Multimodularity, Convexity, and Optimization Properties

References

• Altman E., Gaujal B., Hordijk A. Admission control in stochastic event graphs. IEEE Trans. Automatic Control (1997) . ForthcomingGoogle Scholar
• Altman E., Gaujal B., Hordijk A. Balanced sequences and optimal routing. JACM (1998a) . ForthcomingGoogle Scholar
• Altman E., Gaujal B., Hordijk A., Koole G. Optimal admission, routing and service assignment control: The case of single buIer queues. CDC (1998b) (IEEE, Tampa Bay, FL) Crossref, Google Scholar
• Bartroli , Marcelo , Stidham Shaler. Multimodular triangulations. (1988) . Technical Report T.R. N. UNC/OR/TR-88/7, University of North Carolina at Chapel Hill, Chapel Hill, NCGoogle Scholar
• Glasserman P., Yao D. D. Monotone optimal control of permutable gsmps. Math. Oper. Res. (1994) 19:449–476Link, Google Scholar
• Hajek B. Extremal splittings of point processes. Math. Oper. Res. (1985) 10(4):543–556Link, Google Scholar
• ITU-T, Recommendation 1371Traffic control and congestion control in B-ISDN 1995. Perth, AustraliaGoogle Scholar
• Liu Z., Righter R. Optimal load balancing on distrinuted homogeneous unreliable processors. J. Oper. Res. (1998) 46:563–573Link, Google Scholar
• Marshall A. W., Olkin I.Inequalities: Theory of Majorization and its Applications, Vol. 143. Mathematics in Science and Engineering (1979) (Academic Press, New York) Google Scholar
• Rockafellar R. T.Convex Analysis (1972) (Princeton University Press, Princeton, NJ) Google Scholar
• Sinai Y. G.Introduction to Ergodic Theory (1976) (Princeton University Press, Princeton, NJ) Google Scholar
• Sznajder R., Filar J. A. Some comments on a theorem of hardy and littlewood. J. Optim. Theory and Appl. (1992) 75(1):201–208Crossref, Google Scholar
• Weber R. R., Stidham S. Optimal control of service rates in networks of queues. Adv. Appl. Probab. (1987) 19:202–218Crossref, Google Scholar