DETERMINING LEFT AND RIGHT RETURNS TO SCALE (RTS) AND RTS SUSTAINABILITY BY USING LINEAR PROGRAMMING PROBLEMS BASED ON SIMULTANEOUS CHANGES IN INPUTS AND OUTPUTS

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OMIDI M.; ROSTAMI MALKHALIFEH M.; PAYAN A.; HOSSEINZADEH LOTFI F.

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Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2017 | Volume:3 | Issue:11 Page(s): 59-79

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Title

DETERMINING LEFT AND RIGHT RETURNS TO SCALE (RTS) AND RTS SUSTAINABILITY BY USING LINEAR PROGRAMMING PROBLEMS BASED ON SIMULTANEOUS CHANGES IN INPUTS AND OUTPUTS

Author(s)

OMIDI M. | ROSTAMI MALKHALIFEH M. | PAYAN A. | HOSSEINZADEH LOTFI F. | Issue Writer Certificate

Keywords

DATA ENVELOPMENT ANALYSIS (DEA)Q1

LEFT RETURNS TO SCALE (L-RTS)Q1

RIGHT RETURNS TO SCALE (R-RTS)Q1

OVERALL RETURNS TO SCALE (ORS)Q1

STABILITYQ2

Abstract

Determining the type of returns to scale (RTS) and identifying STABILITY region for RTS of evaluating unit are appropriate abilities for forecasting the future the unit when its size is changed. This paper aims to introduce RTS sustainability of frontier decision making units (DMUs) in data envelopment analysis (DEA). Based on the importance of RTS in relation to decisions of managers, different methods have been proposed to define RTS and determine the type RTS. Research on RTS led to a more general categorize for the type of RTS, named left RTS (L-RTS) and right RTS (R-RTS). All of the methods in evaluating L-RTS and R-RTS have presented parametric programming problems which are non-linear programs, naturally. In tis situation, researchers are facing the challenge to determine the value of parameters. In order to survey this limitation, the present paper suggests linear programming problems. Moreover, the proposed models with minor changes are appropriate tools for determining the RTS sustainability for evaluating unit.

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APA: Copy

OMIDI, M., ROSTAMI MALKHALIFEH, M., PAYAN, A., & HOSSEINZADEH LOTFI, F.. (2017). DETERMINING LEFT AND RIGHT RETURNS TO SCALE (RTS) AND RTS SUSTAINABILITY BY USING LINEAR PROGRAMMING PROBLEMS BASED ON SIMULTANEOUS CHANGES IN INPUTS AND OUTPUTS. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 3(11 ), 59-79. SID. https://sid.ir/paper/257320/en

Vancouver: Copy

OMIDI M., ROSTAMI MALKHALIFEH M., PAYAN A., HOSSEINZADEH LOTFI F.. DETERMINING LEFT AND RIGHT RETURNS TO SCALE (RTS) AND RTS SUSTAINABILITY BY USING LINEAR PROGRAMMING PROBLEMS BASED ON SIMULTANEOUS CHANGES IN INPUTS AND OUTPUTS. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2017;3(11 ):59-79. Available from: https://sid.ir/paper/257320/en

IEEE: Copy

M. OMIDI, M. ROSTAMI MALKHALIFEH, A. PAYAN, and F. HOSSEINZADEH LOTFI, “DETERMINING LEFT AND RIGHT RETURNS TO SCALE (RTS) AND RTS SUSTAINABILITY BY USING LINEAR PROGRAMMING PROBLEMS BASED ON SIMULTANEOUS CHANGES IN INPUTS AND OUTPUTS,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 3, no. 11 , pp. 59–79, 2017, [Online]. Available: https://sid.ir/paper/257320/en

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