Skip to main content

Covering Problem

  • Chapter
  • First Online:
Facility Location

Part of the book series: Contributions to Management Science ((MANAGEMENT SC.))

Abstract

In many covering problems, services that customers receive by facilities depend on the distance between the customer and facilities. In a covering problem the customer can receive service by each facility if the distance between the customer and facility is equal or less than a predefined number. This critical value is called coverage distance or coverage radius and shown by Dc.

Church and Revelle (1974) modeled the maximization covering problem. Covering problems are divided into two branches; tree networks and general networks, according to their graph. In addition, these problems are divided into two problems: Total covering and partial covering problems, based on covering all or some demand points.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  • Araz C, Hasan S, Irem O (2007) A fuzzy multi objective covering-based vehicle location model for emergency services. Comput Oper Res 34:705–726

    Article  Google Scholar 

  • Bautista J, Pereira J (2006) A GRASP algorithm to solve the unicost set covering problem. Comput Oper Res 34(10):3162–3173

    Article  Google Scholar 

  • Berman O, Krass D, Drezner Z (2003) The gradual covering decay location problem on a network. Eur J Oper Res 151(3):474–480

    Article  Google Scholar 

  • Chiang CI, Hwang MJ, Liu YH (2005) An alternative formulation for certain fuzzy set-covering problems. Math Comput Model 42:363–365

    Article  Google Scholar 

  • Church R, ReVelle C (1974) the maximal covering location problem. Papers Region Sci Assoc 32:101–118

    Article  Google Scholar 

  • Daskin MS (1995) Network and discrete location: Models, algorithms, and applications. Wiley, New York

    Book  Google Scholar 

  • Farahani R, Asgari N (2007) Combination of MCDM and covering techniques in a hierarchical model for facility location: A case study. Eur J Oper Res 176(3):1839–1858

    Article  Google Scholar 

  • Francis RL, McGinnis LF, White JA (1992) Facility layout and location: An analytical approach. Prentice Hall, Englewood Cliffs, NJ

    Google Scholar 

  • Hogan K, ReVelle C (1986) Concepts and applications of backup coverage. Manage Sci 32: 1434–1444

    Article  Google Scholar 

  • Hwang HS (2004) A stochastic set-covering location model for both ameliorating and deteriorating items. Comput Ind Eng 46:313–319

    Article  Google Scholar 

  • Jans R, Degraeve Z (2008) A note on a symmetrical set covering problem: the lottery problem. Eur J Oper Res 186(1):104–110

    Article  Google Scholar 

  • Jozefowieza N, Semetb F, Talbia EG (2007) The bi-objective covering tour problem. Comput Oper Res 34:1929–1942

    Article  Google Scholar 

  • Mirchandani PB, Francis RL (1990) Discrete location theory. Wiley, New York

    Google Scholar 

  • Pirkul H, Schilling DA (1991) The maximal covering location problem with capacities on total workload. Manage Sci 37:233–248.

    Article  Google Scholar 

  • Toregas C, Swain R, ReVelle C, Bergman L (1971) The location of emergency service facilities. Oper Res 19:1363–1373

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hamed Fallah .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Physica-Verlag Heidelberg

About this chapter

Cite this chapter

Fallah, H., Sadigh, A.N., Aslanzadeh, M. (2009). Covering Problem. In: Zanjirani Farahani, R., Hekmatfar, M. (eds) Facility Location. Contributions to Management Science. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-2151-2_7

Download citation

Publish with us

Policies and ethics