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Original Articles

The optimal management of a queueing system with controlling arrivals

具控制到達排隊系統的最佳管理

張嘉容 臺中技術學院會計資訊系 柯沛程 臺中技術學院應用統計系 黃馨逸Footnote* 臺中技術學院資訊工程系 404台中市北區三民路三段129號

, &
Pages 226-236 | Received 16 Apr 2010, Accepted 26 Dec 2010, Published online: 04 Mar 2011

References

  • Balachandran , KR . 1973 . Control policies for a single server system . Management Science , 19 : 1013 – 1018 .
  • Choudhury , G , Ke , JC and Tadj , L . 2009 . The N-policy for an unreliable server with delaying repair and two phases of service . Journal of Computational and Applied Mathematics , 31 : 349 – 364 .
  • Choudhury , G and Madan , KC . 2005 . A two-stage batch arrival queueing system with a modified Bernoullu schedule vacation under N-policy . Mathematical and Computer Modelling , 42 : 71 – 85 .
  • Choudhury , G and Paul , M . 2006 . A batch arrival queue with a second optimal service channel under N-policy . Stochastic Analysis and Applications , 24 : 1 – 21 .
  • Gupta , SM . 1995 . Interrelationship between controlling arrival and service in queueing systems . Computers and Operations Research , 22 : 1005 – 1014 .
  • Heyman , DP . 1977 . The T policy for the M/G/1 queue . Management Science , 23 : 775 – 778 .
  • Ke , JC . 2003 . The optimal control of an M/G/1 queueing system with server vacations, startup and breakdowns . Computers and Industrial Engineering , 44 : 567 – 579 .
  • Ke , JC , Chang , CJ and Chang , FM . 2010 . Controlling arrivals for a Markovian queueing system with a second optional service . International Journal of Industrial Engineering Theory Applications and Practice , 17 : 48 – 57 .
  • Ke , JC , Huang , HI and Chu , YK . 2010 . Batch arrival queue with N-policy and at most J vacations . Applied Mathematical Modelling , 34 : 451 – 466 .
  • Ke , JC , Huang , KB and Pearn , WL . 2010 . Randomized policy of a Poisson input queue with J vacations . Journal of Systems Science and Systems Engineering , 19 : 50 – 71 .
  • Lee , SS , Lee , HW and Chae , KC . 1995 . Batch arrival queue with N policy and single vacation . Computers and Operations Research , 22 : 173 – 189 .
  • Lee , HW , Lee , SS , Park , JO and Chae , KC . 1994 . Analysis of M[x]/G/1 queue with N policy and multiple vacations . Journal of Applied Probability , 31 : 467 – 496 .
  • Moreno , P . 2008 . Analysis of a Geo/G/1 queueing system with a generalized N-policy and setup-closedown times . Quality Technology and Quantitative Management , 5 : 111 – 128 .
  • Nocedal , J and Wright , SJ . 1999 . Numerical Optimization , NY : Springer .
  • Tadj , L and Choudhury , G . 2005 . Optimal design and control of queues . TOP , 13 : 359 – 412 .
  • Yadin , M and Naor , P . 1963 . Queueing systems with a removable service station . Operational Research Quarterly , 14 : 393 – 405 .
  • Yang , DY , Wang , KH and Wu , CH . 2010 . Optimization and sensitivity analysis of controlling arrivals in the queueing system with single working vacation . Journal of Computational and Applied Mathematics , 234 : 545 – 556 .

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