Most Small to medium-sized hospitals and clinics in Taiwan do not have on-s
ite treatment facilities for their medical and infectious wastes and must r
ely on outside agencies for its collection and treatment. The problem of op
timally planning and scheduling the collection of medical wastes from a dis
perse group of facilities is formulated as a periodic vehicle routing probl
em. Special attention is paid to the requirement that waste pickup be made
on at least a weekly basis. A two-phased approach is used to solve the resu
lting optimization model. The first phase solves a standard vehicle routing
problem to determine a set of individual routes for the collection vehicle
s. The second phase uses mixed-integer programming to assign routes to part
icular days of the week. An illustrative example for 38 hospitals in the Ta
ipei city area demonstrates the effectiveness of the approach.