Flow Time Analysis of an Early Arrival System Using Discrete-Time Hypogeometrical Distribution

2010 ◽  
Author(s):  
Syed Asif Ali Shah ◽  
Wajihsa Shah ◽  
Safeeullah Soomro ◽  
Abdul Hameed Memon ◽  
Altaf Bouk ◽  
...  
Keyword(s):  
Discrete Time ◽  
Flow Time ◽  
Time Analysis ◽  
Early Arrival

Performance analysis of the discrete-time GI/Geom/1/N queue

1996 ◽  
Vol 33 (01) ◽  
pp. 239-255 ◽  
Author(s):  
M. L. Chaudhry ◽  
U. C. Gupta
Keyword(s):  
Performance Measures ◽  
Discrete Time ◽  
Interarrival Time ◽  
Single Server ◽  
Finite Buffer ◽  
Supplementary Variable ◽  
Time Analysis ◽  
Variable Technique ◽  
Early Arrival ◽  
Finite Buffer Queue

This paper presents an analysis of the single-server discrete-time finite-buffer queue with general interarrival and geometric service time,GI/Geom/1/N. Using the supplementary variable technique, and considering the remaining interarrival time as a supplementary variable, two variations of this model, namely the late arrival system with delayed access (LAS-DA) and early arrival system (EAS), have been examined. For both cases, steady-state distributions for outside observers as well as at random and prearrival epochs have been obtained. The waiting time analysis has also been carried out. Results for theGeom/G/1/Nqueue with LAS-DA have been obtained from theGI/Geom/1/Nqueue with EAS. We also give various performance measures. An algorithm for computing state probabilities is given in an appendix.

Performance analysis of the discrete-time GI/Geom/1/N queue

1996 ◽  
Vol 33 (1) ◽  
pp. 239-255 ◽  
Author(s):  
M. L. Chaudhry ◽  
U. C. Gupta
Keyword(s):  
Performance Measures ◽  
Discrete Time ◽  
Interarrival Time ◽  
Single Server ◽  
Finite Buffer ◽  
Supplementary Variable ◽  
Time Analysis ◽  
Variable Technique ◽  
Early Arrival ◽  
Finite Buffer Queue

This paper presents an analysis of the single-server discrete-time finite-buffer queue with general interarrival and geometric service time, GI/Geom/1/N. Using the supplementary variable technique, and considering the remaining interarrival time as a supplementary variable, two variations of this model, namely the late arrival system with delayed access (LAS-DA) and early arrival system (EAS), have been examined. For both cases, steady-state distributions for outside observers as well as at random and prearrival epochs have been obtained. The waiting time analysis has also been carried out. Results for the Geom/G/1/N queue with LAS-DA have been obtained from the GI/Geom/1/N queue with EAS. We also give various performance measures. An algorithm for computing state probabilities is given in an appendix.

Discrete time analysis of a repairable machine

2002 ◽  
Vol 39 (3) ◽  
pp. 503-516 ◽  
Author(s):  
Attahiru Sule Alfa ◽  
I. T. Castro
Keyword(s):  
Detailed Analysis ◽  
Stationary Distribution ◽  
Discrete Time ◽  
Single Machine ◽  
General Distribution ◽  
Optimal Time ◽  
Time Analysis ◽  
Machine System ◽  
Special Cases

We consider, in discrete time, a single machine system that operates for a period of time represented by a general distribution. This machine is subject to failures during operations and the occurrence of these failures depends on how many times the machine has previously failed. Some failures are repairable and the repair times may or may not depend on the number of times the machine was previously repaired. Repair times also have a general distribution. The operating times of the machine depend on how many times it has failed and was subjected to repairs. Secondly, when the machine experiences a nonrepairable failure, it is replaced by another machine. The replacement machine may be new or a refurbished one. After the Nth failure, the machine is automatically replaced with a new one. We present a detailed analysis of special cases of this system, and we obtain the stationary distribution of the system and the optimal time for replacing the machine with a new one.

Monday effect: Flow-time analysis to decrease waiting time in a Respiratory Emergency Unit

2017 ◽  
Author(s):  
Sebastian Rodriguez-Llamazares ◽  
Evelyn Lizette Sanchez-Ramos ◽  
Jessica Valencia-Rivero ◽  
Luis Joel Arroyo-Hernández ◽  
Edgar Felipe Castro-Arellano ◽  
...  
Keyword(s):  
Waiting Time ◽  
Flow Time ◽  
Emergency Unit ◽  
Time Analysis ◽  
Monday Effect
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