Too many cars looking for too few spaces. These are fundamental physical constraints most Beacon Hill residents confront daily. There are no solutions, save banning cars or razing buildings to construct parking lots. There are, however, accommodations that can make residents' lives a bit easier.

Consider the following scenarios. Purchasers of homes on Beacon Hill do so with the notion of modernizing their outdated or dowdy buildings. Major renovations require construction crews and contractors who bring in heavy equipment. The city permits contractors to use curb space to park their equipment — a sensible position — but every space taken for a contractor cuts by one the number of spaces available for residents' cars.

In slow economic times, no one much cares, since few have the money to splurge on major revampings. But in good times, such as the present, it sometimes seems as if every other house is renovating. At times more heavy equipment can be found on Beacon Hill than at the Big Dig.

To compound the annoyance, contractors always take longer than anticipated and many abuse their privileges, using spaces designated for equipment as convenient parking locations for foremen and their crews.

A second scenario. Rush hour parking used to be forbidden on Cambridge Street to accommodate traffic flowing into the city. Spurred by neighborhood groups, the city agreed to soften the no parking rules, permitting short-term parking during the morning rush hour so that local businesses and schools could provide customers with some parking for quick pickups and drop-offs.

According to the Transportation Department, the new policy was a disaster, tying up traffic through the morning. So it changed the rules again, reverting back to a full ban.

A third scenario. Any resident who goes grocery shopping is almost forced to disobey the law by double parking to unload groceries. It is rare that an open space is near one's residence, and walking several blocks with heavy bags and an infant or child is a logistical nightmare.

So, with flashers on, residents stop outside and quickly try to unload. Many receive tickets from the meter maids that swarm the Hill.

For some, these inconveniences are just the cost of living in the city. For others, though, they become an aggravation that is intolerable, one of those nuisances that grates and pushes people off of Beacon Hill and out of Boston.

Their departure is our loss; Boston needs all of its residents, not only those who care little about the price of the tickets they receive, but also those to whom they are a real financial burden.

So what's the solution? To its credit, the Transportation Department has been making real efforts to understand the unique trials of living on the Hill. In the case of contractor parking, the Department now scrutinizes requests for construction parking more carefully and notifies my office of a Beacon Hill permit when it is granted. It has also just put in place new rules limiting the duration of the permits and the length of contractor spots.

In the case of Cambridge Street, the Department subsequently met with Civic Association representatives and developed a compromise that seems to meet the concerns of the neighborhood while keeping traffic moving.

And in the case of double parking, parking enforcement personnel are now under instruction to use some discretion if it is obvious a resident is simply dropping off groceries.

These measures won't create an unlimited supply of parking spaces, but they do open up a few more than were there before. Here's hoping you're one of the lucky residents that finds one.