A Batch Arrival Queue with a Second Optional Service Channel Under N-Policy

REFERENCES

• Baba , Y. 1986 . On the M X /G/1 queue with vacation time . Operations Research Letters 5 : 93 – 98 . [CSA]
   Web of Science ®Google Scholar
• Bertsimas , D. , and X. Papaconstantinou . 1988 . On the steady state solution of the M/C 2(a,b)/S queueing system . Transportation Sciences 22 : 125 – 138 . [CSA]
   Web of Science ®Google Scholar
• Chae , K. C. , and H. W. Lee . 1995 . M X /G/1 vacation model with N-policy: Heuristic interpretation of the mean waiting time . Journal of Operational Research Society 46 : 258 – 264 . [CSA]
   Web of Science ®Google Scholar
• Chaudhry , M. L. 1979 . The queueing system M X /G/1 and its ramifications . Navel Research Logistic Qurt 26 : 667 – 674 . [CSA]
   Google Scholar
• Choudhury , G. , and H. K. Baruah . 2000 . Analysis of a Poisson queue with a threshold policy and a grand vacation process: An analytic approach . Sankhya , Series-B 62 : 303 – 316 . [CSA]
   Google Scholar
• Choudhury , G. 2000 . An M X /G/1 queueing system with a setup period and a vacation period . Queueing System 36 : 23 – 28 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Choudhury , G. 2002 . A batch arrival queue with a vacation time under single vacation policy . Computer and Operation Research 29 ( 14 ): 1941 – 11955 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Cox , D. R. 1955 . The analysis of non Markovian stotchastic processes by inclusion of supplementary variables . Cambridge Philosophical Society 51 : 433 – 441 . [CSA]
   Google Scholar
• Doshi , B. T. 1986 . Queueing system with vacation: A survey . Queueing System 1 : 29 – 66 . [CSA] [CROSSREF]
   Google Scholar
• Doshi , B. T. 1990 . Single server queue with vacations . In: Takagi , H. , ed. Stochastic Analysis of Computer and Communication System . North Holland : Elsevier Science , pp. 217 – 265 .
   Google Scholar
• Doshi , B. T. 1991 . Analysis of a two phase queueing system with general service times . Operations Research Letters 10 : 265 – 272 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Fuhrmann , S. W. , and R. B. Cooper . 1985 . Stochastic decomposition in M/G/1 queue with generalized vacation . Operation Research 33 : 1117 – 1129 . [CSA]
   Web of Science ®Google Scholar
• Kalita , S. , and G. Choudhury . 2002 . Some aspects of a batch arrival Poisson queue with N-policy . Stochastic Modeling and Applications 5 ( 2 ): 21 – 32 . [CSA]
   Google Scholar
• Keilson , J. , and L. D. Servi . 1986 . Oscillating random walk models for G1/G/1 vacation systems with Bernoulli schedules . Journal of Applied Probability 23 : 790 – 802 . [CSA]
   Web of Science ®Google Scholar
• Krishna , C. M. , and Y. H. Lee . 1990. A study of two phase queueing service. Operations Research Letters 9:91–97. [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Lee , H. S. , and M. M. Srinivasan . 1989 . Control policies for M X /G/1 queueing system . Management Science 35 : 708 – 721 . [CSA]
   Web of Science ®Google Scholar
• Lee , H. W. , and S. S. Lee , and K. C. Chae . 1994 . Operating characteristics of M X /G/1 queue with N-policy . Queueing Systems 15 : 387 – 399 . [CSA] [CROSSREF]
   Google Scholar
• Lee , H. W. , S. S. Lee , J. O. Park , and K. C. Chae . 1994 . Analysis of the M X /G/1 queue with N-policy and multiple vacations . Journal of Applied Probability 31 : 476 – 496 . [CSA]
   Web of Science ®Google Scholar
• Lee , H. W. , S. S. Lee , S. H. Yoon , and K. C. Chae . 1995 . Batch arrival queue with N-policy and single vacations . Computer and Operation Research 22 : 175 – 189 . [CSA]
   Web of Science ®Google Scholar
• Madan , K. C. 2000 . An M/G/1 queue with second optional service . Queuing Systems 34 : 37 – 46 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Madan , K. C. , and W. Abu-Dayyeh . 2002 . Restricted admissiblity of batches in to an M/G/1 type bulk queue with modified Bernoulli schedule server vacations . ESSAIM: Probability and Statistics 6 : 113 – 125 . [CSA]
   Google Scholar
• Medhi , J. 1997 . Single server queueing system with Poisson input: A review of some recent development . In: Balakrishnan , N. , ed. Advances in Combinatorial Methods and Application to Probability and Statistics . Boston , MA : Brikhausur , pp. 317 – 338 .
   Google Scholar
• Medhi , J. 2002 . A single server Poisson arrival queue with a second optional channel . Queueing Systems 42 : 239 – 242 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Pakes , A. G. 1969 . Some conditions for ergodicity and recurrence of Markov chains . Operations Research 17 : 1058 – 1061 . [CSA]
   Web of Science ®Google Scholar
• Rosenberg , E. , and U. Yechiali . 1993 . The M X /G/1 queue with single and multiple vacations under LIFO service regime . Operations Research Letters 14 : 171 – 179 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Sahbazov , A. A. 1962 . A problem of service with non ordinary demand flow . Soviet Mathematics Doklady 3 : 1000 – 1003 . [CSA]
   Google Scholar
• Selvam , D. D. , and V. Sivasankaran . 1994 . A two phase queueing system with servers vacations . Operations Research Letters 15 : 63 – 168 . [CSA]
   Google Scholar
• Sennott , L. I. , and P. A. Humblet , and R. L. Tweedie . 1983 . Mean drifts and non ergodicity of Markov chains . Operations Research 31 : 783 – 789 . [CSA]
   Web of Science ®Google Scholar
• Takagi , H. 1991 . Queueing Analysis: A Foundation of Performance Evaluation . Vol. 1. North Holland : Amsterdam .
   Google Scholar
• Teghem , J. 1986 . Control of the service process in queueing system . European Journal of Operations Research 23 : 141 – 158 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Teghem , J. 1990 . On a decomposition result for a class of vacation queueing system . Journal of Applied Probability 27 : 227 – 231 . [CSA]
   Web of Science ®Google Scholar
• Wolff , R. W. 1982 . Poisson arrival see time average . Operations Research 30 : 223 – 231 . [CSA]
   Web of Science ®Google Scholar