index usage for min() vs. "order by asc limit 1"

I have two queries in PG 9.1. One uses an index like I would like, the other does not. Is this expected behavior? If so, is there any way around it?

postgres=# explain analyze select min(id) from delayed_jobs where strand='sis_batch:account:15' group by strand;
QUERY PLAN
--------------------------------------------------------------------------------------------------------------------------
GroupAggregate (cost=0.00..8918.59 rows=66 width=29) (actual time=226.759..226.760 rows=1 loops=1)
-> Seq Scan on delayed_jobs (cost=0.00..8553.30 rows=72927 width=29) (actual time=0.014..169.941 rows=72268 loops=1)
Filter: ((strand)::text = 'sis_batch:account:15'::text)
Total runtime: 226.817 ms
(4 rows)

postgres=# explain analyze select id from delayed_jobs where strand='sis_batch:account:15' order by id limit 1;
QUERY PLAN
---------------------------------------------------------------------------------------------------------------------------------------------------------
Limit (cost=0.00..0.33 rows=1 width=8) (actual time=0.097..0.098 rows=1 loops=1)
-> Index Scan using index_delayed_jobs_on_strand on delayed_jobs (cost=0.00..24181.74 rows=72927 width=8) (actual time=0.095..0.095 rows=1 loops=1)
Index Cond: ((strand)::text = 'sis_batch:account:15'::text)
Total runtime: 0.129 ms
(4 rows)