A survey of algorithms for single and multi-objective unrelated parallel-machine deterministic scheduling problems

M Pfund, JW Fowler, JND Gupta - Journal of the Chinese Institute …, 2004 - Taylor & Francis
This paper surveys the literature related to solving traditional unrelated parallel-machine
scheduling problems. It compiles algorithms for the makespan, total weighted sum of …

[图书][B] The design of approximation algorithms

DP Williamson, DB Shmoys - 2011 - books.google.com
Discrete optimization problems are everywhere, from traditional operations research
planning (scheduling, facility location and network design); to computer science databases; …

Convex quadratic and semidefinite programming relaxations in scheduling

M Skutella - Journal of the ACM (JACM), 2001 - dl.acm.org
We consider the problem of scheduling unrelated parallel machines subject to release dates
so as to minimize the total weighted completion time of jobs. The main contribution of this …

Scheduling to minimize total weighted completion time via time-indexed linear programming relaxations

S Li - SIAM Journal on Computing, 2020 - SIAM
We study approximation algorithms for problems of scheduling precedence constrained jobs
with the objective of minimizing total weighted completion time, in identical and related …

Models and algorithms for stochastic online scheduling

N Megow, M Uetz, T Vredeveld - Mathematics of Operations …, 2006 - pubsonline.informs.org
We consider a model for scheduling under uncertainty. In this model, we combine the main
characteristics of online and stochastic scheduling in a simple and natural way. Job …

Santa claus schedules jobs on unrelated machines

O Svensson - Proceedings of the forty-third annual ACM symposium …, 2011 - dl.acm.org
One of the classic results in scheduling theory is the 2-approximation algorithm by Lenstra,
Shmoys, and Tardos for the problem of scheduling jobs to minimize makespan on unrelated …

[HTML][HTML] Non-identical parallel-machine scheduling research with minimizing total weighted completion times: Models, relaxations and algorithms

K Li, S Yang - Applied mathematical modelling, 2009 - Elsevier
We consider a class of non-identical parallel-machine scheduling problems in which the
goal is to minimize total (or mean) weighted (or unweighted) completion time. Models and …

On-line scheduling to minimize average completion time revisited

N Megow, AS Schulz - Operations Research Letters, 2004 - Elsevier
We consider the scheduling problem of minimizing the average-weighted completion time
on identical parallel machines when jobs are arriving over time. For both the preemptive and …

Lift-and-round to improve weighted completion time on unrelated machines

N Bansal, A Srinivasan, O Svensson - … of the forty-eighth annual acm …, 2016 - dl.acm.org
We consider the problem of scheduling jobs on unrelated machines so as to minimize the
sum of weighted completion times. Our main result is a (3/2-c)-approximation algorithm for …

Minimizing total flow time and total completion time with immediate dispatching

N Avrahami, Y Azar - Proceedings of the fifteenth annual ACM …, 2003 - dl.acm.org
We consider the problem of scheduling jobs arriving over time in a multiprocessor setting,
with immediate dispatching, disallowing job migration. The goal is to minimize both the total …