A Method for Target Setting with Share Data

Document Type : research paper


1 Corresponding Author Departments of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

2 Departments of Mathematics, Qazvin Branch, Islamic Azad University,Qazvin, Iran


Data Envelopment Analysis (DEA) is a mathematical programming technique for evaluating
the relative efficiency of a set of Decision Making Units (DMUs) and can also be utilized for
setting target. Target setting is one of the important subjects since according to its results
efficiency can be increased. An important issue to be currently discussed, is to set target
while considering share data. These data for each individual indicate the share of the unit,
which takes part in an activity, from the whole amount which is a predefined constant. It is
obvious that the sum of units’ share is equal to the entire amount. Thus, any changes in the
magnitude of these data has to be dependent on the changes in data of other units. In this
paper a two-stage procedure is developed to find benchmark units where share data exist. The
fact that all DMUs are jointly projected onto the new efficient frontier and simplicity, are the
significant features of the proposed method. With a numerical example we demonstrate how
this method works.


Article Title [فارسی]

روشی برای الگویابی با داده های سهمی

Authors [فارسی]

  • بیژن رحمانی پرچکلایی 1
  • زهره مقدس 2
1 گروه ریاضی، دانشگاه آزاد اسلامی، واحد تهران مرکزی، تهران، ایران
2 گروه ریاضی، دانشگاه آزاد اسلامی، واحد قزوین، قزوین، ایران
Abstract [فارسی]

تحلیل پوششی داده­ها روشی بر مبنای برنام ه­ریزی ریاضی است برای ارزیابی کارایی نسبی و الگویابی مجموعه ه­ای از واحد­های تصمیم­ گیرنده. الگویابی و هدف گذاری معقوله بسیار مهمی می ­باشد زیرا به کمک آن می­ توان کارایی را بهبود داد. موضوعی که در این مقاله مورد بررسی قرار گرفته است الگویابی با داده­های سهمی است. داده هر واحد نشان دهنده سهم آن واحد از یک مجموع ثابت است. واضح است که سهم واحد­ها به یکدیگر وابسته است. پس هر تغییری در سهم یک واحد، واحد­های دیگر را تحت تاثیر قرار می­ دهد. در این مقاله یک روش دو مرحله ه­ای تعمیم یافته برای الگویابی در حضور داده­ های سهمی معرفی
می­ شود و با یک مثال مدل پیشنهادی بررسی می­شود

Keywords [فارسی]

  • تحلیل پوششی داده ها
  • هدف گذاری
  • داده های سهمی
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