The general distributional Little's law and its applications

"March 1991."Includes bibliographical references (p. 31-32).Research supported by the Leaders for Manufacturing Program at MIT and Draper Laboratory.Dimitris Bertsimas, Daisuke Nakazato

The general distributional Little's law and its applications

"March 1991."Includes bibliographical references (p. 31-32).Research supported by the Leaders for Manufacturing Program at MIT and Draper Laboratory.Dimitris Bertsimas, Daisuke Nakazato

Transient laws of non-stationary queueing systems and their applications

Cover title.Includes bibliographical references (p. 37-39).Supported in part by a Presidential Young Investigator Award, with matching funds from Draper Laboratory. DDM-9158118D. Bertsimas and G. Mourtizinou

Transient laws of non-stationary queueing systems and their applications

Cover title.Includes bibliographical references (p. 37-39).Supported in part by a Presidential Young Investigator Award, with matching funds from Draper Laboratory. DDM-9158118D. Bertsimas and G. Mourtizinou

The distributional form of Little's Law and the Fuhrmann-Cooper decomposition

Includes bibliographical references (p. 15).by J. Keilson and L.D. Servi

Multiclass queueing systems in heavy traffic: an asymptotic approach based on distributional and conservation laws

We propose a new approach to analyze multiclass queueing systems in heavy traffic based on what we consider as fundamental laws in queueing systems, namely distributional and conservation laws. Methodologically, we extend the distributional laws from single class queueing systems to multiple classes and combine them with conservation laws to find the heavy traffic behavior of the following systems: a)EGI/G/1 queue under FIFO, b) EGI/G/1 queue with priorities, c) Polling systems with general arrival distributions. Compared with traditional heavy traffic analysis via Brownian processes, our approach gives more insight to the asymptotics used, solves systems that traditional heavy traffic theory has not fully addressed, and more importantly leads to closed form answers, which compared to simulation are very accurate even for moderate traffic

The departure process from a GI/G/1 queue and its applications to the analysis of tandem queues

"September 1990."Includes bibliographical references (p. 27-28).Research supported by the Leaders for Manufacturing Program at MIT and the Draper Laboratory.Dimitris J. Bertsimas, Daisuke Nakazato

The departure process from a GI/G/1 queue and its applications to the analysis of tandem queues

"September 1990."Includes bibliographical references (p. 27-28).Research supported by the Leaders for Manufacturing Program at MIT and the Draper Laboratory.Dimitris J. Bertsimas, Daisuke Nakazato

A two priority M/G/1 queue with feedback

Also issued as: Working paper (Sloan School of Management) WP 1994-88Includes bibliographical references (leaf 26).by J. Keilson and L.D. Servi

A unified method to analyze overtake free queueing systems

Includes bibliographical references (p. 51-52).Supported by a Presidential Young Investigator Award, with matching funds from Draper Laboratory. DDM-9158118 Supported by the National Science Foundation. DDM-9014751Dimitris Bertsimas and Georgia Mourtzinou