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Original Articles

Optimal allocation of service rates in Jackson network of queues with total finite accommodating space

Pages 461-474 | Received 01 Jul 1980, Published online: 01 Dec 2008

References

  • Avriel , M. and Williams , A.C. 1970 . Complementary Geometric Programming . SLAM J. Appl. Math , 19 : 125 – 141 .
  • Beightler , C.S. and Phillips , D.T. 1976 . Applied Geometric Programming , N. Y : John Wiley and Sons .
  • Crabill , T.B. , Gross , D. and Magazine , M.J. 1977 . A Classified Bibliography of Research on Optimal Design and Control of Queues . Operations Research , 15 : 219 – 232 .
  • Duffin , R.J. and Peterson , E.L. 1972 . Geometric Programs Treated with Slack Variables . Journal of Applied Analysis , 2 : 255 – 267 .
  • Grassmann , W.K. 1973 . The Optimal Service Rates in the M/E k/1 and E k/M/i Queues with Balking and Reneging , Saskatoon, , Canada : College of Commerce, University of Saskatchewan . Technology Report No. WP 73-04
  • Grassmann , W.K. 1979 . The Economic Service Rate . Journal of Operational Research , 30 : 149 – 155 .
  • Gupta , P.K. and Verma , R.K. 1980 . Optimal Resource Allocation in a Complex Queuning System . Math Operationsforsch u Statist ser optimization , 11 : 507 – 512 .
  • Jackson , R.R.P. 1956 . Random Queueing Processes with Pnase type Service . journal of Royal Statistical Society , B18 : 129 – 132 .
  • Jefferson , J.R. 1957 . Network of Waiting Lines . Operations Research , 5 : 518 – 521 .
  • Jefferson , T.R. and Scott , C.H. 1978 . On Finding a point on the Relative Interior oi a Polyhedral Set and Degeneracy in Geometric Programming . Journal of Australian Mathematical Society , 5 : 487 – 494 . Applied Mathematics
  • Melamed , B. 1977 . “ Characterization of Poisson Streams in Jackson Queueing Network ” . In Computer Information and Control Engineering Program, Department of Industrial and Operations Engineering, Ann Arbor , Michigan, , U.S.A : Michigan University . Technical Report 77-2
  • Mine H. A Bibliography on Optimization in Queueing Systems 1978 Unpublished bibliography
  • Morse , P.M. 1958 . Queues, Inventories and Maintenance , New-York : John Wiley and Sons .
  • Sobel , M.J. 1974 . “ Optimal Operation, ot Queues, Mathematical Methods in Queueing Theory ” . In Lectures Notes in Economics and Mathematical Systems , 231 – 262 . Berlin : Springer-Verlag .
  • Stidham , S. and Pbabhu , N.U. “ Optimal Control of Queueing Systems. Mathematical Methods in Queueing Theory ” . In Lecture Notes in Economics and Mathematical Systems , 263 – 264 . Berlin : Springer-Verlag .
  • Verma , R.K. 1981 . Optimization in Queues by Resource Allocation . Ph. D. Thesis ,
  • Verma , R.K. 1981 . Optimal Tandem Queue with no Waiting Room. Math . Operatic nsforseh. u. Statist., ser. optimization , 12 : 623 – 637 .
  • Verma , R.K. “ Optimal Allocation of Service Rates for a Correlated Two-Server Queue ” . In Communicated for publication

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