Title
An Adaptive Dynamic Programming Algorithm for the Heterogeneous Resource Allocation Problem
Abstract
We consider an aggregated version of a large-scale driver scheduling problem, derived from an application in less-than-truckload trucking, as a dynamic resource allocation problem. Drivers are aggregated into groups characterized by an attribute vector which capture the important attributes required to incorporate the work rules. The problem is very large: over 5,000 drivers and 30,000 loads in a four-day planning horizon. We formulate a problem that we call theheterogeneous resource allocation problem, which is more general than a classical multicommodity flow problem. Since the tasks have one-sided time windows, the problem is too large to even solve an LP relaxation. We formulate the problem as a multistage dynamic program and solve it using adaptive dynamic programming techniques. Since our problem is too large to solve using commercial solvers, we propose three independent benchmarks and demonstrate that our technique appears to be providing high-quality solutions in a reasonable amount of time.
Year
DOI
Venue
2002
10.1287/trsc.36.2.231.561
Transportation Science
Keywords
Field
DocType
adaptive dynamic programming technique,theheterogeneous resource allocation problem,dynamic resource allocation problem,heterogeneous resource allocation problem,aggregated version,attribute vector,large-scale driver scheduling problem,lp relaxation,one-sided time windows,classical multicommodity flow problem,adaptive dynamic programming algorithm,multistage dynamic program,scheduling,mathematical models,cluster analysis,traffic flow,logistics,truck,trucks,resource allocation,linear programming,dynamic programming,algorithms
Partition problem,Mathematical optimization,Computational problem,Job shop scheduling,Resource allocation,Cutting stock problem,Function problem,Linear programming,Multi-commodity flow problem,Operations management,Mathematics
Journal
Volume
Issue
ISSN
36
2
0041-1655
Citations 
PageRank 
References 
14
0.81
13
Authors
3
Name
Order
Citations
PageRank
Warren B. Powell11614151.46
Joel A. Shapiro231629.93
Hugo Simão31068.38