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題名 非指數服務型態及符記佇列
Nonexponential Servers with A Token Queue
作者 黃仲良
Huang, Zhong Liang
貢獻者 陸行
Lu, Xing
黃仲良
Huang, Zhong Liang
日期 1995
1994
上傳時間 29-Apr-2016 15:59:54 (UTC+8)
摘要   我們考慮的模型是由兩個串聯的服務站所構成的服務系統,其中每個服務站各有一個服務者。假設這兩個服務站的服務時間分配函數如下:前者具有有限的混合艾倫分配,而後者為一般分配。由系統外進入之顧客人數服從卜瓦松分配,且須經由一符記佇列中取得一符記始得進入系統內,否則將被拒絕而離開此系統。當一顧客完成全部服務後便立即將所擁有之符記還回此佇列。我們假設佇列數目固定,以控制系統內之人數。在此論文中,我們將導出一個由外進入之顧客發現佇列中沒有符記的機率,以及對於同一個符記其循環所花時間的拉普拉氏─司提吉轉換。
  We consider a simple two-station series, single-server (at each station) queuing model with external arrivals according to a poisson process. And assuming one is general server and the other one whose service time distribution is a finite mixture of Eriang distribution. Furthermore, the customers should get `a token from the token queue to enter the system. We will construct an embedded Markov chain of this model and study the ergodicity of the chain at the departure points, then use it to derive a formula of the loss probability i.e., the probability of an arriving customer find no token in the token queue. Finally, we give the Laplace-Stieltjes transform of the cycle time for a token i.e., the time between successive departure for a token to the server 2.
描述 碩士
國立政治大學
應用數學系
資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002003513
資料類型 thesis
dc.contributor.advisor 陸行zh_TW
dc.contributor.advisor Lu, Xingen_US
dc.contributor.author (Authors) 黃仲良zh_TW
dc.contributor.author (Authors) Huang, Zhong Liangen_US
dc.creator (作者) 黃仲良zh_TW
dc.creator (作者) Huang, Zhong Liangen_US
dc.date (日期) 1995en_US
dc.date (日期) 1994en_US
dc.date.accessioned 29-Apr-2016 15:59:54 (UTC+8)-
dc.date.available 29-Apr-2016 15:59:54 (UTC+8)-
dc.date.issued (上傳時間) 29-Apr-2016 15:59:54 (UTC+8)-
dc.identifier (Other Identifiers) B2002003513en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/88451-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 應用數學系zh_TW
dc.description.abstract (摘要)   我們考慮的模型是由兩個串聯的服務站所構成的服務系統,其中每個服務站各有一個服務者。假設這兩個服務站的服務時間分配函數如下:前者具有有限的混合艾倫分配,而後者為一般分配。由系統外進入之顧客人數服從卜瓦松分配,且須經由一符記佇列中取得一符記始得進入系統內,否則將被拒絕而離開此系統。當一顧客完成全部服務後便立即將所擁有之符記還回此佇列。我們假設佇列數目固定,以控制系統內之人數。在此論文中,我們將導出一個由外進入之顧客發現佇列中沒有符記的機率,以及對於同一個符記其循環所花時間的拉普拉氏─司提吉轉換。zh_TW
dc.description.abstract (摘要)   We consider a simple two-station series, single-server (at each station) queuing model with external arrivals according to a poisson process. And assuming one is general server and the other one whose service time distribution is a finite mixture of Eriang distribution. Furthermore, the customers should get `a token from the token queue to enter the system. We will construct an embedded Markov chain of this model and study the ergodicity of the chain at the departure points, then use it to derive a formula of the loss probability i.e., the probability of an arriving customer find no token in the token queue. Finally, we give the Laplace-Stieltjes transform of the cycle time for a token i.e., the time between successive departure for a token to the server 2.en_US
dc.description.tableofcontents 摘要
     Abstract
     Contents-----i
     Chapter 1. Introduction-----1
     Chapter 2. Model Description-----5
     Chapter 3. Equilibrium Distribution of Embedded Chain-----8
     Chapter 4. Loss Probability-----23
     Chapter 5. Cycle Time Distribution-----26
     Chapter 6. Conclusion-----31
     Appendix-----32
     Reference-----33
zh_TW
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002003513en_US
dc.title (題名) 非指數服務型態及符記佇列zh_TW
dc.title (題名) Nonexponential Servers with A Token Queueen_US
dc.type (資料類型) thesisen_US