帶負(fù)顧客和N-策略的Geo λ 1 ,λ 2 /Geo/1(MWV)排隊(duì)系統(tǒng)分析及最優(yōu)控制策略N *
發(fā)布時(shí)間:2021-04-12 18:24
分析了一個(gè)帶有負(fù)顧客、N-策略控制的Geo/Geo/1多重工作休假排隊(duì)系統(tǒng),其中正顧客在工作休假及正規(guī)忙期以不同的到達(dá)率進(jìn)入系統(tǒng).利用擬生滅過程和矩陣幾何解方法,給出了該模型的穩(wěn)態(tài)隊(duì)長分布及平均隊(duì)長,以及系統(tǒng)分別處于假期和忙期的概率.同時(shí),對(duì)該系統(tǒng)的忙期進(jìn)行了分析,并討論了穩(wěn)態(tài)隊(duì)長分布在系統(tǒng)容量的優(yōu)化設(shè)計(jì)中的應(yīng)用.最后,在給定的費(fèi)用結(jié)構(gòu)下,用數(shù)值計(jì)算例子確定了使系統(tǒng)長期單位時(shí)間內(nèi)期望費(fèi)用最小的最優(yōu)控制策略N*.
【文章來源】:運(yùn)籌學(xué)學(xué)報(bào). 2017,21(03)北大核心CSCD
【文章頁數(shù)】:12 頁
【參考文獻(xiàn)】:
期刊論文
[1]Queue Size Distribution of Geo/G/1 Queue Under the Min(N,D)-Policy[J]. GU Jianxiong,WEI Yingyuan,TANG Yinghui,YU Miaomiao. Journal of Systems Science & Complexity. 2016(03)
[2]一個(gè)不同到達(dá)率及負(fù)顧客的離散工作休假排隊(duì)[J]. 劉再明,于森林. 山東大學(xué)學(xué)報(bào)(理學(xué)版). 2015(06)
[3]延遲D-策略Geo/G/1排隊(duì)系統(tǒng)的隊(duì)長分布及容量的優(yōu)化設(shè)計(jì)[J]. 魏瑛源,唐應(yīng)輝,顧建雄. 系統(tǒng)工程理論與實(shí)踐. 2013(04)
[4]帶有負(fù)顧客和N-策略的Geo/Geo/1工作休假排隊(duì)[J]. 郭宏俠,徐秀麗,耿杰. 重慶師范大學(xué)學(xué)報(bào)(自然科學(xué)版). 2013(01)
[5]RELIABILITY INDICES OF DISCRETE-TIME GeoX/G/1 QUEUEING SYSTEM WITH UNRELIABLE SERVICE STATION AND MULTIPLE ADAPTIVE DELAYED VACATIONS[J]. Yinghui TANG,Miaomiao YU,Xi YUN,Shujuan HUANG. Journal of Systems Science & Complexity. 2012(06)
[6]THE RECURSIVE SOLUTION OF QUEUE LENGTH FOR Geo/G/1 QUEUE WITH N-POLICY[J]. Chuanyi LUO,Yinghui TANG,Wei LI,Kaili XIANG. Journal of Systems Science & Complexity. 2012(02)
[7]具有負(fù)顧客到達(dá)和RCH移除策略的GI/D—MSP/1/N離散時(shí)間排隊(duì)系統(tǒng)[J]. 余玅妙,唐應(yīng)輝,付永紅,劉強(qiáng)國. 系統(tǒng)工程理論與實(shí)踐. 2011(09)
[8]Geom/G1,G2/1/1 REPAIRABLE ERLANG LOSS SYSTEM WITH CATASTROPHE AND SECOND OPTIONAL SERVICE[J]. Yinghui TANG School of Mathematics & Software Science,Sichuan Normal University,Chengdu 610066,China. Miaomiao YU School of Mathematics & Software Science,Sichuan Normal University,Chengdu 610066,China;School of Science,Sichuan University of Science and Engineering,Zigong 643000,China. Cailiang LI Department of Information and Computer Science,Chengdu Electro-Mechanical College,Chengdu 610032, China.. Journal of Systems Science & Complexity. 2011(03)
[9]延遲多重休假離散時(shí)間的Geomx/G/1可修排隊(duì)系統(tǒng)—一些排隊(duì)指標(biāo)[J]. 唐應(yīng)輝,余玅妙,李才良,黃蜀娟,云曦. 數(shù)學(xué)物理學(xué)報(bào). 2011(02)
[10]The Recursive Solution for Geom/G/1(E,SV) Queue with Feedback and Single Server Vacation[J]. Chuan-yi Luo 1,Ying-hui Tang 2 1 School of Economic Mathematics,Southwestern University of Finance and Economics,Chengdu 610074,China 2 School of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,China. Acta Mathematicae Applicatae Sinica(English Series). 2011(01)
本文編號(hào):3133763
【文章來源】:運(yùn)籌學(xué)學(xué)報(bào). 2017,21(03)北大核心CSCD
【文章頁數(shù)】:12 頁
【參考文獻(xiàn)】:
期刊論文
[1]Queue Size Distribution of Geo/G/1 Queue Under the Min(N,D)-Policy[J]. GU Jianxiong,WEI Yingyuan,TANG Yinghui,YU Miaomiao. Journal of Systems Science & Complexity. 2016(03)
[2]一個(gè)不同到達(dá)率及負(fù)顧客的離散工作休假排隊(duì)[J]. 劉再明,于森林. 山東大學(xué)學(xué)報(bào)(理學(xué)版). 2015(06)
[3]延遲D-策略Geo/G/1排隊(duì)系統(tǒng)的隊(duì)長分布及容量的優(yōu)化設(shè)計(jì)[J]. 魏瑛源,唐應(yīng)輝,顧建雄. 系統(tǒng)工程理論與實(shí)踐. 2013(04)
[4]帶有負(fù)顧客和N-策略的Geo/Geo/1工作休假排隊(duì)[J]. 郭宏俠,徐秀麗,耿杰. 重慶師范大學(xué)學(xué)報(bào)(自然科學(xué)版). 2013(01)
[5]RELIABILITY INDICES OF DISCRETE-TIME GeoX/G/1 QUEUEING SYSTEM WITH UNRELIABLE SERVICE STATION AND MULTIPLE ADAPTIVE DELAYED VACATIONS[J]. Yinghui TANG,Miaomiao YU,Xi YUN,Shujuan HUANG. Journal of Systems Science & Complexity. 2012(06)
[6]THE RECURSIVE SOLUTION OF QUEUE LENGTH FOR Geo/G/1 QUEUE WITH N-POLICY[J]. Chuanyi LUO,Yinghui TANG,Wei LI,Kaili XIANG. Journal of Systems Science & Complexity. 2012(02)
[7]具有負(fù)顧客到達(dá)和RCH移除策略的GI/D—MSP/1/N離散時(shí)間排隊(duì)系統(tǒng)[J]. 余玅妙,唐應(yīng)輝,付永紅,劉強(qiáng)國. 系統(tǒng)工程理論與實(shí)踐. 2011(09)
[8]Geom/G1,G2/1/1 REPAIRABLE ERLANG LOSS SYSTEM WITH CATASTROPHE AND SECOND OPTIONAL SERVICE[J]. Yinghui TANG School of Mathematics & Software Science,Sichuan Normal University,Chengdu 610066,China. Miaomiao YU School of Mathematics & Software Science,Sichuan Normal University,Chengdu 610066,China;School of Science,Sichuan University of Science and Engineering,Zigong 643000,China. Cailiang LI Department of Information and Computer Science,Chengdu Electro-Mechanical College,Chengdu 610032, China.. Journal of Systems Science & Complexity. 2011(03)
[9]延遲多重休假離散時(shí)間的Geomx/G/1可修排隊(duì)系統(tǒng)—一些排隊(duì)指標(biāo)[J]. 唐應(yīng)輝,余玅妙,李才良,黃蜀娟,云曦. 數(shù)學(xué)物理學(xué)報(bào). 2011(02)
[10]The Recursive Solution for Geom/G/1(E,SV) Queue with Feedback and Single Server Vacation[J]. Chuan-yi Luo 1,Ying-hui Tang 2 1 School of Economic Mathematics,Southwestern University of Finance and Economics,Chengdu 610074,China 2 School of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,China. Acta Mathematicae Applicatae Sinica(English Series). 2011(01)
本文編號(hào):3133763
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