出版社的資源配置
摘 要
本文研究了出版社的資源配置問題,這是1個典型的整數優化模型。
首先，我們利用Excel和Matlab軟體對附件中的資訊進行選取和分析，提取了大量的有用資料，然後根據這些資料以及題目要求，提出強勢度的`概念，它是在綜合考慮滿意度及市場佔有率的基礎上獲得的。其次，我們利用所提取的資訊，將所考慮的問題建立了1個兩步分配優化模型，第1步分配時，以總社的最大經濟效益為目標，融入了強勢度的思想建立了1個整數優化模型，第2步分配時，是各個分社將各自從總社分配到的書號數合理的分配給下屬各個課程，同樣考慮的是分社的最大經濟效益。
在建模過程中，對於推斷第2年的預計銷售量時，我們提出了兩個不同的模型，第1個模型是多項式迴歸模型，第2個模型是線性迴歸模型。針對兩個不同的模型，然後得出了不同的分配結果。根據其不同的分配方案得出的結果進行比較，我們把第2個模型作為參考模型。用LINGO軟體求解，得到2006年各分社的分配方案如下：
表1 2006年各分社所分得的書號數
計算機 經管 數學 外語 兩課 機械 化學 地理 環境
書號數 55 56 120 82 72 60 15 20 20
在此基礎上，我們又建立了以各分社的經濟效益最大化為目標的優化模型，解決了各分社所屬課程的書號數分配方案，見下表：
表2 2006年各門課程所分配得到的書號數
課程 1 2 3 4 5 6 7 8 9 10 11 12
書號數 9 9 2 3 3 8 6 3 8 4 8 4
課程 13 14 15 16 17 18 19 20 21 22 23 24
書號數 4 4 8 6 4 8 6 4 6 19 35 4
課程 25 26 27 28 29 30 31 32 33 34 35 36
書號數 12 17 6 3 12 6 40 2 2 11 4 8
課程 37 38 39 40 41 42 43 44 45 46 47 48
書號數 3 4 5 3 4 10 8 10 6 8 12 14
課程 49 50 51 52 53 54 55 56 57 58 59 60
書號數 18 4 10 16 4 8 2 2 2 2 2 5
課程 61 62 63 64 65 66 67 68 69 70 71 72
書號數 4 4 4 4 2 2 4 5 4 3 2 2
我們對結果及方法進了分析，對模型的優缺點也進了評價。最後，我們結合所提取的資訊及其模型提出了幾條可行的建議。
關鍵詞:強勢度；2步分配模型；滿意度；市場佔有率
The allocation of resources for publishing house
Abstract
This article has studied the problem for the allocation of resources for publishing house. This is a typical integer optimization model. Firstly, we use Excel and the SPSS software to carry on the selection and analyse to appendix this ,we chose the massive useful data. According to these data as well as topic request, and through consider the degree of satisfaction and marketshare roundly, we proposed the concept of degree of power.. Secondly, We use the information which we have chose to establish an optimization model for two step of assigning firstly, by the biggest economic as the goal, we established an integer optimization model which melted into the degree of power. When assigning Secondly, each branch will assign the book from the main agency for the subordinate eachcurriculum respectively, We also considered the branchs maximum economic efficiency.
In the process of modelling, we established two different models. The first model is the polynomial regression model, the second model is the linear regression model. Contrapose the two different models,we compared the two models’s results, we take the first model as the reference model. We obtained various branches the assignment plan in 2006 as follows:
Table 1 various branches obtained book serial number in 2006
computer economy math english two coursees engine chemistry geography environment
bookserial 55 56 120 82 72 60 15 20 20
In this foundation, we have established the optimized model to take various brancheseconomic maximization as the goal, we obtained various course the assignment plan in 2006 as follows ,sees the next table:
Table 2 various coursees obtained book serial number in 2006
course 1 2 3 4 5 6 7 8 9 10 11 12
bookserial 9 9 2 3 3 8 6 3 8 4 8 4
course 13 14 15 16 17 18 19 20 21 22 23 24
bookserial 4 4 8 6 4 8 6 4 6 19 35 4
course 25 26 27 28 29 30 31 32 33 34 35 36
bookserial 12 17 6 3 12 6 40 2 2 11 4 8
course 37 38 39 40 41 42 43 44 45 46 47 48
bookserial 3 4 5 3 4 10 8 10 6 8 12 14
course 49 50 51 52 53 54 55 56 57 58 59 60
bookserial 18 4 10 16 4 8 2 2 2 2 2 5
course 61 62 63 64 65 66 67 68 69 70 71 72
bookserial 4 4 4 4 2 2 4 5 4 3 2 2
Finally,we analysised the result of the problem and the information which we have chose , we put forward several feasible proposals for publishing house.
Keywords: The degree of power;Two assignments models;Tegree of satisfaction；Marketshare