1. A Unified Treatment of Queueing and Storage Problems — Probability Distributions -- 2. First Passage Problems and Duality Relations -- 3. Cybernetic Queueing and Storage Systems -- 4. Optimal Capacity of a Storage System.

The Markov Renewal Branching Process -- Some Topics in Queueing Network Theory -- Convexity and Complete Monotonicity in Queueing Distributions and Associated Limit Behavior -- Graphical Representation of Queue Evolution for Multiple-Server Systems -- Wiener-Hopf Techniques in Queueing Theory --...

I. The single server queue GI/G/1 -- 1.1 Definitions -- 1.2 Regenerative processes -- 1.3 The sequence wn, n = 1,2,… -- 1.4 The process {v, t ?[0, ?)} -- 1.5 The process {?t, t ?[0, ?)} -- 1.6 Applications to the GI/G/1 queue -- 1.7 Some notes on chapter I -- II. The M/G/K system -- 2.1 On the...

The order and presentation of Foundations of Queueing Theory is drawn from Professor Prabhu's extensive experience as a researcher, teacher, expositor, and editor. The book deals with the foundations of queueing theory and is intended as an advanced text for courses on queueing theory, and as a...

1. The Queue M/G/1 with Group Arrivals -- 1.1 Description and Definitions -- 1.2 Busy Period Transitions -- 1.3 General Transitions of Q(T) -- 1.4 Limiting Behavior of Q(T) -- 1.5 Q(T) and the Unexpended Service Time -- 1.6 Waiting Time W(T): An Approach Through Q(T) -- 1.7 Waiting Time W(T): An...

I: Introduction -- 1.1 A Perspective -- 1.2 Earlier Work -- II: Mathematical Formulation of the Bulk Queuing Problem -- 2.1 A Class of Markov Recurrence Relations -- 2.2 The Abstract Formalism -- III: A Numerical Approach to Waiting Line Problems -- 3.1 Numerical Methods in Queuing Theory -- 3.2...

Queueing network models have been widely applied as a powerful tool for modelling, performance evaluation, and prediction of discrete flow systems, such as computer systems, communication networks, production lines, and manufacturing systems. Queueing network models with finite capacity queues...

In a financial market, for agents with long investment horizons or at times of severe market stress, it is often changes in the asset price that act as the trigger for transactions or shifts in investment position. This suggests the use of price thresholds to simulate agent behavior over much...

Goods for which demand greatly exceeds supply are frequently allocated to citizens using queuing mechanisms. However, violence can occur either when queues are very long or when large numbers of citizens are not provided goods being allocated with queuing mechanisms. Hence, we use the theory of...

We consider a revenue maximizing make-to-order manufacturer that serves a market of price and delay sensitive customers and operates in an environment in which the market size varies stochastically over time. A key feature of our analysis is that no model is assumed for the evolution of the...