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Measurement of Efficiency and Productivity Growth of Hospital Systems: A Indian Case Study

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Healthcare Systems Management: Methodologies and Applications

Part of the book series: Managing the Asian Century ((MAAC))

Abstract

The increased importance of the healthcare sector over the last two decades and current concern over productivity growth have stirred interest in productivity and efficiency measures in this expanding sector of the economic system. Productivity in economic position is determined as the relation between output and input. Productivity concept in manufacturing is analysed in the scope of the organization, but in the service sector like in hospital, this arena is larger and needs an external portion of the organizational position as patients. This paper deals with the measurement of efficiency and productivity growth of the hospital systems. To measure productivity and efficiency of an Indian hospital system, the Malmquist productivity index is applied, based on the data envelopment analysis (DEA). The efficiency and productivity of several departments of the given hospital are analysed and the improvement alternatives also identified.

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Author information

Authors and Affiliations

  1. Department of Industrial and Systems Engineering, IIT Kharagpur, 721302, Kharagpur, India

    Abhik Patra & Pradip Kumar Ray

Authors
  1. Abhik Patra
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  2. Pradip Kumar Ray
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Corresponding author

Correspondence to Abhik Patra .

Editor information

Editors and Affiliations

  1. Indian Institute of Technology Kharagpur , Kharagpur, India

    Pradip Kumar Ray

  2. Indian Institute of Technology , Kharagpur, India

    Jhareswar Maiti

Appendices

Appendices

LINGO Codes for distance ratios

The codes are depicted for the SEE and OCD department for the period of January ’16/December ’15 and February ’16/January ’16 the codes for the repose of the department and for the period March ’16/February ’16 is similarly managed with the data adjusted with the respective stops and the departments as per the data collection. Malmquist productivity index, the technological change and the technical efficiency change can be computed by the distance ratios which will be figured by passing the following codes.

SEE

 

January ’16/December ’15

February ’16/January ’16

Do(t + 1)[x(t + 1),y(t + 1)]

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤ x*(3 + 4);

a*659 + b*880 + c*536 + d*758 ≥ 659;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤  x*(3 + 4);

a*647 + b*858 + c*571 + d*757 ≥ 858;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

Do(t)[x(t + 1),y(t + 1)]

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤ x*(3 + 4);

a*508 + b*526 + c*470 + d*594 ≥ 659;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤x*(3 + 4);

a*659 + b*880 + c*536 + d*758 ≥ 647;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

Do(t + 1)[x(t),y(t)]

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤ x*(3 + 4);

a*659 + b*880 + c*536 + d*758 ≥ 508;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤ x*(3 + 4);

a*647 + b*858 + c*571 + d*757 ≥ 659;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

Do(t)[x(t),y(t)]

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤ x*(3 + 4);

a*508 + b*526 + c*470 + d*594 ≥ 508;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤ x*(3 + 4);

a*659 + b*880 + c*536 + d*758 ≥ 659;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

OCD

 

January ’16/December ’15

February ’16/January ’16

Do(t + 1)[x(t + 1),y(t + 1)]

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤ x*(3 + 4);

a*659 + b*880 + c*536 + d*758 ≥ 880;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤ x*(3 + 4);

a*647 + b*858 + c*571 + d*757 ≥ 858;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

Do(t)[x(t + 1),y(t + 1)]

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤ x*(3 + 4);

a*508 + b*526 + c*470 + d*594 ≥ 880;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤ x*(3 + 4);

a*659 + b*880 + c*536 + d*758 ≥ 858;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

Do(t + 1)[x(t),y(t)]

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤ x*(3 + 4);

a*659 + b*880 + c*536 + d*758 ≥ 526;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤ x*(3 + 4);

a*647 + b*858 + c*571 + d*757 ≥ 880;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

Do(t)[x(t),y(t)]

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤ x*(3 + 4);

a*508 + b*526 + c*470 + d*594 ≥ 526;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

MIN = x;

a*(3 + 4) + b*(3 + 4) + c*(2 + 2) + d*(3 + 3) ≤ x*(3 + 4);

a*659 + b*880 + c*536 + d*758 ≥ 880;

a ≥ 0;

b ≥ 0;

c ≥ 0;

d ≥ 0;

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Patra, A., Ray, P.K. (2018). Measurement of Efficiency and Productivity Growth of Hospital Systems: A Indian Case Study. In: Ray, P., Maiti, J. (eds) Healthcare Systems Management: Methodologies and Applications. Managing the Asian Century. Springer, Singapore. https://doi.org/10.1007/978-981-10-5631-4_2

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