We consider the problem of scheduling no-wait jobs, with release dates and
sequence dependent setup times, on a flow shop to minimize the makespan. We
show that this problem is equivalent to the asymmetric traveling salesman
problem with additional visiting time constraints. For this latter problem
we give a mathematical formulation and two lower bounds. Two heuristic algo
rithms for solving the scheduling problem are proposed. Performance analysi
s of both lower bounds and heuristics on randomly generated test problems a
re carried out.