{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,2]],"date-time":"2024-02-02T01:20:46Z","timestamp":1706836846329},"reference-count":26,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2020,12]]},"abstract":"<jats:p> In this paper, we deal with the least distance problem (LDP) in Data Envelopment Analysis (DEA), which is to find a closest efficient target over the whole efficient frontier. To this end, we define the efficient frontier by a linear complementarity system and propose a mixed integer programming (MIP) approach to solve the LDP. Our proposed MIP approach: (1) can solve the LDP based on [Formula: see text]-norm ([Formula: see text]) by using a state-of-the-art solver and obtain the closest efficient target over the whole efficient frontier instead of a subset of it; (2) can be applied for computing the least distance DEA models satisfying the monotonicity; (3) is more user-friendly, because it allows a decision maker to improve the efficiency of a decision making unit (DMU) by setting the affordable input\/output level under his\/her circumstance. Thus, the efficient target provided by our approach may be more appropriate from the perspective of the decision makers of DMUs. <\/jats:p>","DOI":"10.1142\/s021759592050027x","type":"journal-article","created":{"date-parts":[[2020,5,12]],"date-time":"2020-05-12T02:51:40Z","timestamp":1589251900000},"page":"2050027","source":"Crossref","is-referenced-by-count":5,"title":["A New MIP Approach on the Least Distance Problem in DEA"],"prefix":"10.1142","volume":"37","author":[{"given":"Xu","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Industrial and Management Systems Engineering, School of Creative Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kuan","family":"Lu","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering and Economics, School of Engineering, Tokyo Institute of Technology, 2-12-1 Ohokayama Meguro-ku, Tokyo 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