1、最新建筑外文文献及翻译资料外文原文Study on Human Resource Allocation in Multi-Project Based on the Priority and the Cost of ProjectsLin Jingjing , Zhou GuohuaSchoolofEconomics and management, Southwest Jiao tong University ,610031 ,China Abstract-This paper put forward the affecting factors of projects priority. whi
2、ch is introduced into a multi-objective optimization model for human resource allocation in multi-project environment . The objectives of the model were the minimum cost loss due to the delay of the time limit of the projects and the minimum delay of the project with the highest priority .Then a Gen
3、etic Algorithm to solve the model was introduced. Finally, a numerical example was used to testify the feasibility of the model and the algorithm. Index TermsGenetic Algorithm, Human Resource Allocation, Multi-projects projects priority .1. INTRODUCTIONMore and more enterprises are facing the challe
4、nge of multi-project management, which has been the focus among researches on project management. In multi-project environment ,the share are competition of resources such as capital , time and human resources often occur .Therefore , its critical to schedule projects in order to satisfy the differe
5、nt resource demands and to shorten the projects duration time with resources constrained ,as in 1.For many enterprises ,the human resources are the most precious asset .So enterprises should reasonably and effectively allocate each resource , especially the human resource ,in order to shorten the ti
6、me and cost of projects and to increase the benefits .Some literatures have discussed the resource allocation problem in multi-project environment with resources constrained. Reference 1 designed an iterative algorithm and proposed a mathematical model of the resource-constrained multi-project sched
7、uling .Based on work breakdown structure (WBS) and Dantzig-Wolfe decomposition method ,a feasible multi-project planning method was illustrated , as in 2 . References 3,4 discussed the resource-constrained project scheduling based on Branch Delimitation method .Reference 5 put forward the framework
8、of human resource allocation in multi-project in Long-term ,medium-term and short-term as well as research and development(R&D) environment .Based on GPSS language, simulation model of resources allocation was built to get the projects duration time and resources distribution, as in 6. Reference 7 s
9、olved the engineering projects resources optimization problem using Genetic Algorithms. These literatures reasonably optimized resources allocation in multi-project, but all had the same prerequisite that the projects importance is the same to each other .This paper will analyze the effects of proje
10、cts priority on human resource allocation ,which is to be introduced into a mathematical model ;finally ,a Genetic Algorithm is used to solve the model. 2. EFFECTS OF PROJECTS PRIORITY ON HUMAN RESOUCE ALLOCATION AND THE AFFECTING FACTORS OF PROJECTS PRIORITYResource sharing is one of the main chara
11、cteristics of multi-project management .The allocation of shared resources relates to the efficiency and rationality of the use of resources .When resource conflict occurs ,the resource demand of the project with highest priority should be satisfied first. Only after that, can the projects with lowe
12、r priority be considered.Based on the idea of project classification management ,this paper classifies the affecting factors of projects priority into three categories ,as the projects benefits ,the complexity of project management and technology , and the strategic influence on the enterprises futu
13、re development . The priority weight of the project is the function of the above three categories, as shown in (1). W=f(I,c,s) (1)Where w refers to projects priority weight; I refers to the benefits of the project; c refers to the complexity of the project, including the technology and management; s
14、 refers to the influence of the project on enterprise .The bigger the values of the three categories, the higher the priority is.3. HUMAN RESOURCE ALLOCATION MODEL IN MULTI-PROJECT ENVIRONMENT3.1 Problem DescriptionAccording to the constraint theory, the enterprise should strictly differentiate the
15、bottleneck resources and the non-bottleneck resources to solve the constraint problem of bottleneck resources .This paper will stress on the limited critical human resources being allocated to multi-project with definite duration times and priority.To simplify the problem, we suppose that that three
16、 exist several parallel projects and a shared resources storehouse, and the enterprises operation only involves one kind of critical human resources. The supply of the critical human resource is limited, which cannot be obtained by hiring or any other ways during a certain period .when resource conf
17、lict among parallel projects occurs, we may allocate the human resource to multi-project according to projects priorities .The allocation of non-critical independent human resources is not considered in this paper, which supposes that the independent resources that each project needs can be satisfie
18、d.Engineering projects usually need massive critical skilled human resources in some critical chain ,which cannot be substituted by the other kind of human resources .When the critical chains of projects at the same time during some period, there occur resource conflict and competition .The paper al
19、so supposes that the corresponding network planning of various projects have already been established ,and the peaks of each projects resources demand have been optimized .The delay of the critical chain will affect the whole projects duration time . 3.2 Model Hypotheses The following hypotheses hel
20、p us to establish a mathematical model:(1) The number of mutually independent projects involved in resource allocation problem in multi-project is N. Each project is indicated with Qi ,while i=1,2, N.(2) The priority weights of multi-project have been determined ,which are respectively w1,w2wn .(3)
21、The total number of the critical human resources is R ,with rk standing for each person ,while k=1,2, ,R(4) ki= (5) Resources capturing by several projects begins on time. tEi is the expected duration time of project I that needs the critical resources to finish some task after time t ,on the premis
22、e that the human resources demand can be satisfied .tAi is the real duration time of project I that needs the critical resource to finish some task after time t .(6) According to the contract ,if the delay of the project happens the daily cost loss due to the delay is ci for project I .According to
23、the projects importance ,the delay of a project will not only cause the cost loss ,but will also damage the prestige and status of the enterprise .(while the latent cost is difficult to quantify ,it isnt considered in this article temporarily.)(7) From the hypothesis (5) ,we can know that after time
24、 t ,the time-gap between the real and expected duration time of project I that needs the critical resources to finish some task is ti ,( ti =tAi-tEi ). For there exists resources competition, the time gap is necessarily a positive number.(8) According to hypotheses (6) and (7), the total cost loss o
25、f project I is Ci (Ci = ti* Ci ). (9) The duration time of activities can be expressed by the workload of activities divided by the quantity of resources ,which can be indicated with following expression of tAi =i / Ri* ,.In the expression , i refers to the workload of projects I during some period
26、,which is supposed to be fixed and pre-determined by the project managers on project planning phase ; Ri* refers to the number of the critical human resources being allocated to projects I actually, with the equation Ri* = existing. Due to the resource competition the resource demands of projects wi
27、th higher Priorities may be guarantee, while those projects with lower priorities may not be fully guaranteed. In this situation, the decrease of the resource supply will lead to the increase of the duration time of activities and the project, while the workload is fixed.3.3 Optimization Model Based
28、 on the above hypotheses, the resource allocation model in multi-project environment can be established .Here, the optimization model is :Fi=min Zi = min =min (2) =min =min Z2=min=min (3) Where wj=max(wi) ,() (4)Subject to : 0=R (5)The model is a multi-objective one .The two objective functions are
29、respectively to minimize the total cost loss ,which is to conform to the economic target ,and to shorten the time delay of the project with highest priority .The first objective function can only optimize the apparent economic cost ;therefore the second objective function will help to make up this l
30、imitation .For the project with highest priority ,time delay will damage not only the economic benefits ,but also the strategy and the prestige of the enterprise .Therefore we should guarantee that the most important project be finished on time or ahead of schedule . 4. SOLUTION TO THE MULTI-OBJECTI
31、VE MODEL USING GENETIC ALGORITHM4.1 The multi-objective optimization problem is quite common .Generally ,each objective should be optimized in order to get the comprehensive objective optimized .Therefore the weight of each sub-objective should be considered .Reference 8 proposed an improved ant col
32、ony algorithm to solve this problem .Supposed that the weights of the two optimizing objectives are and ,where +=1 .Then the comprehensive goal is F* ,where F*=F1+F2.4.2 The Principle of Genetic Algorithm Genetic Algorithm roots from the concepts of natural selection and genetics .Its a random search technique for global optimization in a complex search space .Because of the parallel nature and less restrictions ,it has the key features of great currency ,fast convergence and easy calculation .Meanwhile ,its searc
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