The competitiveness of on-line assignments
Journal of Algorithms
On-Line Load Balancing in a Hierarchical Server Topology
SIAM Journal on Computing
Note: On a parallel machine scheduling problem with equal processing times
Discrete Applied Mathematics
Scheduling unit length jobs with parallel nested machine processing set restrictions
Computers and Operations Research
An optimal rounding gives a better approximation for scheduling unrelated machines
Operations Research Letters
Scheduling unit length jobs on parallel machines with lookahead information
Journal of Scheduling
Approximations for the Two-Machine Cross-Docking Flow Shop Problem
Discrete Applied Mathematics
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We consider the problem of nonpreemptively scheduling a set of n jobs with equal processing times on m parallel machines so as to minimize the makespan. Each job has a prespecified set of machines on which it can be processed, called its eligible set. We consider the most general case of machine eligibility constraints as well as special cases of nested and inclusive eligible sets. Both online and offline models are considered. For offline problems we develop optimal algorithms that run in polynomial time, while for online problems we focus on the development of optimal algorithms of a new and more elaborate structure as well as approximation algorithms with good competitive ratios.