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1

Korolev, A., and P. R. Field. "Assessment of the performance of the inter-arrival time algorithm to identify ice shattering artifacts in cloud particle probe measurements." Atmospheric Measurement Techniques 8, no. 2 (2015): 761–77. http://dx.doi.org/10.5194/amt-8-761-2015.

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Abstract. Shattering presents a serious obstacle to current airborne in situ methods of characterizing the microphysical properties of ice clouds. Small shattered fragments result from the impact of natural ice crystals with the forward parts of aircraft-mounted measurement probes. The presence of these shattered fragments may result in a significant overestimation of the measured concentration of small ice crystals, contaminating the measurement of the ice particle size distribution (PSD). One method of identifying shattered particles is to use an inter-arrival time algorithm. This method is based on the assumption that shattered fragments form spatial clusters that have short inter-arrival times between particles, relative to natural particles, when they pass through the sample volume of the probe. The inter-arrival time algorithm is a successful technique for the classification of shattering artifacts and natural particles. This study assesses the limitations and efficiency of the inter-arrival time algorithm. The analysis has been performed using simultaneous measurements of two-dimensional (2-D) optical array probes with the standard and antishattering "K-tips" collected during the Airborne Icing Instrumentation Experiment (AIIE). It is shown that the efficiency of the algorithm depends on ice particle size, concentration and habit. Additional numerical simulations indicate that the effectiveness of the inter-arrival time algorithm to eliminate shattering artifacts can be significantly restricted in some cases. Improvements to the inter-arrival time algorithm are discussed. It is demonstrated that blind application of the inter-arrival time algorithm cannot filter out all shattered aggregates. To mitigate against the effects of shattering, the inter-arrival time algorithm should be used together with other means, such as antishattering tips and specially designed algorithms for segregation of shattered artifacts and natural particles.
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2

Higasa, Koki, and Eri Itoh. "Controlling Aircraft Inter-Arrival Time to Reduce Arrival Traffic Delay via a Queue-Based Integer Programming Approach." Aerospace 9, no. 11 (2022): 663. http://dx.doi.org/10.3390/aerospace9110663.

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Despite the importance of controlling the inter-arrival times of flights to propose strategies for efficient arrival management by the Arrival Manager (AMAN), the specific guidelines of such adjustments and their effect on reducing delays have not been explicitly considered. Accordingly, this paper proposes a novel approach, which integrates the Gt/GI/st+GI time-varying fluid model and nonlinear integer programming to flatten the arrival rate at terminal gates. This, in turn, is achieved by minimizing the variance in inter-arrival times by penalizing any excessive change in arrival time, considering operational constraints. The results for Tokyo International Airport show potential to significantly reduce arrival traffic delays by minimizing said variance. This study may also spawn subsequent work, which builds a queuing network comprising upstream and terminal airspace and demonstrates the scope to reduce delays in the terminal airspace by controlling inter-arrival times at the upstream airspace.
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3

Bambos, Nicholas, and Jean Walrand. "An invariant distribution for the G/G/1 queueing operator." Advances in Applied Probability 22, no. 1 (1990): 254–56. http://dx.doi.org/10.2307/1427610.

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We consider the G/G/1 queue as an operator that maps inter-arrival times to inter-departure times of points, given the service times. For arbitrarily fixed statistics of service times, we are interested in the existence of distributions of inter-arrival times that induce identical distributions on the inter-departure times. In this note we prove, by construction, the existence of one of such distribution.
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4

Bambos, Nicholas, and Jean Walrand. "An invariant distribution for the G/G/1 queueing operator." Advances in Applied Probability 22, no. 01 (1990): 254–56. http://dx.doi.org/10.1017/s0001867800019467.

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We consider the G/G/1 queue as an operator that maps inter-arrival times to inter-departure times of points, given the service times. For arbitrarily fixed statistics of service times, we are interested in the existence of distributions of inter-arrival times that induce identical distributions on the inter-departure times. In this note we prove, by construction, the existence of one of such distribution.
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5

Vanni, Fabio, and David Lambert. "Aging Renewal Point Processes and Exchangeability of Event Times." Mathematics 12, no. 10 (2024): 1529. http://dx.doi.org/10.3390/math12101529.

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In this paper, we investigate the impact of latency aging on exchangeable (invariant under permutation of indices) inter-arrival times arising from mixed renewal point processes (statistical mixtures of point processes with renewal inter-arrival times) and explore the implications for reliability and survival analysis. We prove that aging preserves the exchangeability of inter-arrival times. Our data analysis, which includes both surrogate data and a Bayesian approach to high-frequency currency exchange-rate data, shows how aging impacts key survival analysis metrics such as failure survival, renewal, and hazard rate functions.
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6

Du, Peng Cheng, Wen Yuan Wang, Guo Lei Tang, and Zi Jian Guo. "Study on the Ship Arrival Pattern of Container Terminals." Applied Mechanics and Materials 409-410 (September 2013): 1197–203. http://dx.doi.org/10.4028/www.scientific.net/amm.409-410.1197.

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Container ship arrival pattern had an important effect on throughput capacity of container terminals. There is an urgent need for recognition of the ship arrival pattern of modern container terminal, owing to the change of the composition of both operating routes and arrival ships, which was brought up by the rapid development of Chinas coastal ports container service. This paper statistically analyzes the ship arrival data collected from some domestic container terminals from the view of the number of daily arrival vessels and the inter-arrival time between two ships by using Chi-Square Test. The results prove that the ship arrival pattern of container terminals vary with the constitute of container liner routes, and the number of daily arrival vessels follows either Poisson or normal distribution, and the inter-arrival time follows both negative-exponential and gamma distribution.
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7

Georgiou, Nicos, and Enrico Scalas. "Bounds for mixing times for finite semi-Markov processes with heavy-tail jump distribution." Fractional Calculus and Applied Analysis 25, no. 1 (2022): 229–43. http://dx.doi.org/10.1007/s13540-021-00010-2.

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AbstractConsider a Markov chain with finite state space and suppose you wish to change time replacing the integer step index n with a random counting process N(t). What happens to the mixing time of the Markov chain? We present a partial reply in a particular case of interest in which N(t) is a counting renewal process with power-law distributed inter-arrival times of index $$\beta $$ β . We then focus on $$\beta \in (0,1)$$ β ∈ ( 0 , 1 ) , leading to infinite expectation for inter-arrival times and further study the situation in which inter-arrival times follow the Mittag-Leffler distribution of order $$\beta $$ β .
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8

Khalid, Ruzelan, and Gerrit Janssens. "On variants of state-dependent queueing systems for egress modelling." International Journal on Information Technologies and Security 16, no. 4 (2024): 37–48. https://doi.org/10.59035/dzsl1312.

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An M/G/c/c state dependent network is a quantitative model for replicating and analyzing the behavior of occupants travelling through a network. The model, however, assumes that its inter-arrival times are independent and exponentially distributed, which inadequately reflects the dynamic and high-stakes nature in emergency situations. This paper simulates the M/G/c/c model for emergency evacuations using Erlang-k distributions—representing the real-world arrival patterns of evacuees in a more controlled and less random arrivals—and correlated inter-arrival times—common during evacuations as occupants moving in clusters due to panic or structural flow patterns. To achieve this, an M/G/c/c simulation model was first developed using Arena simulation software. The model was used to analyze the impact of various arrival rates on system performance metrics. Consequently, the performance metrics were compared with those obtained by replacing exponential inter-arrival times with Erlang-k distributions and independent arrivals with correlated cluster arrivals. The results show that Erlang-k distributions lead to better performance and smoother flow since the arrival is more controlled, while correlated arrivals increase congestion.
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9

HONG, DUG HUN. "RENEWAL PROCESS FOR FUZZY VARIABLES." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 15, no. 04 (2007): 493–501. http://dx.doi.org/10.1142/s0218488507004819.

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Recently, Zhao and Liu [IJUFKS 11 (2003) 573–586] proposed a "fuzzy elementary renewal theorem" and "fuzzy renewal rewards theorem" for a renewal process in which the inter-arrival times and rewards are characterized as continuous fuzzy variables. The continuity assumption is restrictive. In this note, we prove the same results without the assumption of continuity of the inter-arrival times and rewards.
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10

Stoynov, P., P. Zlateva, and D. Velev. "An Approach for Modeling Inter-arrival Time of Floods." International Journal of Innovation, Management and Technology 6, no. 4 (2015): 267–71. http://dx.doi.org/10.7763/ijimt.2015.v6.613.

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11

Wang, Xiaoli, Gang Shi, and Yuhong Sheng. "Delayed Renewal Process with Uncertain Random Inter-Arrival Times." Symmetry 13, no. 10 (2021): 1943. http://dx.doi.org/10.3390/sym13101943.

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An uncertain random variable is a tool used to research indeterminacy quantities involving randomness and uncertainty. The concepts of an ’uncertain random process’ and an ’uncertain random renewal process’ have been proposed in order to model the evolution of an uncertain random phenomena. This paper designs a new uncertain random process, called the uncertain random delayed renewal process. It is a special type of uncertain random renewal process, in which the first arrival interval is different from the subsequent arrival interval. We discuss the chance distribution of the uncertain random delayed renewal process. Furthermore, an uncertain random delay renewal theorem is derived, and the chance distribution limit of long-term expected renewal rate of the uncertain random delay renewal system is proved. Then its average uncertain random delay renewal rate is obtained, and it is proved that it is convergent in the chance distribution. Finally, we provide several examples to illustrate the consistency with the existing conclusions.
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12

Nasr, Walid W., Ali Charanek, and Bacel Maddah. "MAP fitting by count and inter-arrival moment matching." Stochastic Models 34, no. 3 (2018): 292–321. http://dx.doi.org/10.1080/15326349.2018.1474478.

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13

Biswas, Suddhendu, and Vijay Kumar Sehgal. "On the correlation between inter-arrival delays of shocks." Microelectronics Reliability 28, no. 2 (1988): 189–92. http://dx.doi.org/10.1016/0026-2714(88)90349-6.

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14

Aweya, James, Delfin Y. Montuno, Michel Ouellette, and Kent Felske. "Clock recovery based on packet inter-arrival time averaging." Computer Communications 29, no. 10 (2006): 1696–709. http://dx.doi.org/10.1016/j.comcom.2005.10.019.

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15

Agnese, C., G. Baiamonte, C. Cammalleri, D. Cat Berro, S. Ferraris, and L. Mercalli. "Statistical analysis of inter-arrival times of rainfall events for Italian Sub-Alpine and Mediterranean areas." Advances in Science and Research 8, no. 1 (2012): 171–77. http://dx.doi.org/10.5194/asr-8-171-2012.

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Abstract. In this work a set of time-series of inter-arrival times of rainfall events, at daily scale, was analysed, with the aim to verify the issue of increasing duration of dry periods. The set consists of 12 time-series recorded at rain gauges in 1926–2005, six of them belong to an Italian Sub-Alpine area (Piedmont) and six to a Mediterranean one (Sicily). In order to overcome the problem related to limited sample size for high values of inter-arrival times, the discrete probability polylog-series distribution was used to fit the empirical data from partial (20 yr) time-series. Moreover, a simple qualitative trend analysis was applied to some high quantiles of inter-arrival times as well as to the average extent of rain clusters. The preliminary analysis seems to confirm the issue of increasing duration of dry periods for both environments, which is limited to the ''cold'' season.
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16

Al-Eidi, Shorouq, Omar Darwish, and Yuanzhu Chen. "Covert Timing Channel Analysis Either as Cyber Attacks or Confidential Applications." Sensors 20, no. 8 (2020): 2417. http://dx.doi.org/10.3390/s20082417.

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Covert timing channels are an important alternative for transmitting information in the world of the Internet of Things (IoT). In covert timing channels data are encoded in inter-arrival times between consecutive packets based on modifying the transmission time of legitimate traffic. Typically, the modification of time takes place by delaying the transmitted packets on the sender side. A key aspect in covert timing channels is to find the threshold of packet delay that can accurately distinguish covert traffic from legitimate traffic. Based on that we can assess the level of dangerous of security threats or the quality of transferred sensitive information secretly. In this paper, we study the inter-arrival time behavior of covert timing channels in two different network configurations based on statistical metrics, in addition we investigate the packet delaying threshold value. Our experiments show that the threshold is approximately equal to or greater than double the mean of legitimate inter-arrival times. In this case covert timing channels become detectable as strong anomalies.
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17

Lovas, Attila, and Miklós Rásonyi. "Ergodic theorems for queuing systems with dependent inter-arrival times." Operations Research Letters 49, no. 5 (2021): 682–87. http://dx.doi.org/10.1016/j.orl.2021.07.006.

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18

Wang, Ting, and Chor Ping Low. "Evaluating inter-arrival time in general random waypoint mobility model." Ad Hoc Networks 11, no. 1 (2013): 124–37. http://dx.doi.org/10.1016/j.adhoc.2012.04.011.

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19

Kamatchi, P., K. Balaji Rao, Nagesh R. Iyer, and S. Arunachalam. "Neural network-based methodology for inter-arrival times of earthquakes." Natural Hazards 64, no. 2 (2012): 1291–303. http://dx.doi.org/10.1007/s11069-012-0297-z.

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20

Papaioannou, Apostolos D., and Lewis Ramsden. "Recursive Approaches for Multi-Layer Dividend Strategies in a Phase-Type Renewal Risk Model." Risks 11, no. 1 (2022): 1. http://dx.doi.org/10.3390/risks11010001.

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In this paper we consider a risk model with two independent classes of insurance risks in the presence of a multi-layer dividend strategy. We assume that both of the claim number processes are renewal processes with phase-type inter-arrival times. By analysing the Markov chains associated with the two given phase-type distributions of the inter-arrival times, algorithmic schemes for the determination of explicit expressions for the Gerber–Shiu expected discounted penalty function, as well as the expected discounted dividend payments are derived, using two different approaches.
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21

Chen, Ping-Shun, Hsiu-Wen Chen, Marielle Donice M. Abiog, Roxanne Mae B. Guerrero, and Christine Grace E. Latina. "Patient Unpunctuality’s Effect on Appointment Scheduling: A Scenario-Based Analysis." Healthcare 11, no. 2 (2023): 231. http://dx.doi.org/10.3390/healthcare11020231.

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This study examined patient unpunctuality’s effect on patient appointment scheduling in the ultrasound department of a hospital. The study created a simulation system incorporating the formulated F3 distribution to describe patient unpunctuality. After the simulation model passed verification and validation processes, what-if scenarios were conducted under two policies: The preempt policy and the wait policy. A comparison of the total cost of each policy showed that the preempt policy performed better than the wait policy in the presence of unpunctuality. The study used sensitivity analyses to identify the different effects of patient unpunctuality on the system. The weights of the cost coefficient of both radiological technician’s idle time and patient waiting time must be equal in order to achieve a lower cost. The patient’s inter-arrival time must be close to the average total time in the system to achieve lower costs. Moreover, utilization decreases as the patient’s inter-arrival increases. Therefore, the patient’s inter-arrival time should be higher than, but close to, the service time to ensure less radiological technician’s idle time and patient waiting time.
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22

Kaczmarek, Sylwester, and Maciej Sac. "Approximation of Message Inter-Arrival and Inter-Departure Time Distributions in IMS/NGN Architecture Using Phase-Type Distributions." Journal of Telecommunications and Information Technology, no. 3 (September 30, 2013): 9–18. http://dx.doi.org/10.26636/jtit.2013.3.1219.

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Currently it is assumed that requirements of the information society for delivering multimedia services will be satisfied by the Next Generation Network (NGN) architecture, which includes elements of the IP Multimedia Subsystem (IMS) solution. In order to guarantee Quality of Service (QoS), NGN has to be appropriately designed and dimensioned. Therefore, proper traffic models should be proposed and applied. This requires determination of queuing models adequate to message inter-arrival and interdeparture time distributions in the network. In the paper the above mentioned distributions in different points of a single domain of NGN are investigated, using a simulation model developed according to the latest standards and research. Relations between network parameters and obtained message inter-arrival as well as interdeparture time distributions are indicated. Moreover, possibility of approximating the above mentioned distributions using phase-type distributions is investigated, which can be helpful in identifying proper queuing models and constructing an analytical model suitable for NGN.
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23

Swetha, Pelleti. "Modeling and Predicting Cyber Hacking Breaches." International Journal for Research in Applied Science and Engineering Technology 9, no. VI (2021): 5349–55. http://dx.doi.org/10.22214/ijraset.2021.36168.

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Analyzing cyber incident information units is an essential approach for deepening our expertise in the evolution of the chance situation. This is an especially new study topic, and lots of research continue to be done. In this paper, we record a statistical evaluation of a breach incident records set similar to 12 years (2005–2017) of cyber hacking sports that encompass malware attacks. We display that, an evaluation of the findings stated withinside the literature, each hacking breach incident inter-arrival instances and breach sizes must be modeled through stochastic processes, instead of through distributions due to the fact they show off autocorrelations. Then, we recommend specific stochastic procedure fashions to, respectively, shape the inter-arrival instances and the breach sizes. We additionally display that those fashions can expect the inter-arrival instances and the breach sizes. In order to get deeper insights into the evolution of hacking breach incidents, we behaviour each qualitative and quantitative fashion analysis at the records set. We draw a fixed of cyber safety insights, together with that the chance of cyber hacks is certainly getting worse in phrases in their frequency, however now no longer in phrases of the value in their damage.
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24

Low, Yeh-Ching, and Seng-Huat Ong. "Modelling of Loan Non-Payments with Count Distributions Arising from Non-Exponential Inter-Arrival Times." Journal of Risk and Financial Management 16, no. 3 (2023): 150. http://dx.doi.org/10.3390/jrfm16030150.

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The number of non-payments is an indicator of delinquent behaviour in credit scoring, hence its estimation and prediction are of interest. The modelling of the number of non-payments, as count data, can be examined as a renewal process. In a renewal process, the number of events (such as non-payments) which has occurred up to a fixed time t is intimately connected with the inter-arrival times between the events. In the context of non-payments, the inter-arrival times correspond to the time between two subsequent non-payments. The probability mass function and the renewal function of the count distribution are often complicated, with terms involving factorial and gamma functions, and thus their computation may encounter numerical difficulties. In this paper, with the motivation of modelling the number of non-payments through a renewal process, a general method for computing the probabilities and the renewal function based on numerical Laplace transform inversion is discussed. This method is applied to some count distributions which are derived given the distributions of the inter-arrival times. Parameter estimation with maximum likelihood estimation is considered, with an application to a data set on number of non-payments from the literature.
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25

Lohr, Gary W., Rosa M. Oseguera-Lohr, Terence S. Abbott, and William R. Capron. "A Time-Based Airborne Inter-Arrival Spacing Tool: Flight Evaluation Results." Air Traffic Control Quarterly 13, no. 2 (2005): 155–78. http://dx.doi.org/10.2514/atcq.13.2.155.

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26

Machihara, Fumiaki, and Taro Tokuda. "ON THE NON-PREEMPTIVE HAVING THE COMPLETELY MONOTONE INTER-ARRIVAL TIME." Far East Journal of Mathematical Sciences (FJMS) 138 (October 15, 2022): 17–44. http://dx.doi.org/10.17654/0972087122023.

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27

Singh, V. K. "A generalised stochastic model for the most recent inter-arrival time." Communications in Statistics - Theory and Methods 26, no. 6 (1997): 1411–24. http://dx.doi.org/10.1080/03610929708831990.

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28

Verma, Satish, Sridhar K, and Ankit Kashyap. "Chi Square Method for Testing the Inter-Arrival and Service Patterns." International Journal of Mechanical Engineering 2, no. 5 (2015): 34–40. http://dx.doi.org/10.14445/23488360/ijme-v2i5p114.

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29

Mann, I., S. McLaughlin, W. Henkel, R. Kirkby, and T. Kessler. "Impulse generation with appropriate amplitude, length, inter-arrival, and spectral characteristics." IEEE Journal on Selected Areas in Communications 20, no. 5 (2002): 901–12. http://dx.doi.org/10.1109/jsac.2002.1007373.

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Sharman, Bryce W., and Matthew J. Roorda. "Multilevel modelling of commercial vehicle inter-arrival duration using GPS data." Transportation Research Part E: Logistics and Transportation Review 56 (September 2013): 94–107. http://dx.doi.org/10.1016/j.tre.2013.06.002.

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31

Adan, I. J. B. F., and V. G. Kulkarni. "Single-Server Queue with Markov-Dependent Inter-Arrival and Service Times." Queueing Systems 54, no. 1 (2006): 79. http://dx.doi.org/10.1007/s11134-006-9860-1.

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32

Adan, I. J. B. F., and V. G. Kulkarni. "Single-Server Queue with Markov-Dependent Inter-Arrival and Service Times." Queueing Systems 45, no. 2 (2003): 113–34. http://dx.doi.org/10.1023/a:1026093622185.

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33

Sahin, Onur, and Suleyman Uludag. "Leveraging inter-arrival time for efficient threat filtering: A parsimonious approach." Computers & Security 154 (July 2025): 104471. https://doi.org/10.1016/j.cose.2025.104471.

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34

Ali Abdalla, Bushra Mohammed, Mosab Hamdan, Mohammed Sultan Mohammed, Joseph Stephen Bassi, Ismahani Ismail, and Muhammad Nadzir Marsono. "Impact of Packet Inter-arrival Time Features for Online Peer-to-Peer (P2P) Classification." International Journal of Electrical and Computer Engineering (IJECE) 8, no. 4 (2018): 2521. http://dx.doi.org/10.11591/ijece.v8i4.pp2521-2530.

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Identification of bandwidth-heavy Internet traffic is important for network administrators to throttle high-bandwidth application traffic. Flow features based classification have been previously proposed as promising method to identify Internet traffic based on packet statistical features. The selection of statistical features plays an important role for accurate and timely classification. In this work, we investigate the impact of packet inter-arrival time feature for online P2P classification in terms of accuracy, Kappa statistic and time. Simulations were conducted using available traces from University of Brescia, University of Aalborg and University of Cambridge. Experimental results show that the inclusion of inter-arrival time (IAT) as an online feature increases simulation time and decreases classification accuracy and Kappa statistic.
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Bushra, Mohammed Ali Abdalla, Hamdan Mosab, Sultan Mohammed Mohammed, Stephen Bassi Joseph, Ismail Ismahani, and Nadzir Marsono Muhammad. "Impact of Packet Inter-arrival Time Features for Online Peer-to-Peer (P2P) Classification." International Journal of Electrical and Computer Engineering (IJECE) 8, no. 4 (2018): 2521–30. https://doi.org/10.11591/ijece.v8i4.pp2521-2530.

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Identification of bandwidth-heavy Internet traffic is important for network administrators to throttle high-bandwidth application traffic. Flow features based classification have been previously proposed as promising method to identify Internet traffic based on packet statistical features. The selection of statistical features plays an important role for accurate and timely classification. In this work, we investigate the impact of packet inter-arrival time feature for online P2P classification in terms of accuracy, Kappa statistic and time. Simulations were conducted using available traces from University of Brescia, University of Aalborg and University of Cambridge. Experimental results show that the inclusion of inter-arrival time (IAT) as an online feature increases simulation time and decreases classification accuracy and Kappa statistic.
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36

Qiao, Rui Jun, Xiao Ning Zhu, and Wei Yan. "Optimized Utilization of Station Arrival and Departure Tracks for Passenger Dedicated Lines." Advanced Materials Research 468-471 (February 2012): 2450–54. http://dx.doi.org/10.4028/www.scientific.net/amr.468-471.2450.

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For running trains according to timetable, it is very important to arrange appropriate arrival and departure tracks to trains transacted by passenger dedicated line station. Builds optimized model of arrival and departure track utilization, the optimization objective is maximizing the sum of weights of trains using tracks, and having the most balanced utilization schedule. For constraints, it is different from existing railway station that the two turnaround trains share the same train-set must be arranged to the same arrival and departure track, and this paper considers the constraint seriously. Taking Beijing South Railway Station inter-city yard as an instance, use the method put forward in this paper to calculate the arrival and departure track utilization schedule. Compared with existing schedule, the result calculated makes the arrival and departure track utilization more balanced.
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Mahul, Antoine, and Alex Aussem. "Distributed Neural Networks for Quality of Service Estimation in Communication Networks." International Journal of Computational Intelligence and Applications 03, no. 03 (2003): 297–308. http://dx.doi.org/10.1142/s1469026803000999.

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We study an original scheme based on distributed feedforward neural networks, aimed at modelling several queueing systems in cascade fed with bursty traffic. For each queueing system, a neural network is trained to anticipate the average number of waiting packets, the packet loss rate and the coefficient of variation of the packet inter-departure time, given the mean rate, the peak rate and the coefficient of variation of the packet inter-arrival time. The latter serves for the calculation of the coefficient of variation of the cell inter-arrival time of the aggregated traffic which is fed as input to the next neural network along the path. The potential of this method is successfully illustrated on several single server FIFO (First In, First Out) queues and on small queueing networks made up from a combination of queues in tandem and in parallel fed by a superposition of ideal sources. Our long-term goal is the design of preventive control strategy in a multiservice communication network.
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38

Pukazhenthi., N., and S. Ramki. "Discrete- Time Queueing Model with Bulk Arrival Rule." International Journal of Engineering and Advanced Technology (IJEAT) 9, no. 3 (2020): 2585–89. https://doi.org/10.35940/ijeat.C5592.029320.

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A discrete time queueing model is considered to estimate of the number of customers in the system. The arrivals, which are in groups of size X, inter-arrivals times and service times are distributed independent. The inter-arrivals fallows geometric distribution with parameter p and service times follows general distribution with parameter µ, we have derive the various transient state solution along with their moments and numerical illustrations in this paper.
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39

Goold, Conor, and Ruth C. Newberry. "Modelling personality, plasticity and predictability in shelter dogs." Royal Society Open Science 4, no. 9 (2017): 170618. http://dx.doi.org/10.1098/rsos.170618.

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Behavioural assessments of shelter dogs (Canis lupus familiaris) typically comprise standardized test batteries conducted at one time point, but test batteries have shown inconsistent predictive validity. Longitudinal behavioural assessments offer an alternative. We modelled longitudinal observational data on shelter dog behaviour using the framework of behavioural reaction norms, partitioning variance into personality (i.e. inter-individual differences in behaviour), plasticity (i.e. inter-individual differences in average behaviour) and predictability (i.e. individual differences in residual intra-individual variation). We analysed data on interactions of 3263 dogs (n = 19 281) with unfamiliar people during their first month after arrival at the shelter. Accounting for personality, plasticity (linear and quadratic trends) and predictability improved the predictive accuracy of the analyses compared to models quantifying personality and/or plasticity only. While dogs were, on average, highly sociable with unfamiliar people and sociability increased over days since arrival, group averages were unrepresentative of all dogs and predictions made at the individual level entailed considerable uncertainty. Effects of demographic variables (e.g. age) on personality, plasticity and predictability were observed. Behavioural repeatability was higher one week after arrival compared to arrival day. Our results highlight the value of longitudinal assessments on shelter dogs and identify measures that could improve the predictive validity of behavioural assessments in shelters.
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Sasikala, S., and V. Abinaya. "The M/M/c/N Interdependent Inter Arrival Queueing Model with Controllable Arrival Rates, Reverse Balking and Impatient Customers." Arya Bhatta Journal of Mathematics and Informatics 15, no. 1 (2023): 1–10. http://dx.doi.org/10.5958/2394-9309.2023.00001.x.

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41

Zhang, Mian. "GeoX/G/1/N Queue with Vacation and Limited Service Discipline." Advanced Materials Research 756-759 (September 2013): 2470–74. http://dx.doi.org/10.4028/www.scientific.net/amr.756-759.2470.

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We consider a finite butter single server queue with batch arrival, where server serves a limited number of customer before going for vacation (s).The inter arrival times of batches are assumed to be independent and geometrically distribute. The service times and the vacation times of the server are generally distributed and their durations are integral multiples of slots duration. We obtain queue length distributions at service completion, vacation termination and arbitrary epochs.
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42

Manns, M., and HA ElMaraghy. "Inter-arrival time patterns in manufacturing systems with main and side loops." International Journal of Production Research 47, no. 10 (2009): 2721–44. http://dx.doi.org/10.1080/00207540701691640.

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43

Ranjkesh, Somayeh Hamed, Ali Zeinal Hamadani, and Safieh Mahmoodi. "A new cumulative shock model with damage and inter-arrival time dependency." Reliability Engineering & System Safety 192 (December 2019): 106047. http://dx.doi.org/10.1016/j.ress.2018.01.006.

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Hair, Thomas W. "Temporal dispersion of the emergence of intelligence: an inter-arrival time analysis." International Journal of Astrobiology 10, no. 2 (2011): 131–35. http://dx.doi.org/10.1017/s1473550411000024.

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AbstractMany reasons for why extraterrestrial intelligences might avoid communications with our civilization have been proposed. One possible scenario is that all civilizations follow the lead of some particularly distinguished civilization. This paper will examine the impact the first successful civilization could have on all other subsequent civilizations within its sphere of influence and the ramifications of this as it relates to the Fermi Paradox. Monte Carlo simulation is used to map the inter-arrival times of early civilizations and to highlight the immense epochs of time that the earliest civilizations could have had the Galaxy to themselves.
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45

HONG, D. "Renewal process with T-related fuzzy inter-arrival times and fuzzy rewards." Information Sciences 176, no. 16 (2006): 2386–95. http://dx.doi.org/10.1016/j.ins.2005.06.008.

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46

Nadarajah, Saralees, and Stephen Chan. "Discrete distributions based on inter arrival times with application to football data." Communications in Statistics - Theory and Methods 47, no. 1 (2017): 147–65. http://dx.doi.org/10.1080/03610926.2017.1300284.

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Cowpertwait, Paul S. P. "A renewal cluster model for the inter-arrival times of rainfall events." International Journal of Climatology 21, no. 1 (2001): 49–61. http://dx.doi.org/10.1002/joc.598.

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48

FURUYA, Takuto, and Makoto OKUMURA. "INTER-CITY SMALL-LOT LOGISTICS NETWORK MODEL CONSIDERING DEPARTURE AND ARRIVAL TIMES." Journal of Japan Society of Civil Engineers, Ser. D3 (Infrastructure Planning and Management) 78, no. 5 (2023): I_597—I_604. http://dx.doi.org/10.2208/jscejipm.78.5_i_597.

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49

Chen, Jie, Jing Lu, and Shi Long Qi. "Generating Scenarios for Simulation Modeling of Container Ship Arrivals." Applied Mechanics and Materials 97-98 (September 2011): 591–95. http://dx.doi.org/10.4028/www.scientific.net/amm.97-98.591.

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To provide effective strategies for the increasing traffic and future terminal development, in investigating ways in which terminals can improve the capacity and efficiency, this paper outlines a generic simulation model in scenario of experiments for a given terminal on the software of Witness, which can be adapted by some specific terminal. The aim of this model is to measure the terminal capacity and service quality in scenarios of changed inter arrival times and different arrival schedules. It is a tool for measuring and improving the efficiency of terminal with given ship arrival scenarios, which can provide a useful guide for terminal decision-makers and operators.
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Li, Shuanming, and José Garrido. "Ruin Probabilities for Two Classes of Risk Processes." ASTIN Bulletin 35, no. 01 (2005): 61–77. http://dx.doi.org/10.2143/ast.35.1.583166.

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We consider a risk model with two independent classes of insurance risks. We assume that the two independent claim counting processes are, respectively, Poisson and Sparre Andersen processes with generalized Erlang(2) claim inter-arrival times. The Laplace transform of the non-ruin probability is derived from a system of integro-differential equations. Explicit results can be obtained when the initial reserve is zero and the claim severity distributions of both classes belong to the Kn family of distributions. A relation between the ruin probability and the distribution of the supremum before ruin is identified. Finally, the Laplace transform of the non-ruin probability of a perturbed Sparre Andersen risk model with generalized Erlang(2) claim inter-arrival times is derived when the compound Poisson process converges weakly to a Wiener process.
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