State dependent queueing models under admission control F-policy: a survey

Abstract

The optimal F-policy can be used to control the admission of customers in queueing scenarios having limited waiting space. According to F-policy, as soon as the capacity of the system becomes full, the arriving customers are restricted to join the system until there is a drop in the number of customers in the system to a threshold level ‘F’ due to departure of the served customers. In spite of enormous applications of F-policy models in several queueing systems, a limited number of papers has appeared in the queueing literature. The main objective of this article is to provide a state-of-the-art and survey of literature on the state dependent queueing models operating under F-policy. In this article, we describe the mathematical formulation of queueing models operating under F-policy in two categories namely, finite capacity and finite population models. The methodological aspect of non-Markov models with F-policy is presented. The exhaustive list of work done on F-policy is also provided in tabular form.