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On a queueing-inventory system with impatient customers, advanced reservation, cancellation, overbooking and common life time
We consider a queueing-inventory problem with Markovian arrival process, phase type distributed service time. The life time of items is exponentially distributed; all items perish together which means they have a common life time. Reservation (purchase) and cancellation of purchased items is permitt...
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| Published in: | Operational research 2021-06, Vol.21 (2), p.1229-1253 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c404t-f25b68be80b0d02d9514d825b63d3d7de69f95c557165805066cde74228ab71a3 |
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| container_issue | 2 |
| container_start_page | 1229 |
| container_title | Operational research |
| container_volume | 21 |
| creator | Shajin, Dhanya Krishnamoorthy, A. |
| description | We consider a queueing-inventory problem with Markovian arrival process, phase type distributed service time. The life time of items is exponentially distributed; all items perish together which means they have a common life time. Reservation (purchase) and cancellation of purchased items is permitted as long as the common life time is not realized. In addition overbooking of items upto a certain maximum is also permitted. When system is fully overbooked waiting customers tend to leave the system. On realization of common life time, instantly
S
items are procured resulting in the commencement of next cycle. In the particular case of Poisson process and exponentially distributed service time we show that the system admits asymptotic product form solution. System state characteristics are computed which are then numerically illustrated for different sets of values for the input parameters. |
| doi_str_mv | 10.1007/s12351-019-00475-3 |
| format | article |
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S
items are procured resulting in the commencement of next cycle. In the particular case of Poisson process and exponentially distributed service time we show that the system admits asymptotic product form solution. System state characteristics are computed which are then numerically illustrated for different sets of values for the input parameters.</description><identifier>ISSN: 1109-2858</identifier><identifier>EISSN: 1866-1505</identifier><identifier>DOI: 10.1007/s12351-019-00475-3</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Business and Management ; Computational Intelligence ; Customers ; Inventory management ; Management Science ; Markov analysis ; Markov processes ; Operations Research ; Operations Research/Decision Theory ; Original Paper ; Poisson density functions ; Queues ; Queuing theory</subject><ispartof>Operational research, 2021-06, Vol.21 (2), p.1229-1253</ispartof><rights>Springer-Verlag GmbH Germany, part of Springer Nature 2019</rights><rights>Operational Research is a copyright of Springer, (2019). All Rights Reserved.</rights><rights>Springer-Verlag GmbH Germany, part of Springer Nature 2019.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c404t-f25b68be80b0d02d9514d825b63d3d7de69f95c557165805066cde74228ab71a3</citedby><cites>FETCH-LOGICAL-c404t-f25b68be80b0d02d9514d825b63d3d7de69f95c557165805066cde74228ab71a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2199000789/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$H</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2199000789?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>314,780,784,11688,27924,27925,36060,44363,74767</link.rule.ids></links><search><creatorcontrib>Shajin, Dhanya</creatorcontrib><creatorcontrib>Krishnamoorthy, A.</creatorcontrib><title>On a queueing-inventory system with impatient customers, advanced reservation, cancellation, overbooking and common life time</title><title>Operational research</title><addtitle>Oper Res Int J</addtitle><description>We consider a queueing-inventory problem with Markovian arrival process, phase type distributed service time. The life time of items is exponentially distributed; all items perish together which means they have a common life time. Reservation (purchase) and cancellation of purchased items is permitted as long as the common life time is not realized. In addition overbooking of items upto a certain maximum is also permitted. When system is fully overbooked waiting customers tend to leave the system. On realization of common life time, instantly
S
items are procured resulting in the commencement of next cycle. In the particular case of Poisson process and exponentially distributed service time we show that the system admits asymptotic product form solution. System state characteristics are computed which are then numerically illustrated for different sets of values for the input parameters.</description><subject>Business and Management</subject><subject>Computational Intelligence</subject><subject>Customers</subject><subject>Inventory management</subject><subject>Management Science</subject><subject>Markov analysis</subject><subject>Markov processes</subject><subject>Operations Research</subject><subject>Operations Research/Decision Theory</subject><subject>Original Paper</subject><subject>Poisson density functions</subject><subject>Queues</subject><subject>Queuing theory</subject><issn>1109-2858</issn><issn>1866-1505</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>M0C</sourceid><recordid>eNp9kU9PAyEQxTdGE5vaL-CJxGvRAZZd9mga_yVNetEzYZfZurULFbY1PfjdpdbEW7kMDL_3yPCy7JrBLQMo7yLjQjIKrKIAeSmpOMtGTBUFZRLkedozqChXUl1mkxhXkJbgpcrVKPteOGLI5xa32Lkl7dwO3eDDnsR9HLAnX93wTrp-Y4YuXZBmGwffY4hTYuzOuAYtCRgx7BLg3ZQ0h956_XfyOwy19x_JmhhnSeP73juy7lokQ9fjVXbRmnXEyV8dZ2-PD6-zZzpfPL3M7ue0ySEfaMtlXagaFdRggdtKstyqQ1NYYUuLRdVWspGyZIVUIKEoGotlzrkydcmMGGc3R99N8GnWOOiV3waXntRcCuCyYJKdpFhVpV8rVZUofqSa4GMM2OpN6HoT9pqBPuShj3nolIf-zUOLJBJHUUywW2L4tz6h-gGp2I5G</recordid><startdate>20210601</startdate><enddate>20210601</enddate><creator>Shajin, Dhanya</creator><creator>Krishnamoorthy, A.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TB</scope><scope>7WY</scope><scope>7WZ</scope><scope>7XB</scope><scope>87Z</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8FL</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>FRNLG</scope><scope>F~G</scope><scope>HCIFZ</scope><scope>K60</scope><scope>K6~</scope><scope>K8~</scope><scope>KR7</scope><scope>L.-</scope><scope>L6V</scope><scope>M0C</scope><scope>M7S</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope></search><sort><creationdate>20210601</creationdate><title>On a queueing-inventory system with impatient customers, advanced reservation, cancellation, overbooking and common life time</title><author>Shajin, Dhanya ; Krishnamoorthy, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c404t-f25b68be80b0d02d9514d825b63d3d7de69f95c557165805066cde74228ab71a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Business and Management</topic><topic>Computational Intelligence</topic><topic>Customers</topic><topic>Inventory management</topic><topic>Management Science</topic><topic>Markov analysis</topic><topic>Markov processes</topic><topic>Operations Research</topic><topic>Operations Research/Decision Theory</topic><topic>Original Paper</topic><topic>Poisson density functions</topic><topic>Queues</topic><topic>Queuing theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Shajin, Dhanya</creatorcontrib><creatorcontrib>Krishnamoorthy, A.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ABI/INFORM Collection</collection><collection>ABI/INFORM Global (PDF only)</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>ABI/INFORM Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ABI/INFORM Collection (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central</collection><collection>ProQuest Central</collection><collection>Business Premium Collection</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>Business Premium Collection (Alumni)</collection><collection>ABI/INFORM Global (Corporate)</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Business Collection (Alumni Edition)</collection><collection>ProQuest Business Collection</collection><collection>DELNET Management Collection</collection><collection>Civil Engineering Abstracts</collection><collection>ABI/INFORM Professional Advanced</collection><collection>ProQuest Engineering Collection</collection><collection>ABI/INFORM Global</collection><collection>Engineering Database</collection><collection>One Business</collection><collection>ProQuest One Business (Alumni)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><jtitle>Operational research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Shajin, Dhanya</au><au>Krishnamoorthy, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On a queueing-inventory system with impatient customers, advanced reservation, cancellation, overbooking and common life time</atitle><jtitle>Operational research</jtitle><stitle>Oper Res Int J</stitle><date>2021-06-01</date><risdate>2021</risdate><volume>21</volume><issue>2</issue><spage>1229</spage><epage>1253</epage><pages>1229-1253</pages><issn>1109-2858</issn><eissn>1866-1505</eissn><abstract>We consider a queueing-inventory problem with Markovian arrival process, phase type distributed service time. 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S
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| ispartof | Operational research, 2021-06, Vol.21 (2), p.1229-1253 |
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| language | eng |
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| source | ABI/INFORM Global; Springer Nature |
| subjects | Business and Management Computational Intelligence Customers Inventory management Management Science Markov analysis Markov processes Operations Research Operations Research/Decision Theory Original Paper Poisson density functions Queues Queuing theory |
| title | On a queueing-inventory system with impatient customers, advanced reservation, cancellation, overbooking and common life time |
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