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Availability and performance optimization of physical processing unit in sewage treatment plant using genetic algorithm and particle swarm optimization

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Abstract

Predicting the optimum availability of the physical processing unit of sewage treatment plant is defined as a Nondeterministic Polynomial time-hard problem. Recently many researchers have utilized soft computing techniques to handle this issue. However, the existing techniques are far from the optimal solutions as soft computing techniques suffer from various issues such as, poor computational speed, getting stuck in local optima, pre-mature convergence, etc. Therefore, in this work a novel mathematical model is designed and implemented using Markov process and Chapman-Kolmogorov equations derived by assuming arbitrary repair rates and exponentially distributed failure rates. Thereafter, Genetic Algorithm and Particle Swarm Optimization techniques are utilized to optimize the availability and performance of physical processing unit. The needed data has been collected with the help of plant personnel and results are also shared with them. Experimental results reveal that the Particle Swarm Optimization based proposed model outperforms the competitive techniques.

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Abbreviations

\(X,Y,Z,Z_{1} ,W,U\) :

All subsystems are working with full capacity

\(W_{1}\) :

\(W_{1}\) Is working as cold standby

\(\overline{Z}\) :

One main unit failed, and standby unit becomes operative

G:

Good state

\(x,y,z,w,w_{1} ,u\) :

Represent the failed state of the subsystems

\(k_{i\,} \left( {1 \le i \le 6} \right)\) :

Respectively failure rates in subsystems \(X,Y,Z,Z_{1} ,W,U,W_{1}\)

\(\upsilon_{i\,} (x)\left( {1 \le i \le 6} \right)\) :

Respectively repair rate in subsystems \(X,Y,Z,Z_{1} ,W,U,W_{1}\)

\(\prod_{0} (t)\) :

Probability that system is working with full capacity

\(\prod_{i} (x,t),(i = 1, \ldots ,19)\) :

Probability of subsystem on ith state at time t with repair time x

\(S_{i} ,(i = 1,2, \ldots ,19)\) :

State of the subsystem

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Authors and Affiliations

  1. Department of Mathematics & Statistics, Manipal University Jaipur, Jaipur, Rajasthan, 303007, India

    Monika Saini, Drishty Goyal & Ashish Kumar

  2. Department of Computer and Communication Engineering, Manipal University Jaipur, Jaipur, Rajasthan, 303007, India

    Deepak Sinwar & Dilbag Singh

Authors
  1. Deepak Sinwar
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  2. Monika Saini
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  3. Dilbag Singh
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  4. Drishty Goyal
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  5. Ashish Kumar
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Correspondence to Ashish Kumar.

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Sinwar, D., Saini, M., Singh, D. et al. Availability and performance optimization of physical processing unit in sewage treatment plant using genetic algorithm and particle swarm optimization. Int J Syst Assur Eng Manag 12, 1235–1246 (2021). https://doi.org/10.1007/s13198-021-01163-2

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