Comparison Results for Markov-Modulated Recursive Models

1997 ◽  
Vol 11 (2) ◽  
pp. 203-217 ◽  
Author(s):  
Nicole Bäuerle ◽  
Ulrich Rieder
Keyword(s):  
Transition Matrix ◽  
Stochastic Ordering ◽  
Queueing Model ◽  
Recursive Models ◽  
Comparison Results ◽  
External Process ◽  
Consumption Model ◽  
System States ◽  
Markov Modulated ◽  
Time Division

We consider a general discrete-time stochastic recursive model that is influenced by an external Markov chain. Our aim is to investigate the effect that the transition matrix of the external process has on the system states of the model. To answer this question, we use new stochastic ordering concepts. Especially interesting are the results for infinite-stage Markov-modulated models. We illustrate our main results by three applications: an inventory model, a consumption model, and a queueing model for a time division multiplexing system.

Monotonicity results for MR/GI/1 queues

1997 ◽  
Vol 34 (02) ◽  
pp. 514-524 ◽  
Author(s):  
Nicole Bäuerle
Keyword(s):  
Markov Chain ◽  
Waiting Time ◽  
Transition Matrix ◽  
Stochastic Ordering ◽  
Arrival Process ◽  
Stationary Waiting Time ◽  
Monotonicity Results

This paper considers queues with a Markov renewal arrival process and a particular transition matrix for the underlying Markov chain. We study the effect that the transition matrix has on the waiting time of the nth customer as well as on the stationary waiting time. The main theorem generalizes results of Szekli et al. (1994a) and partly confirms their conjecture. In this context we show the importance of a new stochastic ordering concept.

A Markov-modulated fluid flow queueing model under D -policy

2011 ◽  
Vol 18 (6) ◽  
pp. 993-1010 ◽  
Author(s):  
Jung Woo Baek ◽  
Ho Woo Lee ◽  
Se Won Lee ◽  
Soohan Ahn
Keyword(s):  
Fluid Flow ◽  
Queueing Model ◽  
Markov Modulated

Monotonicity results for MR/GI/1 queues

1997 ◽  
Vol 34 (2) ◽  
pp. 514-524 ◽  
Author(s):  
Nicole Bäuerle
Keyword(s):  
Markov Chain ◽  
Waiting Time ◽  
Transition Matrix ◽  
Stochastic Ordering ◽  
Arrival Process ◽  
Stationary Waiting Time ◽  
Monotonicity Results

This paper considers queues with a Markov renewal arrival process and a particular transition matrix for the underlying Markov chain. We study the effect that the transition matrix has on the waiting time of the nth customer as well as on the stationary waiting time. The main theorem generalizes results of Szekli et al. (1994a) and partly confirms their conjecture. In this context we show the importance of a new stochastic ordering concept.

scholarly journals Information Generating Function of Ranked Set Samples

Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1381
Author(s):  
Omid Kharazmi ◽  
Mostafa Tamandi ◽  
Narayanaswamy Balakrishnan
Keyword(s):  
Generating Function ◽  
Random Sampling ◽  
Stochastic Ordering ◽  
Simple Random Sampling ◽  
Ranked Set Sampling ◽  
Divergence Measure ◽  
Relative Information ◽  
Comparison Results

In the present paper, we study the information generating (IG) function and relative information generating (RIG) function measures associated with maximum and minimum ranked set sampling (RSS) schemes with unequal sizes. We also examine the IG measures for simple random sampling (SRS) and provide some comparison results between SRS and RSS procedures in terms of dispersive stochastic ordering. Finally, we discuss the RIG divergence measure between SRS and RSS frameworks.

scholarly journals Does Markov-Modulation Increase the Risk?

1995 ◽  
Vol 25 (1) ◽  
pp. 49-66 ◽  
Author(s):  
Søren Asmussen ◽  
Andreas Frey ◽  
Tomasz Rolski ◽  
Volker Schmidt
Keyword(s):  
Arrival Rate ◽  
Poisson Model ◽  
Stochastic Ordering ◽  
Claim Size ◽  
Compound Poisson ◽  
Compound Poisson Model ◽  
Markov Modulated ◽  
Stop Loss ◽  
Risk Processes ◽  
Over Time

AbstractIn this paper we compare ruin functions for two risk processes with respect to stochastic ordering, stop-loss ordering and ordering of adjustment coefficients. The risk processes are as follows: in the Markov-modulated environment and the associated averaged compound Poisson model. In the latter case the arrival rate is obtained by averaging over time the arrival rate in the Markov modulated model and the distribution of the claim size is obtained by averaging the ones over consecutive claim sizes.

scholarly journals Dynamic Cognitive Self-Organized TDMA for Medium Access Control in Real-Time Vehicle to Vehicle Communications

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Mario Manzano ◽  
Felipe Espinosa ◽  
Ángel M. Bravo-Santos ◽  
Enrique Santiso ◽  
Ignacio Bravo ◽  
...  
Keyword(s):  
Access Control ◽  
Medium Access Control ◽  
Real Time ◽  
Transport Systems ◽  
Mobile Environment ◽  
Medium Access ◽  
Adaptation Capacity ◽  
Original Proposal ◽  
Comparison Results ◽  
Time Division

The emergence of intelligent transport systems has brought out a new set of requirements on wireless communication. To cope with these requirements, several proposals are currently under discussion. In this highly mobile environment, the design of a prompt, efficient, flexible, and reliable medium access control, able to cover the specific constraints of the named real-time communications applications, is still unsolved. This paper presents the original proposal integrating Non-Cooperative Cognitive Time Division Multiple Access (NCC-TDMA) based on Cognitive Radio (CR) techniques to obtain a mechanism which complies with the requirements of real-time communications. Though the proposed MAC uses a slotted channel, it can be adapted to operate on the physical layer of different standards. The authors’ analysis considers the IEEE WAVE and 802.11p as the standards of reference. The mechanism also offers other advantages, such as avoiding signalling and the adaptation capacity to channel conditions and interferences. The solution is applied to the problem of units merging a convoy. Comparison results between NCC-TDMA and Slotted-Aloha are included.

scholarly journals Vacation Queueing Model for Performance Evaluation of Multiple Access Information Transmission Systems without Transmission Interruption

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1508
Author(s):  
Alexander Dudin ◽  
Sergei Dudin ◽  
Valentina Klimenok ◽  
Yuliya Gaidamaka
Keyword(s):  
Multiple Access ◽  
Queueing System ◽  
Stable Operation ◽  
Polling System ◽  
Queueing Model ◽  
World Systems ◽  
Realistic Assumption ◽  
Transmission Interruption ◽  
Access Information ◽  
System States

We consider a MAP/PH/1-type queueing system with server vacations as a model that is useful for the analysis of multiple access systems with polling discipline without transmission interruption. Vacation of the server corresponds to the service providing competitive information flows to the polling system. In this paper, we consider a vacation queueing model under pretty general assumptions about the probabilistic distributions describing the behavior of the system and the realistic assumption, in many real-world systems, that ongoing service cannot be terminated ahead of schedule. We derive the criterion of the stable operation of the system and the stationary distributions of the system states and the waiting time. An illustrative numerical example is presented.

Perceptions of Stuttering of Different Age Groups

2019 ◽  
Vol 4 (6) ◽  
pp. 1311-1315
Author(s):  
Sergey M. Kondrashov ◽  
John A. Tetnowski
Keyword(s):  
Age Groups ◽  
School Age Children ◽  
Clinical Implications ◽  
School Age ◽  
Fourth Edition ◽  
Self Perception ◽  
Behavioral Measures ◽  
Self Rating ◽  
Comparison Results ◽  
Subject Pool

Purpose The purpose of this study was to assess the perceptions of stuttering of school-age children who stutter and those of adults who stutter through the use of the same tools that could be commonly used by clinicians. Method Twenty-three participants across various ages and stuttering severity were administered both the Stuttering Severity Instrument–Fourth Edition (SSI-4; Riley, 2009 ) and the Wright & Ayre Stuttering Self-Rating Profile ( Wright & Ayre, 2000 ). Comparisons were made between severity of behavioral measures of stuttering made by the SSI-4 and by age (child/adult). Results Significant differences were obtained for the age comparison but not for the severity comparison. Results are explained in terms of the correlation between severity equivalents of the SSI-4 and the Wright & Ayre Stuttering Self-Rating Profile scores, with clinical implications justifying multi-aspect assessment. Conclusions Clinical implications indicate that self-perception and impact of stuttering must not be assumed and should be evaluated for individual participants. Research implications include further study with a larger subject pool and various levels of stuttering severity.

DETERMINATION OF THE TRANSITION MATRIX WITH N-COUPLED CHANNELS

1989 ◽  
Vol 50 (C1) ◽  
pp. C1-119-C1-125 ◽  
Author(s):  
S. BOUGOUFFA ◽  
X. C. CAO
Keyword(s):  
Transition Matrix ◽  
Coupled Channels

Effects of Observer Variation on Performance in Probabilistic Diagnosis of Jaundice

1981 ◽  
Vol 20 (03) ◽  
pp. 163-168 ◽  
Author(s):  
G. Llndberg
Keyword(s):  
Physical Examination ◽  
System Performance ◽  
Transition Matrix ◽  
Bayes Theorem ◽  
Observer Variation ◽  
Kappa Statistics ◽  
Diagnostic Categories ◽  
Number Of Patients ◽  
Probability Transition Matrix ◽  
Probabilistic Diagnosis

A system for probabilistic diagnosis of jaundice has been used for studying the effects of taking into account the unreliability of diagnostic data caused by observer variation. Fourteen features from history and physical examination were studied. Bayes’ theorem was used for calculating the probabilities of a patient’s belonging to each of four diagnostic categories.The construction sample consisted of 61 patients. An equal number of patients were tested in the evaluation sample. Observer variation on the fourteen features had been assessed in two previous studies. The use of kappa-statistics for measuring observer variation allowed the construction of a probability transition matrix for each feature. Diagnostic probabilities could then be calculated with and without the inclusion of weights for observer variation. Tests of system performance revealed that discriminatory power remained unchanged. However, the predictions rendered by the variation-weighted system were diffident. It is concluded that taking observer variation into account may weaken the sharpness of probabilistic diagnosis but it may also help to explain the value of probabilistic diagnosis in future applications.

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