Bounds and Approximations for the Fixed-Cycle Traffic-Light Queue

References

• Bailey N. T. J. On queueuing processes with bulk service. J. Roy. Statist. Soc. (1954) 16:80–87Google Scholar
• Beckmann M., McGuire C. B., Winsten C. V.Studies in the Economics of Transportation (1956) (Yale University Press, New Haven, CT) Google Scholar
• Darroch J. N. On the traffic-light queue. Ann. Math. Statist. (1964) 35:380–388Crossref, Google Scholar
• Denteneer T. J. J., Janssen A. J. E. M., van Leeuwaarden J. S. H. Moment series inequalities for the discrete-time bulk service queue. Math. Methods Oper. Res. (2005) 61:85–108Crossref, Google Scholar
• McNeill D. R. A solution to the fixed-cycle traffic light problem for compound Poisson arrivals. J. Appl. Probab. (1968) 5:624–635Crossref, Google Scholar
• Meissl P. Zufallsmodell einer Lichtsignalanlage mit mehrspurigem Stauraum. Mathematik-Technik-Wirtschaft (1963) 10(1):1–4and 10(2) 63–68Google Scholar
• Miller A. J. Settings for fixed-cycle traffic signals. Oper. Res. Quart. (1963) 14:373–386Crossref, Google Scholar
• Newell G. F. Queues for a fixed-cycle traffic light. Ann. Math. Statist. (1960) 31:589–597Crossref, Google Scholar
• Newell G. F. Approximation methods for queues with applications to the fixed-cycle traffic light. SIAM Rev. (1965) 7:223–240Crossref, Google Scholar
• Ohno K. Computational algorithm for a fixed-cycle traffic light problem for compound Poisson arrivals. Transportation Sci. (1978) 12:29–47Link, Google Scholar
• van Leeuwaarden J. S. H. Delay analysis for the fixed-cycle traffic-light queue. Transportation Sci. (2006) 40(2):189–199Link, Google Scholar
• Webster F. V. Traffic signal settings. Road Res. Laboratory Tech. Rep. (1958) 39Google Scholar
• Webster F. V., Cobbe B. M. Traffic signals. Road Res. Laboratory Tech. Rep. (1966) 56Google Scholar