Cost assessment of complex repairable system consisting two subsystems in series configuration using Gumbel Hougaard family copula

2019 ◽  
Vol 36 (10) ◽  
pp. 1683-1698 ◽  
Author(s):  
Abdul Kareem Lado ◽  
V.V. Singh
Keyword(s):  
Joint Probability ◽  
Industrial Sector ◽  
Joint Probability Distribution ◽  
Cost Assessment ◽  
Social Implication ◽  
Content Type ◽  
In Series ◽  
Series Configuration ◽  
Parallel Configuration ◽  
The Cost

Purpose The purpose of this paper is to covenant with the cost assessment of a complex repairable system, consisting of two subsystems (Subsystem 1 and Subsystem 2) connected in series configuration and being operated by a human operator. Each subsystem has two identical units in parallel configuration and has different types of failure and two types of repairs (general repair and copula repair). Through the transition diagram, the system of first-order partial differential equations is derived and solved using a supplementary variable technique, Laplace transforms. All failures are assumed to follow exponential distribution, whereas repairs follow two types of distributions that are general and Gumbel–Hougaard family copula. In this paper, explicit expressions for reliability, availability, mean time to failure (MTTF) and cost analysis functions have been obtained. In this paper, two types of repairs (copula repair and general repair) have been studied, and it has been concluded that copula repair is more reliable as compared to general repair. Some computations are taken as particular case by evaluating: reliability, availability, MTTF and cost analysis, so as to capture the effect of both failure and repair rates to reliability measures. The results have been shown in tables and graphs. The convincing part has been discussed in last section of this study. Design/methodology/approach This paper is focused on the cost assessment of a system consisting two subsystem series configuration. Each subsystem has two identical units in parallel configuration. The performance of the system has been analyzed by supplementary variable techniques and Laplace transforms. Various measures of the reliability have been discussed by evaluations. Software called Maple 13 is used for computations. Findings In this research paper, the authors have evaluated the operational cost and incurred profit of the system together with other reliability measures for various situations and different types of failures and two types of repairs using Gumbel–Hougaard family copula distribution. Research limitations/implications The present research focuses on the series and parallel configured complex systems that is used everywhere in industry and other sectors. The authors main aim is to claim that repair through the joint probability distribution copula is far better than general repair. Copula repair for a completely failed system is more beneficial for industrial system operations that will increase profit to the industrial sector. Practical implications The authors have observed that when repair follows general distribution the values of reliability obtained of the system are less compared to the those obtained when the authors apply copula repair, a joint probability distribution. It is a clear implication for industrial sector and organization to use the policy for a better generate revenue. Social implications According to the best of authors’ knowledge, there is no social implication as this study is meant for reliability section. The study in management and case study matters is considered to have social implication. Originality/value This research is the original work of authors. Nothing has been copied from any paper or book. The references are cited according to the relevance of study.

scholarly journals Probabilistic Assessment of Computer-Based Test (CBT) Network System Consists of Four Subsystems in Series Configuration Using Copula Linguistic Approach

2021 ◽  
Author(s):  
Vijay Vir Singh ◽  
Abdul Kareem Lado Ismail ◽  
Ibrahim Yusuf ◽  
Ameer Hassan Abdullahi
Keyword(s):  
Network System ◽  
Transition Diagram ◽  
In Series ◽  
Series Configuration ◽  
Computer Based ◽  
Parallel Configuration ◽  
Load Balancer ◽  
The Cost ◽  
The Impact ◽  
Database Servers

A complex repairable computer-based test (CBT) network system studied in this paper consists of three client computers, a load balancer, two database servers, with the centralized server structured in a series configuration. Subsystem 1 consists of three homogeneous clients arranged in parallel configuration, subsystem 2 comprises a load balancer, subsystem 3 is comprised of two distributed homogeneous database servers in parallel arrangement and subsystem 4 consists of a centralized database server. Through the transition diagram, the first-order differential equations are derived. The model has solved using supplementary variables, with implications of Laplace transforms. Reliability metrics of system effects such as availability, reliability, MTTF, MTTF sensitivity, and the cost function is estimated to see the impact of failure and repair patterns on reliability evaluations. The results of this study indicated that system performance could be improved when the copula repair is employed.

Reliability analysis of a small solar system for a home

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Ismail Muhammad Musa ◽  
Ibrahim Yusuf
Keyword(s):  
Solar System ◽  
Cost Analysis ◽  
Reliability Analysis ◽  
Time To Failure ◽  
System Configuration ◽  
Content Type ◽  
In Series ◽  
Parallel Configuration ◽  
The Stability ◽  
A Charge

PurposeThe purpose of this paper is to model and to improve the stability and long-lasting operation of the small home solar system configuration regarding the reliability, availability, sensitivity, cost analysis and mean time to failure (MTTF).Design/methodology/approachA model of a small home solar system is designed in this write up. It is designed in a series–parallel configuration, such that four panels are arranged in parallel, working under 1-out-of-4: G; policy and two batteries configured in parallel also, working under 1-out-of-2: G; policy. The panels are connected to a charge controller, then to the batteries and lastly to an inverter, all connected together in series configuration. Different types of system reliability such as reliability, sensitivity, availability, MTTF and cost analysis for particular values of the failure and repair rates have been evaluated by using a supplementary variable and Laplace transforms and demonstrated the computed results on tables and graphs. The main objective here is to improve the stability and long-lasting operation of the small solar system configuration regarding the reliability, availability, sensitivity, cost analysis and MTTF.FindingsThe future behavior of the small solar system and similar systems can be easily predicted at any given time for any parametric values, it is also better to provide repair than replacements in the system for better availability and reliability, it signifies that γp, γb, γc and γi are responsible for the better performance of the system, the variation of sensitivity together with the parametric values variations and lastly deduced that the profit will decrease whenever service cost increase.Originality/valueThis paper provides a model of small home solar system and its reliability analysis.

scholarly journals Experimental Performance Analysis of Shallow Spiral-tube Ground Heat Exchangers in Series and Parallel Configurations

2019 ◽  
Vol 130 ◽  
pp. 01017
Author(s):  
Jalaluddin ◽  
Akio Miyara ◽  
Rustan Tarakka ◽  
Muhammad Anis Ilahi Ramadhani
Keyword(s):  
Heat Exchanger ◽  
Heat Exchange ◽  
Cooling System ◽  
Actual Condition ◽  
Ground Heat Exchanger ◽  
Spiral Tube ◽  
Ground Heat Exchangers ◽  
In Series ◽  
Series Configuration ◽  
Parallel Configuration

Ground source cooling system (GSCS) uses a ground heat exchanger (GHE) for exchanging heat with the ground. A spiral-tube GHE is gaining interest in recent year. This study presents an experimental analysis of thermal performance of shallow spiral-tube ground heat exchanger (GHE) installed in the ground at 3 m depth in series and parallel configurations. These GHE configurations offer a compromise between the conventional vertical and horizontal GHEs. The spiral-tube GHE which is consist of spiral pipe installed in the borehole provides a better performance in application of GSCS. The thermal performances ofspiraltube GHE in series and parallel configurations were investigated under actual condition. Inlet and outlet temperatures of the both configurations were measured and periodically recorded. The average heat exchange rates of the GHEs are 122.4 W m –1 in parallel configuration and 86.2 W m –1in series configuration. Heat exchange rate of the spiral-tube GHEs in parallel configuration provides a better performance than that of in series configuration. The spiral-tube GHE in shallow depth can be applied in the GSCS.

Performance Analysis of Complex System in Series Configuration Under Different Failure and Repair Discipline Using Copula

2016 ◽  
Vol 23 (02) ◽  
pp. 1650010 ◽  
Author(s):  
V. V. Singh ◽  
Jyoti Gulati ◽  
D. K. Rawal ◽  
C. K. Goel
Keyword(s):  
Complex System ◽  
Time Distribution ◽  
General Distribution ◽  
Time To Failure ◽  
Failure Rates ◽  
Partial Failure ◽  
In Series ◽  
Series Configuration ◽  
Complete Failure ◽  
Parallel Configuration

This paper deal with the study of reliability of a complex system consists of three subsystems, (subsystem-1, subsystem-2 and subsystem-3) connected in series configuration. The subsystem-1 has three units and working under the policy 2-out-of-3: F policy, subsystem-2 has two units in parallel configuration and is working under 1-out-of-2: G policy and subsystem-3 is connected with subsystem-2. All three subsystems are connected in series configuration. The system has two types of failure, partial failure and completely failure. It is assumed that the partial failure bring the system to degraded state, while the complete failure stop functioning in the system. All failure rates are constant and assumed to follow exponential time distribution, but the repair follow two types of distribution, i.e., general distribution and exponential distribution. It is assumed that the system in partially failed/degraded states are repaired by employing general time distribution but the completely failed states are repaired by Gumbel–Hougaard family copula distribution. The system is analyzed by supplementary variable technique. Some crucial measures of reliability such as Availability, mean-time-to-failure (MTTF) and profit analysis have been discussed. Some computations are taken as special case by evaluating Availability, MTTF and profit by taking different failure rates.

A cost minimisation model for system reliability allocation

2019 ◽  
Vol 36 (9) ◽  
pp. 1620-1643 ◽  
Author(s):  
Omkarprasad S. Vaidya ◽  
L. Ganapathy ◽  
Sushil Kumar
Keyword(s):  
Optimization Problem ◽  
Cost Optimization ◽  
Optimal Solution ◽  
System Component ◽  
Lagrangian Multiplier ◽  
Step Size ◽  
Exponential Relationship ◽  
Content Type ◽  
In Series ◽  
The Cost

Purpose The purpose of this paper is to consider a nonlinear problem of minimizing the cost of providing reliable systems. The authors assume that the system consists of several components in series, and for each such component, the cost of the component increases exponentially with its reliability. Design/methodology/approach In order to solve this nonlinear optimization problem, the authors propose two approaches. The first approach is based on the concept of adjusting the reliability of a pair of components to minimize the cost of the system. The authors call this procedure as reliability adjustment routine (RAR). Proofs of optimality and convergence for the proposed model are also provided. The second approach solves the problem by using a Lagrangian multiplier. A procedure is developed to obtain the maximum step size to achieve the desired optimal solution in minimum iterations. Proposed approaches are efficient and give exact solutions. Findings Proposed methods enable a decision maker to allocate reliability to the components in series while minimizing the total cost of the system. The developed procedures are illustrated using a numerical example. Although an exponential relationship between the component cost and reliability is assumed, this can be extended to various other nonlinear distributions. Originality/value This cost optimization problem, subject to system component reliability values, assumes the near practical nonlinear pattern of cost vs reliability. Such problems are complex to solve. The authors provide a unique approach called RAR to solve such convoluted problems. The authors also provide an approach to solve such problems by using a Lagrangian multiplier method. Various proofs have been worked out to substantiate the work.

scholarly journals PENGUJIAN EKSPERIMENTAL DAN SIMULASI ANSYS PERFORMANSI POMPA SENTRIFUGAL RANGKAIAN SERI DAN PARALEL

2018 ◽  
Vol 20 (2) ◽  
pp. 29-35
Author(s):  
Adam Hafizar Pohan
Keyword(s):  
Centrifugal Pump ◽  
Performance Test ◽  
Pump Efficiency ◽  
Centrifugal Pumps ◽  
Pump Performance ◽  
Ansys Simulation ◽  
In Series ◽  
Series Configuration ◽  
Valve Opening ◽  
Parallel Configuration

This study was conducted to identify the performance of centrifugal pump series configuration and parallel configuration experimentally and Ansys simulation. In the previous study, the performance of centrifugal pumps was calculated by varying the valve opening. In this study researchers varied motor rotation of 1000 rpm, 1200 rpm, 1400 rpm, 1600 rpm and 1800 rpm with open valve 100%. The results show that series configuration has higher head value than parallel configuration. While the parallel configuration has a higher capacity value than the series configuration. The highest pump efficiency for this pump performance test is in series configuration of 1800 rpm is 83.4% for experimental and 85% for simulation. While the lowest pump efficiency is in parallel configuration pumps of 1800 rpm with an efficiency 14.1% for experimental and 15.5% for simulation.

Farm-level cost of adaptation and expected cost of uncertainty associated with climate change impacts in major river basins in India

2015 ◽  
Vol 7 (1) ◽  
pp. 76-96 ◽  
Author(s):  
Kuppanan Palanisami ◽  
Krishna Reddy Kakumanu ◽  
C.R. Ranganathan ◽  
Nagothu Udaya Sekhar
Keyword(s):  
Climate Change ◽  
Crop Production ◽  
Climate Adaptation ◽  
Joint Probability ◽  
System Of Rice Intensification ◽  
Farm Income ◽  
Joint Probability Distribution ◽  
Expected Cost ◽  
Content Type ◽  
Farm Level

Purpose – Researchers and policymakers are figuring out the adaptation technologies to cope with the changing climate. Adaptation strategies for crop production followed by the farmers at selected study locations had ranged from 6-30 per cent only, and this was mainly due to lack of awareness about the actual cost associated with adaptation and non-adaptation of these strategies. Design/methodology/approach – Hence, this study aims to address the cost of adaptation for rice using joint probability distribution of rainfall and crop prices. Findings – Cost of adaptation varied from INR2,389 to 4,395/ha for System of Rice Intensification (SRI); INR646 to 1,121/ha for alternate wetting and drying (AWD) and INR8,144 to 8,677/ha for well irrigation (WI), whereas expected cost for not using these technologies has ranged from INR6,976 to 9,172/ha for SRI; INR4,123 7,764/ha for AWD and INR10,825 to 17,270/ha for WI. Hence, promotion of the adaptation technologies itself will minimize the income losses to the farmers. Research limitations/implications – Even though, there are many ways for farmers (other than technology), to adapt to climate change (such as out-migration to cities, selling farm assets, focus on children’s education, etc.), this report, given the framework of the major research study undertaken, addresses only farm-level adaptation of the technologies to enhance farm income. Originality/value – Public–private partnership in providing the technologies at cheaper costs, capacity building in handling the technologies and creating awareness about the technologies to minimize the expected cost of adaptation are suggested to improve the adoption level.

Availability and cost analysis of an engineering system involving subsystems in series configuration

2017 ◽  
Vol 34 (6) ◽  
pp. 879-894 ◽  
Author(s):  
Anuj Kumar ◽  
Sangeeta Pant ◽  
S.B. Singh
Keyword(s):  
Cost Analysis ◽  
Engineering System ◽  
Time To Failure ◽  
Content Type ◽  
Availability Analysis ◽  
Adjacent Transition ◽  
In Series ◽  
Series Configuration ◽  
Novel Method ◽  
Mean Time

Purpose The purpose of this paper is to evaluate various reliability measures like availability, reliability, mean time to failure and profit function. Design/methodology/approach The authors present a novel method for availability analysis of an engineering system incorporating waiting time to repair. The considered system consists of two subsystems, namely, A and B connected in series. The subsystem B has two identical units in standby arrangement. Each unit of the subsystem has two modes, i.e. normal efficiency or failed. The two standby units of the subsystem B are connected by an imperfect switching. The system is analyzed by supplementary variable technique, Laplace transformation and Gumbel-Hougaard family of copula. Findings Numerical examples with a way to highlight the important results have been appended at last. Numerical calculation shows that availability and reliability of the system is decreasing with respect to time when failure rates are fixed at different values. Finally, cost analysis of system reveals that the expected profit decreases with increase in service cost. Originality/value This paper presents a mathematical model in which an important aspect of switching has been taken into consideration, which is consistent with actual failures of switching by assuming two different types of failure between adjacent transition. It is evaluated with the help of the Gumbel-Hougaard family of copula.

Cost assessment of the bus fleet technical maintenance

2019 ◽  
Vol 39 (2) ◽  
pp. 90-95
Author(s):  
V. V. Turgeneva ◽  
V. D. Sekerin
Keyword(s):  
Cost Evaluation ◽  
Cost Assessment ◽  
Effective Management ◽  
Structure Investigation ◽  
Service Cost ◽  
Technical Maintenance ◽  
Maintenance Service ◽  
The Cost ◽  
Operating Company ◽  
Bus Transport

To assess the effectiveness of bus fleet technical maintenance, service cost evaluation should be organized. This cost analysis is essential for effective management at automobile operating company. The article describes the bus transport position in Moscow transport economy. The importance of technical maintenance in a bus transport system is defined. Special attention is given to the cost structure investigation.

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