Times you are referring to are for "commercial/private haulers" as stated in the Municipal Code Article XVI Section.17-129:

(c) No commercial waste collectors may engage in the business operations licensed by this article except between the hours of 5:00 a.m. through 10:00 p.m. Mondays through Saturdays in the following areas:

(1) Downtown area bounded by North Frontage Street, State Street, south of Trumbull Street, Prospect Street, Grove Street, Tower Parkway and Howe Street.
(2) Yale New Haven Hospital area bounded by South Frontage Street, Congress Avenue, and Howard Avenue.
(3)Hospital of Saint Raphael area bounded by Sherman Avenue, Chapel Street, Orchard Street and George Street.

(d) In all other areas of the city no commercial waste collector shall engage in the business operations licensed by this article except between the hours of 6:00 a.m. through 10:00 p.m.

Though we (DPW) are exempt, we do weigh our impact on neighborhoods citywide. With impending storm and holiday, we are trying hard to juggle various needs. Thanks.