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This study aimed to examine the reliability and validity of a head-marking version of the taekwondo anaerobic intermittent kick test (TAIKT-head). Twenty-seven (21 males and 6 females) taekwondo athletes performed TAIKT-head on two occasions (test-retest). In addition, they performed the chest-marking version of the TAIKT (TAIKT-chest), 30-s continuous jump (CJ30s), countermovement jump (CMJ) and flexibility tests. To establish TAIKT-head's construct validity (discriminatory capability), two subgroups were identified based on their international and national taekwondo results: 15 elite (12 males and 3 females) and 12 sub-elite (9 males and 3 females) athletes. TAIKT-head showed high relative (ICCs ≥ 0.90) and absolute (SEMsSWCs) reliability. The comparison between TAIKT-head and TAIKT-chest revealed that absolute and relative peak and mean powers were higher (p0.001) in TAIKT-head than in TAIKT-chest. In contrast, the fatigue index and rating of perceived exertion were lower in TAIKT-head than in TAIKT-chest (p0.001 and p0.01, respectively), with no significant difference between the two tests regarding physiological variables. Significant correlations between TAIKT-head and TAIKT-chest (r ranged from 0.74 to 0.53), CJ30s (r ranged from 0.84 to 0.43), and CMJ (r ranged from 0.88 to 0.79) were mostly "very large". There was no association between TAIKT-head and flexibility tests. Elite athletes showed greater TAIKT-head performances than sub-elite counterparts. Receiving operating characteristic analysis indicated that the TAIKT-head effectively discriminated between elite and sub-elite athletes. In conclusion, the TAIKT-head is a reliable and valid test to evaluate the specific intermittent anaerobic power of taekwondo athletes through the most used kicking technique at the head level.

The problems of structural optimization of networks are considered in order to obtain the most reliable topologies under the conditions of random failure of their elements. As a reliability criterion, several indicators are given; nodes of the network are subject to failures. To accelerate the search for optimal solutions, we use the approach with cumulative refinement of the boundaries of network reliability which allows eliminating unreliable variants at earlier steps. It is proposed, at the intermediate stages of optimization within this approach, to provide the reliability estimate with the use of the trend for a priori reliable variants. The results of numerical experiments are given.

Annotation. Gauze remains the main dressing. It is used to make swabs for drying wounds and dissecting tissues. The purpose of the work is to establish the optimal density of the swab for drainage of the wound and preparation of tissues. Swabs made of 10x12 cm gauze fragments were investigated. The gauze fragments were weighed before and after immersion in water and the absorption capacity per unit dry weight was calculated. The dissecting properties of the swabs were investigated on plasticine blocks, the surface of which was pressed with a force of 12 N. The formed depressions were filled with gypsum. The volume and weight of the casts were determined. To determine the reliability of the difference between the two mean values used the reliability criterion t (Student’s test). It was found that loose swabs absorbed 913.5±43.9% of water, medium density – 766.3±55.2%, dense – 682.9±70.1 (p˂0.05). This is due to the fact that loose swabs have the largest in radius and length of the capillaries. When studying the recesses formed by embossing the swab on the surface of the block, it was found that when using loose swabs formed a deep conical recess, which indicated the risk of injury. When embossed with dry swabs of medium density received molds weighing 0.034±0.0000011 g, wet – 0.033±0.0000011 g (p>0.05). When using dense swabs – 0.037±0.0000011 g and 0.034±0.0000011 g, respectively (p˂0.05). Dense swabs showed the best dissecting properties. When wet, they are slightly but significantly reduced. Medium density swabs have slightly worse dissecting properties. When wet, they did not change significantly. We attribute the decrease in dissecting properties to the displacement of water from the gauze when pressed. Thus, loose swabs (∆M=913.5%±43.9%) absorb fluid best, which determines their predominant use for wound drying. Dense swabs are characterized by the lowest absorption capacity (682.9±70.1%), the best dissecting properties.

The article presents a model for establishing the optimal speed of movement on highways, taking into account the determination of the braking distance in winter slippery conditions. According to the research results, it was established that the main criterion for the formation of road accidents on highways in winter slippery conditions is the drivers' underestimation of the adhesion qualities of road surfaces. The main criterion of the model under consideration is the interaction of the car wheel (braking distance) with the road (adhesion coefficient) and is a complex that characterizes the stability of the car rolling over on slippery surfaces and the driver's actions in making an effective decision and the duration of the reaction time. In the proposed mathematical model, the accident rate on a slippery road is estimated by the coefficient of adhesion of icy road surfaces, the value of the load or the average wheel pressure. Also, the frequency of load application, the amount of deflection of the coating (at an air temperature above +20 ° C), rolling resistance, the coefficient of adhesion of the car wheel to the coating. One of the main characteristics of the model is a subsystem - the average pressure p = Q / S (S is the area of the imprint of the wheel, cm²), etc. Thus, in the process of analyzing the results of the causes of road traffic accidents, the factors of the driver's reliability and the decisions made will be taken into account, which depend on the speed of vehicles in any condition of the road surface.

A model of a system with dual (active and standby) redundancy of the components in different subsystems, which significantly enhances its reliability, is considered. The basic formulas have been obtained for the calculation of the reliability function of the system depending on the multiplicity of the active and standby redundancy in the subsystems. The problem of constructing the lower confidence bound for the reliability criterion, which is the probability of the failure-free operation of the system for a preset time, has been considered. Approximate asymptotic expressions, for the case of high reliability, have been obtained for the reliability function of the system and its lower confidence bound.

Цель исследований: подобрать исходный материал для селекции экологически пластичных урожайных сортов мягкой яровой пшеницы, способных формировать зерно с высокими технологическими показателями, в условиях Красноярской лесостепи. Полевые опыты по изучению исходного материала 33 образцов мягкой яровой пшеницы сибирской селекции проведены в 2017–2019 гг. в ОПХ «Минино» Красноярского НИИСХ. Определение технологических показателей зерна осуществлено группой технологической оценки селекционного материала Красноярского НИИСХ. Из разбираемых показателей качества зерна наиболее стабильными являлись натура зерна, качество клейковины по ИДК-1. Высокая изменчивость была характерна для силы муки. От слабой до средней степени сортовое варьирование отмечено по количеству сырой клейковины, содержанию белка в зерне, стекловидности. Обработка полученных данных по методике Д.А. Сапрыгина позволила провести комплексный анализ с учетом урожайности массы 1000 зерен, содержания белка и клейковины, устойчивости к полеганию, продолжительности вегетационного периода и объективно выделить образцы пшеницы по критерию запасаемой энергии в урожае зерна и критерию их надежности. Образцы, запасающие энергию в пределах 88–95 кДж, имеют возможность занимать значительные площади посева и служить для селекционера хорошим исходным материалом для гибридизации: Красноярская 12, Алтайская 70, К-518-4, Курагинская 2, К-534-2, Новосибирская 18, Новосибирская 29, Предгорная, Омская Краса, К-527-2, Сибирский Альянс. Максимальные баллы (164–191) в разных условиях вегетации по критерию надежности имели образцы: среднеспелые – Красноярская 12, К-518-4, К-534-2, Новосибирская 18, Омская Краса, Сибирский Альянс; среднеранние – Алтайская 70, Новосибирская 29, Омская 32, Тулунская 12.

An approach for optimizing mathematical modeling of functional-consumer processes in special purpose polymer materials is considered. The presented optimization is carried out on the basis of the integral forecasting reliability criterion for relaxation-recovery processes.

A procedure to calculate the surface tension is developed based on a modified lattice gas model (MLGM) for the vapor–liquid system in a strict correspondence to the thermodynamic Gibbs definition for any curvature of the boundary. It is shown that MLGM enables a calculation of molecular distributions in a layered model of the transition region of the interface with regard to the softness of a lattice structure. The state of coexisting phases must satisfy the Yang–Lee theory of condensation, and additional conditions for chemical, thermal, and mechanical equilibria are imposed on the properties of the transition region of an equilibrium droplet with any curvature in each layer. The new calculation procedure for the surface tension is compared with the existing calculation procedures for equilibrium and metastable droplets. A difference in size dependences of the surface tension σ(R) for equilibrium and metastable droplets with a radius R in vicinity of the line σ/σbulk = 1, where σbulk is the bulk surface tension, allows us to formulate the accuracy and reliability criterion for different modeling methods: if the mentioned line exceeds the calculation accuracy σ(R), then it indicates that the method does not correspond to the Gibbs definition.

The problem of eliminating winter slips on paved roads is a topical issue today. The paper analyzes the results of tests using traditional (chloride) and non-traditional chemical reagents and their influence on the strength properties of cement concrete. In general, the formation of slipperiness on the surface of cement concrete pavements does not differ from asphalt concrete, because cement concrete can have a high moisture capacity. The pores of cement concrete readily allow moisture to penetrate, and with decreasing air temperature significant ice formation can occur in the pavement. This kind of slipperiness is very dangerous. In appearance they look like a dry coating, in fact, they penetrate deeply into the body of the coatings. Not every chemical reagent can act positively to reduce moisture. And also this process in climatic zones with a sharply continental climate especially exacerbates the likelihood of peeling of cement stone, followed by crumbling of concrete (peeling) and loss of strength due to the low stability of this material

This paper presents a novel performance criterion applied to robotic manipulators based on kinematic reliability. The kinetostatic performance criteria have been used to quantify the effect of errors in the manipulators. Nevertheless, design criteria based on the kinematic errors produced by joint clearances have not been established. This contribution proposes a novel performance index based on kinematic reliability concepts that evaluates the effect of the kinematic error produced by clearances over a required workspace. The application of the proposed global kinematic reliability criterion is evaluated for serial and parallel manipulators.

Multi-resolution feature fusion DCF (Discriminative Correlation Filter) methods have significantly advanced the object tracking performance. However, careless choice and fusion of sample features make the algorithm susceptible to interference, leading to tracking failure. Some trackers embed the re-detection module to remedy tracking failures, yet distinguishing ability and stability of the sample features are scarcely considered when training the detector, resulting in low effectiveness detection. Firstly, this paper proposes a criterion of feature tracking reliability and conduct a novel feature adaptive fusion framework. The feature tracking reliability criterion is proposed to evaluate the robustness and distinguishing ability of the sample features. Secondly, a re-detection module is proposed to further avoid tracking failures and increase the accuracy of target re-detection. The re-detection module consists of multiple SVM detectors trained by different sample features. When the tracking fails, the SVM detector trained by the most reliable sample feature will be activated to recover the target and adjust the target position. Finally, comparison experiments on OTB2015 and UAV123 databases demonstrate the accuracy and robustness of the proposed method.

Objectives: This study evaluated the psychometrics of the Farsi translation of diagnostic interview for attention-deficit hyperactivity disorder (ADHD) in adults (DIVA-5) based on DSM-5 criteria. Methods: Referrals to a psychiatric outpatient clinic ( N = 120, 61.7% males, mean age 34.35 ± 9.84 years) presenting for an adult ADHD (AADHD) diagnosis, were evaluated using the structured clinical interviews for DSM-5 (SCID-5 & SCID-5-PD) and the DIVA-5. The participants completed Conner’s Adult ADHD Rating Scale-Self Report-Screening Version (CAARS-S-SV). Results: According to the SCID-5 and DIVA-5 diagnoses, 55% and 38% of the participants had ADHD, respectively. Diagnostic agreement was 81.66% between DIVA-5/SCID-5 diagnoses, 80% between SCID-5/CAARS-S-SV, and 71.66% between DIVA-5/CAARS-S-SV. Test–retest and inter-rater reliability results for the DIVA-5 were good to excellent. Conclusion: Findings support the validity and reliability of the Farsi translation of DIVA-5 among the Farsi-speaking adult outpatient population.

Fault diagnosis usually requires lots of data that are collected through sensors mounted on some locations in the system. Performance of a diagnostic system is largely dependent upon the number and locations of sensors. Accordingly, optimization of sensor placement has a significant influence on the efficiency of fault diagnosis. In this paper, a novel sensor placement based on a system reliability criterion is proposed, which aims to deal with the failure dependence and epistemic uncertainty. Specifically, it develops a dynamic fault tree (DFT) model to describe the dynamic failure behaviors based on failure mode and effects analysis and uses the interval numbers to express the failure rates of components. Furthermore, an indicator of sensor placement, named diagnostic importance factor (DIF), is calculated by mapping a DFT into a dynamic evidential network, and a sorting method based on the relative superiority degree is used to determine the potential locations according to DIF of components. In addition, the failure probability of the top event is considered as the criterion for sensor placement optimization and all scenarios of sensor placement are prioritized based on the criterion. Finally, the effectiveness of the proposed method is demonstrated via application to a real braking system.

The incidence of feeding/swallowing impairments (deglutition disorders) in young children is rising and poses serious acute and long-term health consequences. Accurate detection and prompt intervention can lessen the impact of dysphagia-induced sequelae. Videofluoroscopic Swallow Studies (VFSSs) are used to make critical decisions for medically fragile children despite procedural variability and the lack of agreed upon measures for interpreting and reporting results. This investigation represents the first steps in the development of a novel tool for the quantification of oropharyngeal swallow physiology from full-length VFSS examinations in bottle-fed children. The Modified Barium Swallow Impairment Profile MBSImP™© served as the conceptual assessment model for development of components and operational score variants to characterize distinguishable VFSS observations. Twenty-four components of swallowing physiology were validated via expert consensus. Training materials included a library of 94 digitized video images comprised of distinct score variants for each component. Materials were disseminated to seven speech-language pathologists (SLPs) who participated in didactic and self-training sessions, and rated components. All SLPs achieved ≥80% reliability criterion after completing two or three training sessions. Agreement for 17 (71%) components was achieved after two sessions. Nutritive sucking/oral and airway-related components were most difficult to distinguish. Three sessions were required for 2 (33%) of the sucking/oral components and 4 (57%) of the airway-related components. These findings support the feasibility to standardize training and reliably score swallowing physiology using precise definitions and unambiguous visual images, and represent preliminary steps towards content validity and reliability of a standardized VFSS tool for bottle-fed children.

BACKGROUND Pediatric participants on phase 1 or phase 2 clinical trials for incurable cancer are at risk of experiencing toxicities (adverse events [AEs]) related to trial participation. Multiple AEs are subjective; thus, the real impact of trial treatment cannot be known unless patient subjective reports are solicited. METHODS The authors assessed the feasibility and acceptability of soliciting symptom, function, and quality of life (QOL) reports from participants aged 8 to 18 years who were enrolled on phase 1/2 clinical trials at 4 cancer centers during the first course of chemotherapy. The authors also assessed the reliability and validity of 6 self-report Patient-Reported Outcomes Measurement Information System (PROMIS) pediatric measures and 4 open-ended interview questions at 2 time points (at the time of trial enrollment [T1] and 3 to 4 weeks later [T2]). RESULTS The enrollment rate of 75.9% (20 participants) exceeded the feasibility criterion, and missingness of measures by person, measure, and items at T1 and T2 were lower than the acceptability criteria. New QOL themes were limited to the impact of treatment on families and being away from home, family, and friends for treatment. All but one measure at T1 met the reliability criterion and all measures did so at T2. Validity support was limited however because as theorized, mobility decreased and fatigue increased as AEs increased. CONCLUSIONS Soliciting and documenting symptom, function, and QOL reports from patients aged 8 to 18 years who are enrolled on a phase 1/2 clinical trial is feasible and acceptable to participants, particularly when embedded in trials. Reliable and valid findings can result, making patient self-reported outcomes a possible new trial endpoint. Cancer 2017. © 2017 American Cancer Society.

The $N-1-1$ contingency consists of the consecutive loss of two components in a power system with intervening time for system adjustments between failures. This paper considers the expansion of an electric power system to achieve the $N-1-1$ reliability criterion with operation compliance check on unit commitment, economic dispatch, and power flow under contingency states. The resulting problem yields a very large-scale mixed-integer optimization model. For an efficient solution, a two-level Lagrangian Benders decomposition algorithm is adapted. The model and algorithm are evaluated on modified versions of several IEEE test systems with different contingency state combinations to confirm the proposed method's effectiveness.

Mathematical formulation of the problem of forming urban freight transportation is performed. The structure of the system information model is developed, which takes into account material, energy and information flows. Mathematical expressions for calculating the criterion for choosing rational routes ‒ route quality factor are presented. The criterion takes into account the capabilities of the logistics center (information content), cargo weight, congestion (traffic jams), transportation distance and actual delivery time. A distinguishing feature is that it is determined online and takes into account the congestion dynamics of routes during a work shift. The dynamic model of delays in decision making in the logistics chains of urban freight transportation is developed. The model allows calculating the processing time of transportation requests and transportation time itself. It is shown that the total time of freight delivery consists of the travelling time of the vehicle, taking into account route resistance and delay time in all logistic chains of the system. The mathematical model is developed for assessing the reliability of urban freight transportation, taking into account street congestion. The model operates online and allows determining the parameters of the transport process, including traffic jams on city streets. The reliability criterion of the logistics system of urban freight transportation ‒ reliability coefficient is proposed. The criterion takes into account the travelling time of the vehicle and the delay time of receipt of transportation requests at the logistics center, and the time of delays at the transport company. It is shown that in the absence of delays in logistics chains, the reliability coefficient is equal to unity, and if there is a delay, the reliability coefficient is less than unity. The physical significance of the reliability criterion is determined. It is the share of non-fulfillment of transportation requests on time.

This paper investigates the crosstalk-induced spontaneous switchings as continuous cycles of turn-on and turn-off transients as a key reliability criterion in SiC and GaN cascode power devices. The paper presents a wide range of measurements to describe the severity of unwanted switching cycles in presence of a few diodes with high turn-off dI/dt which results in a negative gate voltage induced by the source inductance. Modelling is performed which confirms the theory described to explain the root cause of the continued oscillatory transients and comparisons are made with standalone SiC power MOSFETs.

This article provides a comparative analysis of the traditional control system power part for a short-medium-range aircraft with a control system power part with local HS. Comparison is based on the criterion of reliability. As initial data, statistics on the probability of failures of the electrical system and hydraulic system and actuators. The considered architecture of the control system power part with local HS fully complies with the required standards for the control system reliability given in regulatory documents, such as AR-25 and CS-25. The considered architecture of the control system power part with local HS is commensurate with the reliability of a typical version of the control system power part architecture. The considered architecture of the control system power part with local HS fully complies with the required standards for the control system reliability given in regulatory documents, such as AR-25 and CS-25. The considered architecture of the control system power part with local HS is commensurate with the reliability of a typical version of the control system power part architecture and in some cases it is an order of magnitude superior.

The self-sufficiency of a power system is no longer a relevant issue at the electricity market, since day-to-day optimization and security of supply are realized at the regional or the internal electricity market. Research connected to security of supply, i.e., having reliable power capacities to meet demand, has been conducted by transmission system operators. Some of the common parameters of security of supply are loss of load probability (LOLP) and/or loss of load expectation (LOLE), which are calculated by a special algorithm. These parameters are specific for each power system. This work presents the way of calculating LOLP as well as the optimization algorithm of LOLP, which takes into consideration the particularities of the power system. It also presents a difference in the treatment of LOLP regarding the observed power system and the necessary installed power capacity if applied to the calculated LOLP in relation to the optimized LOLP. As a conclusion, the study analyzed the parameters impact the regional electricity market&mdash, where the participants are countries with different development levels and various particularities of power systems&mdash, i.e., what it means when the same LOLP criterion is applied to them and the optimized LOLP.

This chapter presents the planning problems of the LSIES considering the optimal unit sizing and the multi-stage contingency-constrained co-planning, respectively. First, a comprehensive framework including a multi-objective interval optimization model and evidential reasoning (ER) approach is introduced to solve the unit sizing problem of small-scale integrated energy systems, with uncertain wind and solar energies integrated. In the multi-objective interval optimization model, interval variables are introduced to tackle the uncertainties of the optimization problem. Aiming at simultaneously considering the cost and risk of a business investment, the average and deviation of life cycle cost (LCC) of the integrated energy system are formulated. Second, a multi-stage contingency-constrained co-planning for electricity-gas systems (EGS) interconnected with gas-fired units and power-to-gas (P2G) plants considering the uncertainties of load demand and wind power. The MCC model considers the long-term co-planning for EGS with the short-term operation constraints, while enabling systems to satisfy N-1 reliability criterion. These planning problems are solved utilizing the multi-objective optimization algorithms and decision-making support methods introduced in the previous chapters.

Methodology for assessing human error probability under emergency conditions, taking into account internal and external factors, the degree of uncertainty, which can influence the reliability of a "man-machine" system, is presented. A model based on the HRA (Human reliability analysis) methodology is used. Probability of a human error is determined, which combines the nominal error and the influence of environmental conditions. The error is compared to the rated (design) permissible critical value dependent on the system state. It enables steadily monitoring the technical state of the system. In case of an unsatisfactory state, correcting actions are performed and probability for a human error is again assessed as well as the extent of the system improvement is tested. The methodology uses reliability criteria taking into account the degree of human involvement into the process of controlling critical infrastructures. The methodology includes efficiency analysis and assessment of the safeguarding system with regard to the human factor. Currently, there is no special documentation setting the procedure of human behavior under emergency conditions by means of quantitative methods. The methodology can serve the purpose of developing a practical manual for people having to make decisions; it can be used in training the personnel for acting in emergency situations. It is useful for assessing the influence of human factor on operation of critical infrastructures used for various purposes. © 2019 Published under licence by IOP Publishing Ltd.

This paper considers methods for estimating the mutual time delay of broadband signals recorded by satellites based multi-position systems for determining the location of a radiation source. All methods considered are based on modified algorithms for calculating the ambiguity function. The presented algorithms are based on the extraction of narrowband channels from the studied signals and their further optimal processing. The reliability criterion for mutual time delay estimation by the presented methods was evaluated. Based on the results and analysis of computational efficiency, viability of methods considered and their modifications was determined.

In the presence of transmission outages, uncertain demand and variable renewable supply, network operators keep a reliability margin to avoid interruptions and black-outs. The reliability margin is presently determined by the N-1 reliability criterion. Our analytical model defines the optimal reliability margin by balancing congestion costs and interruption costs. This leads to more efficient use of transmission capacity and to smaller investment needs than with the N-1 criterion. A numerical illustration shows the net benefits of the new reliability criterion.

Genomic selection models can be trained using historical data and filtering genotypes based on phenotyping intensity and reliability criterion are able to increase the prediction ability. We implemented genomic selection based on a large commercial population incorporating 2325 European winter wheat lines. Our objectives were (1) to study whether modeling epistasis besides additive genetic effects results in enhancement on prediction ability of genomic selection, (2) to assess prediction ability when training population comprised historical or less-intensively phenotyped lines, and (3) to explore the prediction ability in subpopulations selected based on the reliability criterion. We found a 5 % increase in prediction ability when shifting from additive to additive plus epistatic effects models. In addition, only a marginal loss from 0.65 to 0.50 in accuracy was observed using the data collected from 1 year to predict genotypes of the following year, revealing that stable genomic selection models can be accurately calibrated to predict subsequent breeding stages. Moreover, prediction ability was maximized when the genotypes evaluated in a single location were excluded from the training set but subsequently decreased again when the phenotyping intensity was increased above two locations, suggesting that the update of the training population should be performed considering all the selected genotypes but excluding those evaluated in a single location. The genomic prediction ability was substantially higher in subpopulations selected based on the reliability criterion, indicating that phenotypic selection for highly reliable individuals could be directly replaced by applying genomic selection to them. We empirically conclude that there is a high potential to assist commercial wheat breeding programs employing genomic selection approaches.

The sewer layout in flat areas significantly influences the final design which is desired to be optimized for the construction and operational costs. This study introduces a model for designing the layout of sewer networks considering their reliability. A reliability criterion is introduced and optimized using a simple simulated annealing scheme. The best layout with the maximum reliability represents an optimum sewer layout in which clogging in a sewer has the least effect on its upstream lines. A case study is solved using the proposed model. Then, for the obtained layout, the sewer specifications are designed using a dynamic programming model. The reliability somehow reflects the operational costs that can be taken into account in the system design by the proposed model. Furthermore, it is concluded that the network's reliability and construction cost are in conflict with each other such that more reliable layouts lead to more expensive designs.

The network-on-chip (NoC) technology allows for integration of a manycore design on a single chip for higher efficiency and scalability. Three-dimensional (3D) NoCs offer several advantages over two-dimensional (2D) NoCs. Through-silicon via (TSV) technology is one of the candidates for implementation of 3D NoCs. TSV reliability analysis is still challenging for 3D NoC designers because of their unique electrical, thermal, and physical characteristics. After providing an overview of common TSV issues, this article aims to define a reliability criterion for NoC and provide a framework for quantifying this reliability as it relates to TSV issues. TSV issues are modeled as a time-invariant failure probability. Also, a reliability criterion for TSV-based NoC is defined. The relationship between NoC reliability and TSV failure is quantified. For the first time, the reliability criterion is reduced to a tractable closed-form expression that requires a single Monte Carlo simulation. Importantly, the Monte Carlo simulation depends only on network geometry. To demonstrate our proposed method, the reliability criterion of a simple 8×8×8 NoC supported by an 8×8×7 network of TSVs is calculated.