<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>As the basic component of the national economic construction and development, the production benefits shown by enterprises directly determine the stable operation of the national economy. In recent years, the pace of enterprise economic construction innovation, as it is affected by a variety of factors and restrictions, has been the attention of the whole society. On the basis of understanding the variational calculation of constraint forms, according to the impact of financing constraint on the production efficiency of enterprises, this paper conducts an in-depth discussion on the actual constraint effects by building the corresponding research model and proposes corresponding solutions from the perspective of the development of the new era.</p>
</abstract>

As the basic component of the national economic construction and development, the production benefits shown by enterprises directly determine the stable operation of the national economy. In recent years, the pace of enterprise economic construction innovation, as it is affected by a variety of factors and restrictions, has been the attention of the whole society. On the basis of understanding the variational calculation of constraint forms, according to the impact of financing constraint on the production efficiency of enterprises, this paper conducts an in-depth discussion on the actual constraint effects by building the corresponding research model and proposes corresponding solutions from the perspective of the development of the new era.

Constraint effect of enterprise productivity based on constrained form variational computing

LanZhou University of Finance and Economics

Department of Computer Information Systems, Faculty of Computing and Information Technology

Gansu University of Chinese Medicine, Gansu

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

As the basic component of the national economic construction and development, the production benefits shown by enterprises directly determine the stable...

Index	The specific meaning	Calculation method
Te	Productivity	DEA model operation
Fr	Financing constraints	Financing constraint = interest expense/total assets
Int1	Financing constraints and R&D expenditure interaction	Interaction term = financing constraint * R&D investment
Int2	Interaction item between financing contract and investment behaviour	Interactivity = Financing Constraints = Long-term Investment
Int3	Financing constraints and export behaviour interaction item	Interaction term = financing constraint * export delivery value
Int4	Interaction term between financing constraints and employee compensation	Interaction term = financing constraint * employee compensation
Size	The size of the business	Firm size = number of employees take logarithm
Air	Debt to asset ratio	Asset-liability ratio = total liabilities/total assets
Den	Asset intensity	Capital intensity = net fixed assets/number of employees
Sub	Government subsidies	Industrial Enterprise Database Direct Access to
Tax	Tax burden	Tax burden = tax expenditure/sales

	Index	Unit
Input indicators	Current depreciation of fixed assets	Ten thousand yuan
	Selling expenses	Ten thousand yuan
	Financial expenses	Ten thousand yuan
	Overheads	Ten thousand yuan
	Main business costs	Ten thousand yuan
	Number of employees	people
Output indicators	Total profit	Ten thousand yuan
	Main business income	Ten thousand yuan
	Gross industrial output	Ten thousand yuan

Variables	Te
Fe	−0.1791***
	(0.0294)
Size	−0.0243***
	(0.0030)
Alr	−0.0275***
	(0.0060)
Den	0.0000***
	(0.0000)
Sub	−0.0056*
	(0.0031)
Tax	−0.0080
	(0.0268)
Observations	223.198
R²	0.5278

Constraint effect of enterprise productivity based on constrained form variational computing

Published Online: Nov 22, 2021

Page range: 457 - 466

Received: Jun 06, 2021

Accepted: Sep 24, 2021

DOI: https://doi.org/10.2478/amns.2021.1.00101

Keywords
constraint form, variational calculation, financing, nonparametric frontier analysis, parameters, the weight, financing policy, credit monitoring

© 2021 Taorui Tian et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Specific indicators and measurement methods

Input–output evaluation indicators

Analysis of regression results

Constraint effect of enterprise productivity based on constrained form variational computing

Published Online: Nov 22, 2021

Page range: 457 - 466

Received: Jun 06, 2021

Accepted: Sep 24, 2021

DOI: https://doi.org/10.2478/amns.2021.1.00101

Keywordsconstraint form, variational calculation, financing, nonparametric frontier analysis, parameters, the weight, financing policy, credit monitoring

© 2021 Taorui Tian et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Specific indicators and measurement methods

Input–output evaluation indicators

Analysis of regression results

Keywords
constraint form, variational calculation, financing, nonparametric frontier analysis, parameters, the weight, financing policy, credit monitoring