms for the Rate Matrix.Abstract:
Preface Part I. Quasi-Birth-and-Death Processes. 1. Examples Part II. The Method of Phases. 2. PH Distributions 3. Markovian Point Processes Part III. The Matrix-Geometric Distribution. 4. Birth-and-Death Processes 5. Processes Under a Taboo 6. Homogeneous QBDs 7. Stability Condition Part IV. Algorithms. 8. Algorithms for the Rate Matrix 9. Spectral Analysis 10. Finite QBDs 11. First Passage Times Part V. Beyond Simple QBDs. 12. Nonhomogeneous QBDs 13. Processes, Skip-Free in One Direction 14. Tree Processes 15. Product Form Networks 16. Nondenumerable States Bibliography Index.read more
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Journal ArticleDOI
Commissioned Paper: Telephone Call Centers: Tutorial, Review, and Research Prospects
TL;DR: This work begins with a tutorial on how call centers function and proceed to survey academic research devoted to the management of their operations, which identifies important problems that have not been addressed and identifies promising directions for future research.
Journal ArticleDOI
Recursive Markov chains, stochastic grammars, and monotone systems of nonlinear equations
TL;DR: It is shown that the PSPACE upper bounds cannot be substantially improved without a breakthrough on long standing open problems: the square-root sum problem and an arithmetic circuit decision problem that captures P-time on the unit-cost rational arithmetic RAM model.
Journal ArticleDOI
Platoons of connected vehicles can double throughput in urban roads
TL;DR: In this paper, the authors assessed the potential mobility benefits of platooning and argued that saturation flow rates, and hence intersection capacity, can be doubled or tripled by platooning, supported by the analysis of three queuing models and by the simulation of a road network.
Book
Numerical Solution of Algebraic Riccati Equations
TL;DR: This concise and comprehensive treatment of the basic theory of algebraic Riccati equations describes the classical as well as the more advanced algorithms for their solution in a manner that is accessible to both practitioners and scholars.