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About: Queueing theory

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href="http://dbpedia.org">dbpedia.org</a></span> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> <p class="lead">Queueing theory is the mathematical study of waiting lines, or queues. A queueing model is constructed so that queue lengths and waiting time can be predicted. Queueing theory is generally considered a branch of operations research because the results are often used when making business decisions about the resources needed to provide a service.</p> </div> <div class="col-xs-3 col-sm-2"> <a href="#" class="thumbnail"> <img src="http://commons.wikimedia.org/wiki/Special:FilePath/ServidorParalelo.jpg?width=300" alt="thumbnail" class="img-fluid" /> </a> </div> </div> </div> </section> <!-- page-header --> <!-- property-table --> <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract"><small>dbo:</small>abstract</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ar" >نظرية الأرتال أو نظرية الطابور أو نظرية صفوف الانتظار أو نظرية الاِصْطِفاف (بالإنجليزية: Queuing theory)‏ هي دراسة رياضية لصفوف الانتظار (أو الطوابير). تمكن النظرية من التحليل الرياضي للعديد من العمليات ذات الصلة، بما في ذلك القدوم إلى نهاية الطابور والانتظار في الطابور (عملية تخزين أساساً) وخدمة من في مقدمة الطابور من قِبل الخادم أو الخوادم. تسمح النظرية باشتقاق وحساب العديد من مقاييس الأداء، بما في ذلك معدل وقت الانتظار في الطابور أو النظام والعدد المتوقع ممن ينتظرون أو يتلقون الخدمة واحتمال مواجهة النظام لبعض الحالات كأن يكون فارغاً أو ممتلئاً أو وجود خادم شاغر أو الانتظار لبعض الوقت حتى يمكنه تلقي الخدمة. نظرية الطابور عموماً تعتبر فرعاً من بحث العمليات، لأن النتائج تستخدم غالباً عند اتخاذ القرارات التجارية بشأن الموارد اللازمة لتقديم الخدمة. وهي قابلة للتطبيق في طائفة واسعة من الحالات التي قد تُواجَه في مجال الأعمال المالية والتجارية والصناعة والرعاية الصحية والخدمات العامة والهندسة. التطبيقات تصادفنا غالباً في حالات خدمة العملاء وكذلك في النقل والاتصالات السلكية واللاسلكية (مع ملاحظة أن هناك ما يدعى &quot;ride theory&quot; وهي تذكر أحياناً، لكنه من غير المؤكد ما إذا كانت صحيحة). ونظرية الطابور قابلة للتطبيق مباشرة لأنظمة النقل الذكية ومراكز المكالمات والشبكات والاتصالات السلكية واللاسلكية وطوابير الخوادم وطوابير المحطات الطرفية للحاسبات الكبرى وأنظمة الاتصالات المتقدمة وحركة السير.</span><small> (ar)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ca" >La teoria de cues és l&#39;estudi matemàtic de les línies d&#39;espera (o cues) permetent l&#39;anàlisi de diversos processos relacionats com: l&#39;arribada al final de la cua, l&#39;espera a la cua, o també matemàtica, etc. La teoria de cues generalment és considerada una branca d&#39;investigació operativa perquè els seus resultats sovint són aplicables a una àmplia varietat de situacions com: negocis, comerç, indústria, enginyeries, transport i telecomunicacions. En el context de la informàtica i de les noves tecnologies aquestes situacions d&#39;espera són més freqüents. Així, per exemple, els processos enviats a un servidor per a execució formen cues d&#39;espera mentre no són atesos, la informació sol·licitada, a través d&#39;Internet, a un servidor web pot rebre amb retard a causa de la congestió en la xarxa, també es pot rebre el senyal de línia de la qual depèn el nostre telèfon mòbil ocupada si la central està col·lapsada en aquell moment, etc. Camps d&#39;utilització: logística dels processos industrials de producció, enginyeria de xarxes i serveis, enginyeria de sistemes informàtics, elaboració de projectes sostenibles, etc.</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="cs" >Jako teorie hromadné obsluhy nebo též teorie front se označuje obor aplikované matematiky, který se zabývá modelováním, návrhem a řízením situací, při kterých jsou zákazníci (za které mohou být považováni lidé nebo i různé procesy a automaty) obsluhováni různými kanály a je potřeba optimalizovat využití zdrojů, jakými jsou čekací doby zákazníků a kapacity kanálů. Teorie hromadné obsluhy je součást operačního výzkumu a vznikla začátkem 20. století, kdy ji založil dánský inženýr v rámci svých výzkumů telefonních ústředen.</span><small> (cs)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="de" >Die Warteschlangentheorie (oder Bedienungstheorie) ist ein Teilgebiet der Wahrscheinlichkeitstheorie und der Unternehmensforschung und somit ein Beispiel für angewandte Mathematik. Sie beschäftigt sich mit der mathematischen Analyse von Systemen, in denen Aufträge von Bedienungsstationen bearbeitet werden, und gibt Antwort auf die Fragen nach den charakteristischen Größen wie der Stabilität des Wartesystems, der Anzahl der Kunden im System, ihrer Wartezeit usw. Sie unterstützt unter anderem Führungsentscheidungen über den Personaleinsatz und den Abfertigungsprozess und hilft, ein System zur Leistungsmessung auszubauen. Ihre Anwendung reicht von Computern, Telekommunikationssystemen, Verkehrssystemen über Logistik bis zu Fertigungssystemen.</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="el" >Μια ουρά αναμονής ή ισοδύναμα ένα σύστημα εξυπηρέτησης είναι ένα μαθηματικό πρότυπο για τη μοντελοποίηση ενός πραγματικού συστήματος εισόδου - εξόδου μονάδων (πελατών) στο οποίο υπεισέρχεται τυχαιότητα. Το αντικείμενο της θεωρίας αυτής είναι η ποσοτική μελέτη συστημάτων εξυπηρέτησης και εντάσσεται στο ευρύτερο γνωστικό πεδίο της Επιχειρησιακής Έρευνας και ειδικότερα στο στοχαστικό μέρος της. Τυπικά παραδείγματα ουρών αναμονής που παρουσιάζονται στις εφαρμογές είναι τα ταμεία των τραπεζών και γενικότερα διαφόρων οργανισμών, τα τηλεφωνικά κέντρα εξυπηρέτησης πελατών (call centers), το τηλεφωνικό δίκτυο, το Διαδίκτυο καθώς και τοπικά δίκτυα υπολογιστών (LAN), οι γραμμές παραγωγής μιας βιομηχανικής μονάδας, τα συγκοινωνιακά δίκτυα κλπ. Στόχος της θεωρίας των ουρών αναμονής είναι η ποσοτική περιγραφή τέτοιων συστημάτων και ο βέλτιστος σχεδιασμός τους. Έτσι η θεωρία ουρών αναμονής απαντά σε προβλήματα του τύπου: * Πόσο περιμένει κάθε πελάτης κατά μέσο όρο; * Πόσο είναι το μήκος της ουράς (πλήθος πελατών) που σχηματίζεται κατά μέσο όρο; * Πόσο θα μειωθεί κατά μέσο όρο η ουρά αν προστεθεί ένας επιπλέον υπηρέτης (agent); * Πόσοι agents πρέπει να υπάρχουν ώστε το πλήθος των χαμένων κλήσεων (abandoned calls) προς το σύνολο των εισερχομένων να είναι μικρότερο από 5% (abandonment rate &lt; 5%) Για την ουσιαστική μελέτη τέτοιων συστημάτων το βασικό εργαλείο είναι η Θεωρία Πιθανοτήτων και , αφού τα μαθηματικά πρότυπα των ουρών αναμονής είναι στοχαστικά (τυχαιοκρατικά).</span><small> (el)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="eu" >Ilara-teoria sistema baten itxarote egoerak edo matematikoki aztertzen dituen arlo aplikatu bat da. Teoria honek hainbat faktore ikertzen ditu: ilaran dauden batezbesteko erabiltzaile kopurua eta batezbesteko itxarotea, ilara blokeatzeko probabilitatea...Sektore askotan aplikatu ahal den modelo bat da (merkataritza, industria, ingeniaritza, telekomunikazioak...). Ilarak eguneroko bizitzan aurki ditzakegu: banketxean, supermerkatuan, ospitalean... Ingeniaritzaren kasua, teoria honek zerbitzu baten beharra duten erabiltzaile batez edo gehiagoz osotutako sistema bat modelatzea ahalbidetzen digu. Erabiltzaile hauek, zerbitzari berdinean elkartu egingo dira eta beraz atzerapenak sortu ahal dira, erabiltzailea sistemara heltzen denetik zerbitzua izaten hasten den arte. Beraz, telekomunikazio edo konputagailu-sare bateko kongestioa modelatzeko teoria oso baliagarria da.</span><small> (eu)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="fr" >La théorie des files d&#39;attente est une théorie mathématique relevant du domaine des probabilités, qui étudie les solutions optimales de gestion des files d’attente, ou queues. Une queue est nécessaire et se créera d&#39;elle-même si ce n&#39;est pas anticipé, dans tous les cas où l&#39;offre est inférieure à la demande, même temporairement. Elle peut s’appliquer à différentes situations : gestion des avions au décollage ou à l’atterrissage, attente des clients et des administrés aux guichets, ou bien encore stockage des programmes informatiques avant leur traitement. Ce domaine de recherches, né en 1917, des travaux de l’ingénieur danois Erlang sur la gestion des réseaux téléphoniques de Copenhague à partir de 1908, étudie notamment les systèmes d’arrivée dans une queue, les différentes priorités de chaque nouvel arrivant, ainsi que la modélisation statistique des temps d’exécution. C&#39;est grâce aux apports des mathématiciens Khintchine, , Kendall, Pollaczek et Kolmogorov que la théorie s&#39;est vraiment développée.</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="es" >La teoría de colas es el estudio matemático de las colas o líneas de espera dentro de un sistema. Esta teoría estudia factores como el tiempo de espera medio en las colas o la capacidad de trabajo del sistema sin que llegue a colapsar. Dentro de las matemáticas, la teoría de colas se engloba en la investigación de operaciones y es un complemento muy importante a la teoría de sistemas y la teoría de control. Se trata así de una teoría que encuentra aplicación en una amplia variedad de situaciones como negocios, comercio, industria, ingenierías, transporte y logística o telecomunicaciones. La teoría de colas permite modelar sistemas en los que existe una población de agentes (también llamados clientes o usuarios) que demandan cierto servicio que es proporcionado por uno o más servidores (también llamados recursos). Dado que puede haber más agentes que recursos, pueden registrarse esperas desde que un agente llega al sistema hasta que el servidor atiende su demanda, o incluso un agente puede ser rechazado del sistema al no haber espacio donde esperar (esto es, una cola). La teoría de colas sirve para modelar procesos tales como la llegada de datos a una cola en ciencias de la computación, la congestión en red de computadoras o de telecomunicación, o la implementación de una cadena productiva en la ingeniería industrial. En el contexto de la informática o de las tecnologías de la información y la comunicación son paradigmáticas las situaciones de espera dentro de una red de comunicaciones. Así, por ejemplo, los procesos enviados a un servidor en red forman colas de espera mientras no son atendidos; la información solicitada a un servidor Web a través de Internet puede recibirse con demora debido a la congestión en la red o en el servidor; en el caso de telefonía (fija o móvil), una llamada puede no ser realizada si alguna central está saturada (un mensaje típico en este caso es &quot;por sobrecarga en red rogamos vuelva a llamar pasados unos minutos&quot;).</span><small> (es)</small></span></li> <li><span class="literal"><span property="dbo:abstract" lang="en" >Queueing theory is the mathematical study of waiting lines, or queues. A queueing model is constructed so that queue lengths and waiting time can be predicted. Queueing theory is generally considered a branch of operations research because the results are often used when making business decisions about the resources needed to provide a service. Queueing theory has its origins in research by Agner Krarup Erlang when he created models to describe the system of Copenhagen Telephone Exchange company, a Danish company. The ideas have since seen applications including telecommunication, traffic engineering, computingand, particularly in industrial engineering, in the design of factories, shops, offices and hospitals, as well as in project management.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ja" >待ち行列理論(まちぎょうれつりろん 英語: Queueing Theory)とは、顧客がサービスを受けるために行列に並ぶような確率的に挙動するシステムの混雑現象を数理モデルを用いて解析することを目的とした理論である。応用数学のオペレーションズ・リサーチにおける分野の一つに数えられる。 電話交換機や情報ネットワーク、生産システム、空港や病院などの設計や性能評価に応用される。性能評価指標としては、待ち行列長・待ち時間・スループットなどが用いられる。応用の場では、システムの性能がある設計目標を満たすために必要な設計パラメータを決定する際に、その逆問題を提供できる。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ko" >대기행렬이론(待機行列理論, 영어: queueing theory)은 대기행렬(queue, waiting line)을 수학적으로 다루는 이론이다. 이 이론은 대기행렬에 도착하는 것과 대기하는 것 그리고 서비스되는 일련의 프로세스들에 대한 수학적, 확률적 분석을 가능하게 한다. 시스템의 평균 대기시간, 대기행렬의 추정, 서비스의 예측 등을 현재 상태를 기반으로 한 시스템의 확률을 기반으로 하여 성능을 측정하는 유용한 도구이다. 대기행렬이론은 경영관리, 산업공학, 통신 네트워크의 성능분석 및 설계(패킷스케줄링 정책, 자원관리)등 여러 분야에서 강력한 도구이다. 이 이론은 서비스 공급에 얼만큼의 리소스를 투입하느냐는 비즈니스적인 결정을 내리는 데 사용되었기 때문에 일반적으로 운용 과학의 한 분야로 생각되고 있다. 그러나 이 이론은 경영관리와 함께 산업 전반, 공공 서비스, 엔지니어링 등 여러 분야에 걸쳐 폭넓게 적용이 가능하다. 종종 교통 시스템이나 통신 네트워크의 설계 및 분석과 같은 분야에서 많이 사용되며 최근에는 콜센터를 분석하는 데 응용되고 있다. 이 이론은 직접적으로 지능형 교통 시스템, 콜 센터, PABX, 네트워크, 서버 큐잉, 통신 시스템, 교통 흐름 등의 분야에서 사용된다. 통신망을 모델링하고 분석하는 방법에는 게임 이론, 그래프 이론 등의 수학적인 도구가 사용되기도 한다.</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="it" >La teoria delle code è lo studio matematico delle linee di attesa (o code) e di processi correlati, quali il processo di arrivo in coda, l&#39;attesa (essenzialmente un processo di immagazzinamento) e il processo di servizio. Può essere applicata ad un&#39;ampia varietà di problemi, soprattutto nel campo dei trasporti, delle telecomunicazioni, della fornitura di servizi (ad es. in sanità) e delle operazioni aziendali. Usualmente considerata una branca della ricerca operativa, le sue origini risalgono al 1909 quando l&#39;ingegnere danese Agner Krarup Erlang pubblicò un articolo intitolato The theory of probability and telephone conversations relativo alle attese nelle chiamate telefoniche.</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="nl" >De wachtrijtheorie of wachtlijntheorie beschrijft, bestudeert en verklaart de verschijnselen die zich voordoen in wachtrijsystemen, systemen waarin klanten moeten wachten op bediening. De wachtrijtheorie wordt onder andere toegepast in de analyse en het ontwerp van computers, telecommunicatiesystemen en productieprocessen. Wachtrijsystemen worden wiskundig met behulp van technieken uit de kansrekening geanalyseerd met het doel de meest effectieve maatregelen te vinden tegen een te lange wachttijd, of het gedrag van deze systemen te kunnen voorspellen en controleren. Wachtrijen leiden vaak tot veel irritatie. De wachtrijtheorie is daarom ook wel bekend als de wiskunde van de ergernis. De eerste ontwikkelingen in de wachtrijtheorie kwamen uit de telefonie. Agner Erlang, een Deense ingenieur die voor een telefoonmaatschappij in Kopenhagen werkte, publiceerde in 1909 het eerste artikel over wachtrijtheorie.</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="pl" >Teoria kolejek – dziedzina matematyki zajmująca się analizowaniem systemów, w których powstają kolejki. Teoria kolejek jest dziedziną związaną z badaniami operacyjnymi, rachunkiem prawdopodobieństwa, matematyką stosowaną, jak również telekomunikacją i informatyką.</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="pt" >A teoria das filas é um ramo da probabilidade que estuda a formação de filas, através de análises matemáticas precisas e propriedades mensuráveis das filas. Ela provê modelos para demonstrar previamente o comportamento de um sistema que ofereça serviços cuja demanda cresce aleatoriamente, tornando possível dimensioná-lo de forma a satisfazer os clientes e ser viável economicamente para o provedor do serviço, evitando desperdícios e gargalos.</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="sv" >Köteori är läran om idealiserade köer med stokastiska tillflöden och utflöden. De vanligaste tillämpningarna förekommer inom logistik och analys av tele- och datornätverk.</span><small> (sv)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="zh" >排队论(英語:queuing/queueing theory),或称随机服务系统理论、排隊理論,是研究服务系统中排队现象随机规律的学科。排队论作为数学运筹学的分支学科广泛应用于電信,交通工程,计算机网络、生产、运输、库存等各项资源共享的随机服务系统,和工廠,商店,辦公室和醫院的設計。 排队论研究的内容有3个方面:统计推断,根据资料建立模型;系统的性态,即和排队有关的数量指标的概率规律性;系统的最佳化问题。其目的是正确设计和有效运行各个服务系统,使之发挥最佳效益。</span><small> (zh)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="uk" >Теорія масового обслуговування, або теорія черг (англ. queueing theory), — розділ теорії ймовірностей, метою досліджень якого є раціональний вибір структури системи обслуговування та процесу обслуговування на основі вивчення потоків вимог на обслуговування, що надходять у систему і виходять з неї, тривалості очікування і довжини черг. У теорії масового обслуговування використовуються методи теорії ймовірностей та математичної статистики.</span><small> (uk)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ru" >Теория массового обслуживания, или теория очередей (англ. queueing theory), — раздел теории вероятностей, целью исследований которого является рациональный выбор структуры системы обслуживания и процесса обслуживания на основе изучения потоков требований на обслуживание, поступающих в систему и выходящих из неё, длительности ожидания и длины очередей. В теории массового обслуживания используются методы теории вероятностей и математической статистики.</span><small> (ru)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/thumbnail"><small>dbo:</small>thumbnail</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dbo:thumbnail" resource="http://commons.wikimedia.org/wiki/Special:FilePath/ServidorParalelo.jpg?width=300" href="http://commons.wikimedia.org/wiki/Special:FilePath/ServidorParalelo.jpg?width=300"><small>wiki-commons</small>:Special:FilePath/ServidorParalelo.jpg?width=300</a></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageExternalLink"><small>dbo:</small>wikiPageExternalLink</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dbo:wikiPageExternalLink nofollow" 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též teorie front se označuje obor aplikované matematiky, který se zabývá modelováním, návrhem a řízením situací, při kterých jsou zákazníci (za které mohou být považováni lidé nebo i různé procesy a automaty) obsluhováni různými kanály a je potřeba optimalizovat využití zdrojů, jakými jsou čekací doby zákazníků a kapacity kanálů. Teorie hromadné obsluhy je součást operačního výzkumu a vznikla začátkem 20. století, kdy ji založil dánský inženýr v rámci svých výzkumů telefonních ústředen.</span><small> (cs)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="de" >Die Warteschlangentheorie (oder Bedienungstheorie) ist ein Teilgebiet der Wahrscheinlichkeitstheorie und der Unternehmensforschung und somit ein Beispiel für angewandte Mathematik. Sie beschäftigt sich mit der mathematischen Analyse von Systemen, in denen Aufträge von Bedienungsstationen bearbeitet werden, und gibt Antwort auf die Fragen nach den charakteristischen Größen wie der Stabilität des Wartesystems, der Anzahl der Kunden im System, ihrer Wartezeit usw. Sie unterstützt unter anderem Führungsentscheidungen über den Personaleinsatz und den Abfertigungsprozess und hilft, ein System zur Leistungsmessung auszubauen. Ihre Anwendung reicht von Computern, Telekommunikationssystemen, Verkehrssystemen über Logistik bis zu Fertigungssystemen.</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ja" >待ち行列理論(まちぎょうれつりろん 英語: Queueing Theory)とは、顧客がサービスを受けるために行列に並ぶような確率的に挙動するシステムの混雑現象を数理モデルを用いて解析することを目的とした理論である。応用数学のオペレーションズ・リサーチにおける分野の一つに数えられる。 電話交換機や情報ネットワーク、生産システム、空港や病院などの設計や性能評価に応用される。性能評価指標としては、待ち行列長・待ち時間・スループットなどが用いられる。応用の場では、システムの性能がある設計目標を満たすために必要な設計パラメータを決定する際に、その逆問題を提供できる。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="it" >La teoria delle code è lo studio matematico delle linee di attesa (o code) e di processi correlati, quali il processo di arrivo in coda, l&#39;attesa (essenzialmente un processo di immagazzinamento) e il processo di servizio. Può essere applicata ad un&#39;ampia varietà di problemi, soprattutto nel campo dei trasporti, delle telecomunicazioni, della fornitura di servizi (ad es. in sanità) e delle operazioni aziendali. Usualmente considerata una branca della ricerca operativa, le sue origini risalgono al 1909 quando l&#39;ingegnere danese Agner Krarup Erlang pubblicò un articolo intitolato The theory of probability and telephone conversations relativo alle attese nelle chiamate telefoniche.</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="pl" >Teoria kolejek – dziedzina matematyki zajmująca się analizowaniem systemów, w których powstają kolejki. Teoria kolejek jest dziedziną związaną z badaniami operacyjnymi, rachunkiem prawdopodobieństwa, matematyką stosowaną, jak również telekomunikacją i informatyką.</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="pt" >A teoria das filas é um ramo da probabilidade que estuda a formação de filas, através de análises matemáticas precisas e propriedades mensuráveis das filas. Ela provê modelos para demonstrar previamente o comportamento de um sistema que ofereça serviços cuja demanda cresce aleatoriamente, tornando possível dimensioná-lo de forma a satisfazer os clientes e ser viável economicamente para o provedor do serviço, evitando desperdícios e gargalos.</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="sv" >Köteori är läran om idealiserade köer med stokastiska tillflöden och utflöden. De vanligaste tillämpningarna förekommer inom logistik och analys av tele- och datornätverk.</span><small> (sv)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="zh" >排队论(英語:queuing/queueing theory),或称随机服务系统理论、排隊理論,是研究服务系统中排队现象随机规律的学科。排队论作为数学运筹学的分支学科广泛应用于電信,交通工程,计算机网络、生产、运输、库存等各项资源共享的随机服务系统,和工廠,商店,辦公室和醫院的設計。 排队论研究的内容有3个方面:统计推断,根据资料建立模型;系统的性态,即和排队有关的数量指标的概率规律性;系统的最佳化问题。其目的是正确设计和有效运行各个服务系统,使之发挥最佳效益。</span><small> (zh)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="uk" >Теорія масового обслуговування, або теорія черг (англ. queueing theory), — розділ теорії ймовірностей, метою досліджень якого є раціональний вибір структури системи обслуговування та процесу обслуговування на основі вивчення потоків вимог на обслуговування, що надходять у систему і виходять з неї, тривалості очікування і довжини черг. У теорії масового обслуговування використовуються методи теорії ймовірностей та математичної статистики.</span><small> (uk)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ru" >Теория массового обслуживания, или теория очередей (англ. queueing theory), — раздел теории вероятностей, целью исследований которого является рациональный выбор структуры системы обслуживания и процесса обслуживания на основе изучения потоков требований на обслуживание, поступающих в систему и выходящих из неё, длительности ожидания и длины очередей. В теории массового обслуживания используются методы теории вероятностей и математической статистики.</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ar" >نظرية الأرتال أو نظرية الطابور أو نظرية صفوف الانتظار أو نظرية الاِصْطِفاف (بالإنجليزية: Queuing theory)‏ هي دراسة رياضية لصفوف الانتظار (أو الطوابير). تمكن النظرية من التحليل الرياضي للعديد من العمليات ذات الصلة، بما في ذلك القدوم إلى نهاية الطابور والانتظار في الطابور (عملية تخزين أساساً) وخدمة من في مقدمة الطابور من قِبل الخادم أو الخوادم. تسمح النظرية باشتقاق وحساب العديد من مقاييس الأداء، بما في ذلك معدل وقت الانتظار في الطابور أو النظام والعدد المتوقع ممن ينتظرون أو يتلقون الخدمة واحتمال مواجهة النظام لبعض الحالات كأن يكون فارغاً أو ممتلئاً أو وجود خادم شاغر أو الانتظار لبعض الوقت حتى يمكنه تلقي الخدمة.</span><small> (ar)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ca" >La teoria de cues és l&#39;estudi matemàtic de les línies d&#39;espera (o cues) permetent l&#39;anàlisi de diversos processos relacionats com: l&#39;arribada al final de la cua, l&#39;espera a la cua, o també matemàtica, etc. La teoria de cues generalment és considerada una branca d&#39;investigació operativa perquè els seus resultats sovint són aplicables a una àmplia varietat de situacions com: negocis, comerç, indústria, enginyeries, transport i telecomunicacions.</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="el" >Μια ουρά αναμονής ή ισοδύναμα ένα σύστημα εξυπηρέτησης είναι ένα μαθηματικό πρότυπο για τη μοντελοποίηση ενός πραγματικού συστήματος εισόδου - εξόδου μονάδων (πελατών) στο οποίο υπεισέρχεται τυχαιότητα. Το αντικείμενο της θεωρίας αυτής είναι η ποσοτική μελέτη συστημάτων εξυπηρέτησης και εντάσσεται στο ευρύτερο γνωστικό πεδίο της Επιχειρησιακής Έρευνας και ειδικότερα στο στοχαστικό μέρος της. Στόχος της θεωρίας των ουρών αναμονής είναι η ποσοτική περιγραφή τέτοιων συστημάτων και ο βέλτιστος σχεδιασμός τους. Έτσι η θεωρία ουρών αναμονής απαντά σε προβλήματα του τύπου:</span><small> (el)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="es" >La teoría de colas es el estudio matemático de las colas o líneas de espera dentro de un sistema. Esta teoría estudia factores como el tiempo de espera medio en las colas o la capacidad de trabajo del sistema sin que llegue a colapsar. Dentro de las matemáticas, la teoría de colas se engloba en la investigación de operaciones y es un complemento muy importante a la teoría de sistemas y la teoría de control. Se trata así de una teoría que encuentra aplicación en una amplia variedad de situaciones como negocios, comercio, industria, ingenierías, transporte y logística o telecomunicaciones.</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="eu" >Ilara-teoria sistema baten itxarote egoerak edo matematikoki aztertzen dituen arlo aplikatu bat da. Teoria honek hainbat faktore ikertzen ditu: ilaran dauden batezbesteko erabiltzaile kopurua eta batezbesteko itxarotea, ilara blokeatzeko probabilitatea...Sektore askotan aplikatu ahal den modelo bat da (merkataritza, industria, ingeniaritza, telekomunikazioak...). Ilarak eguneroko bizitzan aurki ditzakegu: banketxean, supermerkatuan, ospitalean...</span><small> (eu)</small></span></li> <li><span class="literal"><span property="rdfs:comment" lang="en" >Queueing theory is the mathematical study of waiting lines, or queues. A queueing model is constructed so that queue lengths and waiting time can be predicted. Queueing theory is generally considered a branch of operations research because the results are often used when making business decisions about the resources needed to provide a service.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="fr" >La théorie des files d&#39;attente est une théorie mathématique relevant du domaine des probabilités, qui étudie les solutions optimales de gestion des files d’attente, ou queues. Une queue est nécessaire et se créera d&#39;elle-même si ce n&#39;est pas anticipé, dans tous les cas où l&#39;offre est inférieure à la demande, même temporairement. Elle peut s’appliquer à différentes situations : gestion des avions au décollage ou à l’atterrissage, attente des clients et des administrés aux guichets, ou bien encore stockage des programmes informatiques avant leur traitement. Ce domaine de recherches, né en 1917, des travaux de l’ingénieur danois Erlang sur la gestion des réseaux téléphoniques de Copenhague à partir de 1908, étudie notamment les systèmes d’arrivée dans une queue, les différentes priorités de c</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ko" >대기행렬이론(待機行列理論, 영어: queueing theory)은 대기행렬(queue, waiting line)을 수학적으로 다루는 이론이다. 이 이론은 대기행렬에 도착하는 것과 대기하는 것 그리고 서비스되는 일련의 프로세스들에 대한 수학적, 확률적 분석을 가능하게 한다. 시스템의 평균 대기시간, 대기행렬의 추정, 서비스의 예측 등을 현재 상태를 기반으로 한 시스템의 확률을 기반으로 하여 성능을 측정하는 유용한 도구이다. 대기행렬이론은 경영관리, 산업공학, 통신 네트워크의 성능분석 및 설계(패킷스케줄링 정책, 자원관리)등 여러 분야에서 강력한 도구이다. 통신망을 모델링하고 분석하는 방법에는 게임 이론, 그래프 이론 등의 수학적인 도구가 사용되기도 한다.</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="nl" >De wachtrijtheorie of wachtlijntheorie beschrijft, bestudeert en verklaart de verschijnselen die zich voordoen in wachtrijsystemen, systemen waarin klanten moeten wachten op bediening. De wachtrijtheorie wordt onder andere toegepast in de analyse en het ontwerp van computers, telecommunicatiesystemen en productieprocessen. Wachtrijsystemen worden wiskundig met behulp van technieken uit de kansrekening geanalyseerd met het doel de meest effectieve maatregelen te vinden tegen een te lange wachttijd, of het gedrag van deze systemen te kunnen voorspellen en controleren. Wachtrijen leiden vaak tot veel irritatie. De wachtrijtheorie is daarom ook wel bekend als de wiskunde van de ergernis.</span><small> (nl)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#label"><small>rdfs:</small>label</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="rdfs:label" lang="en" >Queueing theory</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ar" >نظرية الأرتال</span><small> (ar)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ca" >Teoria de cues</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="cs" >Teorie hromadné obsluhy</span><small> (cs)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="de" >Warteschlangentheorie</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="el" >Θεωρία ουρών αναμονής</span><small> (el)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="es" >Teoría de colas</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="eu" >Ilara-teoria</span><small> (eu)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="fr" >Théorie des files d&#39;attente</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="it" >Teoria delle code</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ko" >대기행렬이론</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ja" >待ち行列理論</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="nl" >Wachtrijtheorie</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="pl" >Teoria kolejek</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="pt" >Teoria das filas</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="sv" >Köteori</span><small> (sv)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ru" >Теория массового обслуживания</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="zh" >等候理論</span><small> (zh)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="uk" >Теорія масового обслуговування</span><small> (uk)</small></span></li> 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