Using analytical function to calculate concurrency between date range

Question

Folks,
I'm trying to use analytical functions to come up with a query that gives me the
concurrency of jobs executing between a date range.
For example:
JOB100 - started at 9AM - stopped at 11AM
JOB200 - started at 10AM - stopped at 3PM
JOB300 - started at 12PM - stopped at 2PM
The query would tell me that JOB1 ran with a concurrency of 2 because JOB1 and JOB2
were running started and finished within the same time. JOB2 ran with the concurrency
of 3 because all jobs ran within its start and stop time. The output would look like this.
JOB START STOP CONCURRENCY
=== ==== ==== =========
100 9AM 11AM 2
200 10AM 3PM 3
300 12PM 2PM 2
I've been looking at this post, and this one if very similar...
Analytic functions using window date range
Here is the sample data..
CREATE TABLE TEST_JOB
( jobid NUMBER,
created_time DATE,
start_time DATE,
stop_time DATE
insert into TEST_JOB values (100, sysdate -1, to_date('05/04/08 09:00:00','MM/DD/YY hh24:mi:ss'), to_date('05/04/08 11:00:00','MM/DD/YY hh24:mi:ss'));
insert into TEST_JOB values (200, sysdate -1, to_date('05/04/08 10:00:00','MM/DD/YY hh24:mi:ss'), to_date('05/04/08 13:00:00','MM/DD/YY hh24:mi:ss'));
insert into TEST_JOB values (300, sysdate -1, to_date('05/04/08 12:00:00','MM/DD/YY hh24:mi:ss'), to_date('05/04/08 14:00:00','MM/DD/YY hh24:mi:ss'));
select * from test_job;
JOBID|CREATED_TIME |START_TIME |STOP_TIME
----------|--------------|--------------|--------------
100|05/04/08 09:28|05/04/08 09:00|05/04/08 11:00
200|05/04/08 09:28|05/04/08 10:00|05/04/08 13:00
300|05/04/08 09:28|05/04/08 12:00|05/04/08 14:00
Any help with this query would be greatly appreciated.
thanks.
-peter

Answer 1

after some checking the model rule wasn't working exactly as expected.
I believe it's working right now. I'm posting a self-contained example for completeness sake.I use 2 functions to convert back and forth between epoch unix timestamps, so
I'll post them here as well.
Like I said I think this works okay, but any feedback is always appreciated.
-peter
CREATE OR REPLACE FUNCTION date_to_epoch(p_dateval IN DATE)
RETURN NUMBER
AS
BEGIN
return (p_dateval - to_date('01/01/1970','MM/DD/YYYY')) * (24 * 3600);
END;
CREATE OR REPLACE FUNCTION epoch_to_date (p_epochval IN NUMBER DEFAULT 0)
RETURN DATE
AS
BEGIN
return to_date('01/01/1970','MM/DD/YYYY') + (( p_epochval) / (24 * 3600));
END;
DROP TABLE TEST_MODEL3 purge;
CREATE TABLE TEST_MODEL3
( jobid NUMBER,
start_time NUMBER,
end_time NUMBER);
insert into TEST_MODEL3
VALUES (300,date_to_epoch(to_date('05/07/2008 10:00','MM/DD/YYYY hh24:mi')),
date_to_epoch(to_date('05/07/2008 19:00','MM/DD/YYYY hh24:mi')));
insert into TEST_MODEL3
VALUES (200,date_to_epoch(to_date('05/07/2008 09:00','MM/DD/YYYY hh24:mi')),
date_to_epoch(to_date('05/07/2008 12:00','MM/DD/YYYY hh24:mi')));
insert into TEST_MODEL3
VALUES (400,date_to_epoch(to_date('05/07/2008 10:00','MM/DD/YYYY hh24:mi')),
date_to_epoch(to_date('05/07/2008 14:00','MM/DD/YYYY hh24:mi')));
insert into TEST_MODEL3
VALUES (500,date_to_epoch(to_date('05/07/2008 11:00','MM/DD/YYYY hh24:mi')),
date_to_epoch(to_date('05/07/2008 16:00','MM/DD/YYYY hh24:mi')));
insert into TEST_MODEL3
VALUES (600,date_to_epoch(to_date('05/07/2008 15:00','MM/DD/YYYY hh24:mi')),
date_to_epoch(to_date('05/07/2008 22:00','MM/DD/YYYY hh24:mi')));
insert into TEST_MODEL3
VALUES (100,date_to_epoch(to_date('05/07/2008 09:00','MM/DD/YYYY hh24:mi')),
date_to_epoch(to_date('05/07/2008 23:00','MM/DD/YYYY hh24:mi')));
commit;
SELECT jobid,
epoch_to_date(start_time)start_time,
epoch_to_date(end_time)end_time,
n concurrency
FROM TEST_MODEL3
MODEL
DIMENSION BY (start_time,end_time)
MEASURES (jobid,0 n)
(n[any,any]=
count(*)[start_time<= cv(start_time),end_time>=cv(start_time)]+
count(*)[start_time > cv(start_time) and start_time <= cv(end_time), end_time >= cv(start_time)]
ORDER BY start_time;
The results look like this:
JOBID|START_TIME|END_TIME |CONCURRENCY
----------|---------------|--------------|-------------------
100|05/07/08 09:00|05/07/08 23:00| 6
200|05/07/08 09:00|05/07/08 12:00| 5
300|05/07/08 10:00|05/07/08 19:00| 6
400|05/07/08 10:00|05/07/08 14:00| 5
500|05/07/08 11:00|05/07/08 16:00| 6
600|05/07/08 15:00|05/07/08 22:00| 4