Title
Lex-Optimal Online Multiclass Scheduling with Hard Deadlines
Abstract
Online scheduling of unit-length packets with hard deadlines by a single server in slotted time is considered. First, the throughput optimal scheduling policies are characterized. Then multiclass packets are considered in which each packet has an M-bit class identifier, and a new optimality property called lex-optimality (short for lexicographic optimality) is defined for online scheduling policies. Lex-optimality is a hierarchical sequence of M throughput optimality properties. The lex-optimal policies that do not drop packets early are characterized. Both characterizations involve identification of a "no-regret subset" of the set of packets available for scheduling in a given slot. A lex-optimal scheduling algorithm is presented with complexity per packet O(MB), where M is the log of the number of priority classes and B is the maximum buffer size. The algorithm requires no more packets to be buffered than any online, throughput optimal scheduling policy. Simulation results are presented that illustrate that lex-optimality combines elements of pure priority and nested priority scheduling.
Year
DOI
Venue
2005
10.1287/moor.1040.0144
Mathematics of Operations Research
Keywords
DocType
Volume
throughput optimal scheduling policy,Online scheduling,lex-optimal scheduling algorithm,nested priority scheduling,online scheduling policy,M throughput optimality property,lexicographic optimality,new optimality property,priority class,pure priority,Hard Deadlines,Lex-Optimal Online
Journal
30
Issue
ISSN
Citations 
3
0364-765X
2
PageRank 
References 
Authors
0.37
6
2
Name
Order
Citations
PageRank
Bruce Hajek115417.84
Pierre Seri220.37