得分_______
学院：数学与计算机应用数学
班级：数学与应用数学（师范） 组名：统筹兼顾组长：整理 组员：发言人
邓越 20122123 张莉 20122120
文书 颜娅妮 20122121记录 王柳冰 20122122 翻译 邱唯 20122124
美工 陈瑶 20122125 副组长 毛丹妮 20122126 外裁 周文静 20122127
Using the linear model to solve the practical
problems in logistics
ABSTRACT
The method and model in operational research study has being very mature already. As the logistics has being mature gradually, Our paper discusses the relations between the two disciplines. And research how to make use of the linear programming in operational research model by actual case analysis to solve the practical problems in modern logistics enterprises.
KEYWORD
Operations Research Logistics Enterprise Practical Application Linear Programming Sensitivity Analysis
INTRODUCTION
During the second world war operations research and logistics has beginning as a formal subject. From the beginning, they are linked closely together. The typical cases of operations research applications are logistics operations or management , It can make a comprehensive reasonable arrangement through mathematical analysis and calculation according to actual requirements And making use of
manpower ,material resources, financial resources and other resources more economic and effective.
Practical application of managerial operational research is a very
meaningful topic in modern logistics enterprises. Operations research as one of the theoretical basis of logistics system, it is aimed to provide techniques and tools to implement logistics system optimization. It is specific methods that the system theory in the applications of logistics. 1. Logistics transportation, storage preservation, packaging, handling and other specific links may be involved in quantitative analysis method of operations research .
2. Operations research studies the problems in the process of logistics operation through the method of quantitative analysis. So it can be more effective and economic to arrange and make use of the
manpower ,material resources, financial resources and other logistics
resources. At the same time, it ,having more highly application value, can improve the work efficiency of the system.
Operations research methods are widely used in the logistics works. The branch has the linear programming, nonlinear programming , goal programming and so on. In the typical example of logistics enterprise application planning theory such as \materials from one location to another location, in the balance of supply and marketing at the same time, Setting flow and flow direction, to make the lowest total cost of transportation. Using the theory of
planning also can solve the vehicle scheduling materials \\path\
TEXT
Management operational research is a significant task in modern logistics company's practical applying Operation research as one of the theoretical basics of logistics subject system, its effects providing technologies and tools to realize logistics system optimization ,and it also effects the application of specific methods of system theory in logistics .Firstly ,logistical transportation ,storing and
keeping ,packing ,loading and moving ,and in each concrete links may refer to the methods of logistics' ration analyzing .Secondly ,operational research is doing a study of a problem which will arise in the process of logistics operation by ration analyzing ,this can be more reasonable. Economically to arrange and use manpower ,material
resources ,financial resources and other logistics ,meanwhile can improve system's work efficient and have higher practical values .
PROBLEM DESCRIPTION
Candy is one of the main products of a food company distribution. Below it is equipped with three processing plants, daily production of candy, respectively are: A1-7 t, A2-4 t, A3-9 t. The company put the
candy respectively for four outlets sales area, regional sales of every day respectively are: B1-3 t, B2-6 t, B3-5 t, 6 B3 - t. Known from each plant to each sales salesroom per ton rate as shown in the table, asking how the food companies should be dispatching under the condition of meet the needs of the sales department sales situation, make the total freight costs to a minimum.
unit：RMB/yuan salesroom source mill B1 3 1 7 B2 11 9 4 B3 3 2 10 B4 10 8 5 A1 A2 A3 First,three origins :A1，A2，A3. The production of 7+4+9=20t,four sales areas :B1，B2，B3，B4. the total sales for the 3+6+5+6=20t。Because the output is equal to the total sales, the problem is a production and marketing balance transportation problem.
Linear programming mathematics model is established in this paper as follows:
Set Ai(i=l，2，3) to Bj（j=1，2，3，4) shipments of Xij，Details are shown in table 2：
A1 A2 A3 daily salesB1 X11 X21 X31 3 B2 X12 X22 X32 6 3 3 3 B3 X1X2X35 B4 X14 X24 X34 6 daily output （t） 7 4 9 20 （t）
Build a model:
Min Z=3X11+11X12+3X13+10X14+X21+9X22+2X23+8X24+7X31+4X32+10X33+5X34
s.t. X11+X12+X13+X14 =7
X21+X22+X23+X24 =4 X31+X32+X33+X34 =9 X11+ X21+ X31 =3 X12+X22+X32 =6 X13+ X23+ X33=5 X14 + X24+ X34 =6
(Xij≥0，i=l，2，3；j= 1，2，3，4)
Enter the following command in the LINGO：
The output is as follows：
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