New slack model based efficiency assessment of public sector hospitals of Uttarakhand: state of India

  • Sandeep Kumar Mogha
  • Shiv Prasad Yadav
  • S. P. Singh
Original Article


The total potentials for improvement in the efficiency of a DMU frequently remain unrevealed by calculating radial efficiency measure by basic data envelopment analysis (DEA) models. This paper, therefore, applies a new slack model (NSM) of DEA, which directly deals with input and output slacks, to assess the efficiency of 27 public sector hospitals of State of Uttarakhand (India) for the calendar year 2011. The study is undertaken with three inputs: number of beds, number of doctors and number of paramedical staff (PMS) and four outputs: number of outdoor-patients and number of indoor-patients including two case-mix outputs: number of major surgery and number of minor surgery received. The data for the study have been collected from the Directorate of Medical Health and Family Welfare, Government of Uttarakhand, Dehradun, India. The paper concludes that overall technical efficiency of average hospitals in the State is only 55.90 % which indicates that the hospitals have a high potential for improvement. Region-wise efficiency analysis reveals that the hospitals of Garhwal region are found to achieve relatively better efficiency score than their counterparts of Kumaon region. To examine the robustness of the results, sensitivity analysis is also conducted.


DEA CRS Linear programming Efficiency Super efficiency Public hospitals Uttarakhand 


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Copyright information

© The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden 2013

Authors and Affiliations

  • Sandeep Kumar Mogha
    • 1
  • Shiv Prasad Yadav
    • 1
  • S. P. Singh
    • 2
  1. 1.Department of MathematicsIndian Institute of Technology RoorkeeRoorkeeIndia
  2. 2.Department of Humanities and Social SciencesIndian Institute of Technology RoorkeeRoorkeeIndia

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