Skip to main content
Erschienen in: Wireless Networks 6/2010

01.08.2010

Computational aspects of optimal schedules with power control and multiple bitrates selection in multihop wireless networks

verfasst von: Peng Wang, Stephan Bohacek

Erschienen in: Wireless Networks | Ausgabe 6/2010

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

A significant amount of research on optimal scheduling has focused on the case where links can transmit with only a single bit-rate and a single transmission power. This paper develops techniques to accommodate multiple bit-rates and multiple transmission powers as well as a continuum of transmission powers. Optimizing over a large number of bit-rates and transmission powers typically increases the computed throughput at the expense of increasing the computation time. This paper examines the trade-off between computed throughput and computation time, with emphasis on the case when the relationship between bit-rate and SINR is the same as it is for 802.11a/g. One finding of this paper is a progression of Pareto optimal schemes that increases the computed capacity. A second finding is that optimizing over two transmission powers and two or three bit-rates achieves nearly the same throughput as optimizing over a continuum of transmission powers and all supported bit-rates. However, optimizing over a continuum of transmission powers and all supported bit-rates is far more computationally complex than optimizing over two transmission powers and a few bit-rates.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Fußnoten
1
Important exceptions include [12] and [13].
 
2
Note that 802.11 a supports eight bit-rates, and yet Fig. 1 only shows seven bit-rates, 9 Mbps is missing. The reason is that the relationships between SNR and PSP at 9 Mbps and at 12 Mbps are the same. Thus, there is no need to consider the 9 Mbps bit-rate.
 
3
Gateways have both wired and wireless interfaces, whereas wireless routers only have wireless interfaces.
 
Literatur
1.
Zurück zum Zitat Alekseev, V. E., & Lozin, V. V. (2000). Augmenting graphs for independent sets. Rutgers Center of Operations Research, Tech. Rep. 59-2000. Alekseev, V. E., & Lozin, V. V. (2000). Augmenting graphs for independent sets. Rutgers Center of Operations Research, Tech. Rep. 59-2000.
2.
Zurück zum Zitat Arikan, E. (1984). Some complexity results about packet radio networks. IEEE Transactions on Information Theory, 30, 681– 685.MATHCrossRefMathSciNet Arikan, E. (1984). Some complexity results about packet radio networks. IEEE Transactions on Information Theory, 30, 681– 685.MATHCrossRefMathSciNet
3.
Zurück zum Zitat Bertsekas, D. P. (2003). Nonlinear programming. Belmont, MA: Athena Scientific. Bertsekas, D. P. (2003). Nonlinear programming. Belmont, MA: Athena Scientific.
5.
Zurück zum Zitat Bohacek, S., & Wang, P. (2007). Toward tractable computation of the capacity of multihop wireless networks. In IEEE infocom (pp. 2099–2107). Bohacek, S., & Wang, P. (2007). Toward tractable computation of the capacity of multihop wireless networks. In IEEE infocom (pp. 2099–2107).
6.
Zurück zum Zitat Brar, G., Blough, D. M., & Santi, P. (2006). Computationally efficient scheduling with the physical interference model for throughtput improvment in wireless mesh networks. In Mobicom (pp. 2–13). Brar, G., Blough, D. M., & Santi, P. (2006). Computationally efficient scheduling with the physical interference model for throughtput improvment in wireless mesh networks. In Mobicom (pp. 2–13).
7.
Zurück zum Zitat Bui, L., Eryilmaz, A., Srikant, R., & Wu, X. (2006). Joint asynchronous congestion control and distributed scheduling for multi-hop wireless networks. In IEEE infocom (pp. 1–12). Bui, L., Eryilmaz, A., Srikant, R., & Wu, X. (2006). Joint asynchronous congestion control and distributed scheduling for multi-hop wireless networks. In IEEE infocom (pp. 1–12).
8.
Zurück zum Zitat Catrein, D., Imhof, L. A., & Mathar, R. (2004). Power control, capacity, and duality of uplink and downlink in cellular CDMA systems. IEEE Transactions on Communications, 52(10), 1777–1785.CrossRef Catrein, D., Imhof, L. A., & Mathar, R. (2004). Power control, capacity, and duality of uplink and downlink in cellular CDMA systems. IEEE Transactions on Communications, 52(10), 1777–1785.CrossRef
9.
Zurück zum Zitat Chen, G. H., Kuo, M. T., & Sheu, J. P. (1988). An optimal time algorithm for finding a maximum weight independent set in a tree. BIT, 23, 353–356.CrossRefMathSciNet Chen, G. H., Kuo, M. T., & Sheu, J. P. (1988). An optimal time algorithm for finding a maximum weight independent set in a tree. BIT, 23, 353–356.CrossRefMathSciNet
10.
Zurück zum Zitat Chen, L., Low, S.H., Chiang, M., & Doyle, J.C. (2006). Cross-layer congestion control, routing and scheduling design in ad hoc wireless networks. In IEEE infocom (pp. 1–13). Chen, L., Low, S.H., Chiang, M., & Doyle, J.C. (2006). Cross-layer congestion control, routing and scheduling design in ad hoc wireless networks. In IEEE infocom (pp. 1–13).
11.
Zurück zum Zitat Chen, L., Low, S.H., & Doyle, J.C. (2005). Joint congestion control and media access control design for wireless ad hoc networks. In Proceedings of IEEE INFOCOM (pp. 2212–2222), March. Chen, L., Low, S.H., & Doyle, J.C. (2005). Joint congestion control and media access control design for wireless ad hoc networks. In Proceedings of IEEE INFOCOM (pp. 2212–2222), March.
12.
Zurück zum Zitat Chiang, M. (2005). Balancing transport and physical layers in wireless multihop networks: Jointly optimal congestion control and power control. IEEE Journal of Selected Areas on Communications, 23, 104–116.CrossRef Chiang, M. (2005). Balancing transport and physical layers in wireless multihop networks: Jointly optimal congestion control and power control. IEEE Journal of Selected Areas on Communications, 23, 104–116.CrossRef
13.
Zurück zum Zitat Cruz, R., & Santhanam, A. (2003). Optimal routing, link scheduling and power control in multi-hop wireless networks. In IEEE infocom (pp. 702–711), March. Cruz, R., & Santhanam, A. (2003). Optimal routing, link scheduling and power control in multi-hop wireless networks. In IEEE infocom (pp. 702–711), March.
14.
Zurück zum Zitat Edmonds, J. (1965). Paths, trees, and flowers. Canadian Journal of Mathematicas, 17, 449–467.MATHMathSciNet Edmonds, J. (1965). Paths, trees, and flowers. Canadian Journal of Mathematicas, 17, 449–467.MATHMathSciNet
15.
Zurück zum Zitat ElBatt, T., & Ephremides, A. (2004). Joint scheduling and power control for wireless ad-hoc networks. IEEE Transactions on Wireless Communications, 3(1), 74–85.CrossRef ElBatt, T., & Ephremides, A. (2004). Joint scheduling and power control for wireless ad-hoc networks. IEEE Transactions on Wireless Communications, 3(1), 74–85.CrossRef
16.
Zurück zum Zitat Fang, Z., & Bensaou, B. (2004). Fair bandwidth sharing algorithms based on game theory frameworks for wireless ad-hoc networks. In IEEE infocom (pp. 1284–1295). Fang, Z., & Bensaou, B. (2004). Fair bandwidth sharing algorithms based on game theory frameworks for wireless ad-hoc networks. In IEEE infocom (pp. 1284–1295).
17.
Zurück zum Zitat Gronkvist, J., & Hansson, A. (2001). Comparison between graph-based and interference-BAsed STDMA scheduling. In MobiHoc. Gronkvist, J., & Hansson, A. (2001). Comparison between graph-based and interference-BAsed STDMA scheduling. In MobiHoc.
18.
Zurück zum Zitat Grotschel, M., Lovasz, L., & Schrijver, A. (1993). Geometric algorithms and combinatorial optimization. Berlin: Springer. Grotschel, M., Lovasz, L., & Schrijver, A. (1993). Geometric algorithms and combinatorial optimization. Berlin: Springer.
19.
Zurück zum Zitat Halldórsson, M. M., (2004). Approximations of independent sets in graphs. In Approximation algorithms for combinatiorial optimization (pp. 24–45). Berlin/Heidelberg: Springer. Halldórsson, M. M., (2004). Approximations of independent sets in graphs. In Approximation algorithms for combinatiorial optimization (pp. 24–45). Berlin/Heidelberg: Springer.
20.
Zurück zum Zitat Hastad, J. (1996). Clique is hard to approximate within n 1-ε. In Proceedings of the 37th annual Symposium on foundations of computer science (pp. 627–636). Hastad, J. (1996). Clique is hard to approximate within n 1-ε. In Proceedings of the 37th annual Symposium on foundations of computer science (pp. 627–636).
21.
Zurück zum Zitat Jain, K., Padhye, J., Padmanabhan, V., & Qiu, L. (2003). Impact of interference on multi-hop wireless network performance. In Proceedings of ACM MobiCom (pp. 66–80). San Diego, CA, September. Jain, K., Padhye, J., Padmanabhan, V., & Qiu, L. (2003). Impact of interference on multi-hop wireless network performance. In Proceedings of ACM MobiCom (pp. 66–80). San Diego, CA, September.
22.
Zurück zum Zitat Jung, E.S., & Vaidya, N.H. (2002). A power control MAC protocol for ad hoc networks. In ACM MobiCom (pp. 36–47). Jung, E.S., & Vaidya, N.H. (2002). A power control MAC protocol for ad hoc networks. In ACM MobiCom (pp. 36–47).
23.
Zurück zum Zitat Kako, A., One, T., Hirata, T., & Halldorsson, M. M. (2005). Approximation algorithms for the weighted independent set problem. In Proc. of graph-theoretic concepts in computer science, 31st international workshop, WG 2005, June 2005, pp. 341–350. Available at: http://www.hi.is/~mmh/papers/WIS_WG.pdf. Kako, A., One, T., Hirata, T., & Halldorsson, M. M. (2005). Approximation algorithms for the weighted independent set problem. In Proc. of graph-theoretic concepts in computer science, 31st international workshop, WG 2005, June 2005, pp. 341–350. Available at: http://​www.​hi.​is/​~mmh/​papers/​WIS_​WG.​pdf.
24.
Zurück zum Zitat Karp, R. M. (1972). Reducibility among combinatorial problems. In R. E. Miller, & J. W. Thatcher (Eds.), Complexity of computer computations (pp. 85–103). New York: Plenum Press. Karp, R. M. (1972). Reducibility among combinatorial problems. In R. E. Miller, & J. W. Thatcher (Eds.), Complexity of computer computations (pp. 85–103). New York: Plenum Press.
25.
Zurück zum Zitat Kashyap, A., Sengupta, S., Bhatia, R., & Kodialam, M. (2007). Two-phase routing, scheduling and power control for wireless mesh networks with variable traffic. In SIGMETRIC (pp. 85–96). Kashyap, A., Sengupta, S., Bhatia, R., & Kodialam, M. (2007). Two-phase routing, scheduling and power control for wireless mesh networks with variable traffic. In SIGMETRIC (pp. 85–96).
26.
Zurück zum Zitat Kawadia V., & Kumar, P. R. (2003). Power control and clustering in ad hoc networks. In IEEE infocom (pp. 459–469). Kawadia V., & Kumar, P. R. (2003). Power control and clustering in ad hoc networks. In IEEE infocom (pp. 459–469).
27.
Zurück zum Zitat Kelly, F., Maulloo, A., & Tan, D. (1998). Rate control in communication networks: Shadow prices, proportional fairness and stability. Journal of the Operational Research Society, 49, 237–252.MATH Kelly, F., Maulloo, A., & Tan, D. (1998). Rate control in communication networks: Shadow prices, proportional fairness and stability. Journal of the Operational Research Society, 49, 237–252.MATH
28.
Zurück zum Zitat Kelly, F. P. (1997). Charging and rate control for elastic traffic. European Transactions on Telecommunications, 8, 33–37.CrossRef Kelly, F. P. (1997). Charging and rate control for elastic traffic. European Transactions on Telecommunications, 8, 33–37.CrossRef
29.
Zurück zum Zitat Kim, D. (1999). Rate-regulated power control for supporting flexible transmission in future CDMA mobile networks. IEEE Journal of Selected Areas Communications, 17(5), 968–977.CrossRef Kim, D. (1999). Rate-regulated power control for supporting flexible transmission in future CDMA mobile networks. IEEE Journal of Selected Areas Communications, 17(5), 968–977.CrossRef
30.
Zurück zum Zitat Kim, S. W., & Lee, Y. H. (2000). Combined rate and power adaptation in DS/CDMA communications over nakagami fading channels. IEEE Transactions on Communications, 48(1), 162–168.CrossRef Kim, S. W., & Lee, Y. H. (2000). Combined rate and power adaptation in DS/CDMA communications over nakagami fading channels. IEEE Transactions on Communications, 48(1), 162–168.CrossRef
31.
Zurück zum Zitat Kutner, M. H., Neter, J., Nachtsheim, C., Nachtsheim, C. J., & Neter, J. (2004). Applied linear regression models (4th ed.). New York: McGraw-Hill. Kutner, M. H., Neter, J., Nachtsheim, C., Nachtsheim, C. J., & Neter, J. (2004). Applied linear regression models (4th ed.). New York: McGraw-Hill.
32.
Zurück zum Zitat Lin, X., & Shroff, N. B. (2006). The impact of imperfect scheduling on cross-layer congestion control in wireless networks. IEEE/ACM Transactions on Networking, 14(2), 302–315.CrossRef Lin, X., & Shroff, N. B. (2006). The impact of imperfect scheduling on cross-layer congestion control in wireless networks. IEEE/ACM Transactions on Networking, 14(2), 302–315.CrossRef
33.
Zurück zum Zitat Low, S. H. (2003). A duality model of TCP and queue management algorithms. IEEE/ACM Transactions on Networking, 11, 525–536.CrossRef Low, S. H. (2003). A duality model of TCP and queue management algorithms. IEEE/ACM Transactions on Networking, 11, 525–536.CrossRef
34.
Zurück zum Zitat Matsui, T. (1998). Approximation algorithms for maximum independent set problems and fractional coloring problems on unit disk graphs. In JCDCG (pp. 194–200). Matsui, T. (1998). Approximation algorithms for maximum independent set problems and fractional coloring problems on unit disk graphs. In JCDCG (pp. 194–200).
35.
Zurück zum Zitat Minty, G. (1980). On maximal independent sets of vertices in claw-free graphs. Journal of Combinatorial Theory, B(28), 284–304.CrossRefMathSciNet Minty, G. (1980). On maximal independent sets of vertices in claw-free graphs. Journal of Combinatorial Theory, B(28), 284–304.CrossRefMathSciNet
36.
Zurück zum Zitat Mo, J., & Walrand, J. (2000). Fair end-to-end window-based congestion control. IEEE/ACM Transactions on Networking, 8(5), 556–567.CrossRef Mo, J., & Walrand, J. (2000). Fair end-to-end window-based congestion control. IEEE/ACM Transactions on Networking, 8(5), 556–567.CrossRef
37.
Zurück zum Zitat Muqattash, A., & Krunz, M. (2005). POWMAC: A single-channel power-control protocol for throughput enhancement in wireless ad hoc networks. IEEE Journal on Selected Areas in Communications, 23(5), 1067–1084.CrossRef Muqattash, A., & Krunz, M. (2005). POWMAC: A single-channel power-control protocol for throughput enhancement in wireless ad hoc networks. IEEE Journal on Selected Areas in Communications, 23(5), 1067–1084.CrossRef
38.
Zurück zum Zitat Narayanaswamy, S., Kawadia, V., Sreenivas, R. S., & Kumar, P. R. (2002). Power control in ad hoc networks: Theory, architecture, algorithm, and implementation of the COMPOW protocol. In European Wireless Conference (pp. 156–162). Narayanaswamy, S., Kawadia, V., Sreenivas, R. S., & Kumar, P. R. (2002). Power control in ad hoc networks: Theory, architecture, algorithm, and implementation of the COMPOW protocol. In European Wireless Conference (pp. 156–162).
39.
Zurück zum Zitat Nocedal, J., & Wright, S., (2000). Numerical optimization. Berlin: Springer. Nocedal, J., & Wright, S., (2000). Numerical optimization. Berlin: Springer.
40.
Zurück zum Zitat Radunovic B., & Boudec, J.-Y. L. (2004). When power adaptation is useless or harmful. EPFL, Tech. Rep. IC/2004/60. Radunovic B., & Boudec, J.-Y. L. (2004). When power adaptation is useless or harmful. EPFL, Tech. Rep. IC/2004/60.
41.
Zurück zum Zitat Sakai, S., Togasaki, M., & Yamazaki, K. (2003). A note on greedy algorithms for the maximum weighted independent set problem. Discrete Applied Mathematics, 126, 313–322.MATHCrossRefMathSciNet Sakai, S., Togasaki, M., & Yamazaki, K. (2003). A note on greedy algorithms for the maximum weighted independent set problem. Discrete Applied Mathematics, 126, 313–322.MATHCrossRefMathSciNet
42.
Zurück zum Zitat Sridhara, V., & Bohacek, S. (2007). Realistic propagation simulation of urban mesh networks. The International Journal of Computer and Telecommunications Networking Computer Networks and ISDN Systems (COMNET), 51(12), 3392–3412.MATH Sridhara, V., & Bohacek, S. (2007). Realistic propagation simulation of urban mesh networks. The International Journal of Computer and Telecommunications Networking Computer Networks and ISDN Systems (COMNET), 51(12), 3392–3412.MATH
43.
Zurück zum Zitat Subramanian, A., & Sayed, A. H. (2005). Joint rate and power control algorithms for wireless networks. IEEE Transactions on Signal Process, 53(11), 4204–4214.CrossRefMathSciNet Subramanian, A., & Sayed, A. H. (2005). Joint rate and power control algorithms for wireless networks. IEEE Transactions on Signal Process, 53(11), 4204–4214.CrossRefMathSciNet
44.
Zurück zum Zitat Valiente, G. (2003). A new simple algorithm for the maximum-weight independent set problem on circle graphs (Vol. 2906, pp. 129–137). Berlin: Springer. Valiente, G. (2003). A new simple algorithm for the maximum-weight independent set problem on circle graphs (Vol. 2906, pp. 129–137). Berlin: Springer.
45.
Zurück zum Zitat Wang B., & Mutka, M. (2008). QoS-aware fair rate allocation in wireless mesh networks. Computer Communications, 31, 1276–1289.CrossRef Wang B., & Mutka, M. (2008). QoS-aware fair rate allocation in wireless mesh networks. Computer Communications, 31, 1276–1289.CrossRef
47.
Zurück zum Zitat Wang, P., & Bohacek, S. (2008). Communication models for capacity optimization in mesh networks. In ACM PE-WASUN 2008, Vancouver, Canada. Wang, P., & Bohacek, S. (2008). Communication models for capacity optimization in mesh networks. In ACM PE-WASUN 2008, Vancouver, Canada.
48.
Zurück zum Zitat Wang, P., & Bohacek, S. (2008). On the practical complexity of solving the maximum weighted independent set problem for optimal scheduling in wireless networks. In WICON. Wang, P., & Bohacek, S. (2008). On the practical complexity of solving the maximum weighted independent set problem for optimal scheduling in wireless networks. In WICON.
50.
Zurück zum Zitat Wu, C. C., & Bertsekas, D. P. (2001). Distributed power control algorithms for wireless networks. IEEE Transactions on Vehicular Technology, 50, 504–514.CrossRef Wu, C. C., & Bertsekas, D. P. (2001). Distributed power control algorithms for wireless networks. IEEE Transactions on Vehicular Technology, 50, 504–514.CrossRef
51.
Zurück zum Zitat Xiao, M., Shroff, N. B., Chong, E. K. P. (2003). A utility-based power-control scheme in wireless cellular systems. IEEE/ACM Transactions on Networking, 11(2), 210–221.CrossRef Xiao, M., Shroff, N. B., Chong, E. K. P. (2003). A utility-based power-control scheme in wireless cellular systems. IEEE/ACM Transactions on Networking, 11(2), 210–221.CrossRef
52.
Zurück zum Zitat Yates, R., & Huang, C. (1995). Integrated power control and base station assignment. IEEE Transactions on Vehicular Technology, 44, 638–644.CrossRef Yates, R., & Huang, C. (1995). Integrated power control and base station assignment. IEEE Transactions on Vehicular Technology, 44, 638–644.CrossRef
Metadaten
Titel
Computational aspects of optimal schedules with power control and multiple bitrates selection in multihop wireless networks
verfasst von
Peng Wang
Stephan Bohacek
Publikationsdatum
01.08.2010
Verlag
Springer US
Erschienen in
Wireless Networks / Ausgabe 6/2010
Print ISSN: 1022-0038
Elektronische ISSN: 1572-8196
DOI
https://doi.org/10.1007/s11276-009-0219-5

Weitere Artikel der Ausgabe 6/2010

Wireless Networks 6/2010 Zur Ausgabe

Neuer Inhalt