Estimation-pruning (EP) algorithm for point-to-point travel cost minimization in a non-FIFO dynamic network

This paper presents the estimation-pruning (EP) algorithm for finding the best path (with minimum cost) from a source to a destination in a dynamic network that does not necessarily obey the first-in-first-out (FIFO) property. The EP algorithm consists of two steps. The first step is the forward or the estimation step in which a bound on the traveling cost of each possible path is calculated. The second step is the backward or the pruning step in which the paths that are unlikely to produce the best route are eliminated. The resulting network is then expanded in time and is converted to a static network, which is used to find the best route.

[1]  Paul R. Cohen,et al.  Camera Calibration with Distortion Models and Accuracy Evaluation , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Sanjoy Paul,et al.  RMTP: a reliable multicast transport protocol , 1996, Proceedings of IEEE INFOCOM '96. Conference on Computer Communications.

[3]  M. Kanskar,et al.  OBSERVATION OF LEAKY SLAB MODES IN AN AIR-BRIDGED SEMICONDUCTOR WAVEGUIDE WITH A TWO-DIMENSIONAL PHOTONIC LATTICE , 1997 .

[4]  Sean R Eddy,et al.  What is dynamic programming? , 2004, Nature Biotechnology.

[5]  Rasool Khadem,et al.  Image-enhanced endoscopy calibration and image registration accuracy testing , 2002, SPIE Medical Imaging.

[6]  Warren E. Smith,et al.  Correction of distortion in endoscope images , 1992, IEEE Trans. Medical Imaging.

[7]  Frederick M. Waltz.  Implementation Of Real-Time Perspective Correction , 1988, Other Conferences.

[8]  R. Payne.  Geographic names information system , 1983 .

[9]  Roger Y. Tsai,et al.  A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses , 1987, IEEE J. Robotics Autom..

[10]  Andrea J. Goldsmith,et al.  Capacity and optimal resource allocation for fading broadcast channels - Part I: Ergodic capacity , 2001, IEEE Trans. Inf. Theory.

[11]  Bernd Girod,et al.  Rate-distortion optimized packet scheduling and routing for media streaming with path diversity , 2003, Data Compression Conference, 2003. Proceedings. DCC 2003.

[12]  P. B. Coaker,et al.  Applied Dynamic Programming , 1964 .

[13]  Philip A. Chou,et al.  Rate-Distortion Optimized Receiver-Driven Streaming over Best-Effort Networks , 2002 .

[14]  Warren B. Powell,et al.  Stochastic and dynamic networks and routing , 1995 .

[15]  C. A. HART,et al.  Manual of Photogrammetry , 1947, Nature.

[16]  David Simchi-Levi,et al.  A New Generation of Vehicle Routing Research: Robust Algorithms, Addressing Uncertainty , 1996, Oper. Res..

[17]  Itu-T.  Video coding for low bitrate communication , 1996 .

[18]  Harilaos N. Psaraftis,et al.  Dynamic vehicle routing: Status and prospects , 1995, Ann. Oper. Res..

[19]  N. Biggs.  THE TRAVELING SALESMAN PROBLEM A Guided Tour of Combinatorial Optimization , 1986 .

[20]  Andrea J. Goldsmith,et al.  Capacity and Optimal Resource Allocation for Fading Broadcast Channels — Part II : Outage Capacity , 1998 .

[21]  Philip A. Chou,et al.  Rate-distortion optimized sender-driven streaming over best-effort networks , 2001, 2001 IEEE Fourth Workshop on Multimedia Signal Processing (Cat. No.01TH8564).

[22]  Edsger W. Dijkstra,et al.  A note on two problems in connexion with graphs , 1959, Numerische Mathematik.

[23]  Michel Gendreau,et al.  DYNAMIC VEHICLE ROUTING AND DISPATCHING , 1998 .

[24]  David A. Butler,et al.  A distortion-correction scheme for industrial machine-vision applications , 1991, IEEE Trans. Robotics Autom..

[25]  Jay B. West,et al.  Implementation, calibration and accuracy testing of an image-enhanced endoscopy system , 2002, IEEE Transactions on Medical Imaging.

[26]  Philip A. Chou,et al.  Application layer error-correction coding for rate-distortion optimized streaming to wireless clients , 2002, IEEE Transactions on Communications.

[27]  Philip A. Chou,et al.  Computing rate-distortion optimized policies for streaming media to wireless clients , 2002, Proceedings DCC 2002. Data Compression Conference.

[28]  Jean C. Walrand,et al.  A robust acknowledgement scheme for unreliable flows , 2002, Proceedings.Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies.

[29]  R. M. Stevenson,et al.  Resonant coupling of near-infrared radiation to photonic band structure waveguides , 1999 .

[30]  B. Girod,et al.  Computing rate-distortion optimized policies for hybrid receiver/sender driven streaming of multimedia , 2002, Conference Record of the Thirty-Sixth Asilomar Conference on Signals, Systems and Computers, 2002..

[31]  Andrea J. Goldsmith,et al.  Capacity and optimal power allocation for fading broadcast channels with minimum rates , 2001, GLOBECOM'01. IEEE Global Telecommunications Conference (Cat. No.01CH37270).

[32]  Shanhui Fan,et al.  Angular and polarization properties of a photonic crystal slab mirror. , 2004, Optics express.

[33]  H. Haus.  Waves and fields in optoelectronics , 1983 .

[34]  O. Solgaard,et al.  Displacement-sensitive photonic crystal structures based on guided resonance in photonic crystal slabs , 2003 .

[35]  Hideaki Haneishi,et al.  A new method for distortion correction of electronic endoscope images , 1995, IEEE Trans. Medical Imaging.

[36]  Carlos Couto,et al.  Fast correction of lens distortion for image applications , 1997 .

[37]  Sally Floyd,et al.  TCP Selective Acknowledgment Options , 1996, RFC.

[38]  G. Ding.  Discrete optimization , 1977 .

[39]  Bernd Girod,et al.  Rate-distortion optimized streaming from the edge of the network , 2002, 2002 IEEE Workshop on Multimedia Signal Processing..

[40]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[41]  Song Gao,et al.  Optimal routing policy problems in stochastic time-dependent networks. I. Framework and taxonomy , 2002, Proceedings. The IEEE 5th International Conference on Intelligent Transportation Systems.

[42]  Shanhui Fan,et al.  Analysis of guided resonances in photonic crystal slabs , 2002 .

[43]  Ismaïl Chabini,et al.  Adaptations of the A* algorithm for the computation of fastest paths in deterministic discrete-time dynamic networks , 2002, IEEE Trans. Intell. Transp. Syst..

[44]  Song Gao,et al.  Optimal routing policy problems in stochastic time-dependent networks. II. Exact and approximation algorithms , 2002, Proceedings. The IEEE 5th International Conference on Intelligent Transportation Systems.

[45]  Arun N. Netravali,et al.  Error and flow control performance of a high speed protocol , 1993, IEEE Trans. Commun..