scholarly journals A model for waiting times for non-stationary queueing systems

2016 ◽  
Vol 6 (1) ◽  
pp. 68-71
Author(s):  
Mihir Dash
Keyword(s):  
Stochastic Models ◽  
Queueing System ◽  
Waiting Times ◽  
Queueing Systems ◽  
The Other ◽  
Queueing Models ◽  
Simulation Methods ◽  
Other Hand

Queueing models are stochastic models that represent the probability that a queueing system will be found in a particular configuration or state. Several interesting stationary queueing systems have been solved analytically; on the other hand, non-stationary queueing systems are relatively unexplored. The present study analyses the waiting times of a non-stationary M/M/1 queueing system using simulation methods.

A solvable model for a finite-capacity queueing system

1985 ◽  
Vol 22 (4) ◽  
pp. 903-911 ◽  
Author(s):  
V. Giorno ◽  
C. Negri ◽  
A. G. Nobile
Keyword(s):  
Queueing System ◽  
Waiting Times ◽  
Queueing Systems ◽  
Solvable Model ◽  
Probability Density Functions ◽  
Single Server ◽  
Finite Capacity ◽  
System Service ◽  
Transient Probabilities ◽  
Number Of Customers

Single–server–single-queue–FIFO-discipline queueing systems are considered in which at most a finite number of customers N can be present in the system. Service and arrival rates are taken to be dependent upon that state of the system. Interarrival intervals, service intervals, waiting times and busy periods are studied, and the results obtained are used to investigate the features of a special queueing model characterized by parameters (λ (Ν –n), μn). This model retains the qualitative features of the C-model proposed by Conolly [2] and Chan and Conolly [1]. However, quite unlike the latter, it also leads to closed-form expressions for the transient probabilities, the interarrival and service probability density functions and their moments, as well as the effective interarrival and service densities and their moments. Finally, some computational results are given to compare the model discussed in this paper with the C-model.

scholarly journals Simulation of optimizing decisions and risk analysis in investment plans

2007 ◽  
pp. 160-164
Author(s):  
Szilvia Katona ◽  
Imre Ertsey
Keyword(s):  
Risk Factors ◽  
Risk Analysis ◽  
The Other ◽  
Simulation Methods ◽  
Prospective Data ◽  
Financing Decisions ◽  
Other Hand ◽  
The Future

Investments always contain risks, as data referring to the future are planned and uncertain. Therefore, besides feasibility analyses we need to perform risk analyses, as well. Through statistic simulation methods, our aim is to examine how uncertain and prospective data as risk factors affect investment-profitability indices. On the other hand, our aim is to find out the optimal innovation – financing decisions by using decision optimizingmethods.

scholarly journals Stochastic Simulation of Evaporation Data for Australia

1983 ◽  
Vol 14 (4) ◽  
pp. 207-228 ◽  
Author(s):  
R. Srikanthan ◽  
T. A. McMahon
Keyword(s):  
Stochastic Simulation ◽  
Stochastic Models ◽  
Daily Rainfall ◽  
Rainfall Data ◽  
The Other ◽  
Other Hand ◽  
Daily Rainfall Data ◽  
Daily Evaporation

Stochastic models are developed to simulate annual, monthly and daily evaporation data for Australia. For annual and monthly synthesis, the evaporation values are generated independently and dependently of rainfall; on the other hand, generation of daily evaporation is based on the knowledge of occurrence of daily rainfall. Data from nine Australian stations are used to illustrate applications of the models.

A solvable model for a finite-capacity queueing system

1985 ◽  
Vol 22 (04) ◽  
pp. 903-911 ◽  
Author(s):  
V. Giorno ◽  
C. Negri ◽  
A. G. Nobile
Keyword(s):  
Queueing System ◽  
Waiting Times ◽  
Queueing Systems ◽  
Solvable Model ◽  
Probability Density Functions ◽  
Single Server ◽  
Finite Capacity ◽  
System Service ◽  
Transient Probabilities ◽  
Number Of Customers

Single–server–single-queue–FIFO-discipline queueing systems are considered in which at most a finite number of customers N can be present in the system. Service and arrival rates are taken to be dependent upon that state of the system. Interarrival intervals, service intervals, waiting times and busy periods are studied, and the results obtained are used to investigate the features of a special queueing model characterized by parameters (λ (Ν –n), μn). This model retains the qualitative features of the C-model proposed by Conolly [2] and Chan and Conolly [1]. However, quite unlike the latter, it also leads to closed-form expressions for the transient probabilities, the interarrival and service probability density functions and their moments, as well as the effective interarrival and service densities and their moments. Finally, some computational results are given to compare the model discussed in this paper with the C-model.

A queueing process with the possibility of customers becoming servers

1991 ◽  
Vol 23 (4) ◽  
pp. 957-971
Author(s):  
Wen-Jang Huang ◽  
Prem S. Puri
Keyword(s):  
Asymptotic Behavior ◽  
Joint Distribution ◽  
Queueing System ◽  
Waiting Times ◽  
Queueing Systems ◽  
Queue Size ◽  
Queueing Process

A new queueing system called G/G/{p} is introduced and studied. In this queue, unlike standard queues, the customers after being served are allowed to become servers themselves. More precisely, at the completion of his service each customer is assumed to become a server with probability p or leave the system with probability 1 – p, independent of everything else. We make some comparisons about the waiting times and queue sizes among different queueing systems. We also study the joint distribution of the queue size, the number of servers and the number of departures at time t for exact and asymptotic behavior for large t.

scholarly journals A unifying nonlinear probabilistic epidemic model in space and time

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Roberto Beneduci ◽  
Eleonora Bilotta ◽  
Pietro Pantano
Keyword(s):  
Mathematical Modelling ◽  
Stochastic Models ◽  
Probabilistic Model ◽  
The Other ◽  
Kolmogorov Equation ◽  
Statistical Interpretation ◽  
Deterministic Models ◽  
Continuous Space ◽  
Other Hand ◽  
Non Linear

AbstractCovid-19 epidemic dramatically relaunched the importance of mathematical modelling in supporting governments decisions to slow down the disease propagation. On the other hand, it remains a challenging task for mathematical modelling. The interplay between different models could be a key element in the modelling strategies. Here we propose a continuous space-time non-linear probabilistic model from which we can derive many of the existing models both deterministic and stochastic as for example SI, SIR, SIR stochastic, continuous-time stochastic models, discrete stochastic models, Fisher–Kolmogorov model. A partial analogy with the statistical interpretation of quantum mechanics provides an interpretation of the model. Epidemic forecasting is one of its possible applications; in principle, the model can be used in order to locate those regions of space where the infection probability is going to increase. The connection between non-linear probabilistic and non-linear deterministic models is analyzed. In particular, it is shown that the Fisher–Kolmogorov equation is connected to linear probabilistic models. On the other hand, a generalized version of the Fisher–Kolmogorov equation is derived from the non-linear probabilistic model and is shown to be characterized by a non-homogeneous time-dependent diffusion coefficient (anomalous diffusion) which encodes information about the non-linearity of the probabilistic model.

A queueing process with the possibility of customers becoming servers

1991 ◽  
Vol 23 (04) ◽  
pp. 957-971
Author(s):  
Wen-Jang Huang ◽  
Prem S. Puri
Keyword(s):  
Asymptotic Behavior ◽  
Joint Distribution ◽  
Queueing System ◽  
Waiting Times ◽  
Queueing Systems ◽  
Queue Size ◽  
Queueing Process

A new queueing system called G/G/{p} is introduced and studied. In this queue, unlike standard queues, the customers after being served are allowed to become servers themselves. More precisely, at the completion of his service each customer is assumed to become a server with probability p or leave the system with probability 1 – p, independent of everything else. We make some comparisons about the waiting times and queue sizes among different queueing systems. We also study the joint distribution of the queue size, the number of servers and the number of departures at time t for exact and asymptotic behavior for large t.

scholarly journals A first passage problem and its applications to the analysis of a class of stochastic models

1992 ◽  
Vol 5 (1) ◽  
pp. 83-97 ◽  
Author(s):  
Lev Abolnikov ◽  
Jewgeni H. Dshalalow
Keyword(s):  
Inventory Control ◽  
Stochastic Models ◽  
Queueing System ◽  
Queueing Systems ◽  
First Passage ◽  
Numerical Examples ◽  
Fixed Level ◽  
Service Delay ◽  
Probability Methods ◽  
First Passage Problem

A problem of the first passage of a cumulative random process with generally distributed discrete or continuous increments over a fixed level is considered in the article as an essential part of the analysis of a class of stochastic models (bulk queueing systems, inventory control and dam models).Using direct probability methods the authors find various characteristics of this problem: the magnitude of the first excess of the process over a fixed level, the shortage before the first excess, the levels of the first and pre-first excesses, the index of the first excess and others. The results obtained are illustrated by a number of numerical examples and then are applied to a bulk queueing system with a service delay discipline.

scholarly journals PEMBERDAYAAN POKDARWIS TAZGK DALAM PENGEMBANGAN DESA WISATA DI KADUENGANG

2020 ◽  
Vol 1 (1) ◽  
pp. 17
Author(s):  
Chotibul Umam ◽  
Frebhika Sri Puji Pangesti ◽  
Eka Indah Yuslistyari
Keyword(s):  
The Other ◽  
Online Media ◽  
Simulation Methods ◽  
Tour Guide ◽  
Tourist Attractions ◽  
Other Hand ◽  
Religious Tourism

Kelompok Sadar Wisata (POKDARWIS) Taman Alam Ziarah Gunung Karang (TAZGK) adalah kelompok yang mengelola wisata di Desa Kaduengang, Kecamatan Cadasari, Kabupaten Pandeglang. Daya Tarik Wisata yang ada di desa Kaduengang adalah Wisata Alam, Budaya dan Religi. Dominasi Wisatawan adalah wisatawan Nusantara (Wisnus) dengan data kunjungan pada tahun 2017 mencapai 1000 wisatawan perminggunya. Permasalahan pada kelompok Pokdarwis TAZGK adalah wisatawan hanya melakukan aktifitas pada dua daya tarik wisata saja yaitu Ziarah ke Sumur Tujuh dan Pendakian ke Gunung Karang, Disisi lain adalah aggotanya belum dibekali pelatihan kepemanduan wisata, Permasalahan lainnya adalah pembuatan produk paket wisata desa Kaduengang. Solusi dalam pengabdian ini adalah dengan memberikan pelatihan pemandu wisata lokal bagi pokdarwis TAZGK, sehingga dalam melayani tamu memiliki standar sesuai SKKNI kepemanduan wisata. Pokdarwis juga dibekali pengetahuan dalam pengembangan produk Paket Wisata Desa Kaduengang yang akan dipromosikan melalui website Pokdarwis TAZGK maupun media online. Metode pelaksanaan kegiatan dengan pelatihan dengan mitra, dengan metode ceramah, diskusi, curah pendapat dan simulasi. Tourism Awareness Group (POKDARWIS) Taman Alam Ziarah Gunung Karang (TAZGK), is a group that manages tours at Desa Kaduengang, Kecamatan Cadasari, Kabupaten Pandeglang. Attractions in Desa Kaduengang are Natural, Cultural and Religious Tourism. Tourist Domination is a local tourist with data on visits in 2017, reaching 1000/week. The problem of Pokdarwis TAZGK is that tourists only carry out activities on two tourist attractions, Pilgrimage to Sumur Tujuh and Climbing to Gunung Karang. on the other hand, the members are not yet equipped with tour guide training, another problem is the manufacture of Kaduengang village tourism package products. The solution in this dedication is to provide local tour guide training for Pokdarwis TAZGK so that in serving guests they have standards according to the SKKNI tour guide. Polaris is also equipped with knowledge in the development of the Kaduengang Village Tourism Package product which will be promoted through the Pokdarwis TAZGK website and online media. Methods of implementing activities by training with partners by lecturing, discussion, brainstorming and simulation methods 

A study of cometary eruptions through OH radio-lines

1999 ◽  
Vol 173 ◽  
pp. 249-254
Author(s):  
A.M. Silva ◽  
R.D. Miró
Keyword(s):  
Short Duration ◽  
Growth Curves ◽  
The Other ◽  
Initial Mass ◽  
Radio Lines ◽  
Other Hand ◽  
Sudden Rise

AbstractWe have developed a model for theH2OandOHevolution in a comet outburst, assuming that together with the gas, a distribution of icy grains is ejected. With an initial mass of icy grains of 108kg released, theH2OandOHproductions are increased up to a factor two, and the growth curves change drastically in the first two days. The model is applied to eruptions detected in theOHradio monitorings and fits well with the slow variations in the flux. On the other hand, several events of short duration appear, consisting of a sudden rise ofOHflux, followed by a sudden decay on the second day. These apparent short bursts are frequently found as precursors of a more durable eruption. We suggest that both of them are part of a unique eruption, and that the sudden decay is due to collisions that de-excite theOHmaser, when it reaches the Cometopause region located at 1.35 × 105kmfrom the nucleus.

Sign in / Sign up

Export Citation Format

Share Document