{"title":"具有线性和非线性服务率的多输入到达双列队列模型","authors":"S. Agrawal, L. M. Tiwari, S. Kapoor","doi":"10.1109/ICMSAO.2011.5775550","DOIUrl":null,"url":null,"abstract":"In the present paper analytical study of expecting phenomena is shown. There are two type of server is taken which is called as S1 and S2 in which S1 and S2 is different from each other. Probability based study has to be taken for their comparative work. The mathematical formulation of steady state situation is formed in terms of difference equation. The generating function technique has been adopted for the solution for the above set of model. Marginal Mean Queue Length, Mean Queue Length is also analyzed in this study. Finally the decision making scheme is comparatively good from the available lit.","PeriodicalId":6383,"journal":{"name":"2011 Fourth International Conference on Modeling, Simulation and Applied Optimization","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Model of bi-tandem queues with multi input arrival and with linear and non linear service rates\",\"authors\":\"S. Agrawal, L. M. Tiwari, S. Kapoor\",\"doi\":\"10.1109/ICMSAO.2011.5775550\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper analytical study of expecting phenomena is shown. There are two type of server is taken which is called as S1 and S2 in which S1 and S2 is different from each other. Probability based study has to be taken for their comparative work. The mathematical formulation of steady state situation is formed in terms of difference equation. The generating function technique has been adopted for the solution for the above set of model. Marginal Mean Queue Length, Mean Queue Length is also analyzed in this study. Finally the decision making scheme is comparatively good from the available lit.\",\"PeriodicalId\":6383,\"journal\":{\"name\":\"2011 Fourth International Conference on Modeling, Simulation and Applied Optimization\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-04-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 Fourth International Conference on Modeling, Simulation and Applied Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMSAO.2011.5775550\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Fourth International Conference on Modeling, Simulation and Applied Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMSAO.2011.5775550","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Model of bi-tandem queues with multi input arrival and with linear and non linear service rates
In the present paper analytical study of expecting phenomena is shown. There are two type of server is taken which is called as S1 and S2 in which S1 and S2 is different from each other. Probability based study has to be taken for their comparative work. The mathematical formulation of steady state situation is formed in terms of difference equation. The generating function technique has been adopted for the solution for the above set of model. Marginal Mean Queue Length, Mean Queue Length is also analyzed in this study. Finally the decision making scheme is comparatively good from the available lit.