scholarly journals NEGATIVE PROBABILITIES AT WORK IN THE M/D/1 QUEUE

2006 ◽  
Vol 21 (1) ◽  
pp. 67-76 ◽  
Author(s):  
Henk Tijms ◽  
Koen Staats
Keyword(s):  
Waiting Time ◽  
Service Time ◽  
The State ◽  
Finite Capacity ◽  
Two Phase ◽  
Deterministic Service ◽  
Phase Process ◽  
Explicit Expressions

This article derives amazingly accurate approximations to the state probabilities and waiting-time probabilities in the M/D/1 queue using a two-phase process with negative probabilities to approximate the deterministic service time. The approximations are in the form of explicit expressions involving geometric and exponential terms. The approximations extend to the finite-capacity M/D/1/N + 1 queue.

scholarly journals NOTE ON APPROXIMATIONS FOR THE MULTISERVER QUEUE WITH FINITE BUFFER AND DETERMINISTIC SERVICES

2008 ◽  
Vol 22 (4) ◽  
pp. 653-658 ◽  
Author(s):  
Henk Tijms
Keyword(s):  
Performance Measures ◽  
Service Time ◽  
Finite Buffer ◽  
Two Phase ◽  
Sojourn Times ◽  
Deterministic Service ◽  
Service Times ◽  
Phase Process

This article shows that very accurate accurate approximations to performance measures in the multiserver M/D/c/c+N queue with finite buffer and deterministic service times can be obtained by replacing the deterministic service time by a two-phase process with exponential sojourn times and branching probabilities outside the interval [0, 1].

A Correlated Queue

1969 ◽  
Vol 6 (01) ◽  
pp. 122-136 ◽  
Author(s):  
B.W. Conolly ◽  
N. Hadidi
Keyword(s):  
Waiting Time ◽  
Service Time ◽  
Busy Period ◽  
The State ◽  
Queueing Model ◽  
Time Process ◽  
Waiting Time Process ◽  
The Subject ◽  
Service Pattern ◽  
Arrival Pattern

A “correlated queue” is defined to be a queueing model in which the arrival pattern influences the service pattern or vice versa. A particular model of this nature is considered in this paper. It is such that the service time of a customer is directly proportional to the interval between his own arrival and that of his predecessor. The initial busy period, state and output processes are analyzed in detail. For completeness, a sketch is also given of the analysis of the waiting time process which forms the subject of another paper. The results are used in the analysis of the state and output processes.

A Correlated Queue

1969 ◽  
Vol 6 (1) ◽  
pp. 122-136 ◽  
Author(s):  
B.W. Conolly ◽  
N. Hadidi
Keyword(s):  
Waiting Time ◽  
Service Time ◽  
Busy Period ◽  
The State ◽  
Queueing Model ◽  
Time Process ◽  
Waiting Time Process ◽  
The Subject ◽  
Service Pattern ◽  
Arrival Pattern

A “correlated queue” is defined to be a queueing model in which the arrival pattern influences the service pattern or vice versa. A particular model of this nature is considered in this paper. It is such that the service time of a customer is directly proportional to the interval between his own arrival and that of his predecessor. The initial busy period, state and output processes are analyzed in detail. For completeness, a sketch is also given of the analysis of the waiting time process which forms the subject of another paper. The results are used in the analysis of the state and output processes.

Generic application of an aqueous two-phase process for protein recovery from animal blood

2000 ◽  
Vol 35 (7) ◽  
pp. 665-673 ◽  
Author(s):  
Marco Rito-Palomares ◽  
Christopher Dale ◽  
Andrew Lyddiatt
Keyword(s):  
Protein Recovery ◽  
Two Phase ◽  
Animal Blood ◽  
Phase Process

scholarly journals MODELING OF THE OPERATIONAL SITUATION IN THE EXCLUSION ZONE

2020 ◽  
Vol 1 (1) ◽  
pp. 42-51
Author(s):  
A Tsyhankov ◽  
V Nizhnyk ◽  
Y Feshchuk ◽  
O Teslenko ◽  
Yа Ballo
Keyword(s):  
Service Time ◽  
Emergency Service ◽  
Statistical Data ◽  
The State ◽  
Empirical Dependence ◽  
Exclusion Zone ◽  
Fire Station ◽  
Service Areas ◽  
Normative Response ◽  
Definition Of

The urgency of the work is due to the objective dynamics of changes in the level of man-made and natural threats in the exclusion zone and unconditional (compulsory) resettlement, increasing the volume of taskssolved by operational and rescue units of the State Emergency Service of Ukraine, the need for security people who are, work and live in the Exclusion Zone. Potential threats and dangers in the exclusion zone and unconditional (compulsory) resettlement have been identified. The analysis of statistical data on the involvement of fire and rescue equipment for firefighting. The empirical dependence of the involvement offire and rescue equipment of the State Emergency Service of Ukraine on the elimination of fires in the exclusion zone during the year on their number has been established. It was found that most often 4 to 7 units of fire and rescue equipment of the State Emergency Service of Ukraine are involved in extinguishing fires. Based on the processing of numerical analysis of statistical data, the following conclusions were made: 95% of the time during the year, fire and rescue units are on duty (without calls); 438 hours a year put out single fires; Two hours a year, two fires are extinguished simultaneously. The analysis of calls by service time is carried out. It is established that the service time of calls of fire and rescue units in 25% of cases is up to 2 hours and in 22% of cases is 7-8 hours. An assessment of the locations of fire and rescue units and forest posts with the definition of their service areas. As a result of calculations, it was established that to ensure the normative response to fires at existing facilities in the exclusion zone, it is necessary to provide 4 additional locations of forces and means of fire and rescue units, as well as to ensure the functioning of the fire station on the Vector complex. 

scholarly journals Analysis of queue change of visitors and performace system in the Department of Population and Civil Regristation of Semarang City

2020 ◽  
Vol 202 ◽  
pp. 15005
Author(s):  
Sugito ◽  
Alan Prahutama ◽  
Dwi Ispriyanti ◽  
Mustafid
Keyword(s):  
Customer Satisfaction ◽  
Waiting Time ◽  
Public Service ◽  
Service Time ◽  
Service Sector ◽  
General Distribution ◽  
Queuing Systems ◽  
Queuing Model ◽  
The Public ◽  
Second Period

The Population and Civil Registry Office in Semarang city is one of the public service units. In the public service sector, visitor / customer satisfaction is very important. It can be identified by the length of the queue, the longer visitors queue this results in visitor dissatisfaction with the service. Queue analysis is one of the methods in statistics to determine the distribution of queuing systems that occur within a system. In this study, a queuing analysis as divided into two periods. The first period lasts from 2-13 March 2015, while the second period lasts November 16th to December 20th 2019. The variables used are the number of visitors and the service time at each counter in intervals of 30 minutes. The results obtained are changes in the distribution and queuing model that is at counter 5/6 and counter 10. The queuing model obtained at the second perideo for the number of visitors and the time of service with a General distribution. The average number of visitors who come in 30 minute intervals in the second period is more than the first period, this indicates an increase in visitors. The opportunity for service units is still small, the waiting time in the queue is getting smaller. This shows that the performance of the queuing system at the Semarang Population and Civil Registry Office is getting better.

scholarly journals FORMULATION AND EVALUATION OF ORMELOXIFENE FAST DISSOLVING TABLETS

2018 ◽  
Vol 6 (3) ◽  
pp. 17-31
Author(s):  
Abdul Hasan Sathali ◽  
Ramanathan M
Keyword(s):  
Solid Dispersion ◽  
Research Work ◽  
Solvent Evaporation ◽  
Water Soluble ◽  
Two Phase ◽  
Evaporation Technique ◽  
Co Precipitation ◽  
Phase Process

The objective of the present work was to enhancedissolution and solubility of slightly water soluble ormeloxifene hydrochloride and formulate fast dissolving tablets. The research work was two-phase process, the first phase was to enhance the solubility and dissolution of ormeloxifene. For this object drugwas processed with different solid dispersion techniques like kneading, co precipitation, melting and solvent evaporation technique with

scholarly journals A Decentralised Approach to Intersection Traffic Management

2018 ◽  
Author(s):  
Huan Vu ◽  
Samir Aknine ◽  
Sarvapali D. Ramchurn
Keyword(s):  
Quality Of Life ◽  
Waiting Time ◽  
Traffic Congestion ◽  
Traffic Management ◽  
State Of The Art ◽  
The State ◽  
Management Mechanism ◽  
Traffic Conditions

Traffic congestion has a significant impact on quality of life and the economy. This paper presents a decentralised traffic management mechanism for intersections using a distributed constraint optimisation approach (DCOP). Our solution outperforms the state of the art solution both for stable traffic conditions (about 60% reduced waiting time) and robustness to unpredictable events. 

A model for a system subject to random shocks

1993 ◽  
Vol 30 (4) ◽  
pp. 979-984 ◽  
Author(s):  
Eui Yong Lee ◽  
Jiyeon Lee
Keyword(s):  
Distribution Function ◽  
Characteristic Function ◽  
Stochastic Model ◽  
Poisson Process ◽  
The State ◽  
Stationary Case ◽  
Random Shocks ◽  
Random Amount ◽  
Explicit Expressions

A Markovian stochastic model for a system subject to random shocks is introduced. It is assumed that the shock arriving according to a Poisson process decreases the state of the system by a random amount. It is further assumed that the system is repaired by a repairman arriving according to another Poisson process if the state when he arrives is below a threshold α. Explicit expressions are deduced for the characteristic function of the distribution function of X(t), the state of the system at time t, and for the distribution function of X(t), if . The stationary case is also discussed.

On the waiting time distribution in a generalized queueing system with uniformly bounded sojourn times

1972 ◽  
Vol 9 (3) ◽  
pp. 642-649 ◽  
Author(s):  
Jacqueline Loris-Teghem
Keyword(s):  
Generating Function ◽  
Waiting Time ◽  
Service Time ◽  
Time Distribution ◽  
Queueing System ◽  
Waiting Time Distribution ◽  
Stieltjes Transform ◽  
Sojourn Times ◽  
Stieltjes Transforms ◽  
Uniformly Bounded

A generalized queueing system with (N + 2) types of triplets (delay, service time, probability of joining the queue) and with uniformly bounded sojourn times is considered. An expression for the generating function of the Laplace-Stieltjes transforms of the waiting time distributions is derived analytically, in a case where some of the random variables defining the model have a rational Laplace-Stieltjes transform.The standard Kl/Km/1 queueing system with uniformly bounded sojourn times is considered in particular.

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