Drift Control with Changeover Costs

References

• Ata B., Harrison J. M., Shepp L. A. Drift rate control of a Brownian processing system. Ann. Appl. Probab. (2005) 15(2):1145–1160Crossref, Google Scholar
• Avram F., Karaesmen F. A method for computing double band policies for switching between two diffusions. Probab. Engrg. Sci. (1996) 10(4):569–590Crossref, Google Scholar
• Chernoff H., Petkau A. J. Optimal control of a Brownian motion. SIAM J. Appl. Math. (1978) 34(4):717–731Crossref, Google Scholar
• Chvatal V.Linear Programming (1983) (W. H. Freeman, New York) Google Scholar
• Feldman R. M., Valdez-Flores C.Applied Probability and Stochastic Processes (1996) (PWS Publishing Co., Boston) Google Scholar
• Ghosh A. P., Weerasinghe A. P. Optimal buffer size for a stochastic processing network in heavy traffic. Queueing Systems (2007) 55(3):147–159Crossref, Google Scholar
• Harrison J. M.Brownian Motion and Stochastic Flow Systems (1985) (Wiley, New York) Google Scholar
• Harrison J. M., Williams R. J. Brownian models of open queueing networks with homogeneous customer populations. Stochastics (1987a) 22(2):77–115Crossref, Google Scholar
• Harrison J. M., Williams R. J. Multidimensional reflected Brownian motions having exponential stationary distributions. Ann. Probab. (1987b) 15(1):115–137Crossref, Google Scholar
• Helmes K., Stockbridge R. Numerical comparison of controls and verification of optimality for stochastic control problems. J. Optim. Theory Appl. (2000) 106(1):107–127Crossref, Google Scholar
• Helmes K., Stockbridge R., Ethier S., Feng J., Stockbridge R. Determining the optimal control of singular stochastic processes using linear programming. Markov Processes and Related Fields: A Festschrift in Honor of Thomas G. Kurtz (2008) (Institute of Mathematical Statistics, Beachwood, OH) 137–153IMS Lecture NotesCrossref, Google Scholar
• Kumar S., Muthuraman K. A numerical method for solving singular stochastic control problems. Oper. Res. (2004) 52(4):563–582Link, Google Scholar
• Kushner H. J., Dupuis P.Numerical Methods for Stochastic Control Problems in Continuous Time (2001) 242nd ed.(Springer-Verlag, New York) Applications of Mathematics: Stochastic Modelling and Applied ProbabilityCrossref, Google Scholar
• Liao Y.-C. Switching and impulsive control of reflected diffusion. Appl. Math. Optim. (1984) 11(1):153–159Crossref, Google Scholar
• Manne A. S. Linear programming and sequential decisions. Management Sci. (1960) 6(3):259–267Link, Google Scholar
• Ormeci Matoglu M., Vande Vate J. A technical note on drift control with changeover costs. (2010) . Accessed October 26, 2010, http://www.isye.gatech.edu/∼jvandeva/DriftControlNote.pdfGoogle Scholar
• Perry D., Bar-Lev S. K. A control of a Brownian storage system with two switchover drifts. Stochastic Anal. Appl. (1989) 7(1):103–115Crossref, Google Scholar
• Protter P.Stochastic Integration and Differential Equations (2004) 2 ed.(Springer-Verlag, Berlin) Google Scholar
• Rath J. H. The optimal policy for a controlled Brownian motion process. SIAM J. Appl. Math. (1977) 32(1):115–125Crossref, Google Scholar
• Veinott A. F. Extreme points of Leontief substitution systems. Linear Algebra Appl. (1968) 1(2):181–194Crossref, Google Scholar