[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
Skip to main content

Optimizing strategic planning in median systems subject to uncertain disruption and gradual recovery

  • Conference paper
  • First Online:
Operations Research Proceedings 2011

Part of the book series: Operations Research Proceedings ((ORP))

  • 2760 Accesses

Abstract

This paper addresses the capacity planning of facilities in median systems at an early stage so that, if potential disruptions arise and forecast demand is misestimated, overall costs are minimized.We consider some realistic features such as uncertainty in the magnitude, time and location of disruptions as well as gradual recovery of disrupted facilities over time. The proposed two-stage stochastic linear program (2-SLP) is solved in a computationally efficient way via an enhanced implementation of the stochastic decomposition method. To ascertain the quality of the solutions obtained some deterministic bounds are calculated.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
GBP 19.95
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
GBP 143.50
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
GBP 179.99
Price includes VAT (United Kingdom)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Birge, J.R., Louveaux, F.: A multi-cut algorithm for two stage linear programs. European Journal of Operational Research. 34, 384–392 (1988)

    Article  Google Scholar 

  2. Hakimi, S.L.: Optimum location of switching centers and the absolute centers and medians of a graph. Operations Research, 113, 544–559 (1964)

    Google Scholar 

  3. Higle, J.L., Sen, S.: Stochastic Decomposition: A StatisticalMethod for Large Scale Stochastic Linear Programming. Kluwer Academic Publishers (1996)

    Google Scholar 

  4. Higle, J.L., Lowe, W.W., Odio, R.: Conditional stochastic decomposition: an algorithm interface for optimization and simulation. Operations Research 42(2), 311-322 (1994)

    Article  Google Scholar 

  5. Liberatore, F., Scaparra, M.P., Daskin, M.S.: Optimization methods for hedging against disruptions with ripple effects in location analysis. Omega 40, 21–30 (2012)

    Article  Google Scholar 

  6. Losada, C., Scaparra, M.P., Church, R.L., Daskin, M.S.: The stochastic interdiction median problem with disruption intensity levels. Working paper no. 187, University of Kent, Kent Business School, Canterbury, Kent, UK (2010)

    Google Scholar 

  7. Losada, C., Scaparra, M.P., O’Hanley, J.R. Optimizing system resilience: a facility protection model with recovery time. Forthcoming in the European Journal of Operational Research, DOI information: 10.1016/j.ejor.2011.09.044

  8. Morton, D.P., Wood, R.K.: Restricted-recourse bounds for stochastic linear programming. Operations Research 47(6), 943–956 (1999)

    Article  Google Scholar 

  9. Ruszczyński A. A regularized decomposition method for minimizing a sum of polyhedral functions. Mathematical Programming 35, 309–333 (1986)

    Google Scholar 

  10. Swain, R.: A decomposition algorithm for a class of facility location problems. Ph.D. Diss., Cornell University (1971)

    Google Scholar 

  11. Slyke, R.M. Van, Wets, R.J.B.: L-Shaped programs with applications to optimal control and stochastic linear programming. SIAM Journal of Applied Mathematics 17, 638–663 (1969)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chaya Losada .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Losada, C., Suzuki, A. (2012). Optimizing strategic planning in median systems subject to uncertain disruption and gradual recovery. In: Klatte, D., Lüthi, HJ., Schmedders, K. (eds) Operations Research Proceedings 2011. Operations Research Proceedings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29210-1_47

Download citation

Publish with us

Policies and ethics