In this project, we will discuss about quickest flow problem, Quick-TDQFP heuristic, Path-Finding Algorithms, Zero-Sum Cycles, and more. We will present a quick solution technique for the integral time-dependent quickest flow problem with no waiting. The offered method is in accordance with the successive shortest path technique and modifies a present algorithm to further improve its average performance. A reoptimization process is utilized to figure out the augmenting path given updates to the residual graph. The residual graph, by construction, usually has zero-sum cycles when used in this situation. These zero-sum cycles cause a distinctive problem for the reoptimization technique. We have proposed a heuristic which could be embedded in the reoptimization algorithm to give path solutions in the occurrence of zero-sum cycles. In the computational experiments, the heuristic provided an ideal solution nearly 100% of the times. Moreover, an altered implementation of a present path-finding algorithm is actually utilized to fix the time-dependent quickest flow problem with source waiting…..
Contents
Chapter 1: Introduction
Chapter 2: The Quick-TDQFP Heuristic
2.1 Introduction
2.2 The Quick-TDQFP heuristic
2.3 The Quick-TDQFP heuristic – Overview and Steps
Chapter 3: The Path-Finding Algorithms
3.1 Introduction
3.2 The TDLTP and the TDLTP Reoptimization Algorithms
3.3 Shortest-Path Algorithms and Zero-Sum Cycles
3.4 The Path Diving Procedure
3.5 The M-Chrono SPT algorithm
Chapter 4: Computational Results
4.1 Introduction
4.2 Experimental Design
4.3 Experimental Results
Chapter 5: Further Thoughts and Conclusions……
Source: UMD
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