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Explicit Solutions for Variational Problems in the Quadrant
We study a variational problem (VP) that is related to semimartingale reflecting Brownian motions (SRBMs). Specifically, this VP appears in the large deviations analysis of the stationary… Expand
Dynamic admission and service rate control of a queue
This paper investigates a queueing system in which the controller can perform admission and service rate control. In particular, we examine a single-server queueing system with Poisson arrivals and… Expand
Modeling the reentrant job shop scheduling problem with setups for metaheuristic searches
We consider modeling the reentrant job shop scheduling problem with sequence dependent setup times in the context of metaheuristic search methods. We begin by investigating feasibility conditions… Expand
Stability of a three‐station fluid network
- J. Dai, J. Hasenbein, J. V. Vate
- Computer Science, Mathematics
- Queueing Syst. Theory Appl.
- 14 April 1999
This paper studies the stability of a three‐station fluid network. We show that, unlike the two‐station networks in Dai and Vande Vate , the global stability region of our three‐station network… Expand
Reflected Brownian motion in the quadrant: tail behavior of the stationary distribution
Let Z be a two-dimensional Brownian motion confined to the non-negative quadrant by oblique reflection at the boundary. Such processes arise in applied probability as diffusion approximations for… Expand
Stability of join-the-shortest-queue networks
- J. Dai, J. Hasenbein, Bara Kim
- Mathematics, Computer Science
- Queueing Syst. Theory Appl.
- 1 December 2007
Abstract This paper investigates stability behavior in a variant of a generalized Jackson queueing network. In our network, some customers use a join-the-shortest-queue policy when entering the… Expand
Stability and instability of a two-station queueing network
This article proves that the stability region of a two-station, five-class reentrant queueing network, operating under a nonpreemptive static buffer priority service policy, depends on the… Expand
Necessary conditions for global stability of multiclass queueing networks
- J. Hasenbein
- Computer Science
- Oper. Res. Lett.
- 1 September 1997
In this paper, we obtain necessary conditions for the global stability of a d-station multiclass queueing network. The conditions are given explicitly in terms of the average service and arrival… Expand
Instability in stochastic and fluid queueing networks
The fluid model has proven to be one of the most effective tools for the analysis of stochastic queueing networks, specifically for the analysis of stability. It is known that stability of a fluid… Expand
Production Planning and Scheduling: Interaction and Coordination
In many organizations, production planning is part of a hierarchical planning, capacity/resource allocation, scheduling and control framework. The production plan considers resource capacities, time… Expand