Queue systems with balking : a stochastic model of price discrimination

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 Bernoulli Feedback Queue with Balking: Stochastic Order Results and Equilibrium Joining Rules

We consider customer joining behaviour for a system that consists of a FCFS queue with Bernoulli feedback. A consequence of the feedback characteristic is that the sojourn time of a customer already in the system depends on the joining decisions taken by future arrivals to the system. By establishing stochastic order results for coupled versions of the system, we prove the existence, and unique...

Developing a new stochastic competitive model regarding inventory and price

Within the competition in today’s business environment, the design of supply chains becomes more complex than before. This paper deals with the retailer’s location problem when customers choose their vendors, and inventory costs have been considered for retailers. In a competitive location problem, price and location of facilities affect demands of customers; consequently, simultaneous optimiza...

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...