Little, A proof for the queueing formula L=λW, Oper. Kooharian, On time dependent queueing processes, Ann. One of the words that people are looking for when they look up que is queue, a word that means line (as in, We waited in the ticket queue.) Sometimes people are looking for the homonym cue, or a signal to start or do something (The lights just went outthat’s my cue to start the movie.). Young, A service system with unfilled requests repeated, Oper. Falin, On the waiting-time process in a single line queue with repeated calls, J. Conolly, Generalized state-dependent Erlangian queues: Speculations about calculating measures of effectiveness, J.
Cohen, On the fundamental problems of telephone traffic theory and the influence of repeated calls, Philips Telecomm. Clos, An aspect of the dialing behaviour of subscribers and its effect on the trunk plant, Bell Syst. We calculate several characteristics quantities of such systems, assuming a general service-time distribution and different exponential distributions for the times between arrivals of first and repeat requests.Ĭ. Finally, the LCFS discipline governs the customers in orbit and the server takes an exponentially distributed vacation after each service is completed. Secondly, the FCFS discipline operates for the unsatisfied customers in orbit. Queue theorists have calculated that if you have a single winding line, called a serpentine line, instead of multiple checkout areas, where customers can be. First, all customers in orbit can reapply, but are discouraged and reduce their rate of demand as more customers join the orbit.
In this paper we consider three models characterized by the discipline governing the order of re-request of service from orbit. Such a customer is said to be in “orbit”. We analyze a model of a queueing system in which customers can only call in to request service: if the server is free, the customer enters service immediately, but if the service system is occupied, the unsatisfied customer must break contact and reinitiate his request later.