## 5 Results
### Experiment 4--The Output-Oriented BCC Model with Two Input and One Output Parameters  
We now build a basic output-oriented BCC model. The goal for this experiment will be to increase the supply of thermal energy to heat networks. We calculate the efficiency using the output-oriented BCC model with two input and one output parameters. This table shows that, according to this model, two enterprises are also effective: CHPPs 2 and 5, having an efficiency score of 1. They do not require setting an output score. Therefore, in the table, the output indicator (y1) remains unchanged for CHPPs 2 and 5. For all other CHPPs, the (y1) indicator changes. Table 8 shows the (y1) values required to achieve the efficiency of the CHPP data. For example, the efficiency indicator calculated using the DEA method for CHPP 1 is 0.925 with the maximum possible being 1. The output indicator (y1) is initially equal to 3635. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**CHPP** & **CRSTE** & **VRSTE** & **SE** & **Scale Type** \\ \hline
1 & 0.873 & 0.893 & 0.978 & drs \\ \hline
2 & 0.978 & 1.000 & 0.978 & drs \\ \hline
3 & 0.466 & 0.761 & 0.612 & irs \\ \hline
4 & 0.872 & 0.891 & 0.978 & drs \\ \hline
5 & 1.000 & 1.000 & 1.000 & - \\ \hline
6 & 0.442 & 0.761 & 0.581 & irs \\ \hline \hline \end{tabular}  
* CRSTE—constant return of scale technical efficiency, VRSTE—variable return of scale technical efficiency, SE—scale efficiencies, DRS—decreasing return of scale, IRS—increasing return to scale, CRSTE—technical efficiency from CRS DEA, VRSTE—technical efficiency from VRS DEA, Scale—scale efficiency = CRSTE/VRSTE.  
\end{table} 
Table 7: Comparative table of performance indicators for input-oriented CCR and BCC models with two input and one output parameters. In order to increase the efficiency of this CHPP 1 to 1, and so make the enterprise fall on the efficiency frontier built on this sample, it is necessary to increase output (y1) to 3931.163. In this case, the efficiency coefficient calculated using the DEA method will be equal to 1, and, accordingly, the enterprise will become efficient. The input (x1) indicator for the BCC model also changed from 1554 to 1472.188 as, according to the input indicator (x1), there was a slack movement equal to \(-81.813\). The input indicator (x2) remains unchanged. Table 9 presents the slack movement for the indicators of the studied sample. Table 9 shows slack movement is present for CHPPs 1, 3, and 4. The data for CHPPs 1 and 4 tend towards the indicators of CHPP 26. CHPP 3 tends towards the indicators of CHPP 27. Thus, CHPPs 1 and 4 tend to the nearest effective frontier point, which is CHPP 26 for them. CHPP 3 tends to the nearest effective frontier point, which for it is CHPP 26. Accordingly, this slack movement appears. Below we present a table comparing performance indicators for the output-oriented CCR and BCC models with two input and one output parameters. As the table shows, for this sample CHPP 5 is an effective enterprise according to the presented performance indicators: CRSTE, VRSTE, and SE. It achieves maximum efficiency in its work. CHPP 2 achieves an efficiency factor of 1 only with variable returns on scale. With a constant return on scale, the efficiency coefficient is 0.978. SE for CHPP 2 is also 0.978. In this case, we can say that the sources of inefficiency for this enterprise are caused by unfavorable conditions, and are not caused by the inefficient operation of the enterprise, since the technical efficiency for this enterprise is equal to 1. All performance indicators for the remaining CHPPs are below 1 and are also presented in Table 10. For example, CHPP 1 has the following performance indicators: CRSTE = 0.873 and VRSTE = 0.925, SE = 0.945. Analyzing these performance indicators, we can say the following: The sources of inefficiency for this enterprise are caused more by the inefficient operation of the enterprise than by unfavorable conditions. The most inefficient enterprises from the sample analyzed, as in the previous experiment, are CHPPs 3 and 6.