The transient M/D/c Queueing System
نویسنده
چکیده
For any initial state of the M/D/c queueing system this paper presents explicit expressions for the transient distributions of the number of customers in the system at time t > 0, the virtual waiting time for a customer arriving at time t > 0, the queue length at the service intitiation of the nth customer, and the waiting time of the nth customer to be served after t = 0. The analysis requires neither generating functions nor Laplace transforms, and the resulting expressions present no numerical complications, not even for high traffic intensities.
منابع مشابه
Transient Analysis of M/M/R Machining System with Mixed Standbys, Switching Failures, Balking, Reneging and Additional Removable Repairmen
The objective of this paper is to study the M/M/R machine repair queueing system with mixed standbys. The life-time and repair time of units are assumed to be exponentially distributed. Failed units are repaired on FCFS basis. The standbys have switching failure probability q (0≤q≤1). The repair facility of the system consists of R permanent as well as r additional removable repairmen. Due to i...
متن کاملA New Heuristic Solution Method for Maximal Covering Location-Allocation Problem with M/M/1 Queueing System
We consider the queueing maximal covering location-allocation problem (QM-CLAP) with an M/M/1 queueing system. We propose a new solution procedure based on decomposition of the problem into smaller sub-problems. We solve the resulting sub-problems both with a branch and bound algorithm and with the meta-heuristic GRASP. We also solve the entire model with GRASP. Computational results for these ...
متن کاملDiscrete Time Analysis of Multi-Server Queueing System with Multiple Working Vacations and Reneging of Customers
This paper analyzes a discrete-time $Geo/Geo/c$ queueing system with multiple working vacations and reneging in which customers arrive according to a geometric process. As soon as the system gets empty, the servers go to a working vacations all together. The service times during regular busy period, working vacation period and vacation times are assumed to be geometrically distributed. Customer...
متن کاملA Simulation Approach to Evaluate Performance Indices of Fuzzy Exponential Queuing System (An M/M/C Model in a Banking Case Study)
This paper includes a simulation model built in order to predict the performance indicessuch aswaiting time by analyzing queue’s components in the real world under uncertain and subjective situation. The objective of this paper is to predict the waiting time of each customer in an M/M/C queuing model. In this regard, to enable decision makers to obtain useful results with enough knowledge on th...
متن کاملDiffusion Process for GX/G/M Queuing System with Balking and Reneging
In the present investigation transient, G x/G/m queuing model with balking and reneging has been studied. The diffusion process with elementary return boundary has been used for modeling purpose. The probability density function (p. d. f.) for the number of customers in the system has been obtained. In special case, the steady state results that tally with those of Kimura and Ohsone have been e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002