Deducing Queueing from Transactional Data: The Queue Inference Engine, Revisited
نویسندگان
چکیده
Larson [1] proposed a method to statistically infer the expected transient queue length during a busy period in 0(n 5) solely from the n starting and stopping times of each customer's service during the busy period and assuming the arrival distribution is Poisson. We develop a new O(n 3) algorithm which uses this data to deduce transient queue lengths as well as the waiting times of each customer in the busy period. We also develop an O(n) on line algorithm to dynamically update the current estimates for queue lengths after each departure. Moreover we generalize our algorithms for the case of time-varying Poisson process and also for the case of iid interarrival times with an arbitrary distribution. We report computational results that exhibit the speed and accuracy of our algorithms. sabbatical leave from GTE Laboratories.
منابع مشابه
Packet Models Revisited: Tandem and Priority Systems
We examine two extensions of traditional single-node packet-scale queueing models: tandem networks and (strict) priority systems. Two generic input processes are considered: periodic and Poisson arrivals. For the two-node tandem, an exact expression is derived for the joint distribution of the total queue length, and the queue length of the first queue, implicitly determining the distribution o...
متن کاملOptimizing the Number of Robots for Web Search Engines
Robots are deployed by a Web search engine for collecting information from diierent Web servers in order to maintain the currency of its data base of Web pages. In this paper, we investigate the number of robots to be used by a search engine so as to maximize the currency of the data base without putting an unnecessary load on the network. We use a queue-ing model to represent the system. The a...
متن کاملNew directions in queue inference for management implementation
Queue inference is a method of utilizing service-time data, available from ATM's, point-of-sale terminals, and other sources of transactional data, in order to estimate queue parameters. Three basic limitations to the standard method of queue inference are: the statistics generated by the algorithm may not be extensive enough; the running time for the algorithm is too long for large congestion ...
متن کاملMultiple vacation policy for MX/Hk/1 queue with un-reliable server
This paper studies the operating characteristics of an MX/Hk/1 queueing system under multiple vacation policy. It is assumed that the server goes for vacation as soon as the system becomes empty. When he returns from a vacation and there is one or more customers waiting in the queue, he serves these customers until the system becomes empty again, otherwise goes for another vacation. The brea...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Operations Research
دوره 40 شماره
صفحات -
تاریخ انتشار 1992