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Stochastics
An International Journal of Probability and Stochastic Processes
Volume 83, 2011 - Issue 4-6: Optimal stopping with Applications
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Original Articles

Analysis of production decisions under budget limitations

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Pages 583-609 | Received 06 Nov 2009, Accepted 25 Nov 2010, Published online: 10 Mar 2011

References

  • Abramowitz , M. and Stegun , I.A. 1965 . Handbook of Mathematical Functions , New York : Dover .
  • Alvarez , L.H.R. and Koskela , E. 2005 . Wicksellian theory of forest rotation under interest rate variability . J. Econ. Dyn. Control , 29 : 529 – 545 .
  • Baldursson , F.M. and Karatzas , I. 1997 . Irreversible investment and industry equilibrium . Finance Stoch. , 1 : 69 – 89 .
  • Bayraktar , E. and Egami , M. 2010 . On the one-dimensional optimal switching problem . Math. Oper. Res. , 35 : 140 – 159 .
  • Borodin , A.N. and Salminen , P. 2002 . Handbook of Brownian Motion – Facts and Formulae , 2nd ed. , Basel : Birkhäuser .
  • Brekke , K.A. and Øksendal , B. 1994 . Optimal switching in an economic activity under Uncertainty . SIAM J. Control. Optim. , 32 : 1021 – 1036 .
  • Brennan , M.J. and Schwartz , E.S. 1985 . Evaluating natural resource investments . J. Bus. , 58 : 135 – 157 .
  • Dixit , A. and Pindyck , R.S. 1994 . Investment Under Uncertainty , Princeton, NJ : Princeton University Press .
  • Duckworth , K. and Zervos , M. 2001 . A model for investment decisions with switching costs . Ann. Appl. Probab. , 11 : 239 – 260 .
  • Ethier , S.N. and Kurtz , T.G. 1986 . Markov Processes: Characterization and Convergence , New York : Wiley .
  • Fleming , W.H. and Soner , H.M. 2005 . Controlled Markov Processes and Viscosity Solutions , 2nd ed. , Berlin : Springer-Verlag .
  • Helmes , K. and Stockbridge , R.H. 2010 . Construction of the value function and optimal rules in optimal stopping of one-dimensional diffusions . Adv. Appl. Probab. , 42 : 158 – 182 .
  • Helmes , K. and Stockbridge , R.H. 2011 . Thinning and harvesting in stochastic forest models . J. Econ. Dyn. Control , 35 : 25 – 39 .
  • K. Helmes and R.H. Stockbridge, A novel analysis of entry-and-exit investment decisions, preprint
  • Ingersoll , J.E. and Ross , S.E. 1992 . Waiting to invest: Investment and uncertainty . J. Bus. , 65 : 1 – 29 .
  • Itô , K. and McKean , H.P. Jr. 1974 . Diffusion Process and their Sample Paths , New York : Springer-Verlag .
  • Johnson , T.C. and Zervos , M. 2010 . The explicit solution to a sequential switching problem with non-smooth data . Stochastics , 82 : 69 – 109 .
  • Kurtz , T.G. and Stockbridge , R.H. 1998 . Existence of Markov controls and characterization of optimal Markov controls . SIAM J. Control Optim. , 36 : 609 – 653 .
  • Kurtz , T.G. and Stockbridge , R.H. 2001 . Stationary solutions and forward equations for controlled and singular martingale problems . Electron. J. Probab. , 6 : 1 – 52 . Paper No. 14
  • Kushner , H.J. 2001 . Heavy Traffic Analysis of Controlled Queueing and Communication Networks , New York : Springer-Verlag .
  • Lumley , R.R. and Zervos , M. 2001 . A model for investments in the natural resource industry with switching costs . Math. Oper. Res. , 26 : 637 – 653 .
  • Øksendal , B. and Sulem , A. 2005 . Applied Stochastic Control of Jump Diffusions , Berlin : Springer .
  • Pham , H. and Ly Vath , V. 2007 . Explicit solution to an optimal switching problem in the two-regime case . SIAM J. Control Optim. , 46 : 395 – 426 .
  • Rogers , L.C.G. and Williams , D. 2000 . Diffusions, Markov Processes and Martingales , Vol. 2 , Cambridge : Cambridge University Press .
  • Sethi , S.P. and Thompson , G.L. 2000 . Optimal Control Theory: Applications to Management Science and Economics , 2nd ed. , Boston : Kluwer Academic Publishers .
  • Sødal , S. 2002 . The stochastic rotation problem: A comment . J. Econ. Dyn. Control , 26 : 509 – 515 .
  • Sødal , S. 2006 . Entry and exit decisions based on a discount factor approach . J. Econ. Dyn. Control , 30 : 1963 – 1968 .
  • Stockey , N.L. 2009 . The Economics of Inaction: Stochastic Control Models with Fixed Costs , Princeton, NJ : Princeton University Press .
  • Willassen , Y. 1998 . The stochastic rotation problem: A generalization of Faustmann's formula to stochastic forest growth . J. Econ. Dyn. Control , 22 : 573 – 596 .
  • Zervos , M. 2002 . A problem of sequential entry and exit problems combined with optimal stopping . SIAM J. Control Optim. , 42 : 397 – 421 .

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