conclusions according to the results, there was a direct correlation between access to physical space in ed and waiting time. in addition, improving the physical access did not necessarily result in shorter waiting time. therefore, to improve triage process, improvement of waiting time indices, and modifying forms of work process in ed are recommended. results the correlation between the waitin...

The notation G/G/1 queue is usually referred to a single-server queue with first-in-first-out discipline and with a general distribution of the sequences of inter-arrival and service times (which are the “driving sequences” of the system). Customers are numbered n = 0, 1, . . .. We assume that customer 0 arrives to a system at time t = 0 and finds there an initial amount of work, so has to wait...

We consider a single server system with infinite waiting room in a random environment. The service system and the environment interact in both directions. Whenever the environment enters a specific subset of its state space the service process is completely blocked: Service is interrupted and newly arriving customers are lost. We prove an if-and-only-if-condition for a product form steady state...

In personalized queues, information at the level of individuals – customers or servers – is affecting system dynamics. Such information is becoming increasingly accessible, directly or statistically, as exemplified by personalized medicine (customers) or call-center workforce management (servers). In the present work, we take advantage of personalized information about customers, specifically k...

this paper analyzes an m/m/2 queueing system with two heterogeneous servers. both servers goes on vacation when there is no customers waiting for service after this server 1 is always available but the other goes on vacation whenever server 2 is idle. the vacationing server however, returns to serve at a low rate as an arrival finds the other server busy. the system is analyzed in the steady st...

the purpose of this study is estimate waiting time of frost occurrence over iran. the daily data from 663 synoptic and climatology over iran during 1/1/1340 to 11/10/1383 have been used. data interpolated by kriging method on 15ã—15 km pixels. the data base with dimension 15992ã—7187 obtained that on the rows were days and on the column were pixels. by t student test the interval mean of waitin...

Consider a non-preemptive M/M/1 system with two first-come first-served queues, virtual (VQ) and system (SQ). An arriving customer who finds the server busy decides which queue to join. Customers in the SQ have non-preemptive priority over those in the VQ, but waiting in the SQ is more costly. We study two information models of the system. In the unobservable model customers are notified only w...

Suppose that you are going to school and arrive at a bus stop. How long do have wait before the next arrives? Surprisingly, it is longer—possibly much longer—than what might guess from looking schedule. This phenomenon, which called waiting-time paradox, has purely mathematical origin. In this article, we explore explain why occurs, discuss some of its implications (beyond possibility being lat...

In personalized queues, information at the level of individuals – customers or servers – is affecting system dynamics. Such information is becoming increasingly accessible, directly or statistically, as exemplified by personalized/precision medicine (customers) or call-center workforce management (servers). In the present work, we take advantage of personalized information about customers, spec...

We introduce the concert (or cafeteria) queueing problem: A finite but large number of customers arrive into a queueing system that starts service at a specified opening time. Each customer is free to choose her arrival time (before or after opening time), and is interested in early service completion with minimal wait. These goals are captured by a cost function which is additive and linear in...