On the Stationary Distribution for a Fuzzy Inventory Model of Type (s,S) with Inverse Gaussian Distributed Demands
In this study, we consider a fuzzy inventory model of type ( s , S ) with random demands having an inverse Gaussian distribution. We first show the monotonicity of the renewal function with respect to mean parameter. Thus we obtain the membership function of the fuzzy renewal function when the amoun...
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| Veröffentlicht in: | Iranian journal of science and technology. Transaction A, Science Science, 2018-12, Vol.42 (4), p.2035-2043 |
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| container_issue | 4 |
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| container_title | Iranian journal of science and technology. Transaction A, Science |
| container_volume | 42 |
| creator | Khaniyev, Tahir Gökpınar, Fikri Hanalioglu, Tagi Burhan Turksen, I. |
| description | In this study, we consider a fuzzy inventory model of type (
s
,
S
) with random demands having an inverse Gaussian distribution. We first show the monotonicity of the renewal function with respect to mean parameter. Thus we obtain the membership function of the fuzzy renewal function when the amount of demands is a random variable having an inverse Gaussian distribution with a fuzzy mean parameter by using the monotonicity property of renewal function. Making use of the membership function of the renewal function, we obtain the membership function of the fuzzy ergodic distribution of this process. We also present some numerical results obtained by using this membership function. |
| doi_str_mv | 10.1007/s40995-017-0363-1 |
| format | Article |
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s
,
S
) with random demands having an inverse Gaussian distribution. We first show the monotonicity of the renewal function with respect to mean parameter. Thus we obtain the membership function of the fuzzy renewal function when the amount of demands is a random variable having an inverse Gaussian distribution with a fuzzy mean parameter by using the monotonicity property of renewal function. Making use of the membership function of the renewal function, we obtain the membership function of the fuzzy ergodic distribution of this process. We also present some numerical results obtained by using this membership function.</description><identifier>ISSN: 1028-6276</identifier><identifier>EISSN: 2364-1819</identifier><identifier>DOI: 10.1007/s40995-017-0363-1</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Chemistry/Food Science ; Earth Sciences ; Engineering ; Inverse Gaussian probability distribution ; Life Sciences ; Materials Science ; Mathematical models ; Parameters ; Physics ; Random variables ; Research Paper</subject><ispartof>Iranian journal of science and technology. Transaction A, Science, 2018-12, Vol.42 (4), p.2035-2043</ispartof><rights>Shiraz University 2017</rights><rights>Copyright Springer Science & Business Media 2018</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-f893fdb9b61ab9726efde0475bb39d2f73ab241c7dc52aac287c62fa23bb4d763</citedby><cites>FETCH-LOGICAL-c316t-f893fdb9b61ab9726efde0475bb39d2f73ab241c7dc52aac287c62fa23bb4d763</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>315,781,785,27929,27930</link.rule.ids></links><search><creatorcontrib>Khaniyev, Tahir</creatorcontrib><creatorcontrib>Gökpınar, Fikri</creatorcontrib><creatorcontrib>Hanalioglu, Tagi</creatorcontrib><creatorcontrib>Burhan Turksen, I.</creatorcontrib><title>On the Stationary Distribution for a Fuzzy Inventory Model of Type (s,S) with Inverse Gaussian Distributed Demands</title><title>Iranian journal of science and technology. Transaction A, Science</title><addtitle>Iran J Sci Technol Trans Sci</addtitle><description>In this study, we consider a fuzzy inventory model of type (
s
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S
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We also present some numerical results obtained by using this membership function.</description><subject>Chemistry/Food Science</subject><subject>Earth Sciences</subject><subject>Engineering</subject><subject>Inverse Gaussian probability distribution</subject><subject>Life Sciences</subject><subject>Materials Science</subject><subject>Mathematical models</subject><subject>Parameters</subject><subject>Physics</subject><subject>Random variables</subject><subject>Research Paper</subject><issn>1028-6276</issn><issn>2364-1819</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp1kEFLwzAYhoMoOOZ-gLeAFwWj-ZIuaY-yuTmY7LB5DkmbuMqWzqRVtl9vZ4WdPH188LzvCw9C10AfgFL5GBOaZUNCQRLKBSdwhnqMi4RACtk56gFlKRFMiks0iLE0lAMIyRLRQ2Hhcb22eFnruqy8Dns8LmMdStMcf-yqgDWeNIfDHs_8l_V11SKvVWE3uHJ4td9ZfBvvl3f4u6zXv0iIFk910w5pfyqzBR7brfZFvEIXTm-iHfzdPnqbPK9GL2S-mM5GT3OScxA1cWnGXWEyI0CbTDJhXWFpIofG8KxgTnJtWAK5LPIh0zpnqcwFc5pxY5JCCt5HN13vLlSfjY21-qia4NtJxYCLVDDB05aCjspDFWOwTu1CuW09KKDqaFd1dlVrVx3tKmgzrMvElvXvNpya_w_9AGy-fdA</recordid><startdate>20181201</startdate><enddate>20181201</enddate><creator>Khaniyev, Tahir</creator><creator>Gökpınar, Fikri</creator><creator>Hanalioglu, Tagi</creator><creator>Burhan Turksen, I.</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>7U5</scope><scope>7WY</scope><scope>7XB</scope><scope>883</scope><scope>8AF</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8FL</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>ATCPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>D1I</scope><scope>DWQXO</scope><scope>FR3</scope><scope>FRNLG</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>H8D</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K60</scope><scope>K6~</scope><scope>K7-</scope><scope>KB.</scope><scope>KR7</scope><scope>L.-</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0F</scope><scope>M2O</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PATMY</scope><scope>PDBOC</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>PYCSY</scope><scope>Q9U</scope></search><sort><creationdate>20181201</creationdate><title>On the Stationary Distribution for a Fuzzy Inventory Model of Type (s,S) with Inverse Gaussian Distributed Demands</title><author>Khaniyev, Tahir ; 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Transaction A, Science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Khaniyev, Tahir</au><au>Gökpınar, Fikri</au><au>Hanalioglu, Tagi</au><au>Burhan Turksen, I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the Stationary Distribution for a Fuzzy Inventory Model of Type (s,S) with Inverse Gaussian Distributed Demands</atitle><jtitle>Iranian journal of science and technology. Transaction A, Science</jtitle><stitle>Iran J Sci Technol Trans Sci</stitle><date>2018-12-01</date><risdate>2018</risdate><volume>42</volume><issue>4</issue><spage>2035</spage><epage>2043</epage><pages>2035-2043</pages><issn>1028-6276</issn><eissn>2364-1819</eissn><abstract>In this study, we consider a fuzzy inventory model of type (
s
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S
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| source | Alma/SFX Local Collection |
| subjects | Chemistry/Food Science Earth Sciences Engineering Inverse Gaussian probability distribution Life Sciences Materials Science Mathematical models Parameters Physics Random variables Research Paper |
| title | On the Stationary Distribution for a Fuzzy Inventory Model of Type (s,S) with Inverse Gaussian Distributed Demands |
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