31 8 2012 8 JOURNAL OF INTELLIGENCE Vol. 31 No. 8 Aug. 2012 DEA * 以 湖 南 省 为 例 1 2 1 1 1. 430074 2. 410004 政 府 社 会 管 理 职 能 绩 效 评 估 是 政 府 社 会 管 理 与 政 府 绩 效 评 估 面 临 的 重 点 和 难 点 问 题 构 建 DEA 绩 效 评 估 模 型, 对 政 府 社 会 管 理 职 能 绩 效 进 行 实 证 评 估, 并 对 DEA 在 政 府 社 会 管 理 职 能 绩 效 评 估 中 的 应 用 方 法 和 注 意 事 项 进 行 有 益 探 讨 研 究 结 果 表 明,DEA 可 以 比 较 客 观 简 约 直 观 地 评 价 政 府 社 会 管 理 职 能 的 相 对 有 效 性, 可 以 帮 助 政 府 部 门 准 确 掌 握 社 会 管 理 职 能 绩 效 水 平,DEA 在 处 理 多 指 标 输 入 和 多 指 标 输 出 的 有 效 性 评 价 方 面 具 有 明 显 的 优 势, 特 别 适 合 政 府 社 会 管 理 职 能 这 种 复 杂 系 统 的 绩 效 评 估 和 改 进 在 运 用 DEA 时, 应 注 意 DEA 的 使 用 条 件 和 局 限 性, 可 依 据 评 估 目 的 进 行 适 当 的 改 进 和 拓 展 政 府 社 会 管 理 职 能 绩 效 评 估 数 据 包 络 分 析 决 策 单 元 C931. 2 A 1002-1965 2012 08-0204 - 04 Study on the Application of Performance Evaluation in Government Society Administration Based on DEA A Case of Hunan Province LI Chaoxian 1 2 ZENG Runxi 1 XU Xiaolin 1 1. College of Public Administration Huazhong University of Science and Technology Wuhan 430074 2. Department of Public Administration Changsha Party School of Municipal Committee of C. P. C Changsha 410004 Abstract Performance evaluation on government society administration is a vital and difficult issue in government society administration and government performance evaluation. The article empirically evaluates the performance on government society administration by Data Envelopment Analysis DEA of performance model and instructively discusses its applied methods and notes in performance evaluation on government society administration. The results show that DEA can evaluate the relative effectiveness of government society administration objectively concisely and directly which helps government to recognize the current situation of performance on government society administration accurately. Because it is evidently advantageous for DEA to evaluate the relative effectiveness of multivariate input and output it is suitable to evaluate and improve performance on complex system of government society administration. It is necessary to pay attention to the application conditions and limitations of DEA and improve and expand its application according to the purposes of evaluation. Key words government society administration performance evaluation Data Envelopment Analysis DEA Decision Making Unit DMU 0 1 2 2012-03 - 20 2012-06 - 12 12CZZ054 20110316 1973-1984 - 1956 -
8 DEA 205 3 min θ - ε( ^e T S - + e T S ) [ + ] GDP n X 4 j λ j + S - = θx 0 j = 1 n Y j λ j - S + = Y 0 j = 1 5 λ J 0 j = 1 n S - 0 S + 0 ^e = ( 1 1 ) T E m e = ( 1 1 ) T E λ j θ * λ * S * + S * - 6 a. θ * = 1S * - = 0 S * + = 0 DMU j0 DEA 7 DEA b. θ * = 1 DMU j0 DEA DEA DEA c. θ * < 1 DMU j0 DEA 1 DEA C 2 R λ j λ * j A Charnes W W Cooper DMU a. λ * j j = 1 2 n = 1 DUM Decision Making Unit b. λ * j j = 1 2 n = DMU 8 C 2 R DEA 1 DEA n DMU j j = 1 2 3 n DMU m X j = X 1j X 2j X mj S Y j = y 1j y 2j y sj ε C 2 R 2 DEA maxμ T Y 0 ω T X j - μ T Y j 0 j = 1 n ω T X 0 = 1 ω ε^e μ εe ^e = ( 1 1 ) T E m e = ( 1 1 ) T E s. X 0 Y 0 DMU j0 ε 0 θ DMU j0 S + S - < 1 DUM c. λ * j j = 1 2 n = 1 > 1 DUM 9 DEA DEA s
DEA 1 DUM X1 X2 Y1 Y2 Y3 2000 DUM1 0. 0254 41. 62 48. 02 44 38. 22 DEA 3 206 31 2 DEA 2001 DUM2 0. 0256 43. 61 48. 82 46. 49 42. 7 2002 DUM3 0. 0256 42. 46 48. 39 48. 58 41. 31 2003 DUM4 0. 0240 42. 94 49. 55 50. 04 40. 31 2004 DUM5 0. 0239 52. 05 49. 95 51. 53 40. 86 2005 DUM6 0. 0239 50. 78 51. 49 52. 11 42. 45 2006 DUM7 0. 0242 54. 93 53. 46 54. 2 44. 85 2007 DUM8 0. 0245 56. 37 55. 87 59. 47 47. 24 2008 DUM9 0. 0247 57. 58 57. 48 62. 91 50. 22 2009 DUM10 0. 0261 57. 01 60. 22 65. 29 55. 21 3. 1 X2 Y1 Y2 Y3 X2 1. 000 0. 944 ** 0. 928 ** 0. 936 ** Decision Making Epoch DME Y1 0. 944 ** 1. 000 0. 983 ** 0. 984 ** X1 Y2 0. 928 ** 0. 983 ** 1. 000 0. 983 ** 2000 2009 10 Y3 0. 936 ** 0. 984 ** 0. 983 ** 1. 000 注 : ** 表 示 在 0. 01 水 平 上 是 显 著 的 1 3. 3 C 2 R X1 λ j 3 X2 Y1 Y2 Y3 θ = 1S - 1 = S - 2 = S + 1 = S + 2 = S + 3 = 0 DMU 5 2001 2002 2003 2008 2009 DUM 50% θ = 1 0 DMU 1 2000 2009 5 DUM 1 DEA 3. 2 X1 5 DMU2000 2004 2005 2006 2007 θ < 1 5 3 2 DEA Overall Scale Pure t Slack variables DMU efficiency efficiency echnical efficiency S1 - S2 - S 1 + S 2 + S 3 + λ j RTS 2000 DUM1 0. 9998 0. 9998 1. 0000 0. 0021 0 0 4. 4956 0. 8454 0. 9693 2001 DUM2 1. 0000 1. 0000 1. 0000 0 0 0 0 0 1. 0000 2002 DUM3 1. 0000 1. 0000 1. 0000 0 0 0 0 0 1. 0000 2003 DUM4 1. 0000 1. 0000 1. 0000 0 0 0 0 0 1. 0000 2004 DUM5 0. 9069 0. 9069 1. 0000 0 0 0 2. 8106 5. 3238 0. 9187 2005 DUM6 0. 9481 0. 9481 1. 0000 0 0 0 3. 3335 4. 2037 0. 9299 2006 DUM7 0. 9524 0. 9568 0. 9954 0 0 0 4. 2835 2. 9664 0. 9579 2007 DUM8 0. 9826 0. 9826 1. 0000 0 0 0 1. 5973 2. 0639 0. 9807 2008 DUM9 1. 0000 1. 0000 1. 0000 0 0 0 0 0 1. 0000 2009 DUM10 1. 0000 1. 0000 1. 0000 0 0 0 0 0 1. 0000
4 4. 1 DEA 2004 2007 2008 2009 2000 2009 2001 2002 2003 2008 2009 5 1 5 DMU 5 2000 2004 2005 2006 2007 1 2001 2002 DMU DMU 5 DMU 0 2003 2008 2009 DMU DMU 2 2009 4 2006 DMU 5 0. 9954 1 2000 2004 2005 2006 2007 X1 X2 2000 2006 2000 DEA 2004 2005 2006 2007 4 2001 2002 2003 2008 2009 4. 2 DEA DEA 2 2001 2002 2003 2008 2009 2000 2004 2005 2007 2006 2 5 2001 2002 2003 2008 2009 2001 2002 2009 2008 2003 DEA DEA DEA DEA DEA DEA DMU DEA DEA 176
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