title: Directional slack-based measure for the inverse data envelopment analysis.
abstract: A novel technique has been introduced in this research which lends its basis to the Directional Slack-Based Measure for the inverse Data Envelopment Analysis. In practice, the current research endeavors to elucidate the inverse directional slack-based measure model within a new production possibility set. On one occasion, there is a modification imposed on the output (input) quantities of an efficient decision making unit. In detail, the efficient decision making unit in this method was omitted from the present production possibility set but substituted by the considered efficient decision making unit while its input and output quantities were subsequently modified. The efficiency score of the entire DMUs will be retained in this approach. Also, there would be an improvement in the efficiency score. The proposed approach was investigated in this study with reference to a resource allocation problem. It is possible to simultaneously consider any upsurges (declines) of certain outputs associated with the efficient decision making unit. The significance of the represented model is accentuated by presenting numerical examples.
authors.affiliation: Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia.
authors.forename: Ali
authors.identifier: 0000-0003-4797-5617
authors.initials: A
authors.lastname: Mirsalehy
authors.affiliation: Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia ; Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia.
authors.forename: Mohd Rizam
authors.initials: MR
authors.lastname: Abu Bakar
authors.affiliation: Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia ; Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia.
authors.forename: Lai Soon
authors.initials: LS
authors.lastname: Lee
authors.affiliation: Faculty of Computer Science and I.T, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia.
authors.forename: Azmi B
authors.initials: AB
authors.lastname: Jaafar
authors.affiliation: Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia ; Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia.
authors.forename: Maryam
authors.initials: M
authors.lastname: Heydar
mesh_terms: D015233:Models, Statistical; D040841:Resource Allocation / Q000379:methods* / Q000706:statistics & numerical data; D013223:Statistics as Topic / Q000379:methods*