Abstract
This paper deals with problems of sensor management in a human driven information collection process. This applicative context results in complex sensor-to-task assignment problems, which encompass several difficulties. First of all, the tasks take the form of several information requirements, which are linked together by logical connections and priority rankings. Second, the assignment problem is correlated by many constraint paradigms. Our problem is a variant of Vehicle Routing Problem with Time Windows (VRPTW), and it also implements resource constraints including refuelling issues. For solving this problem, we propose a column generation approach, where the label correcting method is used to treat the sub-problem. The efficiency of our approach is evaluated by comparing with solution given by CPLEX on different scenarios.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bräysy, O., Gendreau, M.: Vehicle routing problem with time windows, Part I: Route construction and local search algorithms. Transport. Sci. 39(1), 104–118 (2005)
Bräysy, O., Gendreau, M.: Vehicle routing problem with time windows, Part II: Metaheuristics. TTransport. Sci. 39(1), 119–139 (2005)
Campbell, A., Savelsbergh, M.: Efficient insertion heuristics for vehicle routing and scheduling problems. Transport. Sci. 38(3), 369–378 (2004)
Chakrabarty, K., Iyengar, S.S., Qi, H., Cho, E.: Grid coverage for surveillance and target location in distributed sensor networks. IEEE Transactions on Computers 51, 1448–1453 (2002)
Dambreville, F.: Cross-entropic learning of a machine for the decision in a partially observable universe. Journal of Global Optimization 37(4), 541–555 (2007)
Desrosiers, J., Soumis, F., Desrochers, M.: Routing With Time Windows by Column Generation. Networks 14, 545–565 (1984)
Desrosiers, J., Soumis, F., Sauvé, M.: Lagrangian Relaxation Methods for Solving the Minimum Fleet Size Multiple Traveling Salesman Problem With Time Windows. Mgmt. Sci. 34, 1005–1022 (1988)
Feillet, D., Dejax, P., Gendreau, M., Gueguen, C.: An exact algorithm for the elementary shortest path problemwith resource constraints: application to some vehicle routing problems. Networks 44(3), 216–229 (2004)
Frost, J.R.: Principle of search theory. Technical report, Soza & Company Ltd. (1999)
Haley, K.B., Stone, L.D.: Search Theory and Applications. Plenum Press, New York (1980)
Janez, F.: Optimization method for sensor planning. Aerospace Science and Technologie 11, 310–316 (2007)
Jayaweera, S.K.: Optimal node placement in decision fusion wireless sensor networks for distributed detection of a randomly-located target. In: IEEE Military Communications Conference, pp. 1–6 (2007)
Koopman, B.O.: The theory of search. iii. the optimum distribution of searching effort. Operations Research 5(5), 613–626 (1957)
Le Thi, H.A., Nguyen, D.M., Pham, D.T.: A DC programming approach for planning a multisensor multizones search for a target. Computers & Operations Research, Online first (July 2012)
Lübbecke, M., Desrosiers, J.: Selected Topics in Column Generation. Operations Research 53(6), 1007–1023 (2005)
Ng, G.W., Ng, K.H.: Sensor management – what, why and how. Information Fusion 1(2), 67–75 (2000)
Nguyen, D.M., Dambreville, F., Toumi, A., Cexus, J.C., Khenchaf, A.: A column generation method for solving the sensor management in an information collection process. Submitted to Optimization (October 2012)
Schaefer, C.G., Hintz, K.J.: Sensor management in a sensor rich environment. In: Proceedings of the SPIE International Symposium on Aerospace/Defense Sensing and Control, Orlando, FL, vol. 4052, pp. 48–57 (2000)
Simonin, C., Le Cadre, J.-P., Dambreville, F.: A hierarchical approach for planning a multisensor multizone search for a moving target. Computers and Operations Research 36(7), 2179–2192 (2009)
Solomon, M.: Algorithms for the Vehicle Routing and Scheduling Problem with Time Window Constraints. Operations Research 35, 254–365 (1987)
Toth, P., Vigo, D.: An exact algorithm for the vehicle routing problem with backhauls. Transport. Sci. 31, 372–385 (1997)
Tremois, O., Le Cadre, J.-P.: Optimal observer trajectory in bearings-only tracking for maneuvering sources. Sonar and Navigation 146(1), 1242–1257 (1997)
Washburn, A.R.: Search for a moving target: The FAB algorithm. Operations Research 31(4), 739–751 (1983)
Xiong, N., Svensson, P.: Multi-sensor management for information fusion: issues and approaches. Information Fusion 3(2), 163–186 (2002)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this paper
Cite this paper
Nguyen, D.M., Dambreville, F., Toumi, A., Cexus, JC., Khenchaf, A. (2013). A Column Generation Based Label Correcting Approach for the Sensor Management in an Information Collection Process. In: Nguyen, N., van Do, T., le Thi, H. (eds) Advanced Computational Methods for Knowledge Engineering. Studies in Computational Intelligence, vol 479. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00293-4_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-00293-4_7
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00292-7
Online ISBN: 978-3-319-00293-4
eBook Packages: EngineeringEngineering (R0)