An Analytical Solution for Queue: M/D/1 with Balking

Transient Solution of an M/M/1 Variant Working Vacation Queue with Balking

This paper presents the transient solution of a variant working vacation queue with balking. Customers arrive according to a Poisson process and decide to join the queue with probability $b$ or balk with $bar{b} = 1-b$. As soon as the system becomes empty, the server takes working vacation. The service times during regular busy period and working vacation period, and vacation times are assumed ...

Balking Strategies in an Observable Queue with Vacations ⋆

This paper compares the equilibrium threshold strategies of customers with different decision criteria in an observable queue with multiple vacations. Customers are not informed of the service time distribution and the state of the server, whereas they are told that the expected service time is an alternative of two values or the variable service time belongs to an interval. We find that both t...

Controllable Multi-Server Queue with Balking (TECHNICAL NOTE)

M m m Queue with Balking, Reneging and Additional Servers

In this paper, we consider a multi-server queuing system in which additional servers are allowed for a longer queue to reduce the customer’s balking and reneging behavior. The customers are assumed to arrive in Poisson fashion and their service- times follow exponential distribution. The number of servers in long run depends on the queue-length. We obtain equilibrium queue size distribution. Th...

The Matrix-Geometric Solution of the M/Ek/1 Queue with Balking and State-Dependent Service

In this paper, we present an analysis for an M/Ek/1 queuing system with balking and state-dependent service. Customers are served with two different rates depending on the number of customers in the system. If a customer on arrival finds other customers in the system, it either decides to enter the queue or balks with a constant probability. We first formulate the queuing model as a quasi-birth...