This paper provides steady state queue-size distribution for a G/G/1 queue by using principle of maximum entropy. For this purpose we have used average queue length and normalizing condition as constraints to derive queue-size distribution. Our results give good approximation as demonstrated by taking a numerical illustration. In particular case when square coefficient of variation of inter-arr...

Tandem Queues are widely used in mathematical modeling of random processes describing the operation of Manufacturing systems , supply chains, Computer and telecommunication networks. In many of the communication systems the arrivals are time dependent and can be characterized by a non homogeneous Poisson process. In this paper we developed and analyzed three nodes connected in tandem Queue with...

in this paper, we study the network location problem for two congestible facilities, considering impatient customers. we suppose that when a customer arrives his/her corresponding facility and faces a queue with the size more than a predetermined threshold, the customer decides not to join the queue but to go to the closest facility to current facility. in the second facility, if the queue size...

a single server queue with bernoulli vacation has been considered. in addition the admission to queue is based on a bernoulli process and the server gives two type of services. for this model the probability generating function for the number of customers in the queue at different server's state are obtained using supplementary variable technique. some performance measures are calculated. ...

In this paper, we address the issue of congestion in future Unmanned Aerial Vehicle (UAVs) traffic system uncertain weather. We treat UAVs as fluid queues, and introduce models for dynamics at three basic components: single link, tandem merge link. The impact weather uncertainty is captured fluctuation saturation rate queue discharge (capacity). assumed to follow a continuous-time Markov proces...

this paper analyzes a renewal input  working vacations queue with change over times and bernoulli schedulevacation interruption under (a,c,b) policy.the service and vacation times are exponentially distributed.the server begins service if there are at least c units in the queue and the service takes place in batches with a minimum of size a and a maximum of size b (a

Active Queue Management (AQM) plays an important role in the Internet congestion control. It tries to enhance congestion control, and to achieve tradeoff between bottleneck utilization and delay. Random Early Detection (RED) is the most popular active queue management algorithm that has been implemented in the in Internet routers and is trying to supply low delay and low packet loss. RED al...

We compare two routing-control strategies in a high-speed communication network with c parallel channels (routes), where information on service completions in down-stream servers is randomly delayed. The controller can either hold arriving messages in a common buffer, dispatching them to servers only when the delayed information becomes available (Wait option), or route jobs to the various chan...