Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services -...

20
Shuffled Complex Evolution Combined With Stochastic Ranking for Reservoir Scheduling An Academic presentation by Dr. Nancy Agens, Head, Technical Operations, Phdassistance Group www.phdassistance.com Email: [email protected]

description

The present article helps the USA, the UK, Europe and the Australian students pursuing their computer Science postgraduate degree to identify the right topic in the area of computer science specifically on Shuffled Complex Evolution, Stochastic Ranking, Reservoir Scheduling, and Optimization Method. These topics are researched in-depth at the University of Spain, Cornell University, University of Modena and Reggio Emilia, Modena, Italy, and many more. PhD Assistance offers UK Dissertation Research Topics Services in Computer Science Engineering Domain. When you Order Computer Science Dissertation Services at PhD Assistance, we promise you the following – Plagiarism free, Always on Time, outstanding customer support, written to Standard, Unlimited Revisions support and High-quality Subject Matter Experts. To Learn More :https://bit.ly/38Mvd1p Contact Us: UK NO: +44-1143520021 India No: +91-8754446690 Email: [email protected] Website Visit : https://www.phdassistance.com/ https://www.phdassistance.com/uk/ https://phdassistance.com/academy/ https://research.phdassistance.com/

Transcript of Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services -...

Page 1: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

Shuffled ComplexEvolution Combined WithStochastic Ranking forReservoir Scheduling

An Academic presentation byDr. Nancy Agens, Head, Technical Operations, PhdassistanceGroup  www.phdassistance.comEmail: [email protected]

Page 2: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

Outline

TODAY'SDISCUSSION

In Brief

Introduction

Shuffled complex evolution (SCE)

SCE-SR

Shuffled Complex Evolution - Stochastic

Ranking Algorithm

SR – Stochastic Ranking

SCE-SR Algorithm

Two Main Characteristics of SCE-SR

Four Vital Parameters of SCE

Criteria for SCE-SR

Conclusion

Future Scope

Page 3: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

In BriefYou will find the best dissertation research areas / topics for future researchers enrolled in

 Engineering and technology.In order to identify the future research topics, we have reviewed the Engineering literature(recent peer-reviewed studies) on Shuffled Complex Evolution and Stochastic Ranking for

Reservoir Scheduling Nature-Inspired Optimization Algorithm is the recent trend in Cloud technology.

Shuffled Complex Evolution Algorithm is one of Nature-Inspired Optimization Algorithm.Shuffled Complex Evolution Algorithm is used for Reservoir Scheduling and Stochastic

Ranking.

Page 4: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

Water is one of the most valuable resources and humans have built dams to optimize theuse of this precious resource.

Dams are a life-sustaining resource for people throughout the world.

These dams have internally water storage spaces called reservoirs, and the operationpriorities of these reservoirs are based on a sequence of rules to recognize the amount ofwater stored and released according to system constraints.

The process of prioritizing the reservoir operation is known as "reservoir scheduling" andwe use various machine learning methods or algorithms for reservoir scheduling.

Introduction

Page 5: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

SHUFFLEDCOMPLEXEVOLUTION(SCE)

Shuffled complex evolution (SCE) is a method, whereits general purpose is global optimization.

The SCE algorithm is capable of finding optimumglobally and it does not rely on the availability of anexplicit expression for the objective function or thederivatives.

Another method “stochastic ranking (SR)” is capableof balancing objectives and penalty functions and ishighly competitive compared to other methods.

The application of a "Shuffled Complex Evolution-Stochastic Ranking (SCE-SR)" therefore provides aneffective solution to the above mentioned problems.

Page 6: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

SCE combines the strengths of the simplex methodand the complex algorithm of competitive evolutionand SR is free from complicated parameter tuning,The SCE-SR takes advantage of both.

SCE-SR makes SCE suitable for constrainedreservoir scheduling problems and may achieveglobal convergence properties.

The SCE-SR method is an efficient and effectivemethod to optimize hydropower generation andquickly identify feasible areas, with adequate globalconvergence properties and robustness.

SCE-SR

Page 7: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

Shuffled ComplexEvolution -StochasticRanking Algorithm

SCE Algorithm

Points (candidate solutions),

Population (the community containing all points),

Complex (the community containing several points Partitionedfrom the sample),

Complex shuffling (points in complexes reassigned and mixedto generate a new community).

One of the main components of SCE is the CCE algorithm,which can be described briefly as follows:

SCE algorithm uses the concept of complex shuffling to solve thenon- linear optimization problem. The method involves the following terminologies:

Contd..

Page 8: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

Construction of a sub-complex (containing q points) according to the trapezoidal probabilitydistribution.

Ranking: identification of the worst point u of the sub-complex and computation of the centroidg of the q−1 points without including the worst one.

Reflection: reflection of point u through the centroid to generate a new point r and calculationof its objective function value fr. If the newly generated point r is within the feasible space andfr>fu, where fu is the objective function value of point u, u is replaced with r, and the processmoves to step (6). Otherwise, it goes to step (4).

Contd..

Page 9: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

Contraction: determination of a point c halfway between the centroid and the worst point, andthen calculation of fc. If point c is within the feasible space and fc>fu, u is replaced with thecontraction point c and the process goes to step (6). Otherwise, it goes to step (5).

Mutation: random generation of a point z within the feasible space and replacement of theworst point with z.

Steps (2) through (5) are repeated α time, where α≥1 is the number of consecutive offspringgenerated by each sub-complex.

Steps (1) through (6) are repeated β times, where β≥1 is the number of evolution steps takenby each complex before complexes are shuffled.

Page 10: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

Figure 1 Flow Chart ofSCE-SR Algorithm

Page 11: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

SR – StochasticRanking

The SR is capable of balancing objective and penaltyfunctions and improving the search performance.

The main idea is to compare two adjacent individualsaccording to the objective function values or the degree ofconstraint violations by introducing a predeterminedparameter Pf.

An increase in the number of ranking sweeps (N) iseffectively equivalent to changing parameter .

Contd..

Page 12: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

Thus, the number of ranking sweeps is fixed to N = s (number of points in samplepopulation generated by SCE), and is adjusted within [0, 1] to achieve the bestperformance.

The comparison mechanism of two adjacent individuals can be briefly describedas follows: if both individuals are feasible, or a randomly generated number w∈[0,1] is less than Pf, they are compared according to the objective functionvalues; otherwise, they are compared based on the degree of constraintviolations.

Ranking of the whole sample population is then achieved through a bubble-likeprocedure.

Page 13: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

SCE-SRAlgorithm

Thus, the number of ranking sweeps is fixed to N = s (number ofpoints in sample population generated by SCE), and is adjustedwithin [0, 1] to achieve the best performance.

The comparison mechanism of two adjacent individuals can bebriefly described as follows: if both individuals are feasible, or arandomly generated number w∈[0,1] is less than Pf, they arecompared according to the objective function values; otherwise,they are compared based on the degree of constraint violations.

Ranking of the whole sample population is then achievedthrough a bubble-like procedure.

Page 14: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

Two MainCharacteristics

of SCE-SR

The combination of the deterministic approach andcompetitive evolution.

This is conducive to directing the search in an improvingdirection and improving global convergence efficiency bymaking use of information carried by both feasible andnon-feasible individuals.

The combination of the probabilistic approach andcomplex shuffling. This guarantees the survivability ofindividuals and the flexibility and robustness of thealgorithm.

Page 15: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

Four VitalParametersof SCE

The number of points in a complex, m=2n+1, where n is thedimension of the decision vector,

The number of points in a sub-complex, q=n+1,

The number of consecutive offspring generated by each sub-complex, α=1,

The number of iterations taken by each complex, β=m.

Page 16: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

Criteria forSCE-SR

For SR, the required range of the parameter is 0.4<Pf<0.5, and for this method itis set to 0.45. The SCE-SR method is terminated whenever one of the followingconvergence criteria is satisfied: (1) The objective function value is not significantly improved after j times ofiterations. Its expression is as follows:

Contd..

Page 17: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

(2) The interval of variables is small enough. Its expression is as follows:

(3) The cumulative number of objective function calls (NOFC) reaches the predetermined value.

Page 18: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

Shuffled Complex Evolution - Stochastic Ranking Algorithm (SCE-SR)optimization method can solve the complex constrained reservoirscheduling problems.

When the result of SCE-SR is compared with the traditional methodsagainst hydropower scheduling problem in both single and multi-reservoir system with different inflow scenarios and population sizes.

SCE-SR can converge the global optima in a consistent, efficient andfast way with both objectives and constraints considered.

This SCE-SR method will pave the way for the application ofunconstrained algorithm in this field as this is an effective, efficient andreliable optimization method for solving reservoir scheduling problems.

Conclusion

Page 19: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

It is used in photovoltaic (PV) Model forparameter extraction problem (Chen et al., 2019).

The research on carbon fiber-epoxide compositepyrolysis from hydrogen tank(Liu et al., 2019).

It is used in Solar cell models parameter extraction(Gao et al., 2018).

Future Scope

Page 20: Shuffled Complex Evolution combined with Stochastic PhD Dissertation Writing Services - Phdassistance.com

CONTACT US

+44-1143520021UNITED KINGDOM

+91-4448137070

EMAIL

INDIA

[email protected]