Table of Content

25 April 2018, Volume 27 Issue 4

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Theory Analysis and Methodology Study

Buyer’s Participation in the Two-sided Platform withNetwork Externality and Differentiation

WANG Xian-jia, YU Zi-he

2018, 27(4):  1-9.  DOI: 10.12005/orms.2018.0077

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The main body of the two-sided platform is the platform itself and the users. The existence of the platform is based on the participation of the users. So the distribution of the users is the interest of the two-sided market. In the competitive two-sided market, this paper establishes a two-stage two-sided platform competition model. The paper uses the Rubinstein bargaining model to describe the differences between the sellers and decide the quotient of sellers in the first stage. The paper is divided into the profit maximization and social welfare maximization of the two cases in the second stage. We describe the size of the buyers on the platform preferences, and seek equilibrium. Through this model, the influence of network external coefficient on platform equilibrium market share and market stakeholders’ benefit is analyzed under competitive platform. The study shows that the number of buyers is involved by the size of the network and the network externalities. The scale of the platform is not case that the bigger the better. In considering the social welfare maximization, the buyer’s participation is not affected by network externality coefficient of buyers. But the total social welfare is positively related to it.

A Further Discussion on the Existence of Interval Core

GUAN Fei, LI Jun

2018, 27(4):  10-14.  DOI: 10.12005/orms.2018.0078

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Interval cooperative game is a kind of model focusing on how to allocate the profits reasonably when the profits of any coalition are interval numbers. For the past years, the existence and reasonableness of its solutions have aroused widespread concern. Interval core is a stable set-valued solution concept in interval cooperative game. Thus in this paper, we firstly have a further discussion on the existence of interval core by introducing some concepts such as: strongly unbalanced, minimal strongly balanced, size monotonic and so on. Then on the condition that the interval profit value of any coalition is not fully used to allocate, a generalized interval cooperative game and its solution concepts, such as generalized interval imputation, generalized interval core are proposed, a theorem to discuss the existence of generalized interval core is developed. The conclusions in this paper will promote the development of interval cooperative games and lay a sound base for solving the profit allocation problems under interval uncertainties.

Competitive Analysis of Freemium Strategy of Duopoly SoftwareFirms Based on Hotelling Model

WANG Hai-ping, LIU Shu-lin, LIN Jun

2018, 27(4):  15-21.  DOI: 10.12005/orms.2018.0079

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The experiential characteristic and network effect of software make firms often provide consumers free basic products to build large installed base, and make profits from premium products or services. Existing freemium related research is more confined to the monopoly situation, and seldom analyzes the competitive interaction between firms. Considering the network effect of software and consumers’ heterogeneous preferences for products, we build a Hotelling model to examine the equilibrium freemium strategies of duopoly firms, and possible influencing factors. The results show that: if the network effect of the software is relatively strong, both firms adopt freemium strategy; if weak, neither firms adopts; otherwise, there exist two possible equilibria, “neither adopts” or “both adopt”, but in fact both firms can gain more profit in the former equilibrium. Furthermore, as consumers become more sensitive to the horizontal differentiation between firms, or consumers’ requirement of the quality of the free version increases, firms have less incentive to adopt freemium strategy, and the region of “neither adopts” expands, while the region of “both adopt” shrinks.#

Technological Innovation Project Termination Decision Basedon Fuzzy Structured Element

GUO Qian, ZHANG Jing, WU Gang, FU Zhuo

2018, 27(4):  22-28.  DOI: 10.12005/orms.2018.0080

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This paper introduces fuzzy mathematical theory based on structured element to technological innovation project evaluation and decision-making. On the basis of the reference points given by the decision maker, structured elements are used to represent fuzzy information and the gains-losses values are calculated. Furthermore, considering the psychological behavioral factors of decision makers, cumulative prospect theory is utilized to obtain fuzzy cumulative prospect value of each attribute with regard to different risk profile. With an integration method, the comprehensive cumulative prospect value of every project represented by structured element is acquired. On this basis, fuzzy ranking is carried out to rank and select projects with a proper weight function. Finally, an application example of the proposed method is provided to demonstrate its feasibility and effectiveness.

Intuitionistic Trapezoidal Fuzzy Linguistic Frank Operator andIts Application in Decision Making

ZHAI Yu-bing, HOU Fu-jun, DU Yu-qin,YU qian

2018, 27(4):  29-34.  DOI: 10.12005/orms.2018.0081

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Based on the set of intuitionistic trapezoidal fuzzy linguistic, this paper introduces the Frank operator and proposes a new set of operators-intuitionistic trapezoidal fuzzy linguistic Frank assembly operators, and applies it to multi-attribute decision-making. Firstly, we give the concept of the formula, the corresponding operation rules, the scoring function, the exact function and the size comparison method of the Frank operator in the intuitionistic trapezoidal fuzzy linguistic environment. Then we propose the intuitionistic trapezoidal fuzzy linguistic Frank weighted arithmetic(ITrFLFWA)operator, intuitionistic trapezoidal fuzzy linguistic Frank weighted geometric(ITrFLFWG)operator, intuitionistic trapezoidal fuzzy linguistic generalized Frank weighted average(ITrFLGFWA)operator, etc., and prove its properties such as idempotency, boundedness, monotonicity. Finally, the decision-making method of the based and integrated operator is given, and the decision of the investment bank is given, which proves the validity of the method we propose. This method can be widely used in various combinations of investment decisions, risk decisions, supplier selection, and so on.

Approximation Algorithm for the Facility Location Problem withSoft Capacities and Stochastic Demands

WANG Xing, XU Da-chuan

2018, 27(4):  35-38.  DOI: 10.12005/orms. 2018. 0082

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In this paper, we consider the facility location problem with soft capacities and stochastic demands. In this problem, given the facility set and client set, each client has a stochastic demand, and each facility has a capacity but can be open more than once. The opening cost of each facility is fixed, and the connection cost between each client and facility is also given. The objective is to open some facilities and connect each client to an open facility whose capacity can not be exceeded such that the total cost is minimized. For the facility location problem with soft capacities and stochastic demands, we design an approximation algorithm. First, we construct the corresponding uncapacitated facility location problem with stochastic demands for each capacity case. Second, We solve the uncapacitated facility location problem with stochastic demands and obtain a feasible solution. Third, we construct a feasible solution to the original problem. Finally, we analyze the running time of the algorithm. We prove that the approximation factor for the algorithm is 6.

Scheduling Optimization in Outpatient Department Considering Patient’s Return Visit

REN Zong-wei, GUO Hai-ni

2018, 27(4):  39-49.  DOI: 10.12005/orms.2018.0083

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At present, a most prominent problem in tertiary hospitals in China is the scarcity of resources including operating room, large-scale inspection equipment and outpatient departments, etc.. It cause a serious queuing issue in hospital which can result in patients’ waiting for a long time and reducing their satisfaction. In this paper, we do a research about a large hospital in Harbin and collect a lot of relevant data, and our study is the scheduling optimization in outpatient department considering patient’s return visit (patient’s return visit means the patient does other examinations and then returns to initial outpatient departments). The queuing rules are defined by dynamic priority in queuing theory and the value function in the foreground theory. The main goal is to minimize the patient’s time perception discontent and the secondary goal is to minimize the hospital operating costs. And we analyze the influence on overall satisfaction given by the change of the two targets’ weight parameters. We set up corresponding mathematical models and design the plant growth simulation algorithm(PGSA)and then make the simulation by MATLAB. The result proves that reasonable physician outpatient department configuration can effectively reduce patient dissatisfaction and hospital operating costs.

Fuzzy Dynamic Non-linear Multiple Objective Model for SupplierSelection with Supply Chain Visibility and Risk

CHEN Hao-dong, WANG Zhi-ping

2018, 27(4):  50-56.  DOI: 10.12005/orms.2018.0084

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Based on fuzzy in nature on supply chain visibility (SCV) and supply chain risk (SCR) and dynamic on supplier selection problem, and considering SCV and SCR for fuzzy parameters, this paper discusses how to come up with a satisfying proposal on dynamic supplier selection and how to minimize SCR and total cost,maximize SCV. And then a fuzzy dynamic non-linear multi-objective model for supplier selection with supply chain visibility and risk is proposed,and to our knowledge, this model is the first effort to consider supplier selection, order allocation, SCR and SCV, simultaneously. In order to defuzzify and solve this fuzzy model, a fuzzy approach of risk and visibility evaluation is proposed. Finally a numerical example is illustrated to show that the proposed model is feasible and effective, and the analysis of this model provides the theory basis for the vendor selection.

Carbon Reduction Optimization and Coordination of Supply Chain underCarbon Reduction Subsidy and Carbon Tax

CAO Xi-yu, ZHANG Jie-fang

2018, 27(4):  57-61.  DOI: 10.12005/orms.2018.0085

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The carbon tax policies and government subsidies for manufacturers of carbon emission reduction technology innovation investment are considered, a supply chain game model is established, and the contract forms and parameters are given according to coordination condition. By solving the model of supply chain, the optimal carbon reduction emissions and the optimal order quantity are given under the carbon tax and carbon subsidy. The numerical results show that the impacts of the optimal order quantity, the optimal carbon reduction quantity and the profit of the supply chain under government subsidy are tremendous, and they are a positive relationship. Carbon tax and carbon reduction subsidy proportion are an inverse relationship when the other parameters are fixed and carbon reduction quantity is a certain circumstance. The conclusion can provide scientific decision basis for the government subsidy policy to reduce emissions and carbon reduction optimization of supply chain.

Study on the Coordination of Supply Chain Based on Carbon EmissionsTrading Considering the Manufacturers′Competition

WANG Dao-ping, LI Xiao-yan, ZHAO Liang

2018, 27(4):  62-71.  DOI: 10.12005/orms.2018.0086

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This paper studies the coordination of supply chain in the context of carbon emissions trading mechanism considering the competition between manufacturers. Centralized and decentralized supply chain models are constructed to discuss the prices of products and the reduction rate of emission and to avoid the losses of profit from the decentralized decision making, The Shapley-value algorithm is introduced to coordinate the supply chain, and the mechanism of contract coordination is given. Finally,a numerical example is given to illustrate the validity of the Shapley-value algorithm, and a sensitivity analysis of parameters such as the price of the emissions trading and the price sensitivity of consumers is presented. The research shows that coordination is achieved by introducing the Shapley-value algorithm. Carbon emissions trading reduces emissions effectively, but the higher price of carbon emissions trading cuts down the total profit of supply chain. With the increase of the consumers′ price sensitivity, the profits of normal manufacturer, low-carbon manufacturer, and the retailer and supply chain are on the decline.

The Cash-in-transit Routing Optimization Problem with Multi-type Risks

XU Guo-xun, LI Yan-feng, LI Jun, YANG fang

2018, 27(4):  72-82.  DOI: 10.12005/orms.2018.0087

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Based on cash logistics industry, this paper introduces a routing optimization problem with multi-type risks. The problem is formulated as a mixed integer linear programming problem to balance transportation cost, transit risk and risk of cash in hand. A hybrid genetic algorithm adopted in this paper is a hybrid meta-heuristic combining the exploration capabilities of GA with efficient local search based improvement heuristics and diversity management mechanism. This method consists of a GA method to determine routing decision and a greedy method to determine the risk decision. The numerical studies are adopted to analyze problem characteristics and the method performance. The results show that the hybrid genetic algorithm can solve much larger problems, produce high quality solutions and strike a satisfying balance between the computing time and the solution quality.Multi-type risks link with the vehicle routing. Customer expect demand links with risk of cash in hand.

A New Flow Model for Solving the Quadratic Assignment Problem

ZOU Hui-min, XIA Yong

2018, 27(4):  83-87.  DOI: 10.12005/orms.2018.0088

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The quadratic assignment problem(QAP)is one of the classical combinatorial optimization problems with many applications in various fields. In this paper, a new flow model for QAP is proposed based on combining the recent studies on various QAP linearizations. The limited numerical results show that the new flow model outperforms a few linearizations for QAP.

Lagrangian Multiplier Method with a New Class of NCP Function

WANG Guan-lin, SHANG You-lin, PU Ding-guo

2018, 27(4):  88-92.  DOI: 10.12005/orms.2018.0089

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There exists an optimization problem in management,engineering design,scientific research,and other aspects of military command generally. But in the actual situation most of these issues are summarized in the nonlinear programming problem. As carry equality and inequality constraints complicated cases, theoptimization problem solving has always been more complicated, and difficult.Under appropriate conditions, NCP Function can be combined with constrained optimization problem, NCP function of unconstrained minimization solution corresponds to the solution of the original constrained problem and its corresponding multiplier. In this paper, a new class of NCP function is proposed for the minimization conditions,We prove 1-1 corresponding relationship of optimality solution between the primal constrained problem and the new unconstrained problem.Meanwhile, Lagrangian multiplier method corresponding with new augmented Lagrangian function is proposed.And this method is implementable and convergent.

Application Research

Research and Development of Internet Public Opinion

SONG Quan-xi, XUN Qi-feng, NING Wei-na

2018, 27(4):  93-104.  DOI: 10.12005/orms.2018.0090

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Internet public opinions spread quickly and widely, and they are full of unexpectedness, uncertainty, and difficulty to control. These characteristics have posed great challenges to the concerned authority for police-involved interventions and guidance related to internet public opinions. Currently there is plenty of research on the guidance, control mechanisms and coping strategies about internet public opinions. However, when internet public opinion crisis evolution and intervention are concerned, the existing research is mostly qualitative and the quantitative approach is relatively lacking. Moreover, current research on internet public opinions is mostly limited to a certain stage of the public opinions development and fails to adopt a whole life-cycle perspective by looking at the multi-stage development of internet public opinions. When the few studies employing a multi-stage approach are further reviewed, they are cursory at most, ungrounded in any scientific, formal decision-making intervention mechanisms. Therefore, it is claimed that combining the multi-stage approach and the quantitative methodology is one of the directions for future research on decision-making intervention mechanisms related to internet public opinions. This article intends to describe the development of internet public opinions, state the condition and action expression in a quantitative manner, and eventually construct a classified multi-stage decision-making modelling framework.

Route Optimization Model of Military Orienteering and ItsSolution to a Hybrid Ant Colony Algorithm

WANG Shu-qin, HUANG Qian

2018, 27(4):  105-111.  DOI: 10.12005/orms.2018.0091

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Considering the conditions of the multi-point, scattered distribution, high required score, strict time constraints in the military orienteering, in order to find a path of high score in time and a good standard for the training results, a mixed integer programming model is established, and a hybrid ant colony algorithm(HACA) is proposed based on the deep analysis of route optimization in military orienteering. In the algorithm, the initial solution is gotten by the improved ant colony algorithm(IACA), and the solution is optimized further by selection, crossover and mutation. The feasibility and superiority of the hybrid ant colony algorithm are verified by simulations and the comparison of the algorithm.

Dynamic Pricing of Parallel Flights Basedon Passenger Inertia Behavior

HU Yu-sheng, LI Jin-lin, RAN Lun, CHEN Ya-hong

2018, 27(4):  112-117.  DOI: 10.12005/orms.2018.0092

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On the same line, airline provides different flights with different departure time, which are named as parallel flights. Starting with the multiple parallel flights on the same line, based on the passenger inertia depth and breadth, dynamic programming method is used to study the impact of the passenger inertia behavior on the optimal price. The numerical experiment shows that the passenger inertia behavior affects the optimal price negatively. In other words, the optimal price of every flight is decreasing in the passenger inertia depth and the passenger inertia breadth.

Dynamic Pricing Strategy for Airline Tickets throughDemand Learning with Strategic Passengers

LI Hao, PENG Qing, TAN Mei-rong

2018, 27(4):  118-125.  DOI: 10.12005/orms.2018.0093

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This paper researches the dynamic pricing strategy for airline tickets through demand learning to maximize its revenue. We introduce a dynamic pricing model by Bayes theory and game theory where there are strategic passengers and demand uncertainty of the passengers arrival rate, and discuss the sufficient condition of the optimal price strategy. We also analyze corresponding properties of revenue function and gain the variation tendency of the price with the time and the sold number in demand learning environment. Finally, we present numerical experiments to analyze the effectiveness of demand learning, and find that demand learning can ease the loss of revenue for airline in demand uncertainty market, but can not be completely eliminated; The higher degree of the passengers’strategy, the more obvious the effectiveness is.

Recommendation Method for Consumer Electronic Products under Fuzzy Environment

TAN Chun-qiao, HU Li-mei

2018, 27(4):  126-137.  DOI: 10.12005/orms.2018.0094

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A new recommendation method is put forward for consumer electronic products. Firstly, considering that there exists information sharing when experts evaluate the alternative products, the intuitionistic trapezoidal fuzzy Shapley weighted geometric operator is proposed to process the interactive characteristics between experts, and its properties are also investigated. Secondly, as information about experts’ weights is incompletely known, a programming model is established to solve the experts’ shapley weight values. Furthermore, the proposed operator is used to integrate the experts’ opinions to obtain the comprehensive score of each alternative product under each criterion. On the basis of similarity degree, a product with the largest projection value can be recommended to customers. Finally, a typical case of buying laptop on Dell China website is provided to further illustrate the feasibility and practicability of the recommending method.

Big Users’ Electricity Purchasing Strategy Based onHyperbolic Spectrum Risk Measure

LU Hao, LING Yin-hua

2018, 27(4):  138-143.  DOI: 10.12005/orms.2018.0095

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Although a direct power purchase mode has become more popular, the big users and grid companies have different risk preferences. Considering risk preference for the strategy, this paper establishes the optimization model of electricity purchasing based on the hyperbolic spectral risk measure, and the PJM market data has been used in the empirical analysis. According to the range of the risk aversion factor, the big users could be divided into three types, that is, active, prudent and conservative. We discuss their electricity purchasing strategy.and the results are as follows: the big users are always willing to take greater risks in order to obtain high yield regardless of the risk preference; risk appetite is one of the important factors affecting electricity purchasing strategy; when risk appetite is established, power purchase ratio in the forward contract and day-ahead market can be determined by spectral risk value. With the increase of value at risk of spectrum, the big users will reduce the purchasing power of the forward contract market, and tend to buy more in the electricity market.

Research on Divisible Project Portfolio Selection Model Considering Multiple Factors

LI Xing-mei, WANG Ya-xian, ZHAO Qiu-hong, ZHANG You-zhong

2018, 27(4):  144-152.  DOI: 10.12005/orms.2018.##

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Based on the existing research on divisible project portfolio selection problem, in this paper we take interdependency, divisibility and resource constraints into account, with the objective of maximizing the net present value of the selected project portfolio, and the divisible project portfolio selection model considering multiple factors is built for the first time. Meanwhile, according to whether consider divisibility, interdependency and resource constraints, three project portfolio selection models are constructed. All the models are solved by GAMS＼BARON, and the results show: 1)resource constraints are the key factors in the project portfolio selection problem with divisibility to determine the success or failure of the project portfolio selection; 2)unlike the research of the past, project divisibility can increase the income of the enterprise under the resource constraints; 3)when the interdependency among the projects is considered, reasonable project portfolio selection can make the enterprise get, when collaborative benefits outweigh the loss of competition.

Volatility Research and Forecast on CSI 300 Index Futures byUsing the ARMA-GARCH-SN Model

WANG Shu-sheng, WANG Jun-bo, XU Tong-tong, YU Zheng

2018, 27(4):  153-161.  DOI: 10.12005/orms.2018.0097

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By using the high frequency data(two deals per second) of five trading days in CSI 300 index futures, this paper mainly studies the intraday volatility characteristics of the CSI 300 stock index futures and forecasts the intraday volatility. The results show that the intraday yield of high frequency stock index futures has obvious volatility aggregation and AutoRegressive Conditional Heteroscedasticity(ARCH)effect, but there is no peak and fat-tailed phenomenon. The distribution of the return series accords with a skewed normal distribution. So the optimal ARMA-GARCH-SN model is established, and the adequacy of the model fit is verified. The fitting results show that ARMA(1,2)-GARCH(1,1)-SN can well describe the characteristics of ultrahigh frequency intraday volatility of CSI 300 index futures, the impact on the conditional variance has a strong persistence, and long memory effect is found in the intraday volatility. Finally, two steps of the return rate and the volatility are predicted by the bootstrap method. We also use the rolling regression forecasting method to do the in-sample prediction. The prediction results show that the volatility prediction can reflect the intraday volatility characteristics of the stock index futures commendably.

Research on Total Factor Productivity Evolution and Its Driving Factors onChina’s Listed Commercial Bank within Non-performing Loan Constraints:Based on the Model of Malmquist-luenberger and Tobit

HE Ping, YANG Zao-li, LIU Xian-qiu, CHEN wei

2018, 27(4):  162-172.  DOI: 10.12005/orms.2018.0098

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Based on the panel data of stock-listed commercial bank in time-series of 2007~2013 from China, we build the input and output index system within non-performing loan constraints, use the model of malmquist-luenberger based on undesirable output to measure the total factor productivity(TFP) and its inter-temporal dynamically of stock-listed commercial bank in China, and analyze the driving factors of TFP on stock-listed bank from China on the basis of Tobit algorithm. The results show that the average growth rate of stock-listed commercial bank’s TFP in China is 2.4%, the TFP of the listed city commercial bank is higher than the joint-stock commercial bank,and the TFP of the joint-stock commercial bank is higher than nationalized bank. The reason is the growth of the scale efficiency. Furthermore, bank scale and loan-to-deposit ratio have a significant positive driving impact on technical efficiency of commercial bank, but banking concentration rate has an obvious negative driving impact on technical efficiency. The assets earning rate and ownership structure have no driving effect on technical efficiency.

Outliers Recognition and the Dimensionless Method in Comprehensive Evaluation

LI Wei-wei, YI Ping-tao, LI Ling-yu

2018, 27(4):  173-178.  DOI: 10.12005/orms.2018.0099

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In face of the outliers in comprehensive evaluation, this paper analyses three questions: are there outliers in original data if there are outliers, how to recognize them And how to design dimensionless method for all data included in outliers For the judgment and recognition of outliers, we take “median” as a reference. Based on this, the outliers can be identified by comparing the distance of the former endpoint to the median and that of the later endpoint to the median. To the dimensionless question, based on the frequently-used linear scale transformation (max-min) method, we provide a piecewise dimensionless method by allocating dimensionless value interval to outliers and non-outliers respectively. At last, the validity of this research is illustrated by the comparison with the results of available literature. And it is found the methods in this paper can not only recognize outliers moderately, but also promote the proportionality of dimensionless results.

Management Science

Analysis of the “Company+Farmer” Leasing Mode Basedon the Principal-agent Theory

YU Jian-jun, ZHENG Xiao-huan, HUANG Xiao-yong, ZHU Qiang-qiang

2018, 27(4):  179-185.  DOI: 10.12005/orms.2018.0100

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In view of the default problems between company and farmers, this paper builds the “company+farmer” leasing model based on the principal-agent theory, which is made up of the risk averse company and farmers. Setting strategy of the incentive coefficient and rent of the model is analyzed under the condition of asymmetric information. The impact of parameter change on the incentive coefficient and rent is discussed through the numerical simulation. The research results show that the higher the sharing ratio of the company to the farmers, the higher the level of farmers’ production effort. Meanwhile, the lower the rent paid by the company to the farmers in the early stage, the higher the sharing ratio to the farmers latter. In addition, the incentive coefficient increases with the increase of the company’s risk aversion coefficient and the farmers' production capacity, and decreases with the increase of the farmers’ risk aversion coefficient and the exogenous uncertain factors. The rent increases with the farmers’ risk aversion coefficient and production capacity, and decreases with company’s the risk aversion coefficient and exogenous uncertain factors. Moreover, there exist optimal market prices that make the rent lowest.

Research on the Development of Multinational Companies LeadingIndustrial Agglomeration Based on the ECM Model

AO Zhong-yang, LIU Min

2018, 27(4):  186-190.  DOI: 10.12005/orms.2018.0102

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This paper discusses the fact of multinational corporations’ investment, technology and industrial agglomeration degree in Suzhou industrial park as the research object, and analyzes the mechanism and degree of multinational corporations impacting on industrial agglomeration. It is found that the investment and technology of multinational corporations in Suzhou industrial park will intensify the manufacturing industry agglomeration, but they will have their influence in two years. The short-term influence is stronger than the long-term influence. The influence of multinational companies on industrial agglomeration is driven by investment changing to the technical transformation gradually.

The Selection of Government Subsidy Strategy under theIndustry-university-research Cooperative Innovation Mode

MA Yong-hong, NA Qi

2018, 27(4):  191-199.  DOI: 10.12005/orms.2018.0103

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The subsidy strategy is a common policy that governments encourage enterprise innovation. Concerning the inherent absorptive capacity and external government subsidy strategy, this paper, by establishing a three-stage game model, uses the analytical solution and simulation analysis method to explore the influence of absorptive capacity and innovation distribution input coefficient on the government subsidy strategy, based on industry-university-research cooperative innovation. The results show that: no matter what kind of government subsidy, it can motivate enterprises to enlarge innovation investment scale. The enterprise absorptive capacity, R&D input, output and social welfare show a positive correlation, but absorptive capacity’s impact on profits and government subsidies are limited to subsidies mode and the enterprise innovation distribution coefficient. Under the innovative products subsidy, the influence of innovation difficulty coefficient on government subsidy is not obvious, in contrast, innovative products subsidy is superior to innovation input subsidies.