Skip to main content

Part of the book series: Advances in Spatial Science ((ADVSPATIAL))

  • 354 Accesses

Abstract

The Kuhn-Tucker conditions for Lagrangian \(L_2: \) Let \((\overline{q},\overline{x},\overline{\pi},\overline{\varphi},\overline{\gamma}) \) be the saddle point of Lagrangian \(L_2.\) Then, the Kuhn-Tucker conditions for \(L_2 \) are as follows: \(y-\sum_{mn}am\overline{q}m=0 \)

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dong-Joo Moon .

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Moon, DJ. (2011). Appendices. In: Congestion-Prone Services Under Quality Competition. Advances in Spatial Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20189-9_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-20189-9_15

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20188-2

  • Online ISBN: 978-3-642-20189-9

  • eBook Packages: Business and EconomicsEconomics and Finance (R0)

Publish with us

Policies and ethics