A system with several queues is considered. Each queue has a server with exponential servicetime with same service rate. Normal customers arrive at the system and choose which queue to join. Theyare supposed to join the shortest queue. Special customers also arrive at the system though the arrivals arerare. They can also choose which queue to join and they have other options, waitin...

The crack developing depth is a key problem to slope stability of the expansive soil and its project governance and the crack appears under the roles of dry-wet cycle and gradually develops. It is believed from the analysis that, because of its own cohesion, the expansive soil will have a certain amount of deformation under pulling stress but without cracks. The soil body will crack only when t...

One dominant aspect of cities is transport and massive passenger mobilization which remains a challenge with the increasing demand on public as grow. In addition, infrastructure suffers from traffic congestion deterioration, reducing its efficiency. this paper, we study capacity in 33 worldwide metro systems under accumulation damage. We explore gradual reduction functionality these associated ...