Pub Date : 2018-10-09DOI: 10.1504/IJMOR.2018.095485
J. Oudaani
The purpose of this paper is to give some theoretical and numerical analysis approach, for local generalised and weakly uniqueness solution, to the models with interior dissipation and clamped boundary conditions of Von-Karman evolution, without rotational inertia and nonlinear internal dissipation. To approach the uniqueness solution we use the scheme of finite difference method.
{"title":"Numerical approach to the uniqueness solution of Von-Karman evolution","authors":"J. Oudaani","doi":"10.1504/IJMOR.2018.095485","DOIUrl":"https://doi.org/10.1504/IJMOR.2018.095485","url":null,"abstract":"The purpose of this paper is to give some theoretical and numerical analysis approach, for local generalised and weakly uniqueness solution, to the models with interior dissipation and clamped boundary conditions of Von-Karman evolution, without rotational inertia and nonlinear internal dissipation. To approach the uniqueness solution we use the scheme of finite difference method.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127915432","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 : 2018-10-09DOI: 10.1504/IJMOR.2018.10014392
P. K. Kapur, Ompal Singh, A. Shrivastava
The ever growing consumer's expectations for innovative and reliable software products within no time have driven developers to reframe the whole development process accordingly. To sustain in the stiff market competition, nowadays software firms are releasing their product early and continue testing to fix the remaining number of bugs in the operational phase by providing patches. A patch is a small program to fix the bugs. But continuing testing to provide patches for better product experience to users is also not economical from the firm's point of view. In the existing software reliability literature, few researchers have worked on to determine the optimal release and testing stop time of a software, but no work has been done to determine the optimal time for releasing, patching and to stop testing the software. In this paper, we present a unified framework of optimal policy to determine optimal software release time, patching time and testing stop time, to minimise overall testing cost. The proposed cost model is validated on a real life software failure dataset of tandem computers.
{"title":"A unified approach for optimal release, patching and testing time of a software","authors":"P. K. Kapur, Ompal Singh, A. Shrivastava","doi":"10.1504/IJMOR.2018.10014392","DOIUrl":"https://doi.org/10.1504/IJMOR.2018.10014392","url":null,"abstract":"The ever growing consumer's expectations for innovative and reliable software products within no time have driven developers to reframe the whole development process accordingly. To sustain in the stiff market competition, nowadays software firms are releasing their product early and continue testing to fix the remaining number of bugs in the operational phase by providing patches. A patch is a small program to fix the bugs. But continuing testing to provide patches for better product experience to users is also not economical from the firm's point of view. In the existing software reliability literature, few researchers have worked on to determine the optimal release and testing stop time of a software, but no work has been done to determine the optimal time for releasing, patching and to stop testing the software. In this paper, we present a unified framework of optimal policy to determine optimal software release time, patching time and testing stop time, to minimise overall testing cost. The proposed cost model is validated on a real life software failure dataset of tandem computers.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126851662","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 : 2018-10-09DOI: 10.1504/IJMOR.2018.10016395
R. D. Astanti, H. T. Luong, H. Wee, T. Ai
The traditional inventory policies have been developed for constant demand processes. In reality, demand is not always stable; it might have an increasing pattern. In this paper, a forward with backward inventory policy algorithm is developed to determine the operational parameters of an inventory system with a nonlinear increasing demand rate, shortage backorders and a finite planning horizon. Numerical experiments are also conducted to compare the results with the existing techniques and to illustrate the applicability of the proposed technique.
{"title":"A forward with backward inventory policy algorithm for nonlinear increasing demand and shortage backorders","authors":"R. D. Astanti, H. T. Luong, H. Wee, T. Ai","doi":"10.1504/IJMOR.2018.10016395","DOIUrl":"https://doi.org/10.1504/IJMOR.2018.10016395","url":null,"abstract":"The traditional inventory policies have been developed for constant demand processes. In reality, demand is not always stable; it might have an increasing pattern. In this paper, a forward with backward inventory policy algorithm is developed to determine the operational parameters of an inventory system with a nonlinear increasing demand rate, shortage backorders and a finite planning horizon. Numerical experiments are also conducted to compare the results with the existing techniques and to illustrate the applicability of the proposed technique.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115088689","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 : 2018-10-09DOI: 10.1504/IJMOR.2018.095492
Brojeswar Pal, A. K. Bhunia, K. Chaudhuri
This study deals with the modelling aspect of a two echelon imperfect production system in the presence of the promotional effort of the retailer. The production cost of the system varies with both the ordering lot size and quality of product, and the demand of the product depends on the quality of the product. The inventory level for the manufacturer starts with shortages and new production and the inventory level for the retailer also begin with shortages and new product lot. The cycle ends for both the players with also backlogged inventory. The backlogging rate for each of the player is dependent on waiting time. The behaviour of the model under integrated system is analysed. In the decentralised structure, retailer Stackelberg model are also discussed. The sensitivity of the key parameters is examined to test feasibility of the model. Finally, a numerical example is provided to investigate the proposed model.
{"title":"Promotional effort and quality sensitive two echelon production inventory model with partial backlogging","authors":"Brojeswar Pal, A. K. Bhunia, K. Chaudhuri","doi":"10.1504/IJMOR.2018.095492","DOIUrl":"https://doi.org/10.1504/IJMOR.2018.095492","url":null,"abstract":"This study deals with the modelling aspect of a two echelon imperfect production system in the presence of the promotional effort of the retailer. The production cost of the system varies with both the ordering lot size and quality of product, and the demand of the product depends on the quality of the product. The inventory level for the manufacturer starts with shortages and new production and the inventory level for the retailer also begin with shortages and new product lot. The cycle ends for both the players with also backlogged inventory. The backlogging rate for each of the player is dependent on waiting time. The behaviour of the model under integrated system is analysed. In the decentralised structure, retailer Stackelberg model are also discussed. The sensitivity of the key parameters is examined to test feasibility of the model. Finally, a numerical example is provided to investigate the proposed model.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126602370","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 : 2018-10-09DOI: 10.1504/IJMOR.2018.095484
Madhu Jain, Ritu Gupta
This investigation is concerned with the reliability analysis of redundant repairable system which is supported by mixed standby and two repairmen who turn on according to a threshold N-policy. The first repairman never takes a vacation while the second repairman leaves for a vacation of random length when the number of failed components is less than N. The concepts of standby switching failure, degradation and common cause failure are incorporated to predict the performance metrics of the real time redundant repairable system. By developing Markov model, the transient queue size distribution and expressions for the system reliability, mean time to system failure and other performance measures are obtained. The sensitivity analysis is performed by taking numerical illustration. The model is also examined computationally by employing the adaptive network-based fuzzy interference system (ANFIS) approach to compute the system descriptors. Using supervised learning process, the comparison between the ANFIS results and analytical results are made.
{"title":"N-policy for redundant repairable system with multiple types of warm standbys with switching failure and vacation","authors":"Madhu Jain, Ritu Gupta","doi":"10.1504/IJMOR.2018.095484","DOIUrl":"https://doi.org/10.1504/IJMOR.2018.095484","url":null,"abstract":"This investigation is concerned with the reliability analysis of redundant repairable system which is supported by mixed standby and two repairmen who turn on according to a threshold N-policy. The first repairman never takes a vacation while the second repairman leaves for a vacation of random length when the number of failed components is less than N. The concepts of standby switching failure, degradation and common cause failure are incorporated to predict the performance metrics of the real time redundant repairable system. By developing Markov model, the transient queue size distribution and expressions for the system reliability, mean time to system failure and other performance measures are obtained. The sensitivity analysis is performed by taking numerical illustration. The model is also examined computationally by employing the adaptive network-based fuzzy interference system (ANFIS) approach to compute the system descriptors. Using supervised learning process, the comparison between the ANFIS results and analytical results are made.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132065752","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 : 2018-10-09DOI: 10.1504/IJMOR.2018.095488
A. Mohtashami, A. Alinezhad, Mohammad Javad Nasiri Sadeghloo
The purpose of this paper is to develop an output oriented methodology with constant return to scale (CRS) assumption for calculating productivity changes by using double frontier (optimistic and pessimistic) data envelopment analysis (DEA) simultaneously for two-stage processes. Measuring the productivity changes with Malmquist productivity index (MPI) via double frontiers DEA with single process has been defined by Wang and Lan (2011) as a geometrically average of optimistic and pessimistic point of views to generate an aggregate MPI. In order to develop and modify the previous studies, in this paper we have proposed a method to modify Wang and Lan (2011) aggregate MPI and also extend it to two-stage process which we refer to the double frontiers two-stage DEA (DFTDEA). It should be mentioned that the proposed model of this paper measures the MPI's distance functions for two individual stages and whole process for both DEA different points of view by the traditional DEA models and supposed relational models in output oriented CCR models, respectively. Therefore, the identified double frontiers two-stage DEA (DFTDEA-based MPI) is more realistic and comprehensive than the conventional optimistic or pessimistic DEA-based MPI individually. Subsequently, the proposed approach is examined to five Iranian commercial banks over the five-year period, 2009-2013.
本文的目的是通过对两阶段过程同时使用双边界(乐观和悲观)数据包络分析(DEA)，建立一种以产出为导向的方法，并在恒定规模回报(CRS)假设下计算生产率变化。Wang和Lan(2011)通过单过程双边界DEA测量Malmquist生产率指数(MPI)的生产率变化，将其定义为乐观和悲观观点的几何平均，以产生总MPI。为了发展和完善前人的研究成果，本文提出了一种对Wang and Lan(2011)的总体MPI进行修正的方法，并将其扩展为两阶段过程，我们称之为双边界两阶段DEA (DFTDEA)。需要指出的是，本文所提出的模型分别测量了传统DEA模型和基于产出的CCR模型中假定关系模型的DEA不同观点下MPI在两个单独阶段和整个过程的距离函数。因此，确定的双边界两阶段DEA(基于dftdea的MPI)比传统的分别基于乐观或悲观的DEA的MPI更为现实和全面。随后，在2009年至2013年的五年期间，对五家伊朗商业银行进行了研究。
{"title":"Measuring the productivity changes with double frontiers data envelopment analysis for two-stage processes","authors":"A. Mohtashami, A. Alinezhad, Mohammad Javad Nasiri Sadeghloo","doi":"10.1504/IJMOR.2018.095488","DOIUrl":"https://doi.org/10.1504/IJMOR.2018.095488","url":null,"abstract":"The purpose of this paper is to develop an output oriented methodology with constant return to scale (CRS) assumption for calculating productivity changes by using double frontier (optimistic and pessimistic) data envelopment analysis (DEA) simultaneously for two-stage processes. Measuring the productivity changes with Malmquist productivity index (MPI) via double frontiers DEA with single process has been defined by Wang and Lan (2011) as a geometrically average of optimistic and pessimistic point of views to generate an aggregate MPI. In order to develop and modify the previous studies, in this paper we have proposed a method to modify Wang and Lan (2011) aggregate MPI and also extend it to two-stage process which we refer to the double frontiers two-stage DEA (DFTDEA). It should be mentioned that the proposed model of this paper measures the MPI's distance functions for two individual stages and whole process for both DEA different points of view by the traditional DEA models and supposed relational models in output oriented CCR models, respectively. Therefore, the identified double frontiers two-stage DEA (DFTDEA-based MPI) is more realistic and comprehensive than the conventional optimistic or pessimistic DEA-based MPI individually. Subsequently, the proposed approach is examined to five Iranian commercial banks over the five-year period, 2009-2013.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133181192","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 : 2018-09-27DOI: 10.1504/IJMOR.2018.094853
Sofiane Ziani, F. Rahmoune, M. Radjef
For an M/M/1 system, we analyse the strategic interactions of the social optimiser, the service provider and customers and their consequences on the system. The social optimiser chooses the type of information to make available to customers (make the system observable or unobservable), the service provider chooses the service rate with which he performs the service, and customers decide, according to the strategic choices of the first two agents, to use or not the system. As these agents are interacting in a common environment with respect to their objectives, we model the problem as a three-stage game between them. A resolution of the different stages will be made, which will give the overall solution to the considered problem, corresponding to the subgame perfect Nash equilibrium in behavioural strategies. A numerical analysis will be made where one can see the graphical solution of the game, comparisons and interpretations will be well established.
{"title":"Equilibrium behavioural strategies in an M/M/1 queue","authors":"Sofiane Ziani, F. Rahmoune, M. Radjef","doi":"10.1504/IJMOR.2018.094853","DOIUrl":"https://doi.org/10.1504/IJMOR.2018.094853","url":null,"abstract":"For an M/M/1 system, we analyse the strategic interactions of the social optimiser, the service provider and customers and their consequences on the system. The social optimiser chooses the type of information to make available to customers (make the system observable or unobservable), the service provider chooses the service rate with which he performs the service, and customers decide, according to the strategic choices of the first two agents, to use or not the system. As these agents are interacting in a common environment with respect to their objectives, we model the problem as a three-stage game between them. A resolution of the different stages will be made, which will give the overall solution to the considered problem, corresponding to the subgame perfect Nash equilibrium in behavioural strategies. A numerical analysis will be made where one can see the graphical solution of the game, comparisons and interpretations will be well established.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129966252","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 : 2018-09-27DOI: 10.1504/IJMOR.2018.094848
Rahul Goel
In this article, an economic order quantity (EOQ) model for deteriorating items with trade-credit facility is presented. It is assumed that decay rate is two parameter Weibull distributed function of time. Demand rate of the products increases with time. Shortages are allowed and partially backlogged. The whole study is done in inflationary environment. A numerical assessment is done to exemplify the proposed model and sensitivity analysis with respect to the change in system parameters is also carried out.
{"title":"Partial backlogging EOQ model with trade-credit facility and inflationary environment","authors":"Rahul Goel","doi":"10.1504/IJMOR.2018.094848","DOIUrl":"https://doi.org/10.1504/IJMOR.2018.094848","url":null,"abstract":"In this article, an economic order quantity (EOQ) model for deteriorating items with trade-credit facility is presented. It is assumed that decay rate is two parameter Weibull distributed function of time. Demand rate of the products increases with time. Shortages are allowed and partially backlogged. The whole study is done in inflationary environment. A numerical assessment is done to exemplify the proposed model and sensitivity analysis with respect to the change in system parameters is also carried out.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"248 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116576806","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 : 2018-09-27DOI: 10.1504/IJMOR.2018.094849
B. Praba, G. Gomathi, V. Mani, M. Vageesh
In this paper, the concept of rough set is introduced for an information system with multi-layered weighted fuzzy attributes. The equivalence classes of the objects are formed using the fuzzy weight given to the objects in terms of these multi-layered weighted fuzzy attributes. The weight of the rough set is also defined using the weight of its lower and upper approximations and also we defined an interval valued fuzzy set on the set of objects. This helps to study the behaviour of any system with complex attributes. These concepts are illustrated with a real-time example.
{"title":"An application of multi-layered fuzzy attributed rough set in studying organisational culture system","authors":"B. Praba, G. Gomathi, V. Mani, M. Vageesh","doi":"10.1504/IJMOR.2018.094849","DOIUrl":"https://doi.org/10.1504/IJMOR.2018.094849","url":null,"abstract":"In this paper, the concept of rough set is introduced for an information system with multi-layered weighted fuzzy attributes. The equivalence classes of the objects are formed using the fuzzy weight given to the objects in terms of these multi-layered weighted fuzzy attributes. The weight of the rough set is also defined using the weight of its lower and upper approximations and also we defined an interval valued fuzzy set on the set of objects. This helps to study the behaviour of any system with complex attributes. These concepts are illustrated with a real-time example.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126760545","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 : 2018-09-27DOI: 10.1504/IJMOR.2018.094847
Ouiza Zerdani, F. Achemine
The problem of optimising a linear function over the efficient set of a multiobjective linear programming problem is an important field of research and has some applications in multiple objective decision making. The main difficulty of this problem is that its feasible domain is non-convex and not described explicitly. The main purpose of this paper is to describe an efficient and finite new algorithm which provides a global R-optimal solution of the problem of optimising a fuzzy linear function over the efficient set of a fuzzy multiobjective integer linear programming (FMOILP) problem without having to search all integer R-efficient solutions. All the parameters of the considered problem are characterised by trapezoidal fuzzy numbers. The proposed approach is based first on the concept of comparison of fuzzy numbers by using ranking function and on an extension of Jorge's algorithm onto fuzzy numbers. Finally a numerical illustration is included for illustration.
{"title":"On optimisation over the integer efficient set in fuzzy linear multicriteria programming","authors":"Ouiza Zerdani, F. Achemine","doi":"10.1504/IJMOR.2018.094847","DOIUrl":"https://doi.org/10.1504/IJMOR.2018.094847","url":null,"abstract":"The problem of optimising a linear function over the efficient set of a multiobjective linear programming problem is an important field of research and has some applications in multiple objective decision making. The main difficulty of this problem is that its feasible domain is non-convex and not described explicitly. The main purpose of this paper is to describe an efficient and finite new algorithm which provides a global R-optimal solution of the problem of optimising a fuzzy linear function over the efficient set of a fuzzy multiobjective integer linear programming (FMOILP) problem without having to search all integer R-efficient solutions. All the parameters of the considered problem are characterised by trapezoidal fuzzy numbers. The proposed approach is based first on the concept of comparison of fuzzy numbers by using ranking function and on an extension of Jorge's algorithm onto fuzzy numbers. Finally a numerical illustration is included for illustration.","PeriodicalId":306451,"journal":{"name":"Int. J. Math. Oper. Res.","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116195568","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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