MULTI-CLASS RESOURCE SHARING WITH BATCH ARRIVALS

Resource-Sharing Models with State-Dependent Arrivals of Batches

We recently developed a new algorithm for calculating the blocking probability of each class in resource-sharing models with upper limit and guaranteed minimum sharing policies as well as the standard complete-sharing policy. These models may have multiple resources and multiple classes, with each class requiring multiple units from each resource. These models may also have state-dependent arri...

Admission control with batch arrivals

We consider the problem of dynamic admission control in a multi-class Markovian loss system receiving random batches, where each admitted class-i job demands an exponential service with rate μ, and brings a reward ri. We show that the optimal admission policy is a sequential threshold policy with monotone thresholds.

Poisson and Gaussian Approximations for Multi-Server Queues with Batch Arrivals and Batch Abandonment

In this paper, we consider nonstationary multi-server queues and multiserver loss queues with batch arrivals and where we allow customer abandonment to also occur as a Markovian batch process. To estimate the performance of the system, we develop two new approximations that take advantage of the functional Kolmogorov forward equations. The first approximation we develop uses the Poisson distrib...

Numerical analysis of queues with batch arrivals

OPTIMIZATION OF MULTI PERIOD - MULTI LOCATION CONSTRUCTION PROJECTS CONSIDERING RESOURCE POOL AND BATCH ORDERING

During the past two decades, some industries have been moving towards project-centered systems in many modern countries. Therefore, managing simultaneous projects with considering the limitations in resources, equipment and manpower is very crucial. In the real world, project-based organizations are always facing with two main important features. First, the construction projects are decentraliz...