多种协同关系共同作用下的项目组合决策问题研究

doi:10.16381/j.cnki.issn1003-207x.2021.0646

Abstract

Abstract:

The implementation of sub-project in project portfolio cannot be independent from other projects. Similar projects often occupy the same resources and need the same information technology. To reduce cost and improve income， project executors can make these projects share public resources and impart knowledge and experience to one another. This phenomenon is called synergy between projects. In the field of project portfolio decision problem， the existing study of synergy is limited to the benefits generated in the single period， but ignores the synergy between the projects carried out in different periods.To make this gap， the mechanism of synergy is studied and further two new types of synergy between the projects executed in multiple periods are developed. On this basis， combining with the learning curve and project closeness degree， the collaborative benefits is quantified for each synergy， and the project portfolio selection model with considering of multiple synergies is constructed. In the part of case analysis studies， a group of data is randomly generated and its rationality is analyzed. Matlab / gurobi is used to solve the problem and verify the effectiveness of the model. Then， five scenarios are compared to further analyze the influence of considering synergy on portfolio decision-making. The results show that： 1） the decision-making results with considering synergy can provide more benefits for enterprise and are conducive to the long-term development of the enterprise； 2） improving the learning ability between projects and adding more projects with higher approach degree to project portfolio is an effective way to improve the synergy of the portfolio； 3） the synergy of ending of multiple projects are more sensitive to the change of project cost and benefit. The model established in this paper also provides a new research idea and method for the study of synergy in project portfolio decision-making.

Key words: project portfolio, project portfolio selection, synergy, multiple execution period

CLC Number:

C934

Zhong Shen,Xingmei Li. An Expanded Model for Project Portfolio Selection with Considering of Three Synergies[J]. Chinese Journal of Management Science, 2024, 32(8): 139-148.

Figures/Tables 10

项目 $i$	投资额 $A i$	收益额 $B i$	最小比例 $α L$	最大比例 $α H$	项目 $i$	投资额 $A i$	收益额 $B i$	最小比例 $α L$	最大比例 $α H$
1	14	20	0.1	0.9	9	15	23	0.2	0.85
2	26	40	0.15	0.85	10	20	31	0.1	0.85
3	20	29	0.1	0.9	11	8	12	0.1	0.9
4	19	29	0.15	0.85	12	7	9	0.15	0.85
5	28	41	0.2	0.85	13	19	28	0.1	0.9
6	13	20	0.1	0.7	14	25	39	0.15	0.85
7	24	35	0.25	0.9	15	26	38	0.2	0.85
8	24	36	0.1	0.9	16	9	14	0.1	0.7

阶段 $t$	1	2	3	4	5	6	7	8
投资额 $K t$	7	8	19	11	9	16	13	15

阶段

t

各阶段执行情况

2 (0.85)

10(0.85)

5 (0.8)

15(0.8)

13 (0.9)

14(0.85)

3 (0.9)

7(0.75)

5 (0.2)

13(0.1)

3 (0.1)

7(0.25)

2 (0.15)

10(0.15)

14(0.15)

15 (0.2)

基础收益

149

协同收益

36.1

总收益

185.1

阶段

t

各阶段执行情况

2 (0.85)

14(0.85)

5(0.8)

9(0.9)

10(0.85)

15 (0.8)

4(0.8)

7(0.75)

5 (0.2)

7(0.25)

2(0.15)

15(0.2)

10(0.15)

14(0.15)

4(0.15)

8 (0.1)

基础收益

152.8

协同收益

6.5

总收益

159.3

模型	基础收益	协同收益 $S 1$	协同收益 $S 2$	协同收益 $S 3$	总收益	项目组合
PPSP1	149.0	11	13.3	11.8	185.1	2,3,5,7,8,10,14,15
PPSP2	152.8	0	0	6.5	159.3	2,4,5,7,8,10,14,15
PPSP3	150.8	11.9	3	6	171.7	2,4,5,8,10,13,14,15
PPSP4	150.4	0	13.3	6.4	170.1	2,3,5,7,8,13,14,15
PPSP5	151.8	3.6	6.9	12	174.3	2,4,5,7,8,10,14,15

学习率 $c$ 取值	-0.5	-0.6	-0.7	-0.8	-0.9	-1.1	-1.2	-1.3	-1.4	-1.5
协同收益	26.64	28.8	30.81	32.7	34.45	37.5	38.96	40.31	41.58	42.76
协同收益变动比率（% ）	-26.2	-20.2	-14.63	-9.39	-4.54	3.91	7.95	11.69	15.21	18.48
贴近度 $η i j$ （%）	-50	-40	-30	-20	-10	10	20	30	40	50
协同收益	17.96	21.56	25.6	28.75	36.09	39.7	43.31	46.92	50.53	54.14
协同收益变动比率（%）	-50.2	-40.26	-30.29	-20.34	-9.98	10	20	30	40	50

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An Expanded Model for Project Portfolio Selection with Considering of Three Synergies

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