An integrated approach for planning a long-term care network with uncertainty, strategic policy and equity considerations

Considering key uncertainties and health policy options in the reorganization of a long-term care (LTC) network is crucial. This study proposes a stochastic mixed integer linear programming model for planning the delivery of LTC services within a network of care where such aspects are modeled in an integrated manner. The model assists health care planners on how to plan the delivery of the entire range of LTC services – institutional, home-based and ambulatory services – when the main policy objective is the minimization of expected costs and while respecting satisficing levels of equity. These equity levels are modeled as constraints, ensuring the attainment of equity of access, equity of utilization, socioeconomic equity and geographical equity. The proposed model provides planners with key information on: when and where to locate services and with which capacity, how to distribute this capacity across services and patient groups, and which changes to the network of care are needed over time. Model outputs take into account the uncertainty surrounding LTC demand, and consider strategic health policy options adopted by governments. The applicability of the model is demonstrated through the resolution of a case study in the Great Lisbon region in Portugal with estimates on the equity-cost trade-off for several equity dimensions being provided.

[1]  Rod Jones,et al.  Hospital bed occupancy demystified , 2011 .

[2]  Daniel Vanderpooten,et al.  Min-max and min-max regret versions of combinatorial optimization problems: A survey , 2009, Eur. J. Oper. Res..

[3]  Stefan Nickel,et al.  Planning a long-term care network with uncertainty, strategic policy and equity considerations: A stochastic planning approach , 2013 .

[4]  A. Mehrez,et al.  On the Implementation of Quantitative Facility Location Models: The Case of a Hospital in a Rural Region , 1996 .

[5]  Paul Robert Harper,et al.  Optimising the use of resources within the district nursing service: a case study , 2013 .

[6]  Iona Heath,et al.  Long-Term Care for Older People , 2020, When We're Sixty-Four: Opportunities and Challenges for Public Policies in a Population-Aging Context in Latin America.

[7]  Gerald W. Evans,et al.  Multi-objective optimization models for patient allocation during a pandemic influenza outbreak , 2014, Comput. Oper. Res..

[8]  Mónica Duarte Oliveira,et al.  Organizing hospitals into networks: a hierarchical and multiservice model to define location, supply and referrals in planned hospital systems , 2012, OR Spectr..

[9]  Susan Hamer Making Sense of the NHS White Papers , 2000 .

[10]  Anke Richter,et al.  A linear programming model for allocating HIV prevention funds with state agencies: a pilot study , 2007, Health care management science.

[11]  Peter Willemé,et al.  A Typology of Long-Term Care Systems in Europe. ENEPRI Research Report No. 91, August 2010 , 2010 .

[12]  A. K. Shahani,et al.  Planning health services with explicit geographical considerations: a stochastic location-allocation approach , 2005 .

[13]  Yue Zhang,et al.  A Simulation Optimization Approach to Long-Term Care Capacity Planning , 2012, Oper. Res..

[14]  S. Laditka,et al.  Can home care services achieve cost savings in long-term care for older people? , 1998, The journals of gerontology. Series B, Psychological sciences and social sciences.

[15]  Peter J. H. Hulshof,et al.  Taxonomic classification of planning decisions in health care: a structured review of the state of the art in OR/MS , 2012 .

[16]  Francisco Saldanha-da-Gama,et al.  Facility location and supply chain management - A review , 2009, Eur. J. Oper. Res..

[17]  Josefa Mula,et al.  Quantitative models for supply chain planning under uncertainty: a review , 2009 .

[18]  Zelda B. Zabinsky,et al.  Stochastic optimization of medical supply location and distribution in disaster management , 2010 .

[19]  Feng Lin,et al.  Capacity Planning for Publicly Funded Community Based Long-Term Care Services , 2012 .

[20]  Nadine Schuurman,et al.  Assessing the suitability of host communities for secondary palliative care hubs: a location analysis model. , 2009, Health & place.

[21]  Sally C. Brailsford,et al.  OR in healthcare: A European perspective , 2011, Eur. J. Oper. Res..

[22]  Kenneth Yip,et al.  Fraser Health Uses Mathematical Programming to Plan Its Inpatient Hospital Network , 2009, Interfaces.

[23]  G. Bevan,et al.  Modelling the redistribution of hospital supply to achieve equity taking account of patient's behaviour , 2006, Health care management science.

[24]  Mark S. Daskin,et al.  Strategic facility location: A review , 1998, Eur. J. Oper. Res..

[25]  Marc Goetschalckx,et al.  A stochastic programming approach for supply chain network design under uncertainty , 2004, Eur. J. Oper. Res..

[26]  Susana Relvas,et al.  Design and planning of supply chains with integration of reverse logistics activities under demand uncertainty , 2013, Eur. J. Oper. Res..

[27]  H K Smith,et al.  Bicriteria efficiency/equity hierarchical location models for public service application , 2013, J. Oper. Res. Soc..

[28]  Ana Paula Barbosa-Póvoa,et al.  Location-allocation approaches for hospital network planning under uncertainty , 2015, Eur. J. Oper. Res..

[29]  Zvi Drezner,et al.  A note on equity across groups in facility location , 2011 .

[30]  P. Mitropoulos,et al.  A biobjective model for the locational planning of hospitals and health centers , 2006, Health care management science.

[31]  Craig W. Kirkwood,et al.  Strategic decision making : multiobjective decision analysis with spreadsheets : instructor's manual , 1996 .

[32]  Gloria Pérez,et al.  An Approach for Strategic Supply Chain Planning under Uncertainty based on Stochastic 0-1 Programming , 2003, J. Glob. Optim..

[33]  Lawrence V. Snyder,et al.  Facility location under uncertainty: a review , 2006 .

[34]  A. Barbosa‐Póvoa,et al.  Moving towards an equitable long-term care network: A multi-objective and multi-period planning approach☆ , 2016 .

[35]  Kurt M. Bretthauer,et al.  A Model for Planning Resource Requirements in Health Care Organizations , 1998 .

[36]  K. Haynes,et al.  Siting efficiency of long-term health care facilities , 1998 .

[37]  Xiangtong Qi,et al.  A logistics scheduling model: scheduling and transshipment for two processing centers , 2006 .

[38]  Yves Jorens,et al.  Long term care in the European union , 2008 .

[39]  John R. Birge,et al.  Introduction to Stochastic Programming , 1997 .

[40]  Mark S. Daskin,et al.  Location of Health Care Facilities , 2005 .

[41]  Sara R. Machado,et al.  Portugal. Health system review. , 2011, Health systems in transition.

[42]  Mohamad Saeed Jabalameli,et al.  Modeling the budget-constrained dynamic uncapacitated facility location-network design problem and solving it via two efficient heuristics: A case study of health care , 2013, Math. Comput. Model..

[43]  Christian Stummer,et al.  Determining Location and Size of Medical Departments in a Hospital Network: A Multiobjective Decision Support Approach , 2004, Health care management science.

[44]  Stefan Nickel,et al.  A multi-stage stochastic supply network design problem with financial decisions and risk management , 2012 .

[45]  M. Vanhoucke,et al.  An integrated nurse staffing and scheduling analysis for longer-term nursing staff allocation problems , 2013 .

[46]  H. Simon,et al.  Rational choice and the structure of the environment. , 1956, Psychological review.

[47]  Reza Zanjirani Farahani,et al.  Facility location dynamics: An overview of classifications and applications , 2012, Comput. Ind. Eng..

[48]  Dong-Guen Kim,et al.  A branch and bound algorithm for determining locations of long-term care facilities , 2010, Eur. J. Oper. Res..

[49]  Mehrdad Tamiz,et al.  A multi-objective model to determine efficient resource levels in a medical assessment unit , 2007, J. Oper. Res. Soc..

[50]  Meryem Masmoudi,et al.  A multiobjective stochastic program for hospital bed planning , 2012, J. Oper. Res. Soc..

[51]  Michael C. Georgiadis,et al.  Optimal design of supply chain networks under uncertain transient demand variations , 2011 .

[52]  Stefan Nickel,et al.  Modeling the demand for long-term care services under uncertain information , 2012, Health Care Management Science.

[53]  Seán Boyle,et al.  United Kingdom (England): Health system review. , 2011, Health systems in transition.

[54]  Abdur Rais,et al.  Operations Research in Healthcare: a survey , 2011, Int. Trans. Oper. Res..

[55]  Peter M. Verderame,et al.  Planning and Scheduling under Uncertainty: A Review Across Multiple Sectors , 2010 .