Dimitris j bertsimas (8 resultados)

PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000.

HRD. Condición: New. New Book. Shipped from UK. Established seller since 2000.

HRD. Condición: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Condición: New. Print on Demand. This book contributes to the fields of probability theory and queueing theory by presenting a mathematically rigorous approach to analyzing the transient behavior of the GI/G/1 queue. The GI/G/1 queue represents a queue with general inter-arrival times and general service times. By formulating the problem as a two-dimensional Lindley process and transforming it to a Hilbert factorization problem, the author derives closed-form expressions for the Laplace transforms of the waiting time distribution and the busy period distribution. These results extend and generalize previous findings for specific queueing models and provide valuable insights into the behavior of queues with arbitrary distributions. The author employs advanced mathematical techniques, including the method of stages, separation of variables, root finding, and linear and tensor algebra, to achieve these solutions. The book is suitable for researchers, graduate students, and practitioners in the fields of operations research, applied probability, and queueing theory who seek a comprehensive understanding of transient queueing analysis. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…

Paperback. Condición: New. Print on Demand. This book delves into the transient behavior of MGEL/MGEM/1 queueing systems, where mixed generalized Erlang distributions approximate an arbitrary distribution. The author employs root finding techniques, linear algebra, and various mathematical approaches to establish closed-form expressions for Laplace transforms of the queue length, waiting time, and busy period. The significance of the Laplace transforms lies in their ability to be numerically inverted, facilitating analysis of these distributions in real-time. By investigating the transient characteristics of these queueing systems, the book contributes valuable insights into the complexities of real-world phenomena, where systems often encounter transient behavior due to external changes or the introduction of new control measures. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…