Scheduling two parallel semiautomatic machines to minimize machine interference
Computers and Operations Research
Parallel machine scheduling with a common server
Discrete Applied Mathematics
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Scheduling parallel machines with a single server: some solvable cases and heuristics
Computers and Operations Research
Parallel machine scheduling problems with a single server
Mathematical and Computer Modelling: An International Journal
Scheduling two parallel machines with a single server: the general case
Computers and Operations Research
Pure cycles in flexible robotic cells
Computers and Operations Research
On-line scheduling of two parallel machines with a single server
Computers and Operations Research
Scheduling two parallel machines with a single server: the general case
Computers and Operations Research
Computers and Operations Research
Computers and Operations Research
Preemptive scheduling on two parallel machines with a single server
Computers and Industrial Engineering
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This paper considers the deterministic problem of scheduling two-operation non-preemptable jobs on two identical semi-automatic machines. A single server is available to carry out the first (or setup) operation. The second operation is executed automatically, without the server. The general problem of makespan minimization is NP-hard in the strong sense. Two special cases which arise in practice, the equal processing times and regular equal setup times problems turn out to be closely linked to the restricted set partitioning problem. This link is used to show that they are NP-hard in the ordinary sense, and to construct a tight lower bound and two highly effective O(n log n) heuristics.