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Summary: Optimal scheduling discipline in
a single-server queue with
Pareto type service times
Samuli Aalto (Helsinki University of Technology)
Urtzi Ayesta (LAAS-CNRS)
ValueTools 2008
23 october, 2008
Scheduling in an M/G/1 Queue
Poisson arrivals with rate .
Service requirements are i.i.d. with distribution F(x)=P[X x].
Complementary cumulative distribution denoted by
Attained service is known (total service requirement unknown)
Optimality criterion: Mean number of jobs in the system
service requirement
server
( ) )x(F1xF -=
Scheduling disciplines
Two important set of disciplines depending on whether the
size of jobs is known.
The size is known: Shortest-Remaining-Processing-Time
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