Equilibrium joining probabilities for an M/G/1 queue

Equilibrium in Queues Under Unknown Service Times and Service Value

In the Operations Research queue-joining literature, beginning with Naor (1969), the queue joining probability is monotonic decreasing in the queue length; the longer the queue, the fewer consumers join. Recent academic and empirical evidence indicates that queue-joining probabilities may not always be decreasing in the queue length. We provide a simple explanation for these non-monotonic queue...

Non-Threshold Equilibrium for Customers Joining an M/G/1 Queue

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 ...

Equilibrium in Queues under Unknown Service Rates and Service Value

We study a single queue joining equilibrium when there is uncertainty in the consumers’ minds about the service rate and value. Without such uncertainty, the joining equilibria are characterized by means of a single threshold queue length above which consumers do not join (Naor, 1969). We show that in the presence of such uncertainty, the equilibrium joining strategy is not fully characterized ...

A stochastic version analysis of an M/G/1 retrial queue with Bernoulli‎ ‎schedule‎

‎In this work‎, ‎we derive insensitive bounds for various performance measures of a single-server‎ ‎retrial queue with generally distributed inter-retrial times and Bernoulli schedule‎, ‎under the special‎ ‎assumption that only the customer at the head of the orbit queue (i.e.‎, ‎a‎ ‎FCFS discipline governing the flow from the orbit to the server) is allowed‎ ‎to occupy the server‎. ‎The method...