Pub Date : 2021-09-01DOI: 10.1504/ijmor.2020.10040213
I. Yusuf, I. Musa
In this paper, investigation of the profit of parallel system consisting of two subsystems A and B is carried out. Each of the subsystem consists of two dissimilar components in active parallel. Two different replacement models are considered. Model 1 addresses the availability of the system by considering group replacement of the two subsystems at the system failure. Model 2 addresses the availability of the system by considering individual replacement of subsystem at its failure. In order to examine the validity of the models introduced and conduct sensitivity analysis, some diagrams are drawn for each model. Through the linear differential difference equation, explicit expressions for steady state availability for the two models are derived. Numerical examples are presented to illustrate the obtained results and to analyse the effect of group and individual replacement on the availability.
{"title":"Availability analysis of a complex system consisting of two subsystems in parallel configuration with replacement at failure","authors":"I. Yusuf, I. Musa","doi":"10.1504/ijmor.2020.10040213","DOIUrl":"https://doi.org/10.1504/ijmor.2020.10040213","url":null,"abstract":"In this paper, investigation of the profit of parallel system consisting of two subsystems A and B is carried out. Each of the subsystem consists of two dissimilar components in active parallel. Two different replacement models are considered. Model 1 addresses the availability of the system by considering group replacement of the two subsystems at the system failure. Model 2 addresses the availability of the system by considering individual replacement of subsystem at its failure. In order to examine the validity of the models introduced and conduct sensitivity analysis, some diagrams are drawn for each model. Through the linear differential difference equation, explicit expressions for steady state availability for the two models are derived. Numerical examples are presented to illustrate the obtained results and to analyse the effect of group and individual replacement on the availability.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"202 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114559642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-10-12DOI: 10.1504/ijmor.2020.10032449
A. Shaikh, G. C. Panda, Md. Al-Amin Khan, A. Mashud, Amiya Biswas
In this paper, we have described an inventory model for a deteriorating item having preservation facility with trade credit policy. The demand for this inventory model is ramp type. Shortages are allowed due to the waiting time for the arrival of next lot. In this paper, we have described two inventory models due to ramp type demand. We have solved these two inventory models by using a separate numerical example. We have supplied concavity of the objective function for each model (winner case). Finally, we performed sensitivity analysis for each model and made a conclusion accordingly.
{"title":"An inventory model for deteriorating items with preservation facility of ramp type demand and trade credit","authors":"A. Shaikh, G. C. Panda, Md. Al-Amin Khan, A. Mashud, Amiya Biswas","doi":"10.1504/ijmor.2020.10032449","DOIUrl":"https://doi.org/10.1504/ijmor.2020.10032449","url":null,"abstract":"In this paper, we have described an inventory model for a deteriorating item having preservation facility with trade credit policy. The demand for this inventory model is ramp type. Shortages are allowed due to the waiting time for the arrival of next lot. In this paper, we have described two inventory models due to ramp type demand. We have solved these two inventory models by using a separate numerical example. We have supplied concavity of the objective function for each model (winner case). Finally, we performed sensitivity analysis for each model and made a conclusion accordingly.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123109920","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-10-12DOI: 10.1504/ijmor.2020.110843
Shweta Upadhyaya, Chetna Kushwaha
This paper deals with the analysis of MX/G/1 retrial queue with impatient customers, modified vacation policy and Bernoulli feedback. When the incoming customer finds the server busy, on vacation or in the state of breakdown, he joins the virtual queue called retrial orbit, otherwise the service is provided to the customer who is at the head of the queue. The service is provided in l(0 ≤ i ≤ l) phases where first is compulsory service and remaining services are optional. When the system becomes empty, server leaves for the vacation of arbitrary length and can take at most J number of vacations. When server comes back from the vacation and finds at least one customer in the queue, he starts providing service to the customer. Supplementary variable technique (SVT) and probability generating function (PGF) method is used to derive the system size distribution and other performance indices. We have also approximated the analytical results using adaptive neuro-fuzzy interface system (ANFIS) soft computing technique, which can identify parameters using supervised learning methods.
{"title":"Performance prediction and ANFIS computing for unreliable retrial queue with delayed repair under modified vacation policy","authors":"Shweta Upadhyaya, Chetna Kushwaha","doi":"10.1504/ijmor.2020.110843","DOIUrl":"https://doi.org/10.1504/ijmor.2020.110843","url":null,"abstract":"This paper deals with the analysis of MX/G/1 retrial queue with impatient customers, modified vacation policy and Bernoulli feedback. When the incoming customer finds the server busy, on vacation or in the state of breakdown, he joins the virtual queue called retrial orbit, otherwise the service is provided to the customer who is at the head of the queue. The service is provided in l(0 ≤ i ≤ l) phases where first is compulsory service and remaining services are optional. When the system becomes empty, server leaves for the vacation of arbitrary length and can take at most J number of vacations. When server comes back from the vacation and finds at least one customer in the queue, he starts providing service to the customer. Supplementary variable technique (SVT) and probability generating function (PGF) method is used to derive the system size distribution and other performance indices. We have also approximated the analytical results using adaptive neuro-fuzzy interface system (ANFIS) soft computing technique, which can identify parameters using supervised learning methods.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130216269","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-08-06DOI: 10.1504/ijmor.2020.109035
Chrystopher Vaca Terán, Javier Martinez Gomez, J. L. Milla
The aim of this study was to select the best material using the multi-criteria decision methods, obtaining the best results and the respective choice of material, optimising surface fatigue and increasing its resistance to wear applied to a gearbox. For which the multi-criteria decision methods were done to obtain an order or ranking of the set of alternatives. To obtain this ranking, the set of alternatives must be well defined, just as the criteria must be well determined. After using the multi-criteria, it was determined that the material chosen according to the ranking and is the third alternative that has relevant characteristics such as elastic limit, tensile strength and good thermal capacity. The entropy method applied to the weights helps avoid the subjectivity of the designer and make it conform to real parameters. According to the methods COPRAS, TOPSIS, PROMETHEE and VIKOR; the best material is the AISI 4140, due to the best mechanical and thermal properties. On the basis of the numerical results, it can be concluded that the proposed methods can deal with the problems of material selection with the dependence of criteria.
{"title":"Material selection through of multi-criteria decisions methods applied to a helical gearbox","authors":"Chrystopher Vaca Terán, Javier Martinez Gomez, J. L. Milla","doi":"10.1504/ijmor.2020.109035","DOIUrl":"https://doi.org/10.1504/ijmor.2020.109035","url":null,"abstract":"The aim of this study was to select the best material using the multi-criteria decision methods, obtaining the best results and the respective choice of material, optimising surface fatigue and increasing its resistance to wear applied to a gearbox. For which the multi-criteria decision methods were done to obtain an order or ranking of the set of alternatives. To obtain this ranking, the set of alternatives must be well defined, just as the criteria must be well determined. After using the multi-criteria, it was determined that the material chosen according to the ranking and is the third alternative that has relevant characteristics such as elastic limit, tensile strength and good thermal capacity. The entropy method applied to the weights helps avoid the subjectivity of the designer and make it conform to real parameters. According to the methods COPRAS, TOPSIS, PROMETHEE and VIKOR; the best material is the AISI 4140, due to the best mechanical and thermal properties. On the basis of the numerical results, it can be concluded that the proposed methods can deal with the problems of material selection with the dependence of criteria.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"120 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128036914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-08-06DOI: 10.1504/ijmor.2020.10024710
A. Alzulaibani
The aim of this paper is to study the stability of the optimal distribution for the searching effort to detect two related Markovian targets by using multiple cooperative searchers. This effort, at each fixed number of time intervals, is a random variable with a normal distribution. The optimal solution (which makes the discounted effort reward with fuzzy parameter maximum) is obtained from solving a fuzzy stochastic optimisation problem. Rather than presenting an algorithm that shows the stability of the optimal distribution of an effort, we study more interesting special cases of located spider landmines and unrestricted effort. Two illustrative examples of Markovian and randomly located spider landmines are discussed.
{"title":"Stability of the optimal distribution for the searching effort to find the Markovian targets by using fuzzy maximum discounted effort reward search: case of the cooperative search techniques","authors":"A. Alzulaibani","doi":"10.1504/ijmor.2020.10024710","DOIUrl":"https://doi.org/10.1504/ijmor.2020.10024710","url":null,"abstract":"The aim of this paper is to study the stability of the optimal distribution for the searching effort to detect two related Markovian targets by using multiple cooperative searchers. This effort, at each fixed number of time intervals, is a random variable with a normal distribution. The optimal solution (which makes the discounted effort reward with fuzzy parameter maximum) is obtained from solving a fuzzy stochastic optimisation problem. Rather than presenting an algorithm that shows the stability of the optimal distribution of an effort, we study more interesting special cases of located spider landmines and unrestricted effort. Two illustrative examples of Markovian and randomly located spider landmines are discussed.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128596117","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-01DOI: 10.1504/ijmor.2020.108408
Mamatha Elliriki, S. Saritha, C. Reddy, P. Rajadurai
Classical queuing theory is playing vital role to study and analyse the performance analysis of real-time servicing systems, production inventory and manufacturing systems, telecommunication systems, modern information and communication technology systems and computing sector. In recent decays, bounded and immeasurable queues have been intensively studied; due to its attractive mathematical features with wide spread applicability. Such a system describes units of work, e.g., particles or customers, arriving at a resource, that stay present for some random duration that is independent of other customers. The aim of this paper is to evaluate the performance measures with a single server queuing system. Mathematical model has been developed to study the probability live time of the server using algebraic eigenproperties. These models are indispensable in real-time systems, manufacturing and communication queuing systems, including wireless networks, mobility, and randomly arriving traffic.
{"title":"Mathematical modelling and performance analysis of single server queuing system - eigenspectrum","authors":"Mamatha Elliriki, S. Saritha, C. Reddy, P. Rajadurai","doi":"10.1504/ijmor.2020.108408","DOIUrl":"https://doi.org/10.1504/ijmor.2020.108408","url":null,"abstract":"Classical queuing theory is playing vital role to study and analyse the performance analysis of real-time servicing systems, production inventory and manufacturing systems, telecommunication systems, modern information and communication technology systems and computing sector. In recent decays, bounded and immeasurable queues have been intensively studied; due to its attractive mathematical features with wide spread applicability. Such a system describes units of work, e.g., particles or customers, arriving at a resource, that stay present for some random duration that is independent of other customers. The aim of this paper is to evaluate the performance measures with a single server queuing system. Mathematical model has been developed to study the probability live time of the server using algebraic eigenproperties. These models are indispensable in real-time systems, manufacturing and communication queuing systems, including wireless networks, mobility, and randomly arriving traffic.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"2012 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114629935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-07-01DOI: 10.1504/ijmor.2020.108418
E. El-Ghamry, M. El-Halawany, M. Shokry
In this paper, the multi-fuzzy sets and its arithmetic operations are first introduced briefly then we describe an idea of using multi-fuzzy sets approach to reliability analysis of different types of unrepairable fuzzy systems as series, parallel, series-parallel and parallel-series systems consist of independent components. The knowledge about causes and effects of failures is usually described with large uncertainty content so the reliability of each component can be represented by triangular multi-fuzzy set. Each multi-fuzzy set is estimated by using the concept of confidence interval that calculated based on statistical data taken from random samples of each component. A numerical example is given to demonstrate the applicability of the multi-fuzzy sets in different structural engineering systems and the results were drawn by using MAPLE software program.
{"title":"Reliability analysis of different systems using triangular multi-fuzzy sets estimated by statistical data","authors":"E. El-Ghamry, M. El-Halawany, M. Shokry","doi":"10.1504/ijmor.2020.108418","DOIUrl":"https://doi.org/10.1504/ijmor.2020.108418","url":null,"abstract":"In this paper, the multi-fuzzy sets and its arithmetic operations are first introduced briefly then we describe an idea of using multi-fuzzy sets approach to reliability analysis of different types of unrepairable fuzzy systems as series, parallel, series-parallel and parallel-series systems consist of independent components. The knowledge about causes and effects of failures is usually described with large uncertainty content so the reliability of each component can be represented by triangular multi-fuzzy set. Each multi-fuzzy set is estimated by using the concept of confidence interval that calculated based on statistical data taken from random samples of each component. A numerical example is given to demonstrate the applicability of the multi-fuzzy sets in different structural engineering systems and the results were drawn by using MAPLE software program.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"330 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116644763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-04-22DOI: 10.1504/ijmor.2020.10028387
G. Ayyappan, S. Karpagam
We studied the behaviour of an M[X]/G(a, b)/1 queueing system with unreliable server, multiple vacation, overloading and stand-by server in this paper. The stand-by server is utilised only during main server's repair period. The probability generating function (PGF) of queue size and some important performance measures are derived. An extensive numerical result is illustrated.
{"title":"Analysis of a bulk service queue with unreliable server, multiple vacation, overloading and stand-by server","authors":"G. Ayyappan, S. Karpagam","doi":"10.1504/ijmor.2020.10028387","DOIUrl":"https://doi.org/10.1504/ijmor.2020.10028387","url":null,"abstract":"We studied the behaviour of an M[X]/G(a, b)/1 queueing system with unreliable server, multiple vacation, overloading and stand-by server in this paper. The stand-by server is utilised only during main server's repair period. The probability generating function (PGF) of queue size and some important performance measures are derived. An extensive numerical result is illustrated.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126243899","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-04-22DOI: 10.1504/IJMOR.2019.10020350
L. Ocampo, Eppie Estanislao-Clark, A. Chiu, R. Tan
This paper presents a methodology that holistically captures the uncertainty of judgment in 'quasi-collaborative' group decision-making in the context of the analytic hierarchy/network process. The proposed method is motivated mainly by the two uncertainty approaches that seemingly diverge in literature: the simulation approach and the fuzzy set theory (FST) approach. In the proposed method, FST is used to handle the judgmental uncertainty of individual decision-maker while simulation addresses randomness and uncertainty when individual judgments are aggregated as a group decision. An illustrative problem is presented in this paper along with a numerical experiment that attempts to compare the efficacy of the proposed methodology with existing methods. Results show that the method is more capable of handling uncertain group decisions through simulation runs and it can perform sensitivity analysis which is essential in testing robustness of judgment results. Finally, the proposed method can identify non-expert member of the group.
{"title":"Holistically addressing uncertainty in group decision-making: the case of a 'quasi-collaborative' group structure","authors":"L. Ocampo, Eppie Estanislao-Clark, A. Chiu, R. Tan","doi":"10.1504/IJMOR.2019.10020350","DOIUrl":"https://doi.org/10.1504/IJMOR.2019.10020350","url":null,"abstract":"This paper presents a methodology that holistically captures the uncertainty of judgment in 'quasi-collaborative' group decision-making in the context of the analytic hierarchy/network process. The proposed method is motivated mainly by the two uncertainty approaches that seemingly diverge in literature: the simulation approach and the fuzzy set theory (FST) approach. In the proposed method, FST is used to handle the judgmental uncertainty of individual decision-maker while simulation addresses randomness and uncertainty when individual judgments are aggregated as a group decision. An illustrative problem is presented in this paper along with a numerical experiment that attempts to compare the efficacy of the proposed methodology with existing methods. Results show that the method is more capable of handling uncertain group decisions through simulation runs and it can perform sensitivity analysis which is essential in testing robustness of judgment results. Finally, the proposed method can identify non-expert member of the group.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117103723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-03-16DOI: 10.1504/ijmor.2020.10027492
J. Escobar, Andres Arroyo Marin, Juan David Lince
This paper considers the redesign problem of a supply chain for mass consumer products, considering financial criteria and scenarios of demand. An established supply chain is adopted as the starting point. The central problem lies in determining the closure and consolidation of distribution centres. The problem is solved using a multi-objective mixed-integer linear programming model, considering two objective functions: the maximisation of the net present value (NPV) of the supply chain and the minimisation of the financial risk. The efficiency of the mathematical model is tested with real data from a Colombian multinational manufacturer of mass consumer products. The results confirm the model's efficiency and the positive impact on the determination of the NPV and the financial risk of the company.
{"title":"Multi-objective mathematical model for the redesign of supply chains considering financial criteria optimisation and scenarios","authors":"J. Escobar, Andres Arroyo Marin, Juan David Lince","doi":"10.1504/ijmor.2020.10027492","DOIUrl":"https://doi.org/10.1504/ijmor.2020.10027492","url":null,"abstract":"This paper considers the redesign problem of a supply chain for mass consumer products, considering financial criteria and scenarios of demand. An established supply chain is adopted as the starting point. The central problem lies in determining the closure and consolidation of distribution centres. The problem is solved using a multi-objective mixed-integer linear programming model, considering two objective functions: the maximisation of the net present value (NPV) of the supply chain and the minimisation of the financial risk. The efficiency of the mathematical model is tested with real data from a Colombian multinational manufacturer of mass consumer products. The results confirm the model's efficiency and the positive impact on the determination of the NPV and the financial risk of the company.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130256332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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