A comprehensive location-allocation method for specialized healthcare services

Abstract This paper focuses on the development, solution, and application of a location-allocation model for specialized health care services such as the treatment and rehabilitation necessary for strokes or traumatic brain injuries. The model is based on our experience with the Department of Veterans Affairs’ integrated service networks. The model minimizes the total cost borne by the health system and its patients and incorporates admission acuity levels, service proportion requirements, and admission retention rates. A common resource constraint is introduced at the facility level since treatment of multiple acuity levels involves the pooling of common resources. Realistic instances of the model with 20 potential service locations, 50 admission districts and up to five open treatment units for three levels of severity are solved in about 300 seconds. The applicability of the model is tested by an extensive managerial experiment using data derived from one of the Department of Veterans Affairs specialized healthcare services. We investigate the effects of five critical factors: (1) the degree of service centralization, (2) service level mandates by acuity, (3) lost admission cost by acuity, (4) facility overload penalty cost by acuity and (5) target utilization level by acuity and treatment unit. We examine the countervailing forces present in making healthcare service location decisions and the resulting tradeoffs from the implicitly multiobjective nature of the system. The experiment and analysis demonstrate that the major factors of the experiment have a significant bearing on the optimal assignment of admission districts to treatment units.

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

[2]  George L. Nemhauser,et al.  The uncapacitated facility location problem , 1990 .

[3]  Venkata Reddy Muppani,et al.  Efficient formation of storage classes for warehouse storage location assignment: A simulated annealing approach , 2008 .

[4]  Siddhartha S. Syam,et al.  A location–allocation model for service providers with application to not-for-profit health care organizations , 2010 .

[5]  E. Mackenzie,et al.  A trauma resource allocation model for ambulances and hospitals. , 2000, Health services research.

[6]  Siddhartha S. Syam A model and methodologies for the location problem with logistical components , 2002, Comput. Oper. Res..

[7]  Donald Erlenkotter,et al.  A Dual-Based Procedure for Uncapacitated Facility Location , 1978, Oper. Res..

[8]  George O. Wesolowsky,et al.  FACILITIES LOCATION: MODELS AND METHODS , 1988 .

[9]  W. L. Price,et al.  Locating a Blood Bank , 1986 .

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

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

[12]  Mark S Roberts,et al.  A Methodological Framework for Optimally Reorganizing Liver Transplant Regions , 2005, Medical decision making : an international journal of the Society for Medical Decision Making.

[13]  Siddhartha S. Syam,et al.  A mixed integer programming model to locate traumatic brain injury treatment units in the Department of Veterans Affairs: a case study , 2007, Health care management science.

[14]  V. Smith-Daniels,et al.  Location and service mix decisions for a managed health care network , 1993 .

[15]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[16]  Teodor Gabriel Crainic,et al.  Dual-Ascent Procedures for Multicommodity Location-Allocation Problems with Balancing Requirements , 1993, Transp. Sci..