A production queueing-inventory system with two-customer and a server subject to breakdown
A queueing-inventory system where the server is subject to breakdown is examined. The products in inventory are provided by production. Two different types of customers are considered. Each customer type arrives in the system according to a Poisson process with different parameters. There is only on...
Saved in:
| Published in | Annals of operations research Vol. 331; no. 2; pp. 1089 - 1117 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer US
01.12.2023
Springer Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | A queueing-inventory system where the server is subject to breakdown is examined. The products in inventory are provided by production. Two different types of customers are considered. Each customer type arrives in the system according to a Poisson process with different parameters. There is only one server and the service time follows an exponential distribution. Service may be interrupted randomly due to breakdowns. There may be minor or major breakdowns and after the recovery process, the priority customer class gets service first. The described system is formulated as a level-dependent quasi-birth-death process (LDQBD). The stationarity condition is provided and the steady-state probabilities are calculated. A comprehensive numerical study is presented that examines the sensitivity of the performance measures to the change of system parameters and also investigates the optimal inventory policy according to the considered cost function. |
|---|---|
| AbstractList | A queueing-inventory system where the server is subject to breakdown is examined. The products in inventory are provided by production. Two different types of customers are considered. Each customer type arrives in the system according to a Poisson process with different parameters. There is only one server and the service time follows an exponential distribution. Service may be interrupted randomly due to breakdowns. There may be minor or major breakdowns and after the recovery process, the priority customer class gets service first. The described system is formulated as a level-dependent quasi-birth-death process (LDQBD). The stationarity condition is provided and the steady-state probabilities are calculated. A comprehensive numerical study is presented that examines the sensitivity of the performance measures to the change of system parameters and also investigates the optimal inventory policy according to the considered cost function. |
| Audience | Academic |
| Author | Ozkar, Serife Kocer, Umay Uzunoglu |
| Author_xml | – sequence: 1 givenname: Umay Uzunoglu orcidid: 0000-0001-5044-6236 surname: Kocer fullname: Kocer, Umay Uzunoglu email: umay.uzunoglu@deu.edu.tr organization: Department of Statistics, Dokuz Eylul University – sequence: 2 givenname: Serife surname: Ozkar fullname: Ozkar, Serife organization: Department of International Trade and Logistics, Balikesir University |
| BookMark | eNp9kcFrHCEYxaWk0E3af6AnoWdTR8dRj0to0kIgl_TSizifztbtjqbqZNn_vm43EFJKEJRP3s_H852js5iiR-hjRy87SuXn0tFeakIZJ1QwKYh-g1adkIxoztUZWlEmeiI4p-_QeSlbSmnXKbFCP9b4ISe3QA0p4t-LX3yIGxLio4815QMuh1L9jPeh_sR1nwgspabZZ2yjwxYXnx_bUJZx66HimvCYvf3l0j6-R28nuyv-w9N5gb5ff7m_-kpu726-Xa1vCXA1VAI9s1wDdP3gnebUuXEYnZIjwKgda7vjchJtBKepVAB2gnFUDuSgoZf8An06vduCtAClmm1acmyWhik9UCV7Rp9VG7vzJsQp1WxhDgXMWkrBmoyJprr8j6ot5-cA7c-n0O5fAOwEQE6lZD-Zhxxmmw-mo-ZYjTlVY1o15m81RjdI_QNBqPbYQHMLu9dRfkJL84kbn5_DvkL9ARPcpso |
| CitedBy_id | crossref_primary_10_1007_s11009_024_10117_7 crossref_primary_10_33889_IJMEMS_2024_9_5_063 crossref_primary_10_1007_s10479_023_05659_x crossref_primary_10_1109_ACCESS_2024_3446965 crossref_primary_10_1016_j_apm_2024_01_018 |
| Cites_doi | 10.1016/j.ijpe.2013.10.010 10.1007/BF02060488 10.1016/j.matcom.2018.03.001 10.1007/s40092-017-0191-0 10.5958/0974-360X.2016.00421.2 10.1007/s12597-010-0032-z 10.1016/j.ijpe.2007.12.013 10.1016/j.ijpe.2020.107696 10.1016/j.amc.2014.02.033 10.1007/s001860400369 10.1007/s10479-013-1437-x 10.1080/00207721.2013.837538 10.1007/BF01125431 10.1016/j.simpat.2020.102092 10.1007/s40819-020-00857-8 10.1080/15326340008807592 10.1016/j.peva.2018.07.003 10.1007/s001860100116 10.1080/07408179308964320 10.1007/s10479-013-1405-5 10.1007/s12351-011-0120-8 10.1016/j.ijpe.2010.10.011 10.1007/s00186-006-0085-1 10.1016/j.apm.2017.03.008 10.1080/15326349908807558 10.1007/s11134-012-9337-3 10.1016/S0305-0548(99)00128-8 10.1007/s10479-015-2041-z 10.1016/j.jkss.2015.05.002 10.1239/jap/1363784430 10.3390/math10142423 10.1155/2015/505082 10.1080/16843703.2008.11673392 10.1016/j.ejor.2018.10.027 10.1093/imaman/dpp025 10.1016/j.ejor.2013.01.041 10.1007/s10479-021-03975-8 10.1016/0304-4149(75)90033-2 10.1080/07362990600753635 10.1016/j.ifacol.2019.11.124 10.1080/15326349508807357 10.1007/s12597-020-00479-0 10.1007/s11134-006-8710-5 10.1145/1837856.1837876 10.3182/20130619-3-RU-3018.00071 |
| ContentType | Journal Article |
| Copyright | The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. COPYRIGHT 2023 Springer |
| Copyright_xml | – notice: The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. – notice: COPYRIGHT 2023 Springer |
| DBID | AAYXX CITATION 3V. 7TA 7TB 7WY 7WZ 7XB 87Z 88I 8AL 8AO 8FD 8FE 8FG 8FK 8FL ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FR3 FRNLG F~G GNUQQ HCIFZ JG9 JQ2 K60 K6~ K7- KR7 L.- L6V M0C M0N M2P M7S P5Z P62 PHGZM PHGZT PKEHL PQBIZ PQBZA PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U |
| DOI | 10.1007/s10479-023-05275-9 |
| DatabaseName | CrossRef ProQuest Central (Corporate) Materials Business File Mechanical & Transportation Engineering Abstracts ABI/INFORM Collection ABI/INFORM Global (PDF only) ProQuest Central (purchase pre-March 2016) ABI/INFORM Collection Science Database (Alumni Edition) Computing Database (Alumni Edition) ProQuest Pharma Collection Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Central Business Premium Collection Technology Collection ProQuest One Community College ProQuest Central Korea Engineering Research Database Business Premium Collection (Alumni) ABI/INFORM Global (Corporate) ProQuest Central Student SciTech Premium Collection Materials Research Database ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database Civil Engineering Abstracts ABI/INFORM Professional Advanced ProQuest Engineering Collection ABI/INFORM Global Computing Database Science Database Engineering Database Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic ProQuest One Academic Middle East (New) ProQuest One Business ProQuest One Business (Alumni) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic |
| DatabaseTitle | CrossRef Materials Research Database ProQuest Business Collection (Alumni Edition) Computer Science Database ProQuest Central Student ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection SciTech Premium Collection ProQuest Central China ABI/INFORM Complete Materials Business File ProQuest One Applied & Life Sciences ProQuest Central (New) Engineering Collection Advanced Technologies & Aerospace Collection Business Premium Collection ABI/INFORM Global Engineering Database ProQuest Science Journals (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest Business Collection ProQuest One Academic UKI Edition Engineering Research Database ProQuest One Academic ProQuest One Academic (New) ABI/INFORM Global (Corporate) ProQuest One Business Technology Collection Technology Research Database ProQuest One Academic Middle East (New) Mechanical & Transportation Engineering Abstracts ProQuest Central (Alumni Edition) ProQuest One Community College ProQuest Pharma Collection ProQuest Central ABI/INFORM Professional Advanced ProQuest Engineering Collection ProQuest Central Korea ABI/INFORM Complete (Alumni Edition) Civil Engineering Abstracts ProQuest Computing ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest Computing (Alumni Edition) ProQuest SciTech Collection Advanced Technologies & Aerospace Database Materials Science & Engineering Collection ProQuest One Business (Alumni) ProQuest Central (Alumni) Business Premium Collection (Alumni) |
| DatabaseTitleList | Materials Research Database |
| Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Computer Science Business |
| EISSN | 1572-9338 |
| EndPage | 1117 |
| ExternalDocumentID | A775208725 10_1007_s10479_023_05275_9 |
| GeographicLocations | Turkey |
| GeographicLocations_xml | – name: Turkey |
| GroupedDBID | -4X -57 -5G -BR -EM -Y2 -~C -~X .4S .86 .DC .VR 06D 0R~ 0VY 1N0 1SB 2.D 203 23M 28- 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 3V. 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 7WY 88I 8AO 8FE 8FG 8FL 8TC 8VB 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDZT ABECU ABFTV ABHLI ABHQN ABJCF ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACGOD ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACZOJ ADHHG ADHIR ADIMF ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFGCZ AFKRA AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHQJS AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ AKVCP ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARCSS ARMRJ ASPBG AVWKF AXYYD AYQZM AZFZN AZQEC B-. BA0 BAPOH BBWZM BDATZ BENPR BEZIV BGLVJ BGNMA BPHCQ BSONS CAG CCPQU COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DWQXO EBLON EBO EBS EBU EDO EIOEI EJD ESBYG FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GQ8 GROUPED_ABI_INFORM_COMPLETE GROUPED_ABI_INFORM_RESEARCH GXS H13 HCIFZ HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I-F I09 IAO IEA IHE IJ- IKXTQ ITC ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ K1G K60 K6V K6~ K7- KDC KOV KOW L6V LAK LLZTM M0C M0N M2P M4Y M7S MA- N2Q N95 N9A NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P2P P62 P9M PF0 PQBIZ PQBZA PQQKQ PROAC PT4 PT5 PTHSS Q2X QOK QOS QWB R4E R89 R9I RHV RNI RNS ROL RPX RSV RZC RZD RZK S16 S1Z S26 S27 S28 S3B SAP SBE SCF SCLPG SDH SDM SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TH9 TSG TSK TSV TUC TUS U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR Z45 Z5O Z7R Z7S Z7U Z7V Z7W Z7X Z7Y Z7Z Z81 Z83 Z88 Z8N Z8U Z92 ZL0 ZMTXR ZYFGU ~8M ~A9 ~EX AAPKM AAYXX ABBRH ABDBE ABFSG ACSTC ADHKG ADKFA AEZWR AFDZB AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP AMVHM ATHPR AYFIA CITATION ICD PHGZM PHGZT AEIIB PMFND 7TA 7TB 7XB 8AL 8FD 8FK ABRTQ FR3 JG9 JQ2 KR7 L.- PKEHL PQEST PQGLB PQUKI PRINS Q9U |
| ID | FETCH-LOGICAL-c386t-c42a39cc146ed930ddb6bd87bccb9d2ccbd37f5bcccd9078ccafcbb8dc769c473 |
| IEDL.DBID | U2A |
| ISSN | 0254-5330 |
| IngestDate | Sat Aug 23 13:18:35 EDT 2025 Tue Jun 17 22:02:14 EDT 2025 Tue Jun 10 21:06:47 EDT 2025 Tue Jul 01 01:20:16 EDT 2025 Thu Apr 24 23:08:18 EDT 2025 Fri Feb 21 02:41:07 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 2 |
| Keywords | 90B22 Bright-Taylor algorithm Server breakdown LDQBD Two types of customers 90B05 60K25 Optimization Queueing-inventory |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c386t-c42a39cc146ed930ddb6bd87bccb9d2ccbd37f5bcccd9078ccafcbb8dc769c473 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0001-5044-6236 |
| PQID | 2896087420 |
| PQPubID | 25585 |
| PageCount | 29 |
| ParticipantIDs | proquest_journals_2896087420 gale_infotracmisc_A775208725 gale_infotracacademiconefile_A775208725 crossref_primary_10_1007_s10479_023_05275_9 crossref_citationtrail_10_1007_s10479_023_05275_9 springer_journals_10_1007_s10479_023_05275_9 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 20231200 2023-12-00 20231201 |
| PublicationDateYYYYMMDD | 2023-12-01 |
| PublicationDate_xml | – month: 12 year: 2023 text: 20231200 |
| PublicationDecade | 2020 |
| PublicationPlace | New York |
| PublicationPlace_xml | – name: New York |
| PublicationTitle | Annals of operations research |
| PublicationTitleAbbrev | Ann Oper Res |
| PublicationYear | 2023 |
| Publisher | Springer US Springer Springer Nature B.V |
| Publisher_xml | – name: Springer US – name: Springer – name: Springer Nature B.V |
| References | Liu, Feng, Wong (CR30) 2014; 151 Anilkumar, Jose (CR1) 2020; 6 Baek, Bae, Lee, Ahn (CR4) 2018; 125 Krishnamoorthy, Lakshmy, Manikandan (CR24) 2011; 48 Krishnamoorthy, Narayanan (CR27) 2013; 228 Yadavalli, Sivakumar, Arivarignan (CR45) 2008; 114 Chakravarthy, Maity, Gupta (CR13) 2017; 258 Hanukov, Avinadav, Chernonog, Yechiali (CR18) 2020 Berman, Kim (CR9) 2001; 53 Berman, Sapna (CR8) 2000; 16 Baumann, Sandman (CR5) 2013; 50 Berman, Sapna (CR10) 2001; 28 Jeganathan, Reiyas, Lakshmi, Saravanan (CR19) 2019; 155 CR36 Melikov, Mirzayev, Nair (CR32) 2022; 10 Ozkar, Uzunoglu Kocer (CR37) 2021; 58 Hanukov, Avinadav, Chernonog, Yechiali (CR17) 2019; 274 Zhao, Lian (CR46) 2011; 129 Hanukov, Avinadav, Chernonog, Yechiali (CR16) 2019; 52 Shajin, Jacob, Krishnamoorthy (CR41) 2022; 315 Baek, Moon (CR3) 2016; 45 Nair, Jacob (CR33) 2015 Schwarz, Daduna (CR39) 2006; 64 Sigman, Simchi-Levi (CR42) 1992; 40 Baek, Moon (CR2) 2014; 233 Berman, Kim (CR7) 1999; 15 Melikov, Molchanov (CR31) 1992; 28 Krishnamoorthy, Narayanan (CR25) 2011; 22 Nair, Jacob, Krishnamoorthy (CR34) 2015; 233 Karthikeyan, Sudhesh (CR21) 2016; 9 Schwarz, Sauer, Daduna, Kulik, Szekli (CR40) 2006; 54 Chakravarthy, Rumyantsev (CR14) 2020; 103 Hanukov, Avinadav, Chernonog, Spiegel, Yechiali (CR15) 2017; 47 Berman, Kim (CR11) 2004; 60 Saffari, Asmussen, Haji (CR38) 2013; 75 CR23 Krishnamoorthy, Manikandan, Lakshmy (CR28) 2015; 233 Jose, Nair (CR20) 2017; 13 CR44 Tweedie (CR43) 1975; 3 Bright, Taylor (CR12) 1995; 11 Krishnamoorthy, Nair, Narayanan (CR26) 2012; 12 Narayanan, Deepak, Krishnamoorthy, Krishnakumar (CR35) 2008; 5 Krishnamoorthy, Narayanan, Deepak, Vineetha (CR22) 2006; 24 Krishnamoorthy, Nair, Narayanan (CR29) 2015; 46 Berman, Kaplan, Shevishak (CR6) 1993; 25 S Ozkar (5275_CR37) 2021; 58 D Shajin (5275_CR41) 2022; 315 G Hanukov (5275_CR18) 2020 G Hanukov (5275_CR17) 2019; 274 SR Chakravarthy (5275_CR14) 2020; 103 R Tweedie (5275_CR43) 1975; 3 JW Baek (5275_CR3) 2016; 45 O Berman (5275_CR6) 1993; 25 M Saffari (5275_CR38) 2013; 75 JW Baek (5275_CR4) 2018; 125 O Berman (5275_CR7) 1999; 15 JW Baek (5275_CR2) 2014; 233 M Liu (5275_CR30) 2014; 151 K Karthikeyan (5275_CR21) 2016; 9 5275_CR23 A Krishnamoorthy (5275_CR24) 2011; 48 5275_CR44 N Zhao (5275_CR46) 2011; 129 H Baumann (5275_CR5) 2013; 50 VC Narayanan (5275_CR35) 2008; 5 AN Nair (5275_CR34) 2015; 233 O Berman (5275_CR10) 2001; 28 G Hanukov (5275_CR15) 2017; 47 K Jeganathan (5275_CR19) 2019; 155 A Melikov (5275_CR32) 2022; 10 M Schwarz (5275_CR39) 2006; 64 O Berman (5275_CR11) 2004; 60 AZ Melikov (5275_CR31) 1992; 28 M Schwarz (5275_CR40) 2006; 54 O Berman (5275_CR9) 2001; 53 MP Anilkumar (5275_CR1) 2020; 6 A Krishnamoorthy (5275_CR29) 2015; 46 VS Yadavalli (5275_CR45) 2008; 114 A Krishnamoorthy (5275_CR28) 2015; 233 A Krishnamoorthy (5275_CR26) 2012; 12 AN Nair (5275_CR33) 2015 K Sigman (5275_CR42) 1992; 40 5275_CR36 G Hanukov (5275_CR16) 2019; 52 A Krishnamoorthy (5275_CR22) 2006; 24 A Krishnamoorthy (5275_CR27) 2013; 228 L Bright (5275_CR12) 1995; 11 A Krishnamoorthy (5275_CR25) 2011; 22 O Berman (5275_CR8) 2000; 16 KP Jose (5275_CR20) 2017; 13 SR Chakravarthy (5275_CR13) 2017; 258 |
| References_xml | – volume: 151 start-page: 180 year: 2014 end-page: 185 ident: CR30 article-title: Flexible service policies for a Markov inventory System with two demand classes publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2013.10.010 – volume: 40 start-page: 371 year: 1992 end-page: 380 ident: CR42 article-title: Light traffic heuristic for an queue with limited inventory publication-title: Annals of Operations Research doi: 10.1007/BF02060488 – volume: 155 start-page: 177 year: 2019 end-page: 200 ident: CR19 article-title: Two server Markovian inventory systems with server interruptions: Heterogeneous vs. homogeneous servers publication-title: Mathematics and Computers in Simulation doi: 10.1016/j.matcom.2018.03.001 – volume: 13 start-page: 369 year: 2017 end-page: 380 ident: CR20 article-title: Analysis of two production inventory systems with buffer, retrials and different production rates publication-title: Journal of Industrial Engineering International doi: 10.1007/s40092-017-0191-0 – volume: 9 start-page: 1451 issue: 11 year: 2016 end-page: 1461 ident: CR21 article-title: Recent review article on queueing inventory systems publication-title: Research Journal of Pharmacy and Technology doi: 10.5958/0974-360X.2016.00421.2 – volume: 48 start-page: 153 issue: 2 year: 2011 end-page: 169 ident: CR24 article-title: A survey on inventory models with positive service time publication-title: OPSEARCH doi: 10.1007/s12597-010-0032-z – volume: 114 start-page: 252 year: 2008 end-page: 264 ident: CR45 article-title: Inventory system with renewal demands at service facilities publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2007.12.013 – year: 2020 ident: CR18 article-title: A service system with perishable products where customers are either fastidious or strategic publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2020.107696 – volume: 233 start-page: 534 year: 2014 end-page: 544 ident: CR2 article-title: The queue with a production-inventory system and lost sales publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2014.02.033 – volume: 60 start-page: 497 year: 2004 end-page: 521 ident: CR11 article-title: Dynamic inventory strategies for profit maximization in a service facility with stochastic service, demand and lead time publication-title: Mathematical Methods of Operations Research doi: 10.1007/s001860400369 – volume: 233 start-page: 221 year: 2015 end-page: 236 ident: CR28 article-title: A revisit to queueing-inventory system with positive service time publication-title: Annals of Operations Research doi: 10.1007/s10479-013-1437-x – volume: 46 start-page: 1800 issue: 10 year: 2015 end-page: 1816 ident: CR29 article-title: Production inventory with service time and interruptions publication-title: International Journal of Systems Science doi: 10.1080/00207721.2013.837538 – volume: 28 start-page: 484 issue: 3 year: 1992 end-page: 487 ident: CR31 article-title: Stock optimization in transport/storage systems publication-title: Cybernetics and Systems Analysis doi: 10.1007/BF01125431 – volume: 103 start-page: 1 year: 2020 end-page: 15 ident: CR14 article-title: Analytical and simulation studies of queueing-inventory models with MAP demands in batches and positive phase type services publication-title: Simulation Modelling Practice and Theory doi: 10.1016/j.simpat.2020.102092 – volume: 6 start-page: 99 year: 2020 ident: CR1 article-title: A inventory priority queue with self induced interruption publication-title: International Journal of Applied Computational Mathematics doi: 10.1007/s40819-020-00857-8 – volume: 16 start-page: 343 issue: 3–4 year: 2000 end-page: 360 ident: CR8 article-title: Inventory management at service facilities for systems with arbitrarily distributed service times publication-title: Communications in Statistics. Stochastic Models doi: 10.1080/15326340008807592 – volume: 125 start-page: 68 year: 2018 end-page: 79 ident: CR4 article-title: Continuous-type -inventory model with an attached queue and lost sales publication-title: Performance Evaluation doi: 10.1016/j.peva.2018.07.003 – volume: 53 start-page: 371 year: 2001 end-page: 390 ident: CR9 article-title: Dynamic order replenishment policy in internet-based supply chains publication-title: Mathematical Methods of Operations Research doi: 10.1007/s001860100116 – ident: CR23 – volume: 25 start-page: 98 issue: 5 year: 1993 end-page: 104 ident: CR6 article-title: Deterministic approximations for inventory management at service facilities publication-title: IIE Transactions doi: 10.1080/07408179308964320 – volume: 233 start-page: 321 year: 2015 end-page: 333 ident: CR34 article-title: The multi server queueing inventory system publication-title: Annals of Operations Research doi: 10.1007/s10479-013-1405-5 – volume: 12 start-page: 151 year: 2012 end-page: 171 ident: CR26 article-title: An inventory model with server interruptions and retrials publication-title: Operational Research- An International Journal doi: 10.1007/s12351-011-0120-8 – volume: 129 start-page: 225 year: 2011 end-page: 231 ident: CR46 article-title: A queueing-inventory system with two classes of customers publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2010.10.011 – ident: CR44 – volume: 64 start-page: 383 year: 2006 end-page: 414 ident: CR39 article-title: Queueing systems with inventory management with random lead times and with backordering publication-title: Mathematical Methods of Operations Research doi: 10.1007/s00186-006-0085-1 – volume: 47 start-page: 276 year: 2017 end-page: 293 ident: CR15 article-title: A queueing system with decomposed service and inventoried preliminary services publication-title: Applied Mathematical Modelling doi: 10.1016/j.apm.2017.03.008 – volume: 15 start-page: 695 issue: 4 year: 1999 end-page: 718 ident: CR7 article-title: Stochastic models for inventory management at service facilities publication-title: Communications in Statistics. Stochastic Models doi: 10.1080/15326349908807558 – volume: 75 start-page: 65 year: 2013 end-page: 77 ident: CR38 article-title: The queue with inventory, lost sale, and general lead times publication-title: Queueing Systems doi: 10.1007/s11134-012-9337-3 – volume: 28 start-page: 429 year: 2001 end-page: 441 ident: CR10 article-title: Optimal control of service for facilities holding inventory publication-title: Computers & Operations Research doi: 10.1016/S0305-0548(99)00128-8 – volume: 258 start-page: 263 year: 2017 end-page: 283 ident: CR13 article-title: An inventory in a queueing system with batch service facility publication-title: Annals of Operations Research doi: 10.1007/s10479-015-2041-z – volume: 45 start-page: 14 issue: 1 year: 2016 end-page: 24 ident: CR3 article-title: A production-inventory system with a Markovian service queue and lost sales publication-title: Journal of the Korean Statistical Society doi: 10.1016/j.jkss.2015.05.002 – volume: 50 start-page: 151 year: 2013 end-page: 165 ident: CR5 article-title: Computing stationary expectations in level-dependent QBD processes publication-title: Journal of Applied Probability doi: 10.1239/jap/1363784430 – volume: 10 start-page: 2423 issue: 14 year: 2022 ident: CR32 article-title: Double sources queuing-inventory system with hybrid replenishment policy publication-title: Mathematics doi: 10.3390/math10142423 – year: 2015 ident: CR33 article-title: An Production inventory controlled self-service queuing system publication-title: Journal of Probability and Statistics doi: 10.1155/2015/505082 – volume: 5 start-page: 129 issue: 2 year: 2008 end-page: 143 ident: CR35 article-title: On an inventory policy with service time, Vacation to server and correlated lead time publication-title: Quality Technology & Quantitative Management doi: 10.1080/16843703.2008.11673392 – volume: 274 start-page: 1000 issue: 3 year: 2019 end-page: 1011 ident: CR17 article-title: Performance improvement of a service system via stocking perishable preliminary services publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2018.10.027 – volume: 22 start-page: 33 issue: 1 year: 2011 end-page: 45 ident: CR25 article-title: Production inventory with service time and vacation to the server publication-title: IMA Journal of Management Mathematics doi: 10.1093/imaman/dpp025 – volume: 228 start-page: 358 year: 2013 end-page: 366 ident: CR27 article-title: Stochastic decomposition in production inventory with service time publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2013.01.041 – volume: 315 start-page: 2089 year: 2022 end-page: 2114 ident: CR41 article-title: On a queueing inventory problem with necessary and optional inventories publication-title: Annals of Operations Research doi: 10.1007/s10479-021-03975-8 – volume: 3 start-page: 385 issue: 4 year: 1975 end-page: 403 ident: CR43 article-title: Sufficient conditions for egodicity and reccurrence of Markov chains on a general state space publication-title: Stochastic Processes and their Applications doi: 10.1016/0304-4149(75)90033-2 – volume: 24 start-page: 889 year: 2006 end-page: 899 ident: CR22 article-title: Control policies for inventory systems publication-title: Stochastic Analysis and Applications doi: 10.1080/07362990600753635 – ident: CR36 – volume: 52 start-page: 671 issue: 13 year: 2019 end-page: 676 ident: CR16 article-title: A multi-server queueing-inventory system with stock-dependent demand publication-title: IFAC-PapersOnLine doi: 10.1016/j.ifacol.2019.11.124 – volume: 11 start-page: 497 issue: 3 year: 1995 end-page: 525 ident: CR12 article-title: Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes publication-title: Communications in Statistics. Stochastic Models doi: 10.1080/15326349508807357 – volume: 58 start-page: 234 year: 2021 end-page: 256 ident: CR37 article-title: Two-commodity queueing-inventory system with two classes of customers publication-title: OPSEARCH doi: 10.1007/s12597-020-00479-0 – volume: 54 start-page: 55 year: 2006 end-page: 78 ident: CR40 article-title: queueing systems with inventory publication-title: Queueing Systems doi: 10.1007/s11134-006-8710-5 – volume: 13 start-page: 369 year: 2017 ident: 5275_CR20 publication-title: Journal of Industrial Engineering International doi: 10.1007/s40092-017-0191-0 – volume: 22 start-page: 33 issue: 1 year: 2011 ident: 5275_CR25 publication-title: IMA Journal of Management Mathematics doi: 10.1093/imaman/dpp025 – volume: 28 start-page: 484 issue: 3 year: 1992 ident: 5275_CR31 publication-title: Cybernetics and Systems Analysis doi: 10.1007/BF01125431 – year: 2015 ident: 5275_CR33 publication-title: Journal of Probability and Statistics doi: 10.1155/2015/505082 – volume: 45 start-page: 14 issue: 1 year: 2016 ident: 5275_CR3 publication-title: Journal of the Korean Statistical Society doi: 10.1016/j.jkss.2015.05.002 – volume: 103 start-page: 1 year: 2020 ident: 5275_CR14 publication-title: Simulation Modelling Practice and Theory doi: 10.1016/j.simpat.2020.102092 – volume: 16 start-page: 343 issue: 3–4 year: 2000 ident: 5275_CR8 publication-title: Communications in Statistics. Stochastic Models doi: 10.1080/15326340008807592 – volume: 151 start-page: 180 year: 2014 ident: 5275_CR30 publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2013.10.010 – volume: 58 start-page: 234 year: 2021 ident: 5275_CR37 publication-title: OPSEARCH doi: 10.1007/s12597-020-00479-0 – volume: 125 start-page: 68 year: 2018 ident: 5275_CR4 publication-title: Performance Evaluation doi: 10.1016/j.peva.2018.07.003 – ident: 5275_CR36 – volume: 52 start-page: 671 issue: 13 year: 2019 ident: 5275_CR16 publication-title: IFAC-PapersOnLine doi: 10.1016/j.ifacol.2019.11.124 – volume: 28 start-page: 429 year: 2001 ident: 5275_CR10 publication-title: Computers & Operations Research doi: 10.1016/S0305-0548(99)00128-8 – volume: 233 start-page: 221 year: 2015 ident: 5275_CR28 publication-title: Annals of Operations Research doi: 10.1007/s10479-013-1437-x – volume: 15 start-page: 695 issue: 4 year: 1999 ident: 5275_CR7 publication-title: Communications in Statistics. Stochastic Models doi: 10.1080/15326349908807558 – volume: 228 start-page: 358 year: 2013 ident: 5275_CR27 publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2013.01.041 – volume: 233 start-page: 534 year: 2014 ident: 5275_CR2 publication-title: Applied Mathematics and Computation doi: 10.1016/j.amc.2014.02.033 – volume: 129 start-page: 225 year: 2011 ident: 5275_CR46 publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2010.10.011 – volume: 12 start-page: 151 year: 2012 ident: 5275_CR26 publication-title: Operational Research- An International Journal doi: 10.1007/s12351-011-0120-8 – volume: 10 start-page: 2423 issue: 14 year: 2022 ident: 5275_CR32 publication-title: Mathematics doi: 10.3390/math10142423 – ident: 5275_CR23 doi: 10.1145/1837856.1837876 – volume: 258 start-page: 263 year: 2017 ident: 5275_CR13 publication-title: Annals of Operations Research doi: 10.1007/s10479-015-2041-z – volume: 3 start-page: 385 issue: 4 year: 1975 ident: 5275_CR43 publication-title: Stochastic Processes and their Applications doi: 10.1016/0304-4149(75)90033-2 – volume: 64 start-page: 383 year: 2006 ident: 5275_CR39 publication-title: Mathematical Methods of Operations Research doi: 10.1007/s00186-006-0085-1 – volume: 9 start-page: 1451 issue: 11 year: 2016 ident: 5275_CR21 publication-title: Research Journal of Pharmacy and Technology doi: 10.5958/0974-360X.2016.00421.2 – volume: 315 start-page: 2089 year: 2022 ident: 5275_CR41 publication-title: Annals of Operations Research doi: 10.1007/s10479-021-03975-8 – volume: 53 start-page: 371 year: 2001 ident: 5275_CR9 publication-title: Mathematical Methods of Operations Research doi: 10.1007/s001860100116 – volume: 60 start-page: 497 year: 2004 ident: 5275_CR11 publication-title: Mathematical Methods of Operations Research doi: 10.1007/s001860400369 – volume: 46 start-page: 1800 issue: 10 year: 2015 ident: 5275_CR29 publication-title: International Journal of Systems Science doi: 10.1080/00207721.2013.837538 – volume: 47 start-page: 276 year: 2017 ident: 5275_CR15 publication-title: Applied Mathematical Modelling doi: 10.1016/j.apm.2017.03.008 – ident: 5275_CR44 doi: 10.3182/20130619-3-RU-3018.00071 – volume: 50 start-page: 151 year: 2013 ident: 5275_CR5 publication-title: Journal of Applied Probability doi: 10.1239/jap/1363784430 – volume: 25 start-page: 98 issue: 5 year: 1993 ident: 5275_CR6 publication-title: IIE Transactions doi: 10.1080/07408179308964320 – volume: 274 start-page: 1000 issue: 3 year: 2019 ident: 5275_CR17 publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2018.10.027 – volume: 40 start-page: 371 year: 1992 ident: 5275_CR42 publication-title: Annals of Operations Research doi: 10.1007/BF02060488 – year: 2020 ident: 5275_CR18 publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2020.107696 – volume: 48 start-page: 153 issue: 2 year: 2011 ident: 5275_CR24 publication-title: OPSEARCH doi: 10.1007/s12597-010-0032-z – volume: 233 start-page: 321 year: 2015 ident: 5275_CR34 publication-title: Annals of Operations Research doi: 10.1007/s10479-013-1405-5 – volume: 54 start-page: 55 year: 2006 ident: 5275_CR40 publication-title: Queueing Systems doi: 10.1007/s11134-006-8710-5 – volume: 24 start-page: 889 year: 2006 ident: 5275_CR22 publication-title: Stochastic Analysis and Applications doi: 10.1080/07362990600753635 – volume: 5 start-page: 129 issue: 2 year: 2008 ident: 5275_CR35 publication-title: Quality Technology & Quantitative Management doi: 10.1080/16843703.2008.11673392 – volume: 6 start-page: 99 year: 2020 ident: 5275_CR1 publication-title: International Journal of Applied Computational Mathematics doi: 10.1007/s40819-020-00857-8 – volume: 114 start-page: 252 year: 2008 ident: 5275_CR45 publication-title: International Journal of Production Economics doi: 10.1016/j.ijpe.2007.12.013 – volume: 75 start-page: 65 year: 2013 ident: 5275_CR38 publication-title: Queueing Systems doi: 10.1007/s11134-012-9337-3 – volume: 11 start-page: 497 issue: 3 year: 1995 ident: 5275_CR12 publication-title: Communications in Statistics. Stochastic Models doi: 10.1080/15326349508807357 – volume: 155 start-page: 177 year: 2019 ident: 5275_CR19 publication-title: Mathematics and Computers in Simulation doi: 10.1016/j.matcom.2018.03.001 |
| SSID | ssj0001185 |
| Score | 2.4179547 |
| Snippet | A queueing-inventory system where the server is subject to breakdown is examined. The products in inventory are provided by production. Two different types of... |
| SourceID | proquest gale crossref springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 1089 |
| SubjectTerms | Breakdown Business and Management Combinatorics Cost function Customer services Customers Inventory control Inventory management Markov processes Operations research Operations Research/Decision Theory Original Research Parameter sensitivity Probability Probability distribution Probability distribution functions Queuing theory Random variables Theory of Computation |
| SummonAdditionalLinks | – databaseName: ProQuest Central dbid: BENPR link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3da9swED-2FMb6sK7ZRrOlQw-FPaxirmxZ1tPISkoZrIyxQtmLsE4ylG1xmjiU_fc72XKydLQvBlmyLPSTTnen-wA4KqWjQ8hK7nSCQXVzwm0miBgKrFLhfWp1cBT-cpGfX2afr-RVVLgto1llTxNbQu1qDDryDyQY5ElBglzycX7DQ9aocLsaU2g8hh0iwUUxgJ1P04uv39a0mNjn1oiRxCAe7Cij20x0nqOhcTqzeCKFklxvHU13CfR_N6XtAXT2HJ5FzpFNOqj34ZGfDeFJb7g-hL0-QQOL-3UIu_9EG3wBPyZs3sV3JSwY_W7l6T2_bs3O68Uf1kV1ZkE1y5rbmuOKOMPf1GE5c6xkQX9LheXKBt0Na2pG4nT505Ec_xIuz6bfT895TK3AMS3yhmMmylQjEp30TqeJcza3rlAW0Won6OlSVUkqIoGoCsK5QmsLhyrXmKn0FQxm9cwfAKtkZpW2FbECWZZ4bWkurU0rYoy8EokfwUk_qwZj3PGQ_uKX2URMDkgYQsK0SBg9gvfrb-Zd1I0HW78LYJmwJalnLKNnAY0vBLcyE6WkoLUj5AjGWy1pK-F2dQ-3iVt5aTYLbwTH_RLYVN8_rNcP9_YGnobU9Z1pzBgGzWLlD4nBaezbuIr_ArJG94I priority: 102 providerName: ProQuest |
| Title | A production queueing-inventory system with two-customer and a server subject to breakdown |
| URI | https://link.springer.com/article/10.1007/s10479-023-05275-9 https://www.proquest.com/docview/2896087420 |
| Volume | 331 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlR3batsw9LAmUNqHXdKOZsuCHgp7aAWubFnWozOSho2FMhZI-yKsi6FsS0LiUPr3O_KlTdZ1sBcLWbIsdHRu0rkAnGbcIhPSnFoZGH90c0F1xJAYMpOHzLlQS-8o_HUSj6fR5xmf1U5h68bavbmSLCn1lrMbDkWRx9CAM8Gp3IM2R93dG3JNWfpAf1FkLg0XUfWh3naydpX5-xg77OhPovzkdrRkOqPX8LKWFklagfcNvHDzDuw3xuodeNUkZSA1jnbgcCvC4BHcpGRZxXTF9Sf4u43D9_S2NDVfrO5JFcmZ-ONYUtwtqNmgNPgLB8zmlmTEn9liZb3R_ryGFAuCKnT2w6LufgzT0fD7pzGt0ylQEyZxQU3EslAag7TRWRkG1upY20RoY7S0DJ82FDnHqkHAiQRhmxutE2tELE0kwrfQmi_m7gRIziMtpM6R_UdR4KTGtdQ6zFEYcoIFrgsXzaoqU8ca9ykvfqrHKMkeEgohoUpIKNmFs4dvllWkjX_2_uiBpTwa4sgmq70JcH4-oJVKhcC9kQjGu9Db6YnoY3abG3CrGn3XCrXQGFsjFnThvNkCj83PT-vd_3V_Dwc-fX1lHtODVrHauA8o5BS6D3vJ6LIP7XQ0GEx8eXn9ZYjlYDi5-tYvd_xvnEL4oQ |
| linkProvider | Springer Nature |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtR3JbtQw9Km0EsuhhaGoQ1vwAcQBrKZ2HMcHhEaUYUqXUytVXNx4iYSAZNrJaNSf6jf2OUuHAdFbL5EcO47j9_I2vwXgTSYcMiEjqFORDaabXWpihsSQ2Zwz77lRIVD46DgZncbfzsTZElx3sTDBrbKjiTWhdqUNNvIdVAySKEVFLvo0vqChalQ4Xe1KaDRoceCvZqiyTT7u7yF83zI2_HLyeUTbqgLU8jSpqI1ZxpW1SCK8UzxyziTGpdJYa5RjeHVc5gKbFtcvU_zE3BqTOisTZWPJcd4HsBJz5OQhMn349Zbyo7Beu0yi0kWD12YbpNOG6uFGUOSQNBJMCqoWGOHf7OCfc9ma3Q2fwmorp5JBg1jPYMkXPXjYucn3YK0rB0Fa6tCDJ3_kNnwO3wdk3GSTRcgTfN3U4336o3ZyLy-vSJNDmgRDMKlmJbVTlEN_44RZ4UhGgrUYG5OpCZYiUpUElffspytnxTqc3suWv4Dloiz8BpBcxEYqk6PgEceRVwb30hieoxjmJYt8H3a7XdW2zXIeim380vP8zAESGiGha0ho1Yf3t8-Mmxwfd45-F4ClAwHAmW3WxjHg-kIqLT2QUjDEVCb6sLUwEn9cu9jdgVu3hGOi52jehw8dCsy7_7-sl3fP9hoejU6ODvXh_vHBJjxmARFrp5wtWK4up34bRavKvKrxmcD5ff9AN2aVN2k |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtR3LbtQwcFS2UgUHHguIpQV8AHEAq6kTx_EBoYV21VJYVYhKFRc3fkRCbZNtN6tVf61fxzhxuiyI3nqJ5MRxYs94Xp4HwOucW2RCmlMrI-NNN1tUJwyJITNFzJyLtfSBwt_G6e5h8uWIH63AVRcL490qO5rYEGpbGW8j30TFII0yVOSizSK4RRxsjz5OzqmvIOVPWrtyGi2K7LvLOapv0w972wjrN4yNdn583qWhwgA1cZbW1CQsj6UxSC6clXFkrU61zYQ2RkvL8GpjUXBsGpyLyHC6hdE6s0ak0iQixnHvwKrwWlEPVj_tjA--X_MBFN0bB0pUwaj34QwhOyFwD5eFIr-kEWeCU7nEFv9mDv-c0jbMb_QQ7geplQxbNHsEK67sw1rnNN-HB11xCBJoRR_u_ZHp8DH8HJJJm1sW8YDg52YO79Nfjct7dXFJ2ozSxJuFST2vqJmhVHqGA-alJTnxtmNsTGfa241IXRFU5fMTW83LJ3B4K4v-FHplVbpnQAqeaCF1gWJIkkROalxLreMChTInWOQGsNWtqjIh57kvvXGqFtmaPSQUQkI1kFByAO-u35m0GT9u7P3WA0t5coAjmzxENeD_-cRaaigEZ4i3jA9gY6knbmOz_LgDtwpkZKoWSD-A9x0KLB7__7ee3zzaK1jDzaO-7o331-Eu83jYeOhsQK--mLkXKGfV-mVAaALHt72HfgP4Szz7 |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+production+queueing-inventory+system+with+two-customer+and+a+server+subject+to+breakdown&rft.jtitle=Annals+of+operations+research&rft.au=Kocer%2C+Umay+Uzunoglu&rft.au=Ozkar%2C+Serife&rft.date=2023-12-01&rft.pub=Springer&rft.issn=0254-5330&rft.volume=331&rft.issue=2&rft.spage=1089&rft_id=info:doi/10.1007%2Fs10479-023-05275-9&rft.externalDocID=A775208725 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0254-5330&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0254-5330&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0254-5330&client=summon |