  Throughout the past decade, there has been an extensive research on
scheduling the hospital resources such as the operation theatre(s) (OTs) and
the experts (such as nurses, doctors etc.) inside the hospitals. With the
technological growth, mainly advancement in communication media (such as smart
phones, video conferencing, smart watches etc.) one may think of taking the
expertise by the doctors (distributed around the globe) from outside the
in-house hospitals. Earlier this interesting situation of hiring doctors from
outside the hospitals has been studied from monetary (with patient having
infinite budget) and non-monetary perspectives in strategic setting. In this
paper, the more realistic situation is studied in terms of hiring the doctors
from outside the hospital when a patient is constrained by budget. Our proposed
mechanisms follow the two pass mechanism design framework each consisting of
allocation rule and payment rule. Through simulations, we evaluate the
performance and validate our proposed mechanisms.
