# American Institute of Mathematical Sciences

August & September  2019, 12(4&5): 929-940. doi: 10.3934/dcdss.2019062

## A nonlinear empirical analysis on influence factor of circulation efficiency

 1 College of Business Administration, Ningbo Dahongying University, No.899 Xueyuan Road, Haishu District, Ningbo 315175, Zhejiang, China 2 Department of Economic and Trade, Sejong University, 209, Neungdong-ro, Gwangjin-gu, Seoul 05006, Republic of Korea 3 School of Business Administration, Jiangxi University of Finance and Economics, No.168 Shuang Gang East Street, Nanchang 330013, Jiangxi, China

* Corresponding author: 18511513@qq.com

Received  June 2017 Revised  December 2017 Published  November 2018

A series of phenomena including lower circulation efficiency of Chinese fresh agricultural products, postharvest decay, damage and waste of agricultural products, regional and structural contradiction of supply and demand, drastic fluctuation in price and difficulty in buying and selling, etc. are serious, which has restricted the sound development of Chinese fresh agricultural product industry. To analyze and discuss main factors affecting circulation efficiency of Gannan navel orange, the methods, such as AHP (analytic hierarchy process) and Delphic method, etc., have been used for empirical analysis on Gannan navel orange, and it is found that fruit factors (including single structure and centralized mature period of navel orange, etc), infrastructure factors (including the lack standardization for construction of trading place, outdated warehousing facility and technology, insufficient input of infrastructure of cold chain, etc) and policy environment factors (including food safety, absence of relevant laws and regulations of market supervision, etc) are the existing main factors restricting high-efficient circulation of Gannan navel orange. Based on the conclusion of empirical research and beginning with main circulation links of production, storage and transportation as well as marketing, etc and supporting measures of brand building, product safety and policy service system, etc, the countermeasures and suggestions are proposed to improve circulation efficiency of Gannan navel orange.

Citation: Wu Chanti, Qiu Youzhen. A nonlinear empirical analysis on influence factor of circulation efficiency. Discrete & Continuous Dynamical Systems - S, 2019, 12 (4&5) : 929-940. doi: 10.3934/dcdss.2019062
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##### References:
Hierarch Structure Model for Evaluation on Level of Influence Factor of Circulation Efficiency of Gannan Navel Orange
Index System for Influence Factor of Circulation Efficiency of Gannan Navel Orange
 Class-1 index Class-2 index Evaluation on Level of Influence Factor of Circulation Efficiency of Gannan Navel Orange Fruit factor C$_{1}$ Fruit seasonality c$_{\mathbf{11}}$ Fruit storability c$_{12}$ Demand for initial processing of fresh fruit c$_{13}$ Consumption preference c$_{14}$ Quality level of participant C$_{2}$ Scale of participant c$_{21}$ Capability of getting information c$_{22}$ Logistics professionalization quality level c$_{23}$ Mutual cooperation level c$_{24}$ Infrastructure construction of logistics C$_{3}$ Traffic transportation facility construction c$_{31}$ Trading place construction c$_{32}$ Warehousing facility construction c$_{33}$ Information spreading network construction c$_{34}$ Infrastructure construction of cold chain c$_{\mathbf{35}}$ Market environment C$_{4}$ Degree of market opening c$_{41}$ Degree of fair transaction c$_{42}$ Degree of market activity c$_{\mathbf{43}}$ Policy environment C$_{5}$ Agricultural industry investment policy c$_{51}$ Charge policy for agricultural products circulation c$_{52}$ Food safety policy c$_{\mathbf{53}}$
 Class-1 index Class-2 index Evaluation on Level of Influence Factor of Circulation Efficiency of Gannan Navel Orange Fruit factor C$_{1}$ Fruit seasonality c$_{\mathbf{11}}$ Fruit storability c$_{12}$ Demand for initial processing of fresh fruit c$_{13}$ Consumption preference c$_{14}$ Quality level of participant C$_{2}$ Scale of participant c$_{21}$ Capability of getting information c$_{22}$ Logistics professionalization quality level c$_{23}$ Mutual cooperation level c$_{24}$ Infrastructure construction of logistics C$_{3}$ Traffic transportation facility construction c$_{31}$ Trading place construction c$_{32}$ Warehousing facility construction c$_{33}$ Information spreading network construction c$_{34}$ Infrastructure construction of cold chain c$_{\mathbf{35}}$ Market environment C$_{4}$ Degree of market opening c$_{41}$ Degree of fair transaction c$_{42}$ Degree of market activity c$_{\mathbf{43}}$ Policy environment C$_{5}$ Agricultural industry investment policy c$_{51}$ Charge policy for agricultural products circulation c$_{52}$ Food safety policy c$_{\mathbf{53}}$
1-9 Scale Method and Definition
 Scale $x_{i}, x_{j}$ pairwise comparison standard 1 X$_{i}$ and X$_{j}$ is equal in importance 3 X$_{i }$is weakly important than X$_{j}$ 5 X$_{i }$is obviously important than X$_{j}$ 7 X$_{i}$ is strongly important than X$_{j}$ 9 X$_{i }$is extremely important than X$_{j}$ 2, 4, 6, 8 Mid-value of the above two adjacent judgments $a_{ji} =1/a_{ij}$ Reciprocal $a_{ij}$ is the comparison judgment between factor i and j, and the comparison judgment between factor i and j that $a_{ji} =1/a_{ij}$.
 Scale $x_{i}, x_{j}$ pairwise comparison standard 1 X$_{i}$ and X$_{j}$ is equal in importance 3 X$_{i }$is weakly important than X$_{j}$ 5 X$_{i }$is obviously important than X$_{j}$ 7 X$_{i}$ is strongly important than X$_{j}$ 9 X$_{i }$is extremely important than X$_{j}$ 2, 4, 6, 8 Mid-value of the above two adjacent judgments $a_{ji} =1/a_{ij}$ Reciprocal $a_{ij}$ is the comparison judgment between factor i and j, and the comparison judgment between factor i and j that $a_{ji} =1/a_{ij}$.
Value of Average Random Consistency Index (0$^{th}$ and 10$^{th}$ order)
 n 1 2 3 4 5 6 7 8 9 10 $RI$ 0 0 0.58 0.9 1.12 1.24 1.32 1.41 1.45 1.49
 n 1 2 3 4 5 6 7 8 9 10 $RI$ 0 0 0.58 0.9 1.12 1.24 1.32 1.41 1.45 1.49
Results of Random Consistency Check
 A A$_{\mathbf{1}}$ A$_{\mathbf{2}}$ A$_{\mathbf{3}}$ A$_{\mathbf{4}}$ A$_{\mathbf{5}}$ $CI$ value 0.0013 0.0546 0.0103 0.0083 0.0429 0.0368 $RI$ value 1.12 0.90 0.90 1.12 0.58 0.58 CR value 0.0012 0.0607 0.0115 0.0074 0.0739 0.0634
 A A$_{\mathbf{1}}$ A$_{\mathbf{2}}$ A$_{\mathbf{3}}$ A$_{\mathbf{4}}$ A$_{\mathbf{5}}$ $CI$ value 0.0013 0.0546 0.0103 0.0083 0.0429 0.0368 $RI$ value 1.12 0.90 0.90 1.12 0.58 0.58 CR value 0.0012 0.0607 0.0115 0.0074 0.0739 0.0634
Summary of Data of Index System for Influence Factor of Circulation Efficiency of Gannan Navel Orange
 The first hierarchy The second hierarchy Class distribution Index Weight No. Index Weight No. Very good Good Common Poor Very poor Fruit factor A$_{1}$ Fruit seasonality a$_{11}$ 0.2599 0.00 0.00 0.17 0.47 0.37 Fruit storability a$_{12}$ 0.4502 0.03 0.07 0.40 0.33 0.17 Demand for initial processing of fresh fruit a$_{13}$ 0.1838 0.00 0.17 0.73 0.10 0.00 Consumption preference a$_{14}$ 0.1061 0.10 0.33 0.53 0.03 0.00 Quality level of participant A$_{2}$ Scale of participant a$_{21}$ 0.2776 0.00 0.27 0.50 0.17 0.07 Capability of getting information a$_{22}$ 0.1603 0.07 0.17 0.27 0.33 0.17 Logistics professionalization quality level a$_{23}$ 0.4668 0.03 0.23 0.23 0.33 0.17 Mutual cooperation level a$_{24}$ 0.0953 0.07 0.17 0.43 0.23 0.10 Infrastr ucture construction of logistics A$_{3}$ Traffic transportation facility construction a$_{31}$ 0.2154 0.10 0.33 0.27 0.20 0.10 Trading place construction a$_{32}$ 0.0735 0.00 0.13 0.30 0.43 0.13 Warehousing facility construction a$_{33}$ 0.1208 0.03 0.10 0.27 0.40 0.20 Information spreading network construction a$_{34}$ 0.3749 0.17 0.23 0.40 0.13 0.07 Infrastructure construction of cold chain a$_{35}$ 0.2154 0.00 0.00 0.23 0.50 0.27 Market environ ment A$_{4}$ Degree of market opening a$_{41}$ 0.2255 0.27 0.47 0.20 0.07 0.00 Degree of fair transaction a$_{42}$ 0.1007 0.23 0.53 0.20 0.03 0.00 Degree of market activity a$_{43}$ 0.6738 0.03 0.13 0.43 0.30 0.10 Policy enviro nment A$_{5}$ Agricultural industry investment policy a$_{51}$ 0.6144 0.13 0.40 0.33 0.10 0.03 Charge policy for agricultural products circulation a$_{52}$ 0.1172 0.10 0.23 0.40 0.20 0.07 Food safety policy a$_{53}$ 0.2684 0.00 0.10 0.30 0.40 0.20 Data source: calculation based on data of survey
 The first hierarchy The second hierarchy Class distribution Index Weight No. Index Weight No. Very good Good Common Poor Very poor Fruit factor A$_{1}$ Fruit seasonality a$_{11}$ 0.2599 0.00 0.00 0.17 0.47 0.37 Fruit storability a$_{12}$ 0.4502 0.03 0.07 0.40 0.33 0.17 Demand for initial processing of fresh fruit a$_{13}$ 0.1838 0.00 0.17 0.73 0.10 0.00 Consumption preference a$_{14}$ 0.1061 0.10 0.33 0.53 0.03 0.00 Quality level of participant A$_{2}$ Scale of participant a$_{21}$ 0.2776 0.00 0.27 0.50 0.17 0.07 Capability of getting information a$_{22}$ 0.1603 0.07 0.17 0.27 0.33 0.17 Logistics professionalization quality level a$_{23}$ 0.4668 0.03 0.23 0.23 0.33 0.17 Mutual cooperation level a$_{24}$ 0.0953 0.07 0.17 0.43 0.23 0.10 Infrastr ucture construction of logistics A$_{3}$ Traffic transportation facility construction a$_{31}$ 0.2154 0.10 0.33 0.27 0.20 0.10 Trading place construction a$_{32}$ 0.0735 0.00 0.13 0.30 0.43 0.13 Warehousing facility construction a$_{33}$ 0.1208 0.03 0.10 0.27 0.40 0.20 Information spreading network construction a$_{34}$ 0.3749 0.17 0.23 0.40 0.13 0.07 Infrastructure construction of cold chain a$_{35}$ 0.2154 0.00 0.00 0.23 0.50 0.27 Market environ ment A$_{4}$ Degree of market opening a$_{41}$ 0.2255 0.27 0.47 0.20 0.07 0.00 Degree of fair transaction a$_{42}$ 0.1007 0.23 0.53 0.20 0.03 0.00 Degree of market activity a$_{43}$ 0.6738 0.03 0.13 0.43 0.30 0.10 Policy enviro nment A$_{5}$ Agricultural industry investment policy a$_{51}$ 0.6144 0.13 0.40 0.33 0.10 0.03 Charge policy for agricultural products circulation a$_{52}$ 0.1172 0.10 0.23 0.40 0.20 0.07 Food safety policy a$_{53}$ 0.2684 0.00 0.10 0.30 0.40 0.20 Data source: calculation based on data of survey
Results for Evaluation on Level of Efficiency Influence Factor of Circulation Pattern of Gannan Navel Orange
 Factor set Very good Good Common Poor Very poor Good and over Common and over A 0.0727 0.1971 0.3439 0.4631 0.1270 0.2698 0.6137 A$_{1}$ 0.0256 0.0960 0.4148 0.2933 0.1703 0.1216 0.5364 A$_{2}$ 0.0326 0.2255 0.3318 0.2775 0.1326 0.2581 0.5899 A$_{3}$ 0.0881 0.1812 0.3119 0.2809 0.1379 0.2692 0.5811 A$_{4}$ 0.1061 0.2488 0.3572 0.2205 0.0674 0.3549 0.7121 A$_{5}$ 0.0936 0.2999 0.3322 0.1922 0.0820 0.3936 0.7258
 Factor set Very good Good Common Poor Very poor Good and over Common and over A 0.0727 0.1971 0.3439 0.4631 0.1270 0.2698 0.6137 A$_{1}$ 0.0256 0.0960 0.4148 0.2933 0.1703 0.1216 0.5364 A$_{2}$ 0.0326 0.2255 0.3318 0.2775 0.1326 0.2581 0.5899 A$_{3}$ 0.0881 0.1812 0.3119 0.2809 0.1379 0.2692 0.5811 A$_{4}$ 0.1061 0.2488 0.3572 0.2205 0.0674 0.3549 0.7121 A$_{5}$ 0.0936 0.2999 0.3322 0.1922 0.0820 0.3936 0.7258
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