To improve the efficiency of the estimation, depending on the failure information of web services to estimate the prior distribution of web service composition, the authors focused on solving the prior distribution and propose a method of minimum risk (MMR) to calculate hyperparameters and reduce the sample size adequately to meet a product's reliability specifications. Experiments demonstrate that the proposed method is capable of completely utilizing prior failure information during web service testing, decreasing the number of test cases, and improving testing efficiency. The remainder of this paper is organized as follows. The reliability assessment model for web service compositions based on the Bayes method is presented in Section 2.1. The assessment method for web \begin{table}
\begin{tabular}{p{113.8 pt} p{113.8 pt} p{113.8 pt}} \hline \hline
**Authors** & **Year** & **Approaches** \\ \hline [PERSON] [6] & 2009 & By considering the totality of data simultaneously, instead of performing analyses on each data type separately, for decision-making; however, it does not apply the service composition. \\ \hline [PERSON] [7] & 2009 & The authors studied an averaging method that combines the opinions of different experts. However, it does not adequately explain the deviations of different opinions and require a more complex model such as the Bayesian model \\ \hline [PERSON], [PERSON], [PERSON] [8] & 2009 & The authors compare the posterior densities of the reliability function by using several examples. \\ \hline [PERSON], [PERSON], [PERSON] [9] & 2011 & The study proposed a method of multiple prior information integration is to average all multiple priors. However, the deviations of the different opinions are not properly quantified in the averaging approach. \\ \hline [PERSON], [PERSON], [PERSON] [10] & 2006 & Linear and geometric pooling methods allow unequal weights for prior information and focus on multiple priors; however, it over depends the experts’ judgement. \\ \hline [PERSON] [11] & 1978 & The study considered system configuration and structure; the system prior can be derived from subsystem priors. \\ \hline [PERSON], [PERSON], et al. [12] & 2017 & The study proposed an integration-based method to estimate and pool the weighted priors; it utilizes [PERSON] theorem to integrate heterogeneous priors. \\ \hline [PERSON], [PERSON], [PERSON], [PERSON] and [PERSON] [13] & 2020 & A sampling-based Markov approximation (MA) approach is proposed to solve the combinatorial NP-hard problem, to overcome this issue of requires a long convergence time. \\ \hline [PERSON], [PERSON], [PERSON], and [PERSON] [14] & 2017 & For a chain of network nodes in Service Function Chains, a double-layer model is adopted, where Reliability Block Diagram describes the high-level dependencies among the architecture components, availability analysis is carried out to characterize the minimal configuration of the overall system. \\ \hline [PERSON], [PERSON], [PERSON], [PERSON] and [PERSON] [15] & 2015 & The authors proposed the DISCCA algorithm that guides the service nodes towards the Nash Equilibrium with short latency and low congestion, through decision making by individual users with local information to improve the reliability of system. \\ \hline [PERSON], [PERSON], and [PERSON] [16] & 2018 & For Service Function Chaining, propose a Universal Generating Function (UCF) approach, which minimizes deployment cost while respecting a given availability requirement. \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Different methods on the reliability assessment. service compositions and the hyperparameter solving method based on MMR are discussed in Section 2.2. The experiments and their results are discussed in Section 3. Finally, the paper is concluded in Section 4.