Download Extension of Data Envelopment Analysis with Preference by Tarja Joro, Pekka J. Korhonen PDF

By Tarja Joro, Pekka J. Korhonen

This publication offers an creation to incorporating choice info in facts Envelopment research (DEA) with a distinct emphasis in price potency research. as well as theoretical issues, a variety of illustrative examples are incorporated. consequently, the publication can be utilized as a instructing textual content in addition. just a modest mathematical historical past is required to appreciate the most rules. the single must haves are a) familiarity with linear algebra, in particular matrix calculus; b) wisdom of the simplex strategy; and c) familiarity with using machine software.

The publication is geared up as follows. bankruptcy 1 offers motivation and introduces the elemental recommendations. bankruptcy 2 offers the fundamental rules and types of knowledge Envelopment research. The effective frontier and construction chance set options play a massive position in all issues. that is why those ideas are thought of extra heavily in bankruptcy three. because the methods brought during this research are encouraged via a number of target Linear Programming, the fundamental strategies of this box are reviewed in bankruptcy four. bankruptcy five additionally compares and contrasts information Envelopment research and a number of target Linear Programming, supplying a few cornerstones for methods provided later within the publication. bankruptcy 6 discusses the conventional methods take into consideration choice info in DEA. In bankruptcy 7, worth potency is brought, and bankruptcy eight discusses sensible points. a few extensions are provided in bankruptcy nine, and in bankruptcy 10 price potency is prolonged to hide the case while a creation hazard set isn't really convex. 3 carried out purposes are reviewed in bankruptcy eleven.

Show description

Read or Download Extension of Data Envelopment Analysis with Preference Information: Value Efficiency PDF

Best production & operations books

Strategic Purchasing and Supply Management: A Strategy-Based Selection of Suppliers

Paying for and provide administration (PSM) remains to be no longer thought of a strategic functionality in lots of businesses even supposing on commonplace greater than half a company’s price proposition stems from its providers. In today’s economic system, businesses which forget the strategic administration in their offer base fall in the back of their opponents.

Innovation Offshoring: From Cost to Growth: Analysis of Innovation Offshoring Strategies with Evidence from European Sponsors and Asian Contract Researchers

During the last years, businesses have more and more really good and shrunk actions to exterior companions in low-wage international locations. whereas those offshoring contracts are thought of to be fairly winning in company fact, managers are basically offshoring to gain issue expense merits and thereby forget development possibilities.

Economic Development and Entrepreneurship in Transition Economies : Issues, Obstacles and Perspectives

This booklet contributes to a greater realizing of entrepreneurship in transition economies. present literature displays the extra conventional colleges of proposal on entrepreneurship, that are stimulated by way of the Western viewpoint, and fail to totally handle the state of affairs in transition economies. there's a wide consensus between lecturers, coverage makers, and practitioners basic reason behind problems skilled by means of so much economies in transition has been the truth that reform has now not been observed through the production of latest, inner most companies, and especially SMEs.

Extra info for Extension of Data Envelopment Analysis with Preference Information: Value Efficiency

Sample text

Eur J Oper Res 56:80–97 Thrall RM (1996) Duality, classification and slacks in DEA. Ann Oper Res 66:109–138 Zhu J (1996) Data envelopment analysis with preference structure. 1 Production Possibility Set Many concepts used in DEA are adopted from production economics. One of those concepts is production function f: ℜm ! ℜ(y ¼ f(x)), where vector x represents inputs and y is one-dimensional output. In this case, it is assumed that a DM can control inputs x. There are possibly other inputs, which are non-controllable.

0, w0 6¼ 0 such that η* ¼ 0 ) u0 is not strongly inefficient (see 2. b). Moreover, assume ∃ w1 ! 0, w1 6¼ 0 such that η* > 0 ) u0 is inefficient. Hence it follows that u0 is inefficient, but weakly efficient. a u0 is superefficient ) for all w ! 0, w 6¼ 0, η* < 0 at the optimum or there is no feasible solution for some w ! 0, w 6¼ 0. Assume that u0 is superefficient ) ∃ w ! 0, w 6¼ 0, such that η* ! 0 at the optimum. Because u0 is superefficient, there exists no u 2 P such that u ! u0 and u 6¼ u0 ) for each u 2 P, uj < u0j for at least one j 2 {1, 2, .

0, w 6¼ 0. a u0 is efficient ) for all w ! 0, w 6¼ 0, η* ¼ 0 at the optimum. Assume η* > 0 for some w ! 0, w 6¼ 0. Hence it follows that Uλ* – η*w ! u0 ) Uλ* ! u0 ^ Uλ* 6¼ u0 ) u0 is not efficient, which contradicts with the assumption. b u0 is efficient ( for all w ! 0, w 6¼ 0, η* ¼ 0 at the optimum. Assume u0 is inefficient ) ∃u 2 P such that u ! u0 ^ u 6¼ u0. Assume uj > u0j, j 2 {1, 2, . , s + m}. Choose wj ¼ 1 ^ wi ¼ 0, i ¼ 1, 2, . , s + m, i 6¼ j ) u ¼ Uλ – η w ! u0 ^ u 6¼ u0, when η ¼ uj – u0j > 0, which contradicts with the assumption that for all w !

Download PDF sample

Download Extension of Data Envelopment Analysis with Preference by Tarja Joro, Pekka J. Korhonen PDF
Rated 4.40 of 5 – based on 37 votes