Heavy Traffic Analysis of Polling Systems in Tandem

References

• Boxma O. J., Takagi H. Special issue on polling systems. Queueing Systems (1992) 11(1, 2Google Scholar
• Coffman E. G., Puhalskii A. A., Reiman M. I. Polling systems with zero switchover times: A heavy-traffic averaging principle. Ann. Appl. Probab. (1995) 5:681–719Crossref, Google Scholar
• Coffman E. G., Puhalskii A. A., Reiman M. I. Polling systems in heavy-traffic: A Bessel process limit. Math. Oper. Res. (1998) 23:257–304Link, Google Scholar
• Dai J. G., Harrison J. M. Reflected Brownian motion in an orthant: Numerical methods for steady-state analysis. Ann. Appl. Probab. (1992) 2:65–86Crossref, Google Scholar
• Foschini G. J. (1980) . Personal communicationGoogle Scholar
• Goldratt E. M., Cox J.The Goal (1984) (North River Press, Inc., Croton-on-Hudson, NY) Google Scholar
• Harrison J. M.Brownian Motion and Stochastic Flow Systems (1985) (John Wiley, New York) Google Scholar
• Harrison J. M., Williams R. J. Multidimensional reflected Brownian motions having exponential stationary densities. Ann. Probab. (1986) 15:115–137Crossref, Google Scholar
• Harrison J. M., Williams R. J. Brownian models of open queueing networks with homogeneous customer populations. Stochastics (1987) 22:77–115Crossref, Google Scholar
• Hofri M., Ross K. W. On the optimal control of two queues with server set-up times and its analysis. SIAM J. Comput. (1987) 16:399–420Crossref, Google Scholar
• Karmarkar U. S., Kekre S., Kekre S. Lotsizing in multiitem multi-machine job shops. IIE Trans. (1985) 17:290–298Crossref, Google Scholar
• Peterson W. P. A heavy traffic limit theorem for networks of queues with multiple customer types. Math. Oper. Res. (1991) 16:90–118Link, Google Scholar
• Reiman M. I. Open queueing networks in heavy traffic. Math. Oper. Res. (1984) 9:441–458Link, Google Scholar
• Reiman M. I., Wein L. M. Heavy traffic analysis of polling systems in tandem. (1999) . Online version of present paper: http://grace.wharton.upenn.edu/~harker/opsresearch.htmlGoogle Scholar
• Takagi H.Analysis of Polling Systems (1986) (MIT Press, Cambridge, MA) Google Scholar
• Wein L. M. Due-date setting and priority sequencing in a multiclass M/G/1queue. Management Sci. (1991) 37:834–850Link, Google Scholar
• Yamada K. Diffusion approximations for storage processes with general release rules. Math. Oper. Res. (1984) 9:459–470Link, Google Scholar
• Yamada K. Multi-dimensional Bessel processes as heavy traffic limits of certain tandem queues. Stochastic Processes Their Appl. (1986) 23:35–56Crossref, Google Scholar