Analysis of the ΣPhi/Ph/1 Queue
In this paper, we analyze a queue to which the arrival process is the superposition of separate arrival streams, each of whose interarrival time distributions is of phase type, and the service time distribution is also of phase type. The performance measures derived for this queue include: the distr...
Gespeichert in:
| Veröffentlicht in: | Operations research Jg. 42; H. 1; S. 158 - 174 |
|---|---|
| Hauptverfasser: | , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Linthicum, MD
INFORMS
01.01.1994
Operations Research Society of America Institute for Operations Research and the Management Sciences |
| Schlagworte: | |
| ISSN: | 0030-364X, 1526-5463 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | In this paper, we analyze a queue to which the arrival process is the superposition of separate arrival streams, each of whose interarrival time distributions is of phase type, and the service time distribution is also of phase type. The performance measures derived for this queue include: the distribution of the number in the system as seen by each customer class upon arrival, Laplace-Stieltjes transform (LST) of the waiting-time distribution for each customer class, stationary interdeparture time distribution and the lag correlation coefficients of the departure process, and characteristics of the tails of the waiting time and queue length distributions. |
|---|---|
| AbstractList | In this paper, we analyze a queue to which the arrival process is the superposition of separate arrival streams, each of whose interarrival time distributions is of phase type, and the service time distribution is also of phase type. The performance measures derived for this queue include: the distribution of the number in the system as seen by each customer class upon arrival, Laplace-Stieltjes transform (LST) of the waiting-time distribution for each customer class, stationary interdeparture time distribution and the lag correlation coefficients of the departure process, and characteristics of the tails of the waiting time and queue length distributions. A queue is examined to which the arrival process is the superposition of separate arrival streams, each of whose interarrival time distributions is of phase type, and the service time distribution is also of phase type. The performance measures derived for this queue include: 1. the distribution of the number in the system as seen by each customer class upon arrival, 2. Laplace-Stieltjes transform of the waiting-time distribution for each customer class, 3. stationary interdeparture time distribution and the lag correlation coefficients of the departure process, and 4. characteristics of the tails of the waiting time and queue length distributions. |
| Author | Bitran, Gabriel R. Dasu, Sriram |
| Author_xml | – sequence: 1 givenname: Gabriel R. surname: Bitran fullname: Bitran, Gabriel R. – sequence: 2 givenname: Sriram surname: Dasu fullname: Dasu, Sriram |
| BackLink | http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=4084783$$DView record in Pascal Francis |
| BookMark | eNqFkMtKw0AYhQepYFtdunITxKVJ556ZZSneQLCCgrthMpnQKWmmziSLPo_v4zOZkoogiKt_cb7z8XMmYNT4xgJwjmCGsMhnfhtsRnGGMsTEERgjhnnKKCcjMIaQwJRw-nYCJjGuIYSScTYGybzR9S66mPgqaVc2-fxYrtxsuZqh5LmznT0Fx5Wuoz073Cl4vb15Wdynj093D4v5Y2qwgG3KYAk1MhQX0iLIpSWl1ZjCAgtsudAFg4aUha5yTqWWJZGSam6gRYZhYwsyBZeDdxv8e2djq9a-C_1zUWEkEWWSiB66OkA6Gl1XQTfGRbUNbqPDTlEoaC5Ij5EBM8HHGGyljGt163zTBu1qhaDaD6b2gymKFVL9YH0r_dX69v7FXwz8OrY-_MA5YgT36fWQuqbyYRP_kX0BDPmGDg |
| CODEN | OPREAI |
| CitedBy_id | crossref_primary_10_1016_S0377_2217_97_00099_4 crossref_primary_10_1007_BF01149174 crossref_primary_10_1016_j_cor_2024_106867 crossref_primary_10_1287_mnsc_48_2_241_255 crossref_primary_10_1016_S0377_2217_99_00174_5 crossref_primary_10_1016_S0166_5316_02_00091_3 crossref_primary_10_1023_A_1010037400622 crossref_primary_10_3390_math12091362 crossref_primary_10_3401_poms_1080_0011 crossref_primary_10_1016_S0166_5316_00_00058_4 |
| ContentType | Journal Article |
| Copyright | Copyright 1994 The Operations Research Society of America 1994 INIST-CNRS Copyright Institute for Operations Research and the Management Sciences Jan/Feb 1994 |
| Copyright_xml | – notice: Copyright 1994 The Operations Research Society of America – notice: 1994 INIST-CNRS – notice: Copyright Institute for Operations Research and the Management Sciences Jan/Feb 1994 |
| DBID | AAYXX CITATION IQODW 3V. 7WY 7WZ 7X7 7XB 87Z 88E 88F 8AL 8AO 8FE 8FG 8FI 8FJ 8FK 8FL 8G5 ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FRNLG FYUFA F~G GHDGH GNUQQ GUQSH HCIFZ JQ2 K60 K6~ K7- K9. L.- L6V M0C M0N M0S M1P M1Q M2O M7S MBDVC P5Z P62 PHGZM PHGZT PJZUB PKEHL PPXIY PQBIZ PQBZA PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U |
| DOI | 10.1287/opre.42.1.158 |
| DatabaseName | CrossRef Pascal-Francis ProQuest Central (Corporate) ProQuest ABI/INFORM Collection ABI/INFORM Global (PDF only) Health & Medical Collection ProQuest Central (purchase pre-March 2016) ABI/INFORM Collection Medical Database (Alumni Edition) Military Database (Alumni Edition) Computing Database (Alumni Edition) ProQuest Pharma Collection ProQuest SciTech Collection ProQuest Technology Collection Hospital Premium Collection Hospital Premium Collection (Alumni Edition) ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni) Research Library ProQuest Materials Science & Engineering ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials ProQuest Central Business Premium Collection (Proquest) Technology collection ProQuest One ProQuest Central Business Premium Collection (Alumni) Health Research Premium Collection ABI/INFORM Global (Corporate) Health Research Premium Collection (Alumni) ProQuest Central Student Research Library Prep SciTech Premium Collection ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database ProQuest Health & Medical Complete (Alumni) ABI/INFORM Professional Advanced ProQuest Engineering Collection ABI/INFORM Global Computing Database ProQuest Health & Medical Collection PML(ProQuest Medical Library) Military Database Research Library Engineering Database Research Library (Corporate) Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic ProQuest Health & Medical Research Collection ProQuest One Academic Middle East (New) ProQuest One Health & Nursing ProQuest One Business (UW System Shared) ProQuest One Business (Alumni) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic |
| DatabaseTitle | CrossRef ProQuest Business Collection (Alumni Edition) Research Library Prep Computer Science Database ProQuest Central Student ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection SciTech Premium Collection ProQuest Military Collection ProQuest Central China ABI/INFORM Complete ProQuest One Applied & Life Sciences Health Research Premium Collection Health & Medical Research Collection ProQuest Central (New) ProQuest Medical Library (Alumni) Engineering Collection Advanced Technologies & Aerospace Collection Business Premium Collection ABI/INFORM Global Engineering Database ProQuest One Academic Eastern Edition ProQuest Hospital Collection ProQuest Technology Collection Health Research Premium Collection (Alumni) ProQuest Business Collection ProQuest Hospital Collection (Alumni) ProQuest Health & Medical Complete ProQuest One Academic UKI Edition ProQuest One Academic ProQuest One Academic (New) ABI/INFORM Global (Corporate) ProQuest One Business Technology Collection ProQuest One Academic Middle East (New) ProQuest Health & Medical Complete (Alumni) ProQuest Central (Alumni Edition) ProQuest One Community College ProQuest One Health & Nursing Research Library (Alumni Edition) ProQuest Pharma Collection ProQuest Central ABI/INFORM Professional Advanced ProQuest Health & Medical Research Collection ProQuest Engineering Collection Health and Medicine Complete (Alumni Edition) ProQuest Central Korea ProQuest Research Library ABI/INFORM Complete (Alumni Edition) ProQuest Computing ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Computing (Alumni Edition) ProQuest Military Collection (Alumni Edition) ProQuest SciTech Collection Advanced Technologies & Aerospace Database ProQuest Medical Library Materials Science & Engineering Collection ProQuest One Business (Alumni) ProQuest Central (Alumni) Business Premium Collection (Alumni) |
| DatabaseTitleList | ProQuest Business Collection (Alumni Edition) CrossRef |
| Database_xml | – sequence: 1 dbid: BENPR name: ProQuest Central url: https://www.proquest.com/central sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Sciences (General) Computer Science Business Applied Sciences |
| EISSN | 1526-5463 |
| EndPage | 174 |
| ExternalDocumentID | 704270 4084783 10_1287_opre_42_1_158 171532 opre.42.1.158 |
| Genre | Research Article |
| GroupedDBID | 02 08R 123 1AW 1OL 29N 2AX 3V. 4.4 7WY 7X7 85S 88E 8AL 8AO 8FE 8FG 8FI 8FJ 8FL 8G5 8V8 92 AABCJ ABBHK ABDEX ABEFU ABJCF ABPPZ ABSIS ABUWG ACDCL ACHQT ACIWK ACNCT ACUWV ACVYA ADBBV ADGDI ADNFJ AENEX AETEA AEUPB AFFNX AFKRA AJPNJ AKVCP ALMA_UNASSIGNED_HOLDINGS AQNXB AQSKT ARAPS AZQEC B-7 BBAFP BENPR BEZIV BGLVJ BPHCQ BVXVI CBXGM CCKSF CS3 CWXUR CYVLN DWQXO DZ EBA EBE EBO EBR EBS EBU ECR EHE EJD EMI EMK EPL F20 F5P FH7 FRNLG FYUFA G8K GENNL GNUQQ GROUPED_ABI_INFORM_COMPLETE GROUPED_ABI_INFORM_RESEARCH GUPYA GUQSH HCIFZ HGD HVGLF H~9 IAO ICJ IEA IGG IOF ITC JAV JBC JPL JSODD JST K6 K60 K6V K7- L6V LI M0C M0N M1P M1Q M2O M7S MBDVC MV1 N95 NIEAY P2P P62 PQEST PQQKQ PQUKI PRG PROAC PSQYO PTHSS QVA RNS RPU SA0 TAE TH9 TN5 U5U VQA WH7 X XFK XHC XI7 XJT XXP Y99 YHZ YNT YZZ ZCG ZY4 -DZ -~X 18M AAAZS AAWTO AAXLS AAYOK ABAWQ ABDPE ABKVW ABLWH ABWPA ABXSQ ABYYQ ACGFO ACHJO ACXJH ADEPB ADMHG ADULT AEGXH AFAIT AFTQD AGKTX AHAJD AHQJS AIAGR ALIPV APTMU ASMEE CCPQU HMCUK IPSME JAAYA JBMMH JBZCM JENOY JHFFW JKQEH JLEZI JLXEF JPPEU K1G K6~ PHGZM PHGZT PQBIZ PQBZA UKHRP XOL XSW YYP ~02 AADHG AAYXX ACSVP ADMHC ADNWM AEMOZ AFFHD BAAKF CITATION HF~ PJZUB PPXIY PQGLB ~92 ABTAH IQODW 7XB 8FK JQ2 K9. L.- PKEHL PRINS Q9U |
| ID | FETCH-LOGICAL-c280t-50d0a1c42b9e1069e3dea240b282e68ab50c3dbaf7649a9d3994a6c0e1c52ceb3 |
| IEDL.DBID | K7- |
| ISICitedReferencesCount | 12 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=10_1287_opre_42_1_158&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0030-364X |
| IngestDate | Mon Oct 06 17:44:34 EDT 2025 Wed Apr 02 07:10:57 EDT 2025 Sat Nov 29 01:36:25 EST 2025 Tue Nov 18 22:07:11 EST 2025 Thu Jun 19 15:56:13 EDT 2025 Tue Jan 05 23:28:36 EST 2021 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Markov chain Queue length Departure process Queue Waiting time |
| Language | English |
| License | CC BY 4.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c280t-50d0a1c42b9e1069e3dea240b282e68ab50c3dbaf7649a9d3994a6c0e1c52ceb3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 content type line 14 |
| PQID | 219145938 |
| PQPubID | 37962 |
| PageCount | 17 |
| ParticipantIDs | jstor_primary_171532 crossref_citationtrail_10_1287_opre_42_1_158 pascalfrancis_primary_4084783 proquest_journals_219145938 informs_primary_10_1287_opre_42_1_158 crossref_primary_10_1287_opre_42_1_158 |
| ProviderPackageCode | Y99 RPU NIEAY |
| PublicationCentury | 1900 |
| PublicationDate | 1994-01-01 |
| PublicationDateYYYYMMDD | 1994-01-01 |
| PublicationDate_xml | – month: 01 year: 1994 text: 1994-01-01 day: 01 |
| PublicationDecade | 1990 |
| PublicationPlace | Linthicum, MD |
| PublicationPlace_xml | – name: Linthicum, MD – name: Linthicum |
| PublicationTitle | Operations research |
| PublicationYear | 1994 |
| Publisher | INFORMS Operations Research Society of America Institute for Operations Research and the Management Sciences |
| Publisher_xml | – name: INFORMS – name: Operations Research Society of America – name: Institute for Operations Research and the Management Sciences |
| SSID | ssj0009565 |
| Score | 1.4770181 |
| Snippet | In this paper, we analyze a queue to which the arrival process is the superposition of separate arrival streams, each of whose interarrival time distributions... A queue is examined to which the arrival process is the superposition of separate arrival streams, each of whose interarrival time distributions is of phase... |
| SourceID | proquest pascalfrancis crossref jstor informs |
| SourceType | Aggregation Database Index Database Enrichment Source Publisher |
| StartPage | 158 |
| SubjectTerms | Algorithms algorithms: algorithms for analyzing the ΣPhi/Ph/1 queue Applied sciences Approximation approximations: for departure processes birth-death: quasibirth-death processes Covariance Customers Eigenvalues Eigenvectors Exact sciences and technology Markov chains Mathematical moments Matrices Operational research and scientific management Operational research. Management science Operations research Performance metrics Queueing networks queues Queuing theory Queuing theory. Traffic theory Studies |
| Title | Analysis of the ΣPhi/Ph/1 Queue |
| URI | https://www.jstor.org/stable/171532 https://www.proquest.com/docview/219145938 |
| Volume | 42 |
| WOSCitedRecordID | wos10_1287_opre_42_1_158&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVPQU databaseName: ABI/INFORM Global customDbUrl: eissn: 1526-5463 dateEnd: 19961231 omitProxy: false ssIdentifier: ssj0009565 issn: 0030-364X databaseCode: M0C dateStart: 19870701 isFulltext: true titleUrlDefault: https://search.proquest.com/abiglobal providerName: ProQuest – providerCode: PRVPQU databaseName: Advanced Technologies & Aerospace Database customDbUrl: eissn: 1526-5463 dateEnd: 19961231 omitProxy: false ssIdentifier: ssj0009565 issn: 0030-364X databaseCode: P5Z dateStart: 19870701 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: Computer Science Database customDbUrl: eissn: 1526-5463 dateEnd: 19961231 omitProxy: false ssIdentifier: ssj0009565 issn: 0030-364X databaseCode: K7- dateStart: 19870701 isFulltext: true titleUrlDefault: http://search.proquest.com/compscijour providerName: ProQuest – providerCode: PRVPQU databaseName: Engineering Database customDbUrl: eissn: 1526-5463 dateEnd: 19961231 omitProxy: false ssIdentifier: ssj0009565 issn: 0030-364X databaseCode: M7S dateStart: 19870701 isFulltext: true titleUrlDefault: http://search.proquest.com providerName: ProQuest – providerCode: PRVPQU databaseName: Health & Medical Collection customDbUrl: eissn: 1526-5463 dateEnd: 19961231 omitProxy: false ssIdentifier: ssj0009565 issn: 0030-364X databaseCode: 7X7 dateStart: 19870701 isFulltext: true titleUrlDefault: https://search.proquest.com/healthcomplete providerName: ProQuest – providerCode: PRVPQU databaseName: Military Database customDbUrl: eissn: 1526-5463 dateEnd: 19961231 omitProxy: false ssIdentifier: ssj0009565 issn: 0030-364X databaseCode: M1Q dateStart: 19870701 isFulltext: true titleUrlDefault: https://search.proquest.com/military providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest ABI/INFORM Collection customDbUrl: eissn: 1526-5463 dateEnd: 19961231 omitProxy: false ssIdentifier: ssj0009565 issn: 0030-364X databaseCode: 7WY dateStart: 19870701 isFulltext: true titleUrlDefault: https://www.proquest.com/abicomplete providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1526-5463 dateEnd: 19961231 omitProxy: false ssIdentifier: ssj0009565 issn: 0030-364X databaseCode: BENPR dateStart: 19870701 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: Research Library customDbUrl: eissn: 1526-5463 dateEnd: 19961231 omitProxy: false ssIdentifier: ssj0009565 issn: 0030-364X databaseCode: M2O dateStart: 19870701 isFulltext: true titleUrlDefault: https://search.proquest.com/pqrl providerName: ProQuest |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1Bb9MwFH5iG6BxYKwDrRurfBgIJNLGjhPbJwTTJiSgBAai2yWyHYdV2tpt6fj9-DVOKULAgcs7xO-Q5LP93rOfvg9gXzBrZUKTiAkrI260igxeFxohMuukEaxB-p0YDuVopPLQm1OHtsp2T5xv1OXU4hn5gCERWaoS-fLyKkLRKLxcDQoaK7BGGaM4zd-KaIlzN2sEDBK_1WR8FCg2fY0wQIWRPmd92qco9r4Uku40hKV125-IzZK69v-raoQuftuz54HoaOM_P-EB3A8ZKHnVTJlNuOUmHbjbNsB3YKMVeiBh3Xfg3hJrYQc2w_OaPAuk1c-3YL9lNyHTivikkhyPv11okp-NB_nZgBL_njfuIXw5Ovx88CYKCgyRZTKeRWlcxppazoxyvnZULimd9jmA8YWay6Q2aWyT0uhKZFxpVfpsh-vMxo7alFlfpz-C1cl04raByIzrqlJKC2c4L5XGWkwzkbrST5es7MKLFoTCBnpyVMk4L7BM8ZgViFnBWUELj1kXni7cLxtejj85PgmI_stva473Ty_hgwHrwt4v8C-Geezjuky6sNtiXYTVXxcLoHf-OroL6w0zMx7oPIbV2fWN24Pb9vtsXF_3YEV8PUE7Ej1Ye304zD_15vPb2_fxAVr6ES37gFYce5unpz8AuKEB8A |
| linkProvider | ProQuest |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1db9MwFL0a42s8MNYxrYyBHzYEEmkTx4ntB4QQMG1aVxWxSX0ztuOwSqwdSwfiR_EfuW7iUoSApz3wGluRYp_7Zd-cA7DDqbUiTdKIcisiZrSMjL8uNJzn1gnDab3TPd7vi-FQDpbge_gXxrdVBp84c9TFxPoz8i71RGSZTMXL88-RF43yl6tBQaNGxaH79hUrturFwRvc3l1K994ev96PGlGByFIRT6MsLmKdWEaNdFgOSZcWTmNYM1h7uFxok8U2LYwuec6klgUGcKZzG7vEZtRi6YnvvQbXGSY63qCOkncLHL95LZiQomvL2bCh9MSapOsVTTqMdpJO4sXlF0LgzZogtQr9kL45U1e4P2UtrPFbjJgFvr3V_2zJ7sHdJsMmr2qTWIMlN27BrdDg34LVIGRBGr_WgjsLrIwtWGueV-RpQ8r9bB12AnsLmZQEk2byfvTxTJPB6ag7OO0mBNfl0t2Hkyv5sg1YHk_GbhOIyJkuSyk1d4axQmpfa2rKM1egOeRFG56HTVe2oV_3KiCflC_DECPKY0QxqhKFGGnDk_n085p35E8TdxsE_Wve-gxfP2dxDHa0Ddu_wG0-zGLMW0Tahq2ALdV4t0rNgfXgr6OP4fb-8VFP9Q76h1uwUrNQ-8Orh7A8vbh023DDfpmOqotHMzsi8OGqUfgDCJZX9A |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Rb9MwED6NARM8MNYxUcbADxsCiTSJ48T2A0KIUTF1qioBUt88x3FYpdGOpQPx0_h3nBu7FCHgaQ-8xqdIsb-789mX7wPY59QYkaVZRLkRESu1jEp3XVhyXhgrSk7blT7mw6EYj-VoDb6Hf2FcW2WIiYtAXc2MOyOPqSMiy2Um4tp3RYwO-y_PP0dOQMpdtAY1jRYhA_vtK1ZvzYujQ1zqA0r7b96_fht5gYHIUJHMozypEp0aRktpsTSSNqusxhRXYh1iC6HLPDFZVeqaF0xqWWEyZ7owiU1NTg2Wofjea3Adk3DuXGzAoxW-36IVT8gwzBVs7Ok9sT6JnbpJj9Fe2kud0PxKOrzZkqU2oTfSNWrqBteqbkU2fssXiyTY3_yPp-8u3PE7b_KqdZUtWLPTDmyExv8ObAaBC-LjXQdur7A1dmDLP2_IU0_W_Wwb9gOrC5nVBDfT5N3k4ydNRqeTeHQapwTn6NLegw9X8mU7sD6dTe19IKJguq6l1NyWjFVSuxpUU57bCt2kqLrwPABAGU_L7tRBzpQrzxAvyuFFMapShXjpwpOl-XnLR_InwwOPpn_ZbS-w9tOKYxKkXdj7BXrLYZbgfkZkXdgNOFM-6jVqCbIHfx19DBsIPnV8NBzswq2WnNqdaT2E9fnFpd2DG-bLfNJcPFq4FIGTqwbhDz0YYHU |
| 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=Analysis+of+the+%CE%A3+Phi%2FPh%2F1+Queue&rft.jtitle=Operations+research&rft.au=Bitran%2C+Gabriel+R.&rft.au=Dasu%2C+Sriram&rft.date=1994-01-01&rft.pub=Operations+Research+Society+of+America&rft.issn=0030-364X&rft.eissn=1526-5463&rft.volume=42&rft.issue=1&rft.spage=158&rft.epage=174&rft_id=info:doi/10.1287%2Fopre.42.1.158&rft.externalDocID=171532 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0030-364X&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0030-364X&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0030-364X&client=summon |