Author
Srinivas R. Chakravarthy
Other affiliations: Complutense University of Madrid, University of Manitoba, Belarusian State University ...read more
Bio: Srinivas R. Chakravarthy is an academic researcher from Kettering University. The author has contributed to research in topics: Queueing theory & Markovian arrival process. The author has an hindex of 20, co-authored 114 publications receiving 1563 citations. Previous affiliations of Srinivas R. Chakravarthy include Complutense University of Madrid & University of Manitoba.
Papers published on a yearly basis
Papers
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19 Sep 1996
TL;DR: A tutorial overview with some extensions and new results matrix-analytic methods for Markov chains on a tree structure renewal theory and Queueing algorithms for matrix-exponential distributions determination of explicit solutions to a general class of Markov processes equilibrium distributions for level-dependent quasi-birth-and-death processes.
Abstract: The Marcovian arrival process: some future directions an algorithm for the P(n,t) matrices of a continuous BMAP a pre-emptive priority Queue with non-renewal inputs analysis of a multiserver delay-loss system with a general Markovian arrival process analysis of a finite capacity multi-server Queue with non-preemptive priorities and non-renewal input matrix-multiplicative approach to quasi-birth-and-death processes a level crossing analysis in the MAP/G/1 Queue performance analysis and optimal threshold policies for Queueing systems with several heterogeneous servers and Markov modulated arrivals phase type distributions and related point processes fitting and recent advances parameter approximation for phase type distributions SPH-distributions and the rectangle-iterative algorithm execution time on unreliable server with latent breakdowns asymptotic analysis of switching Queueing systems in conditions of small and heavy loading matrix analytic methods: a tutorial overview with some extensions and new results matrix-analytic methods for Markov chains on a tree structure renewal theory and Queueing algorithms for matrix-exponential distributions determination of explicit solutions to a general class of Markov processes equilibrium distributions for level-dependent quasi-birth-and-death processes.
137 citations
TL;DR: This paper surveys work related to queues with interruptions that occur due to many reasons such as server breakdowns, servers taking emergency breaks, and customers having incomplete information or getting distracted.
Abstract: In this paper we survey work related to queues with interruptions that occur due to many reasons such as server breakdowns, servers taking emergency breaks, and customers having incomplete information or getting distracted We look at both continuous and discrete time queueing models with interruptions in this survey
129 citations
TL;DR: This work considers a multi-server retrial queueing model in which customers arrive according to a Markovian arrival process (MAP) and performs steady state analysis of the model using direct truncation and matrix-geometric approximation.
68 citations
Cited by
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TL;DR: In this paper, the authors present an up-to-date review of the advances made in the field of inventory control of perishable items (deteriorating inventory) and use the classification of Goyal and Giri based on shelf life characteristics and demand characteristics.
546 citations
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TL;DR: A model represents a synthesis of knowledge and data and can consequently provide results particularly about system properties, and is a very useful tool in the effort to achieve the best possible such view.
421 citations
TL;DR: This paper provides a comprehensive review of recent analytical and numerical optimization studies that present decision-support tools for designing and planning outpatient appointment systems (OAS) and provides a structure for organizing the recent literature according to various criteria.
307 citations
Book•
13 Dec 1996
TL;DR: This chapter discusses the modeling of Manufacturing Systems with a focus on the assembly of single-Stage, single-product systems and the role of the Kanban Scheme in this system.
Abstract: 1. Introduction to the Modeling of Manufacturing Systems.- 1.1. Typical Decision Problems in Manufacturing Systems.- 1.2. Performance Evaluation.- 1.3. Models of Manufacturing Systems.- 1.4. Design of Manufacturing Systems.- References.- 2. Tools of Probability.- 2.1. Random Variables and Their Distributions.- 2.2. Joint Distributions.- 2.3. Conditional Distributions.- 2.4. Functions of Random Variables.- 2.5. Moments of Random Variables.- 2.6. Special Distributions.- 2.7. Stochastic Processes.- 2.8. Phase-Type Distributions.- Related Bibliography on Phase-Type Distributions.- References.- Problems.- 3. Analysis of Single Work Stations.- 3.1. Introduction.- 3.2. A Simple Work Station.- 3.3. Distribution of the Number in the System.- 3.4. Work Stations Subject to Failures.- 3.5. Distribution of the Number of Jobs in a Work Station Subject to Failures.- 3.6. The Process-Completion Time.- 3.7. Failure-Repair Policies.- 3.8. The Machine Interference Problem.- Related Literature.- References.- Problems.- 4. Analysis of Flow Lines.- 4.1. Introduction.- 4.2. Characteristics of Flow Lines.- 4.3. Analysis of Two-Station Flow Lines.- 4.4. Analysis of Flow Lines With More Than Two Stations.- 4.5. Deterministic Processing Times.- 4.6. Bounds on the Output Rate.- 4.7. Design Problems in Flow Lines.- Related Literature.- References.- Problems.- 5. Analysis of Transfer Lines.- 5.1. Introduction.- 5.2. A Two-Station Line with No Intermediate Buffer: A Regenerative Approach.- 5.3. Transfer Lines with Work-in-Process Buffers.- 5.4. Buffer Clearing Policies in Transfer Lines.- 5.5. Analysis of a Two-Machine Synchronous Line Under BCP1.- 5.6. Operation Under BCP2.- 5.7. Line Behavior and Design Issues.- 5.8. Analysis of Larger Systems.- 5.9. Transfer Lines with No Scrapping.- Related Bibliography.- References.- Problems.- 6. Assembly Systems.- 6.1. Introduction.- 6.2. An Asynchronous Assembly System.- 6.3. Approximate Analysis of the Two-Station Assembly System.- 6.4. Analysis of Larger Systems.- 6.5. Synchronous Assembly Systems.- 6.6. Relaxing the Assembly Assumption.- Related Bibliography.- References.- Problems.- 7. Pull-Type Manufacturing Systems.- 7.1. Introduction.- 7.2. Production Control Policies.- 7.3. Analysis of Single-Stage, Single-Product Systems.- 7.4. A Single-Stage System with Two Products.- 7.5. Multistage Pull-Type Systems.- 7.6. The Generalized Kanban Scheme.- 7.7. Manufacturing Systems with Inventory Procurement.- 7.8. A Two-Stage, MultiProduct System.- 7.9. The Look-Back Policy.- Related Bibliography.- References.- Problems.- Appendix: A Single-Stage P/I System with PH Delay, Set-up, and Processing Times.
305 citations
Book•
07 Aug 2013
TL;DR: This book emphasizes stochastic modeling by offering probabilistic interpretation and constructive proofs for Matrix-Analytic Methods, especially useful for engineering analysis and design.
Abstract: Fundamentals of Matrix-Analytic Methods targets advanced-level students in mathematics, engineering and computer science. It focuses on the fundamental parts of Matrix-Analytic Methods, Phase-Type Distributions, Markovian arrival processes and Structured Markov chains and matrix geometric solutions. New materials and techniques are presented for the first time in research and engineering design. This book emphasizes stochastic modeling by offering probabilistic interpretation and constructive proofs for Matrix-Analytic Methods. Such an approach is especially useful for engineering analysis and design. Exercises and examples are provided throughout the book.
218 citations