The Klingon fleet is divided into
squadron commands, and probably has a fleet on the general order of
1350
active and functional modern warships; unlike the Federation fleet, it
would appear as though it has expanded little in the past 25 years.

It's quite
common for Klingon ships to deployed in groups of three; although
Klingon battlecruisers appear not to be a complete match for a
top-of-the-line Federation or Romulan vessel, three can capably handle
the ships used by any of their nearest rivals.
The Romulan fleet is shrouded in mystery. Romulans make squad
deployments on occasion, and also make frequent use of paired warbirds.
One is usually sufficient to handle problems.
The Federation's members operate their own independent fleets. The
Starfleet headquartered in San Francisco seems the largest of these,
and
is largely staffed by Humans.

It appears
as though the total number of ships operated by the UFP and/or its
member governments is somewhere around 20-30,000; we may estimate that
about 2,500 qualify as active duty warships.

The
Federation normally operates ships singly, although when fleet actions
seem required, deployments of dozens of ships are not unusual.

Federation
ships are built with a fair safety margin and internal control systems
and have relatively little downtime; high levels of automation allow
Federation ships to be easily operated with reduced battle crews.
The Federation is also covered by a network of nearly a thousand
Starbases. Most are orbital. They range in size and shape from the
spiderlike Starbase Montgomery (barely large enough to fit a Galaxy
class) to
the mushroom like Lya Station Alpha (5-6 miles wide.)

The Duras
sisters already have commitments from seven squadrons of the fleet. The
Mogh brothers gained the commitments of three additional squadron
leaders - enough to
"control
seven key sectors." They earlier gained four additional
squadrons. Kurn states that most
of the fleet is uncommitted; as at least 15 squadrons are, this means
there are at least 16 uncommited squadrons, i.e., at least 31. 50 is
also a reasonable
guess and 100 entirely possible.
Four Klingon squadrons are enough to
wage war, control multiple sectors, etc. 13-21 Federation
starships are not and are
"spread
thin" over the radius of a day's travel. Considering the
Klingon focus on threes in military deployments, a squadron most likely
consists of 27 ships, although anywhere from 9-81 could be justified
with a little work.
We could therefore estimate very roughly that the
Klingon fleet contains around 1350 (279-8100) warships. The comparisons
of
"Yesterday's Enterprise"
suggest that the Klingon fleet used to be a closer match for the
Federation fleet than it is during TNG.

The
Benzites have their own fleet, per
"A
Matter of Honor." There are multiple Vulcans on board the
Enterprise, per
"The Enemy."
We are told there are people from thirteen different alien cultures on
board the Enterprise, and no Andorians - at least, not when (INSERT
EPISODE NAME HERE) took place.

Galaxy
class vessels have NCC numbers in the low 70,000s. Ambassadors,
produced
25-30 years prior, have 26,000s. Constellation class vessels have
registries well down in the 4 digit range, some having been built 75-80
years prior to the beginning of TNG. Therefore, the Federation has
constructed roughly forty five thousand vessels the 25 years prior to
TNG, 70,000 vessels constructed in the century prior, and 72,000 in the
prior 200 years. Assuming an median service life of 10-20 years and a
maximum service life of 80 years, we arrive at a current fleet of
20,000-30,000 ships. Presumably this includes all member fleets, but it
is possible it does not include all ships within member fleets
constructed while a member of the UFP. If we assume that roughly 10-25%
can serve as active duty warships, and these vessels are active 65% of
the time, then the UFP has somewhere around 1300-4900 warships on
active
duty. Taking the geometric means suggests ~2500 warships.

In
"Redemption," Lursa states
clearly for the record:
"Twenty
ships aren't enough to wage a war," referring to a report of
"over twenty" UFP
vessels
massing on the Klingon-Romulan border, including the flagship of the
entire fleet; earlier, it was stated that only a dozen other Starfleet
vessels were within a day's travel, with 7-8 more in dock being
repaired, refitted, etc. Fighting having continued in the Mempa sector
for three weeks after their supply bases in that sector had been
destroyed being unusual suggests that a sector could well be a day's
travel in radius, possibly more. This is described as being
"stretched thin," but
gives us an idea of downtime in the UFP fleet as well as normal sector
deployments. Out of a sample of 21 starships marginally capable of
active duty, 13 are fully active. We may therefore expect that a
starship still on the duty roster and not in the scrapyard has
somewhere
in the general neighborhood of 38% downtime, including major repair and
upgrade cycles. In
"Descent,"
15 starships are deployed, broken into 5 task forces of 3, to patrol a
sector.

Eighty year old Constellation class starships can be crewed fully for
battle by forty, and are still around intact, as in
"Peak Performance;" they may
also
be operated in combat by a single officer on the bridge, as in
"The Gift." The crew of the
Enterprise D is roughly a thousand, and the crew of the Enterprise C
roughly seven hundred, per
"Yesterday's
Enterprise." A Nebula class vessel operated in the TNG era has a
crew of only ~400, per
"Interface."
In an emergency, the Enterprise can be entirely run by a single
individual from the bridge - even thoroughly run and controlled against
internal opposition, as Data manages in
"Brothers." A sample Cardassian
warship has a crew of six hundred in
"The Wounded." The USS Brattain
had a crew of 35, including one Betazoid. In general, smaller starships
on the general scale of the old Constitution class seem to have crews
of
a few dozen. As explored in a very large number of episodes, Federation
ships are equipped with emergency bulkheads and internal force fields.
"The Next Phase" demonstrates
that the Romulans are also bright enough to equip their ships with
emergency bulkheads.
"Chain of
Command" - Federation ships may be operated on a three shift
schedule - or a four shift schedule.
"Force of Nature" tells us a
Ferengi Marauder has a crew of 450.

Seven
Romulan battlecruisers floating around are considered an urgent threat
to the border in
"Angel One,"
although nothing came of it. Two Romulan warbirds might be worth trying
to bluff with a Galaxy class; five of the giant beasts are not. A
single
D'deridex warbird and a Galaxy class appear a similar match, although
the Galaxy is faster; a single Klingon battlecruiser is not, as per
"A Matter of Honor." Three
Klingon battlecruisers, however, can give two Warbirds a serious pause
and give a single Galaxy class cause for hopelessness, per
"Yesterday's Enterprise" and
INSERT EPISODE NAME HERE. After all, two B'rel birds of prey crewed by
Ferengi handed a GCS its tail in
"Rascals."

There are
Outposts (primarily along the Romulan Neutral Zone), Starbases
(numbered
or named), Deep Space stations, research stations, subspace relay
stations, subspace telescope arrays, and simple stations; all
assembled,
there are perhaps a thousand major bases operated by the Federation.
Some are groundside facilities; some are operated in partnership with
allies. Most are orbital, ranging in size and shape from the cradled
arms of Starbase Montgomery barely large enough to fit a Galaxy class
to
the great 5-6 mile wide mushroom of Lya Station Alpha.