Development of queueing models with balking and uncertain data using Fuzzy Set Theory
In this work we develop three queueing models with balking in which we incorporate an uncertain distribution of balking using Fuzzy Set Theory. For the study and analysis of the models, we take as a starting point the queueing model with balking development by Saaty from the models of Homma and Finc...
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description | In this work we develop three queueing models with balking in which we incorporate an uncertain distribution of balking using Fuzzy Set Theory. For the study and analysis of the models, we take as a starting point the queueing model with balking development by Saaty from the models of Homma and Finch. In order to verify the validity of the proposed methodology, we calculate the performance measures in three queueing models with balking: the queueing model with possibilistic distribution of balking, the queueing model with distribution of balking based on triangular fuzzy number and the fuzzy queueing model with possibilistic balking and uncertain parameters. The proposed technique is suitable for the performance evaluation of queueing models with balking where the accurate data are not available and need to be approximated by fuzzy values, and it provides engineers with more useful information about the possible system behavior. |
doi_str_mv | 10.1109/IEEM.2009.5373330 |
format | Conference Proceeding |
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For the study and analysis of the models, we take as a starting point the queueing model with balking development by Saaty from the models of Homma and Finch. In order to verify the validity of the proposed methodology, we calculate the performance measures in three queueing models with balking: the queueing model with possibilistic distribution of balking, the queueing model with distribution of balking based on triangular fuzzy number and the fuzzy queueing model with possibilistic balking and uncertain parameters. 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The proposed technique is suitable for the performance evaluation of queueing models with balking where the accurate data are not available and need to be approximated by fuzzy values, and it provides engineers with more useful information about the possible system behavior.</description><subject>Computer networks</subject><subject>Data engineering</subject><subject>Frequency</subject><subject>Fuzzy set theory</subject><subject>Fuzzy Sets Theory</subject><subject>Fuzzy systems</subject><subject>Performance analysis</subject><subject>Possibility theory</subject><subject>Probability distribution</subject><subject>Queueing analysis</subject><subject>Queueing Models with Balking</subject><subject>Uncertainty</subject><issn>2157-3611</issn><issn>2157-362X</issn><isbn>1424448697</isbn><isbn>9781424448692</isbn><isbn>9781424448708</isbn><isbn>1424448700</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2009</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNo9kNtOwkAURccLiYB8gPFlfqD1zKUznUeDoCQYH4TEN3LaOZVqabEXDXy9EIlPO9krWdnZjN0ICIUAdzebTJ5DCeDCSFmlFJyxkbOx0FJrHVuIz1lfisgGysi3CzY4AePs5T8QoscGR4eDKAZ7xUZN8wEAQsZGOtNnywf6pqLabqhseZXxr446yst3vqk8FQ3_yds1T7D4PHZYet6VKdUt5iX32CLvmiOYdvv9jr9SyxdrqurdNetlWDQ0OuWQLaeTxfgpmL88zsb38yAXNmoDaUCmMsqckC7RQNorjMgapCRTaMAfuFSQolY-dT7WCAIPswm98yrN1JDd_nlzIlpt63yD9W51ukv9AsDHWGQ</recordid><startdate>200912</startdate><enddate>200912</enddate><creator>de la Fuente, D.</creator><creator>Pardo, M.J.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>200912</creationdate><title>Development of queueing models with balking and uncertain data using Fuzzy Set Theory</title><author>de la Fuente, D. ; Pardo, M.J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-2602c25f9129b40e4d3a5e76aebf3a60d602230ca43dc9d84a01a296ead9d3cf3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Computer networks</topic><topic>Data engineering</topic><topic>Frequency</topic><topic>Fuzzy set theory</topic><topic>Fuzzy Sets Theory</topic><topic>Fuzzy systems</topic><topic>Performance analysis</topic><topic>Possibility theory</topic><topic>Probability distribution</topic><topic>Queueing analysis</topic><topic>Queueing Models with Balking</topic><topic>Uncertainty</topic><toplevel>online_resources</toplevel><creatorcontrib>de la Fuente, D.</creatorcontrib><creatorcontrib>Pardo, M.J.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>de la Fuente, D.</au><au>Pardo, M.J.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Development of queueing models with balking and uncertain data using Fuzzy Set Theory</atitle><btitle>2009 IEEE International Conference on Industrial Engineering and Engineering Management</btitle><stitle>IEEM</stitle><date>2009-12</date><risdate>2009</risdate><spage>380</spage><epage>384</epage><pages>380-384</pages><issn>2157-3611</issn><eissn>2157-362X</eissn><isbn>1424448697</isbn><isbn>9781424448692</isbn><eisbn>9781424448708</eisbn><eisbn>1424448700</eisbn><abstract>In this work we develop three queueing models with balking in which we incorporate an uncertain distribution of balking using Fuzzy Set Theory. For the study and analysis of the models, we take as a starting point the queueing model with balking development by Saaty from the models of Homma and Finch. In order to verify the validity of the proposed methodology, we calculate the performance measures in three queueing models with balking: the queueing model with possibilistic distribution of balking, the queueing model with distribution of balking based on triangular fuzzy number and the fuzzy queueing model with possibilistic balking and uncertain parameters. The proposed technique is suitable for the performance evaluation of queueing models with balking where the accurate data are not available and need to be approximated by fuzzy values, and it provides engineers with more useful information about the possible system behavior.</abstract><pub>IEEE</pub><doi>10.1109/IEEM.2009.5373330</doi><tpages>5</tpages></addata></record> |
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subjects | Computer networks Data engineering Frequency Fuzzy set theory Fuzzy Sets Theory Fuzzy systems Performance analysis Possibility theory Probability distribution Queueing analysis Queueing Models with Balking Uncertainty |
title | Development of queueing models with balking and uncertain data using Fuzzy Set Theory |
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