Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrated Home Care Staffing and Capacity Planning: Stochastic
  Optimization Approaches   We propose stochastic optimization methodologies for a staffing and capacity
planning problem arising from home care practice. Specifically, we consider the
perspective of a home care agency that must decide the number of caregivers to
hire (staffing) and the allocation of hired caregivers to different types of
services (capacity planning) in each day within a specified planning horizon.
The objective is to minimize the total cost associated with staffing (i.e.,
employment), capacity allocation, over-staffing, and under-staffing. We propose
two-stage stochastic programming (SP) and distributionally robust optimization
(DRO) approaches to model and solve this problem considering two types of
decision-makers, namely an everything in advance decision-maker (EA) and a
flexible adjustment decision-maker (FA). In the EA models, we determine the
staffing and capacity allocation decisions in the first stage before observing
the demand. In the FA models, we decide the staffing decisions in the first
stage. Then, we determine the capacity allocation decisions based on demand
realizations in the second stage. We derive equivalent mixed-integer linear
programming (MILP) reformulations of the proposed nonlinear DRO model for the
EA decision-maker that can be implemented and efficiently solved using
off-the-shelf optimization software. We propose a computationally efficient
column-and-constraint generation algorithm with valid inequalities to solve the
proposed DRO model for the FA decision-maker. Finally, we conduct extensive
numerical experiments comparing the operational and computational performance
of the proposed approaches and discuss insights and implications for home care
staffing and capacity planning.

36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat