Yes, you should do it in SQL. I'd use something like (untested, I don't have a database available at the moment):
CREATE TABLE employee ( -- Lists availability times
ID NUMERIC,
start DATETIME,
end DATETIME
);
CREATE TABLE scedule ( -- Lists scedules appointments
ID NUMERIC, -- Foreign key into employee
start DATETIME,
end DATETIME
);
CREATE TABLE appointment ( -- Unsceduled appointments
ID NUMERIC
start DATETIME,
end DATETIME
);
SELECT employee.ID, appointment.ID FROM employee, appointment
WHERE employee.start <= appointment.start AND -- Check availability
employee.end >= appointment.end AND
employee.ID NOT IN ( -- Exclude employees who
-- already have an appointment
SELECT scedule.ID FROM scedule, appointment
WHERE scedule.start <= appointment.end AND
scedule.end >= appointment.start
)
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