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    Mexican Journal of Operations Research, Vol. 2, No. 2, Jul-Dec 2013, pp. 29-41. ISSN: 2007-5138.

    Received Jul 6, 2013 / Accepted Sep 25, 2013

    Editorial Acadmica Dragn Azteca (EDITADA.ORG)

    Measuring the operational efficiency of selected Major Ports in India

    T. Rajasekar

    Ph. D Scholar

    Department of Commerce, Pondicherry University

    Pondicherry605014

    [email protected]

    Malabika Deo

    Professor & Head

    Department of Commerce, Pondicherry University

    Pondicherry605014

    [email protected]

    Abstract

    The present research work examine the operational efficiency of

    selected major ports in India during the study period 1993-2011through

    data envelopment analysis. Hypothesis tested in this study is, size not a

    determinant factor for port efficiency. Based on the results it is found that

    both bigger ports i.e. Mormugao, Jawaharlal Nehru Port Trust and smaller

    ports Ennore, Tuticorin were proved to have efficient port operations all

    through. The result of super efficiency analysis, the study found that JNPT

    port rated as super efficient port among the selected major ports in India.

    Keywords: Major Ports in India, Data Envelopment Analysis, Operational

    efficiency, Super efficiency model

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    1. Preamble

    India being surrounded by ocean in three sides, it is clearly states that Indias economic development is

    extremely depend upon external trade and 90% of the Indias export and import were carried through seaports.

    Among this major ports plays an important role for export and import transacted in the country, this major ports

    carries more than 75% of total Indias trade. The goods being transacted through logistics chain movement, this

    logistics become important for any country for its competitiveness in industry. Based on the report of Asian

    Development Bank (2007), if the current trend flows out to the future, around 2 billion tons of cargo will be

    passed through Indian ports during the year 2015-16. This shows that measuring efficiency of the ports should

    be given priority and the facilities of the ports over looked. To improve the efficiency and cargo volume traded

    the hub-strategy should be implemented every port i.e. the place enchanting all types of container traffics, this

    will improve the trade capacity of the port. The study consider the hypothesis is to test size is not a contributing

    factor for port efficiency, some of the studies supporting our hypothesis that bigger ports is a source of

    inefficiency for example Coto-Millan et al. 2000 and Cullinane et al. 2004. When some of the studies having

    different opinion about the size and efficiency. So here the question arises whether size determines the

    efficiency of major ports in India? To answer the above question, the present study carried out the aspect of

    operational evaluation of selected major ports in India.

    2. Literature Review

    The performance of port efficiency has been measured by many researchers such as Roll and Hayuth measured

    the port efficiency through data envelopment analysis. Martinez Budria et al. (1999) considered the Spanish

    port performance through DEA. Tongzon (2001) evaluated the port performance of 16 container terminals invarious countries in the world. Greek and major four Portuguese ports have been measured by Barros and

    Athanssiou (2004). The study made by Cullinane et al (2005) studied privatization and port performance of

    worlds top 30 container terminals.

    There are few studies taking the issue of the efficiency is based on size? The following studies major aim to

    study the relationship between efficiency and size. Al Eraqi A.S. et al (2008) find out the efficiency of 22

    major seaports in the region of Middle Eastern and East African and it found that bigger ports are efficient.

    Coto-Millan, P (2000) measured 27 Spanish ports performance and it found that smaller ports are efficient while

    compare with bigger ports. Sohn, J and Jung, G (2009) find out operational efficiency of 16 Asian ports and the

    study concluded that larger ports shows better efficiency. Finally Turner, H et al (2004) analysed top 26 ports in

    the region of United States and Canada and it is found that bigger ports are efficient. From the literature review

    it is found that most of the studies are used data envelopment analysis (DEA) for measuring its efficiency, Itoh

    (2002) suggested that DEA is the suitable model for measuring port efficiency. In this direction this study is also

    try to measure the operational performance of selected major ports in India during 1993 2011 with DEA

    models.

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    3. Methodology

    3. 1. Objective and Data

    The aim of the study is to measuring the operational performance of selected major ports in India during 1993-

    2011. This analysis is closely related whether size influencing operational efficiency of selected major ports.

    The study used input variables like land, labour and equipments whereas outputs are used container traffic and

    total cargo traffic of the selected major ports. This study is entirely based on secondary data which was collected

    from the port authorities, CMIE data bases and India Stat websites.

    3. 2. Data Envelopment Analysis Overview

    The journey of data envelopment analysis (DEA) has been invented by Charnes et al (1978), this technique is

    based on linear programming and it will convert the input and output variable to linearity technique for

    measuring the efficiency. This conversion is based on the inputs and outputs for its decision making units

    (DMU). According to Thanassoulis (2003) data envelopment analysis will give relative efficiency of decision

    making units instead of absolute efficiency. Data envelopment analysis is based on mathematical calculation and

    also it is called as non-parametric test because it is not following any distribution method. According to

    Athanassopoulos and Curram, 1996 studied the bank and restaurant efficiency, through that the author suggested

    that DEA is not only suitable for public sector companies but also it will be suitable to measure the efficiency of

    private sector firms. Soares de Mellor et al, 2003 highlighted DEA not only measuring the efficiency but also it

    identifies the inefficiencies and making benchmark for the efficient and inefficient units. The study done by

    Borenstein et al, 2004 state that DEA can differentiate both efficient and inefficient and it will suggest the

    adjustment needed for efficient. Siems, 1992 point out measurement of efficiency is based on weighted sum of

    inputs and outputs. Based on Saha and Ravisankar, 2000 DEA cannot produce negative weight and the efficient

    ratio is restricted to 1 or 100%. DEA set score for each decision making units for its relative performance. In

    general, DEA scores is restricted from 0 to 1% or 0 to 100% but the efficient unit obtains the value equal to 1 or

    100% (Marinho, 2003).

    In DEA model, standard CCR measures the constant returns to scale whereas standard BCC measures the

    variable return to scale efficiencies. The application of DEA can be classified into input-oriented and output-

    oriented. Input-oriented model minimize the inputs where desire level of output will be achieved, output

    oriented model maximize the outputs while input keep as constant level. Both the input and output oriented

    model seeks maximize the outputs, minimize the inputs and maximize the efficiency level. Input oriented model

    closely related to operational and managerial issues, output oriented model associated with planning and

    strategy (Cullinane et al, 2005). In the competition world and port sector reforms most of the ports continuously

    review their capacity in order to make sure they can give better services to the society and port users. Taking

    this think in the consideration the present study used output oriented DEA models for measuring the efficiency

    of selected major ports in India.

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    3. 3. Compilation of Input and Output Variables

    Variables Contents Relevant Literature

    InputVariable

    No of Berth Rios and Macada (2006), Liu (2008)

    Berth Length

    Al-Eraqi A. Salem (2008), Cullinane K et. al

    (2006), Cullinane and Wang (2006),

    No of EquipmentsAl-Eraqi A. Salem (2008), Rios and Macada(2006), Wu and Lin (2008), Cullinane and Wang(2006), Liu (2008)

    No of EmployeesRoll and Hayuth (1993), Rios and Macada(2006),

    OutputVariable

    Container Throughput (TEU)Valentine and Gray, Wu and Lin (2008),Cullinane K et. al (2006), Cullinane and Wang

    (2006),

    Total TrafficCoto-Millan et. al. (2000), Valentine and Gray,

    Al-Eraqi A. Salem (2008), Liu (2008)

    Before select the input and output variable the research have gone thoroughly all the earlier literature which was

    studied in the port sector. In the above table the input variables have been selected based on land, labour and

    equipments are given priority. Because these thinks are most important for any organization and data

    envelopment analysis also supporting for the above issues while selecting the input data. The study has been

    collected the above data personally all the major ports. After checking the multicollinearity through correlation

    test the above variables like number of berths, berth length, number of equipments and number of employees

    were selected. The reason behind selecting the input variables number of berth, berth length is playing vital role

    for cargo handling whereas number of equipments and number of employees is important for its loading and

    unloading activities, keeping in these thinks the above variable has been given priority for selecting as input

    variables. For measuring the efficiency of port sector container throughput in TEU and total traffic were

    considered as the output variables for this study.

    3. 4. Pearson Correlation results

    Totaltraffic

    No ofequipment

    No ofemployees

    No ofberth

    ContainerBerthlength

    Total traffic 1.000

    No of equipment 0.265 1.000No of employees 0.356 0.208 1.000

    No of berth 0.438 0.217 0.936 1.000Container 0.473 0.737 0.060 0.004 1.000

    Berth length 0.507 0.245 0.882 0.970 0.045 1.000

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    The selection of input and output variable should be reflecting the efficiency of port operations. To make it

    confirm in the statistical analysis Pearson correlation test has been conducted. From the test results the

    independent variables having reasonable relationship with other variables. According to Jenkins and Anderson,

    2003 the variables showing below 0.6 in the correlation test indicating that there is no need for variable

    elimination. The variables have chosen in the above aspects and more or less it will reflect the efficiency of port

    sector.

    4. Results & Discussion

    Table1 Standard DEACCR

    Mormugao Chennai Paradip Tuticorin Cochin Ennore Mumbai JNPT

    1993 1.000 0.797 0.753 1.000 0.512 - 1.000 1.000

    1994 1.000 0.748 0.719 1.000 0.501 - 1.000 1.000

    1995 1.000 0.636 0.866 1.000 0.577 - 1.000 1.0001996 1.000 0.632 0.862 1.000 0.500 - 1.000 1.000

    1997 1.000 0.728 0.926 1.000 0.535 - 1.000 1.000

    1998 1.000 0.692 0.773 1.000 0.416 - 1.000 1.000

    1999 1.000 0.741 0.951 1.000 0.501 - 0.900 1.000

    2000 1.000 0.742 0.978 1.000 0.480 - 0.641 1.000

    2001 1.000 0.767 1.000 1.000 0.429 - 0.451 1.000

    2002 1.000 0.508 0.824 1.000 0.297 1.000 0.336 1.000

    2003 1.000 0.641 0.708 1.000 0.263 1.000 0.277 1.000

    2004 1.000 0.674 0.663 1.000 0.253 1.000 0.277 1.000

    2005 1.000 0.797 0.745 1.000 0.283 1.000 0.306 1.000

    2006 1.000 0.922 0.812 1.000 0.230 1.000 0.318 1.000

    2007 1.000 1.000 0.871 1.000 0.254 1.000 0.317 1.000

    2008 1.000 1.000 0.932 1.000 0.238 1.000 0.324 1.000

    2009 1.000 1.000 1.000 1.000 0.249 1.000 0.286 1.000

    2010 1.000 1.000 1.000 1.000 0.242 1.000 0.242 1.000

    2011 1.000 1.000 1.000 1.000 0.228 1.000 0.296 1.000

    Mean 1.000 0.791 0.862 1.000 0.368 1.000 0.577 1.000

    Rank 1 6 5 1 8 1 7 1

    Note: Ennore port stated its operations in 2002only.

    Table1, shows standard CCR results and its ranking for selected major ports in India, this model result which

    is obtained exactly 1.00 will be treated as efficient and other values are treated as inefficient. From the table it is

    evident that the ports of Mormugao, Tuticorin, Ennore and JNPT were proved to have efficient port operation

    during 1993-2011, whereas Chennai port shows inefficient throughout the study period except in the year 2007 -

    2011under standard CCR model. The other ports like Mumbai and Paradip shows fluctuating efficiency during

    the study period, the port of Mumbai had efficient in the first six years rest it was operated as inefficient same

    time Paradip shows efficient in the year 2001, 2009, 2010 and 2011 rest of the years it was inefficient. The port

    of Cochin were operated inefficient throughout the study period. From the above results the selected major ports

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    could be ranked according to its scores. The ports of Mormugao, Tuticorin, Ennore and JNPT jointly occupied

    first position. Followed by Paradip port ranked fifth position among the selected ports, the port Chennai were

    occupied sixth position. The other ports like Mumbai and Cochin were occupied last two position among the

    selected major ports in India.

    Table2 Standard DEABCC

    Mormugao Chennai Paradip Tuticorin Cochin Ennore Mumbai JNPT

    1993 1.000 1.000 1.000 1.000 0.613 - 1.000 1.000

    1994 1.000 1.000 1.000 1.000 0.595 - 1.000 1.000

    1995 1.000 1.000 1.000 1.000 0.666 - 1.000 1.000

    1996 1.000 1.000 1.000 1.000 0.626 - 1.000 1.000

    1997 1.000 1.000 1.000 1.000 0.655 - 1.000 1.000

    1998 1.000 1.000 1.000 1.000 0.542 - 1.000 1.000

    1999 1.000 1.000 1.000 1.000 0.596 - 1.000 1.000

    2000 1.000 1.000 1.000 1.000 0.567 - 1.000 1.000

    2001 1.000 1.000 1.000 1.000 0.508 - 0.972 1.000

    2002 1.000 0.465 0.939 1.000 1.000 1.000 0.868 1.000

    2003 1.000 1.000 1.000 1.000 0.485 1.000 0.795 1.000

    2004 1.000 1.000 0.902 1.000 0.440 1.000 0.827 1.000

    2005 1.000 1.000 0.973 1.000 0.419 1.000 0.802 1.000

    2006 1.000 1.000 1.000 1.000 0.370 1.000 0.935 1.000

    2007 1.000 1.000 1.000 1.000 0.360 1.000 0.980 1.000

    2008 1.000 1.000 1.000 1.000 0.329 1.000 0.998 1.000

    2009 1.000 1.000 1.000 1.000 0.299 1.000 0.902 1.000

    2010 1.000 1.000 1.000 1.000 0.296 1.000 0.893 1.000

    2011 1.000 1.000 1.000 1.000 0.300 1.000 0.909 1.000

    Mean 1.000 0.972 0.990 1.000 0.509 1.000 0.941 1.000

    Rank 1 6 5 1 8 1 7 1

    Note: Ennore port stated its operations in 2002only.

    Standard DEA BCC model and it results were obtained in the table 2. The port of Mormugao, Tuticorin,

    Ennore and JNPT were again being rated as efficient port operations in India, while Chennai also showsefficient score all the years except in the year 2002 were it was inefficient. Paradip port also rated as efficient

    ports all the year except in the year 2002, 2004 and 2005 were it was rated as inefficient. Mumbai port had

    efficient operations in the first eight years after that it was operated as inefficient. Cochin port were again rated

    as inefficient throughout the study period. While the results of DEA-BCC shows more efficient years compare

    with DEA CCR results, the reason for this DEA-CCR based on constant return to scale whereas DEA-BCC

    results based on variable return to scale.

    The port of Mormugao, Tutiocorin, Ennore and JNPT were again occupied the first position with

    efficient throughout the years. The ports of Chennai and Paradip has occupied the positions of fifth and sixth

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    respectively. The least efficient ports like Mumbai and Cochin were occupied the last two positions among the

    selected major ports in India.

    Table3, Relative Efficiency of Major Ports in India

    Chennai Cochin JNPT Mormugao Mumbai Paradip Tuticorin Ennore

    1993Scale

    Inefficient

    Pure Technical

    InefficientEfficient Efficient Efficient Efficient Efficient

    Not in

    Operating

    1994Scale

    Inefficient

    Pure Technical

    InefficientEfficient Efficient Efficient Efficient Efficient

    Not in

    Operating

    1995Scale

    InefficientPure Technical

    InefficientEfficient Efficient

    ScaleInefficient

    Efficient EfficientNot in

    Operating

    1996Scale

    Inefficient

    Pure Technical

    InefficientEfficient Efficient

    Scale

    InefficientEfficient Efficient

    Not in

    Operating

    1997Scale

    Inefficient

    Pure Technical

    InefficientEfficient Efficient

    Scale

    InefficientEfficient Efficient

    Not in

    Operating

    1998Scale

    Inefficient

    Pure Technical

    InefficientEfficient Efficient

    Scale

    InefficientEfficient Efficient

    Not in

    Operating

    1999 ScaleInefficient

    Pure TechnicalInefficient

    Efficient Efficient ScaleInefficient

    Efficient Efficient Not inOperating

    2000Scale

    InefficientPure Technical

    InefficientEfficient Efficient

    ScaleInefficient

    Efficient EfficientNot in

    Operating

    2001Scale

    Inefficient

    Pure Technical

    InefficientEfficient Efficient

    Scale

    InefficientEfficient Efficient

    Not in

    Operating

    2002Scale

    Inefficient

    Pure Technical

    InefficientEfficient Efficient

    Scale

    Inefficient

    Pure

    Technical

    Inefficient

    Efficient Efficient

    2003Scale

    Inefficient

    Pure Technical

    InefficientEfficient Efficient

    Scale

    Inefficient

    Pure

    Technical

    Inefficient

    Efficient Efficient

    2004 ScaleInefficient

    Scale Inefficient Efficient Efficient ScaleInefficient

    Pure

    Technical

    Inefficient

    Efficient Efficient

    2005Scale

    InefficientScale Inefficient Efficient Efficient

    Scale

    Inefficient

    Scale

    InefficientEfficient Efficient

    2006Scale

    Inefficient

    Pure Technical

    InefficientEfficient Efficient

    Scale

    Inefficient

    Scale

    InefficientEfficient Efficient

    2007Scale

    Inefficient

    Pure Technical

    InefficientEfficient Efficient

    Scale

    Inefficient

    Pure

    TechnicalInefficient

    Efficient Efficient

    2008Scale

    Inefficient

    Pure Technical

    InefficientEfficient Efficient

    Scale

    Inefficient

    Pure

    Technical

    Inefficient

    Efficient Efficient

    2009Scale

    InefficientPure Technical

    InefficientEfficient Efficient

    ScaleInefficient

    PureTechnical

    Inefficient

    Efficient Efficient

    2010Scale

    Inefficient

    Pure Technical

    InefficientEfficient Efficient

    Scale

    Inefficient

    Pure

    TechnicalInefficient

    Efficient Efficient

    2011

    Pure

    Technical

    Inefficient

    Scale Inefficient Efficient EfficientScale

    Inefficient

    Pure

    Technical

    Inefficient

    Efficient Efficient

    Note: Ennore Port started its operations in 2002 only ***** - represents efficient units

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    Relative efficiency analysis of selected major ports in Indi during 1993 2011were taken place in the table3,

    this table measuring the efficient as well as inefficient units and the reasons for the inefficient unit. The score

    report indicates that the ports like Mormugao, Tuticorin, Ennore and JNPT operated as efficient ports among

    selected major ports in India. The ports of Chennai and Paradip were showed inefficiency because of utilization

    of its resources i.e. scale inefficient in most of the years except in the year 2007-11 and 2009-11 respectively.

    This inefficient ports need to improve its utilization capacity to become efficient one. The port of Cochin shows

    pure technical inefficient throughout the study period, this indicates technologically this port behind while

    compare with other selected ports. So the technological up gradation should be taken care to become efficient

    unit. Port of Mumbai has operated efficient in the initial years and latterly it was inefficient because of lack of

    utilization capacity. Properties of scaling techniques four ports are constant return to scale prevails and two ports

    are increasing returns to scale and rest two ports show decreasing returns to scale.

    Table4, DEAAdditive Constant Return to Scale

    Mormugao Chennai Paradip Tuticorin Cochin Ennore Mumbai JNPT

    1993 1.000 0.611 0.607 1.000 0.455 - 1.000 1.000

    1994 1.000 0.597 0.573 1.000 0.484 - 1.000 1.000

    1995 1.000 0.611 0.861 1.000 0.547 - 1.000 1.000

    1996 1.000 0.608 0.855 1.000 0.443 - 1.000 1.000

    1997 1.000 0.676 0.915 1.000 0.491 - 1.000 1.000

    1998 1.000 0.626 0.759 1.000 0.390 - 1.000 1.000

    1999 1.000 0.621 0.928 1.000 0.390 - 0.725 1.000

    2000 1.000 0.582 0.955 1.000 0.339 - 0.469 1.000

    2001 1.000 0.545 1.000 1.000 0.316 - 0.375 1.000

    2002 1.000 0.437 0.516 1.000 0.260 1.000 0.294 1.000

    2003 1.000 0.492 0.479 1.000 0.252 1.000 0.255 1.000

    2004 1.000 0.488 0.458 1.000 0.242 1.000 0.257 1.000

    2005 1.000 0.735 0.539 1.000 0.277 1.000 0.268 1.000

    2006 1.000 0.837 0.804 1.000 0.229 1.000 0.227 1.000

    2007 1.000 1.000 0.858 1.000 0.248 1.000 0.187 1.000

    2008 1.000 1.000 0.917 1.000 0.230 1.000 0.161 1.000

    2009 1.000 1.000 1.000 1.000 0.230 1.000 0.133 1.000

    2010 1.000 1.000 1.000 1.000 0.208 1.000 0.080 1.000

    2011 1.000 1.000 1.000 1.000 0.207 1.000 0.270 1.000Mean 1.000 0.709 0.791 1.000 0.328 1.000 0.511 1.000

    Rank 1 6 5 1 8 1 7 1

    DEAAdditive models measures how the firms are efficiently using their resources. Standard DEA- BCC and

    DEA CCR models measures input and output oriented models for separately whereas DEA-Additive model

    measures the combination of input and output oriented model. From the table it is revealed that the ports like

    Mormugao, Tuticorin, Ennore and JNPT using their resources efficiently throughout the study period. The ports

    of Chennai shows inefficient utilization during all the years except in the year 2007-2011 it was inefficient.

    Paradip also found to be inefficient utilization all the years except 2001, 2009 2011. Mumbai port shows

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    efficient utilization during first six years and latterly it went to inefficient. The port of Cochin shows inefficient

    utilization throughout the study period. The efficient utilization ports having acceptable technology so that the

    utilization has been successful with out delay but the same time inefficient ports should concentrate on its

    technological up gradation to become efficient utilization. The port of Mormugao, Tuticorin, Ennore and JNPT

    were ranked as first positions followed by Paradip has occupied fifth position among selected major ports. The

    port of Chennai rated as six position in utilization capacity and lease perform ports like Mumbai and Cochin has

    occupied last two positions during the study period.

    Table5, DEAAdditive Variable Return to Scale

    Mormugao Chennai Paradip Tuticorin Cochin Ennore Mumbai JNPT

    1993 1.000 1.000 1.000 1.000 0.467 - 1.000 1.000

    1994 1.000 1.000 1.000 1.000 0.479 - 1.000 1.000

    1995 1.000 1.000 1.000 1.000 0.571 - 1.000 1.000

    1996 1.000 1.000 1.000 1.000 0.701 - 1.000 1.000

    1997 1.000 1.000 1.000 1.000 0.720 - 1.000 1.000

    1998 1.000 1.000 1.000 1.000 0.638 - 1.000 1.000

    1999 1.000 1.000 1.000 1.000 0.352 - 1.000 1.000

    2000 1.000 1.000 1.000 1.000 0.317 - 1.000 1.000

    2001 1.000 1.000 1.000 1.000 0.305 - 1.000 1.000

    2002 1.000 1.000 0.813 1.000 0.262 1.000 1.000 1.000

    2003 1.000 1.000 1.000 1.000 0.259 1.000 1.000 1.000

    2004 1.000 1.000 0.715 1.000 0.249 1.000 1.000 1.000

    2005 1.000 1.000 0.831 1.000 0.281 1.000 1.000 1.000

    2006 1.000 1.000 1.000 1.000 0.231 1.000 1.000 1.000

    2007 1.000 1.000 1.000 1.000 0.260 1.000 0.226 1.000

    2008 1.000 1.000 0.167 1.000 0.242 1.000 1.000 1.000

    2009 1.000 1.000 1.000 1.000 0.236 1.000 0.136 1.000

    2010 1.000 1.000 1.000 1.000 0.211 1.000 0.082 1.000

    2011 1.000 1.000 1.000 1.000 0.213 1.000 0.099 1.000

    Mean 1.000 1.000 0.922 1.000 0.368 1.000 0.818 1.000

    Rank 1 1 6 1 8 1 7 1

    Note: Ennore port stated its operations in 2002only.

    Table 5 results measures the utilization capacity under variable returns to scale for selected major ports in

    India during 1993 2011. The port operation of Mormugao, Chennai, Tuticorin, Ennore and JNPT were

    efficiently utilizing it resources throughout the study period. Paradip port rated as efficient port operations all

    the years except in the year 2002, 2004, 2005 and 2008 during the period it was operated as inefficient. Mumbai

    port shows efficient utilization in the initial years but latterly it went to inefficient. The port of Cochin rated

    again inefficient utilization through variable returns to scale during all the years. Rank wise classification the

    ports like Mormugao, Chennai, Tuticorin, Ennore and JNPT shared first positions during the study period. The

    ports like Paradip and Mumbai ranked sixth and seventh positions during 1993 2011. The lease efficient port

    Cochin rated last rank among selected major ports in India.

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    Table6, DEAA&P Super Efficiency Model

    Mormugao Chennai Paradip Tuticorin Cochin Ennore Mumbai JNPT

    1993 3.141 0.797 0.753 2.063 0.512 - 1.032 6.446

    1994 3.296 0.748 0.719 2.143 0.504 - 1.073 5.190

    1995 2.144 0.636 0.866 2.248 0.577 - 1.171 6.0631996 2.650 0.632 0.862 1.983 0.500 - 1.119 7.043

    1997 2.448 0.728 0.926 1.962 0.535 - 1.101 6.945

    1998 2.672 0.692 0.773 2.093 0.416 - 1.078 7.824

    1999 2.300 0.741 0.951 1.882 0.501 - 0.900 10.000

    2000 2.208 0.742 0.978 2.152 0.480 - 0.641 10.000

    2001 2.402 0.767 1.076 2.182 0.429 - 0.451 10.000

    2002 3.789 0.508 0.824 2.124 0.297 10.000 0.336 10.000

    2003 2.255 0.641 0.708 1.731 0.263 10.000 0.275 10.000

    2004 2.496 0.674 0.663 1.727 0.253 10.000 0.277 10.000

    2005 2.452 0.797 0.745 1.916 0.283 10.000 0.306 10.000

    2006 2.084 0.922 0.812 1.805 0.230 10.000 0.318 8.389

    2007 1.945 1.027 0.871 1.634 0.254 10.000 0.317 8.756

    2008 1.835 1.157 0.932 1.407 0.238 8.091 0.324 9.802

    2009 2.358 1.253 1.101 1.420 0.249 5.370 0.286 9.647

    2010 2.243 1.258 1.193 1.183 0.242 3.543 0.242 9.857

    2011 2.337 1.467 1.168 1.179 0.228 3.344 0.296 9.209

    Mean 2.477 0.852 0.891 1.833 0.368 4.229 0.608 8.693

    Rank 3 6 5 4 8 2 7 1

    DEA Anderson & Peterson model measures super efficiency among selected major ports in India. Super

    efficiency ranking method developed by Anderson and Peterson in the year 1993, is the most widespread

    method and the model was followed by many of the researchers for measuring the super efficiency on decision

    making units. Super efficiency measures can be calculated both the efficient and inefficient observations, in

    efficient observations may obtain higher value were inefficient observation the measure of efficiency score do

    not change. From the table it is found that the port of JNPT shows higher efficiency among selected major ports

    in India with 8.693 followed by Ennore port shows super efficient during the study period with 4.229 and placed

    in the second position. Mormugao port also rated as super efficient with 2.477 among selected major ports in

    India. The port of Tuticorin shows super efficient during the study period with the value of 1.833. Other ports

    like Chennai, Paradip, Mumbai and Cochin were rated as inefficient ports, because DEA A & P do not

    measure inefficient observations.

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    4. Concluding remarks

    Measuring the relative efficiency of ports data envelopment analysis has been used. The present study has been

    employed DEA models for measuring the relative efficiency of selected major ports in India during 1993

    2011. The selection of input and output variables are based on the variable having close relationship with the

    efficiency of ports were considered. The input variables has been selected for this study is number of berths,

    berth length, number of equipments and number of employees whereas output variables are considered in this

    study is container throughput and total traffic. Based on the results the ports like Mormugao, Tuticorin, Ennore

    and JNPT rated as efficient ports under the standard DEA-CCR, BCC and DEA Additive CRS and VRS

    methods. The study also shows that size is not a determinant factor for port efficiency i.e. bigger ports like

    Mormugao, JNPT and smaller ports Ennore, Tuticorin were proved to be efficient ports all though. It can be

    concluded that there is no difference between size and efficiency of the port. Based on the results some of the

    ports are operated as inefficiency, so it is necessary to strengthen the operation of the Indian ports. Few

    suggestions can be made through this study to reinforce the performance of major ports in India.

    From the study it can be understood that some of the ports are operating inefficiently so this is the time to think

    about longterm plan for boost up the upgrade of infrastructure facilities in the major ports.

    The inefficiencies mostly in terms of scale inefficient and the port of Cochin shows pure technical inefficient,

    for scale inefficient it is time to modernize the ports to become efficient port. For improving technical efficiency

    the technological up gradation should be taken care for the particular ports. However, the caution should be

    taken care when interpreting the efficient ports like Mormugao, Tuticorin, Ennore and JNPT, they may be better

    when comparison of the ports but not the best one, where there exists little room for further betterment.

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