We consider an M/G/1 queue with regular and optional phase vacation and withstate dependent arrival rate. The vacation policy is after completion of service if there are no customers in the system, the server takes vacation consisting of K -phases, each phase is generally distributed. Here the first phase is compulsory where as the other phases are optional. For this model the supplementary var...

Some servers are to be located at nodes of a network. Demand for services of these servers is located at each node and a subset of the nodes is to be chosen to locate one server in each. Each customer selects a server with a probability dependent on distance and a certain amount of benefit is achieved after giving service to the customer. Customers may waive receiving service with a known prob...

On the basis of a set Fluid Mechanics Multiple-Choice Tests (FMMCT) in form MS Word files, author used programming languages and open source programs Android Studio, PHP, Java Script, HTML, Hot Potatoes 6 to proceed developing an FMMCT program FluidMCT, operating on smartphones with system, create favorable conditions for learning fluid mechanics better. The consists two parts: (1) be installed...

some servers are to be located at nodes of a network. demand for services of these servers is located at each node and a subset of the nodes is to be chosen to locate one server in each. each customer selects a server with a probability dependent on distance and a certain amount of benefit is achieved after giving service to the customer. customers may waive receiving service with a known proba...

Systems with voice control are an attractive option for increasing technological integration, not only people little knowledge on technology or constrained Internet access, but also certain disabilities. In addition, devices based Alexa Google Home provide interesting alternative interacting of Things (IoT) devices, they usually rely connection to a cloud server their full operation. Furthermor...