Scheduling two parallel semiautomatic machines to minimize machine interference
Computers and Operations Research
Hybrid flow shop scheduling: a survey
Computers and Industrial Engineering
Parallel machine scheduling with a common server
Discrete Applied Mathematics
A heuristic algorithm for minimizing mean flow time with unit setups
Information Processing Letters
Parallel machine scheduling problems with a single server
Mathematical and Computer Modelling: An International Journal
Computers and Operations Research
Computers and Operations Research
A genetic algorithm for two-stage no-wait hybrid flow shop scheduling problem
Computers and Operations Research
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The context of the problem tackled in this paper is a computer system composed by a single server and two identical parallel machines. The processing times on the server are assumed to be unary and the objective is to minimize the total completion time. The papers dealing with scheduling problems with a server generally consider that the setup activities require simultaneously the server and the machine. In this paper, this constraint is not considered and the studied problem is a two-stage hybrid flow shop with no-wait constraint between the two stages. An algorithm that can solve optimally this problem in O(n log(n)) time is proposed. Finally, it is shown that solving this problem optimally leads to an optimal solution to the problem without the no-wait constraint.