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研究生:吳奇鴻
研究生(外文):Wu, Chi-Hung
論文名稱:群體對候選人投票排序時處理相同排名的方法
論文名稱(外文):A procedure to discriminate candidates in tie of a group voting system.
指導教授:劉復華劉復華引用關係
指導教授(外文):Liu, Fuh-Hwa
學位類別:碩士
校院名稱:國立交通大學
系所名稱:工業工程與管理系所
學門:工程學門
學類:工業工程學類
論文種類:學術論文
論文出版年:2009
畢業學年度:98
語文別:中文
論文頁數:51
中文關鍵詞:資料包絡分析共同權重排序投票系統
外文關鍵詞:data envelopment analysiscommon weightsrankingvoting
相關次數:
  • 被引用被引用:1
  • 點閱點閱:310
  • 評分評分:
  • 下載下載:32
  • 收藏至我的研究室書目清單書目收藏:0
本研究之目的為分析一種普遍的投票結果。針對不可量化指標,由一群評審對若干候選人加以排序,每位評審先對候選人加以排序,彙總排序的結果,得知每位候選人在各項名次的得票次數。使用資料包絡分析法來處理投票後的資料,可求得各名次的權重,以這組權重來計算各候選人的得票加權總分,再以此總分做為排序。若有總分相同時,則為同排名。此現象在實務上造成困擾,本研究之目的乃處理同排名之問題及著重於區辨排名後該如何分配資源給該若干同排名者。以上述的排名模式為第一階段,本研究再增第二階段之處理程序,提出兩種方法來將因總分相同而排名相同的候選人加以排序。第一個是利用同排名之間總合分數最大差距(gap)的觀念;第二個是利用求取最小可將兩者總合分數區分差距,將相同排名的候選人分出高下。並且避免兩大缺點,即是 ε 設定的問題與非高效者的改變不會影響到高效者的排序。
This research is aimed to develop a procedure to analyze the voting result of a voting group. We focus on the indices that can not be quantified. Each voter of the group ranks several candidates in his/her preference order. The first phase of our procedure is employing previous developed model that determines a set of weights for the places in the order therefore the candidates could be ordered according to their aggregated scores. The model is unable to discriminate the candidates in tie with the aggregated score. In this research, we propose to append a decision process as the second phase that consists of a nonlinear mathematical programming model to discriminate candidates in tie. We propose two methods. In the first method, we maximize the gaps of aggregate scores among same ranking units; in the second method, we select the minimum gap that can distinguish same ranking units. And in order to avoid two drawbacks. The first drawback is how to establish Archimedean infinitesimal constant. The second drawback is the inefficient may change the order of efficient candidates.
摘 要 i
Abstract ii
致 謝 iii
目 錄 iv
表目錄 v
圖目錄 vi
符號表 vii
1 簡介 1
2 文獻回顧 3
2.1 DEA的介紹與回顧 3
2.2 Ranking相關文獻 8
2.3 投票相關文獻 16
3 本研究提出新的方法 21
3.1 第一個方法 21
3.2 第二個方法 28
4 案例介紹 31
4.1 供應商選擇 32
4.2 公司監事選舉 37
4.3 某地區國中區運動會排名 39
4.4 與其他排序方法比較 43
5 結論 46
參考文獻 49
附錄 50
Adler, N., Friedman, L. & Sinuany-Stern, Z., 2002. Review of ranking methods in the data envelopment analysis context. European Journal of Operational Research, pp.249-265.
Andersen, P. & Petersen, N.C., 1993. A procedure for ranking efficient units in data envelopment analysis. Management Science, pp.1261-1264.
Charnes, A., Cooper, W.W. & Rhodes, E., 1978. Measuring the efficiency of decision making units. European Journal of Operational Research, pp.429-444.
Cook, W.D. & Kress, M., 1990. A data envelopment model for aggregating preference rankings. Management Science, pp.1302-1310.
Doyle, J. & Green, R., 1994. Efficiency and cross-efficiency in DEA: Derivations, meanings and uses. Journal of the Operational Research Society, pp.567-578.
Green, R.H., Doyle, J.R. & Cook, W.D., 1996. Preference voting and project ranking using DEA and cross-evaluation. European Journal of Operational Research, pp.461-472.
Hashimoto, A., 1997. A ranked voting system using a DEA/AR exclusion model: A note. European Journal of Operational Research, pp.600-604.
Liu, F.-H.F. & Hai, H.-L., 2005. The voting analytic hierarchy process method for selecting supplier. International Journal of Production Economics, pp.308-317.
Liu, F.-H.F. & Tsai, L.-C., 2009. The voting theories with arithmetic and geometric progression. Working paper, Department of Industrial Engineering and Management, National Chiao Tung University, Hsinchu City, Taiwan.
Noguchi, H., Ogawa, M. & Ishii, H., 2002. The appropriate total ranking method using DEA for multiple categorized purposes. Journal of Computational and Applied Mathematics, pp.155-166.
Obata, T. & Ishii, H., 2003. A method for discriminating efficient candidates with ranked voting data. European Journal of Operational Research, pp.233-237.
Roll, Y., Cook, W.D. & Golany, B., 1991. Controlling factor weights in data envelopment analysis. IIE Transactions, pp.2-9.
Wang, Y.-M. & Chin, K.-S., 2007. Discriminating DEA efficient candidates by considering their least relative total scores. Journal of Computational and Applied Mathematics, pp.209-215.


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