Abstract In this short paper, an equivalent model to the one that has been provided by Iskander [1] is presented. The required linearization constraints and variables in the equivalent model are much fewer than that in the initially provided one. Hence, the proposed shortcut model can be easily utilized according to Iskander’s approach, especially for large scale problems. JEL classification numbers: C61, C63. Keywords: Alternative fuzzy goals, Zero-one fuzzy goal programming, Mixed zero-one fuzzy goal programming.
{"title":"A Shortcut Model for the Suggested Approach in Mixed Zero-One Fuzzy Goal Programming","authors":"M. G. Iskander","doi":"10.47260/jcomod/1211","DOIUrl":"https://doi.org/10.47260/jcomod/1211","url":null,"abstract":"Abstract\u0000\u0000In this short paper, an equivalent model to the one that has been provided by Iskander [1] is presented. The required linearization constraints and variables in the equivalent model are much fewer than that in the initially provided one. Hence, the proposed shortcut model can be easily utilized according to Iskander’s approach, especially for large scale problems. \u0000\u0000JEL classification numbers: C61, C63.\u0000Keywords: Alternative fuzzy goals, Zero-one fuzzy goal programming, Mixed zero-one fuzzy goal programming.","PeriodicalId":30638,"journal":{"name":"International Journal of Mathematical Modelling Computations","volume":"318 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90412132","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}
Abstract Now-a-days, learning’s awareness is increasing in various disciplines because effect of learning has a direct impact on profit or loss, and it is a promotional deemed effective tool for inventory management. The basic concept of the inventory model is that 100% of the articles in an ordered lot are of good quality but this concept is not practically justifiable for the production process owing to product deterioration and related factors and so deterioration of items cannot be ignored. Again due to lack of considering the influence of demand, the ameliorating items for the amount of inventory is increasing gradually and it is a natural phenomenon observing in much life stock models. In addition, as the deep financial crisis continues to haunt the global economy, the effects of inflation and time value of money cannot be oblivious to an inventory system. Again another important factor is shortages which no retailer would prefer, and in practice are partially backlogged and partially lost. In order to convert the lost sales into sales, the retailer offers such customers an incentive, by charging them the price prevailing at the time of placing an order, instead of the current inflated price. Therefore, bearing in mind these facts, the present paper develops an inventory model for a retailer dealing with deteriorating and ameliorating items with stock dependent demand under the influence of inflation and time-value of money over a fixed planning horizon where holding cost follows the learning curve. Finally, a numerical example is provided to illustrate the proposed model. Comparative study of the optimal solutions with respect to major parameters under different special cases is carried out graphically and some managerial inferences have been presented. Subject classification: AMS Classification No. 90B05. Keywords: Inventory, Learning effect, Deteriorating, Ameliorating, Inflation, Time-value of money, Shortages and Partial backlogging.
{"title":"Learning Effect on Inventory Model for Deteriorating and Ameliorating Items under Inflation and Partial Backlogging","authors":"Biswaranjan Manda","doi":"10.47260/jcomod/1121","DOIUrl":"https://doi.org/10.47260/jcomod/1121","url":null,"abstract":"Abstract\u0000\u0000Now-a-days, learning’s awareness is increasing in various disciplines because effect\u0000of learning has a direct impact on profit or loss, and it is a promotional deemed\u0000effective tool for inventory management. The basic concept of the inventory model\u0000is that 100% of the articles in an ordered lot are of good quality but this concept is\u0000not practically justifiable for the production process owing to product deterioration\u0000and related factors and so deterioration of items cannot be ignored. Again due to\u0000lack of considering the influence of demand, the ameliorating items for the amount\u0000of inventory is increasing gradually and it is a natural phenomenon observing in\u0000much life stock models. In addition, as the deep financial crisis continues to haunt\u0000the global economy, the effects of inflation and time value of money cannot be\u0000oblivious to an inventory system. Again another important factor is shortages which\u0000no retailer would prefer, and in practice are partially backlogged and partially lost.\u0000In order to convert the lost sales into sales, the retailer offers such customers an\u0000incentive, by charging them the price prevailing at the time of placing an order,\u0000instead of the current inflated price. Therefore, bearing in mind these facts, the\u0000present paper develops an inventory model for a retailer dealing with deteriorating\u0000and ameliorating items with stock dependent demand under the influence of\u0000inflation and time-value of money over a fixed planning horizon where holding cost\u0000follows the learning curve. Finally, a numerical example is provided to illustrate the\u0000proposed model. Comparative study of the optimal solutions with respect to major\u0000parameters under different special cases is carried out graphically and some\u0000managerial inferences have been presented.\u0000\u0000Subject classification: AMS Classification No. 90B05.\u0000Keywords: Inventory, Learning effect, Deteriorating, Ameliorating, Inflation,\u0000Time-value of money, Shortages and Partial backlogging.","PeriodicalId":30638,"journal":{"name":"International Journal of Mathematical Modelling Computations","volume":"36 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77958095","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}
Abstract In this paper, we propose a variation model which takes advantage of the wavelet tight frame and nonconvex shrinkage penalties for compressed sensing recovery. We address the proposed optimization problem by introducing a adjustable parameter and a firm thresholding operations. Numerical experiment results show that the proposed method outperforms some existing methods in terms of the convergence speed and reconstruction errors. JEL classification numbers: 68U10, 65K10, 90C25, 62H35. Keywords: Compressed Sensing, Nonconvex, Firm thresholding, Wavelet tight frame.
{"title":"An Efficient Nonconvex Regularization Method for Wavelet Frame Based Compressed Sensing Recovery","authors":"Xiao-Juan Yang, Jin Jing","doi":"10.47260/JCOMOD/1111","DOIUrl":"https://doi.org/10.47260/JCOMOD/1111","url":null,"abstract":"Abstract\u0000In this paper, we propose a variation model which takes advantage of the wavelet\u0000tight frame and nonconvex shrinkage penalties for compressed sensing recovery.\u0000We address the proposed optimization problem by introducing a adjustable\u0000parameter and a firm thresholding operations. Numerical experiment results show\u0000that the proposed method outperforms some existing methods in terms of the\u0000convergence speed and reconstruction errors.\u0000\u0000JEL classification numbers: 68U10, 65K10, 90C25, 62H35.\u0000Keywords: Compressed Sensing, Nonconvex, Firm thresholding, Wavelet tight\u0000frame.","PeriodicalId":30638,"journal":{"name":"International Journal of Mathematical Modelling Computations","volume":"90 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75717989","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 : 2019-06-01DOI: 10.5890/jand.2020.12.001
Abdelali Raji Allah, H. Alaoui
In this paper, an SIR epidemic model with an infectious period and a non-linear Beddington-DeAngelis type incidence rate function is considered. The dynamics of this model depend on the reproduction number R0. Accurately, if R0 1, we see that the disease-free equilibrium is unstable and the endemic equilibrium is permanent and locally asymptotically stable and we give sufficient conditions for the global asymptotic stability of the endemic equilibrium.
{"title":"Dynamics of a Delayed Epidemic Model with Beddington-Deangelis Incidence Rate and a Constant Infectious Period","authors":"Abdelali Raji Allah, H. Alaoui","doi":"10.5890/jand.2020.12.001","DOIUrl":"https://doi.org/10.5890/jand.2020.12.001","url":null,"abstract":"In this paper, an SIR epidemic model with an infectious period and a non-linear Beddington-DeAngelis type incidence rate function is considered. The dynamics of this model depend on the reproduction number R0. Accurately, if R0 1, we see that the disease-free equilibrium is unstable and the endemic equilibrium is permanent and locally asymptotically stable and we give sufficient conditions for the global asymptotic stability of the endemic equilibrium.","PeriodicalId":30638,"journal":{"name":"International Journal of Mathematical Modelling Computations","volume":"9 1","pages":"83-100"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47897885","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}
In this paper, we study the effects of Hall and ion-slip currents on the steady magneto-micropolar of a viscous incompressible and electrically conducting fluid over a horizontal plate by taking in to account the viscous dissipation effects. By means of similarity solutions, deviation of fundamental equations on the assumption of small magnetic Reynolds number are solved numerically by using quasilinearised first and finite difference method. The effects of various parameters of the problem, e.g. the magnetic parameter, Hall parameter, ion- slip parameter, buoyancy parameter and material parameter and Eckert number are discussed and shown graphically.
{"title":"HALL AND LON-SLIP EFFECTS ON MAGNETO-MICROPOLAR FLUID WITH COMBINED FORCED AND FREE CONVECTION IN BOUNDARY LAYER FLOW OVER A HORIZONTAL PLATE WITH VISCOUS DISSIPATION","authors":"G. Deepa, N. Kishan","doi":"10.14419/ijbas.v1i4.192","DOIUrl":"https://doi.org/10.14419/ijbas.v1i4.192","url":null,"abstract":"In this paper, we study the effects of Hall and ion-slip currents on the steady magneto-micropolar of a viscous incompressible and electrically conducting fluid over a horizontal plate by taking in to account the viscous dissipation effects. By means of similarity solutions, deviation of fundamental equations on the assumption of small magnetic Reynolds number are solved numerically by using quasilinearised first and finite difference method. The effects of various parameters of the problem, e.g. the magnetic parameter, Hall parameter, ion- slip parameter, buoyancy parameter and material parameter and Eckert number are discussed and shown graphically.","PeriodicalId":30638,"journal":{"name":"International Journal of Mathematical Modelling Computations","volume":"2 1","pages":"21-33"},"PeriodicalIF":0.0,"publicationDate":"2012-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66957729","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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