Improvement time estimate of network optimization

Safa Mohamed Hadi Al Kafaji; Mushtak A. K. Shiker

doi:10.53730/ijhs.v6nS6.12437

Authors

Safa Mohamed Hadi Al Kafaji Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babil - Iraq
Mushtak A. K. Shiker
pure.mushtaq@uobabylon.edu.iq
Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babil - Iraq

Keywords:

time estimate, pessimistic time estimate, optimistic time estimate, most likely time estimate, predecessor event, successor event, critical path, critical activity

Abstract

It's known that the network is a graph that connects activities to points, as in every project the representation of activities and points varies, where the researchers previously assumed a weighted estimate of the time through a law in which they put the optimistic time estimate with the pessimistic time estimate with a weight of 1 and decided to give a greater weight to the weighted time estimate of 4, while in our current research it was proposed to improve the time estimate more likely and make it closer to reality with the achievement of the required results without any negative impact on the project, where the cost and time are reduced while the results are satisfactory, as we can give less weight to the weighted time estimate of 3 instead of 4 to estimate the potential time for distributors, while the pessimistic and optimistic time estimates remain the same with a weight of 1 for each of them.

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References

H. J. Kadhim and M. A. K. Shiker, Solving QAP with large size 10 facilities and 10 locations, Journal of Positive School Psychology, 6: 2, p. 5465 – 5471. 2022.

A.,T. Hamdy, Operation Research An Introduction, Pearson Education, Inc., Prentice hall, 9 edition, Newjersey, USA, 2011.

F. H. Abd Alsharify, G.A. Mudhar, and Z. A. H. Hassan, A modified technique to compute the minimal path sets for the reliability of the complex network, Journal of Physics: Conference Series, 1999(1) 012083, 2021.

F. H. Abd Alsharify, Z. A. H. Hassan, Computing the reliability of a complex network using two techniques, Journal of Physics: Conference Series, 1963(1) 012016, 2021.

F. L. Hitchcock, The distribution of a product from several sources to numerous localities. Journal of mathematics and physics, Vol. 20, no. 1, pp. 224- 230, 1941.

G. Abdullah and Z. A. H. Hassan, A Comparison Between Genetic Algorithm and Practical Swarm to Investigate the Reliability Allocation of Complex Network, J. Phys.: Conf. Ser. 1818 (1) 012163, 2021.

G. Abdullah and Z. A. H. Hassan, Use of Bees Colony algorithm to allocate and improve reliability of complex network, Journal of Physics: Conference Series, 1999(1) 012081, 2021.

G. Abdullah and Z. A. H. Hassan, Using of Genetic Algorithm to Evaluate Reliability Allocation and Optimization of Complex Network, I.O.P. Conf. Ser.: Mater. Sci. Eng. 928(4) 0420333, 2020.

G. Abdullah and Z. A. H. Hassan, Using of particle swarm optimization (PSO) to addressed reliability allocation of complex network, J. Phys.: Conf. Ser. 1664 (1) 012125, 2020.

H. A. Hussein and M. A. K. Shiker, A modification to Vogel’s approximation method to solve transportation problems, J. Phys.: Conf. Ser. no. 1591, 012029, 2020.

H. A. Hussein and M. A. K. Shiker, Two new effective methods to find the optimal solution for the assignment problems, Journal of Advanced Research in Dynamical and Control Systems, vol.12, no. 7, pp. 49- 54, 2020.

H. A. Hussein, M. A. K. Shiker, and M. S. M. Zabiba, A new revised efficient of V.A.M. to find the initial solution for the transportation problem, J. Phys.: Conf. Ser. no. 1591, 012032, 2020.

H. A. Mueen and M. A. K. Shiker, A New projection technique with gradient property to solve optimization problems, J. Phys.: Conf. Ser. 1963, 012111, 2021.

H. A. Mueen and M. A. K. Shiker, Using a new modification of trust region spectral (T.R.S.) approach to solve optimization problems, J. Phys.: Conf. Ser. 1963, 012090, 2021.

H. A. Wasi and M. A. K. Shiker, A modified of F.R. method to solve unconstrained optimization, J. Phys.: Conf. Ser. 1804, 012023, 2021.

H. A. Wasi and M. A. K. Shiker, A new hybrid C.G.M. for unconstrained optimization problems, J. Phys.: Conf. Ser. no. 1664, 012077, 2020.

H. A. Wasi and M. A. K. Shiker, Nonlinear conjugate gradient method with modified Armijo condition to solve unconstrained optimization, J. Phys.: Conf. Ser. 1818, 012021, 2021.

H. A. Wasi and M. A. K. Shiker, Proposed C.G. method to solve unconstrained optimization problems, J. Phys.: Conf. Ser. 1804, 012024, 2021.

H. H. Dwail and M. A. K. Shiker Using a trust region method with non monotone technique to solve an unrestricted optimization problem, J. Phys.: Conf. Ser. 1664, 012128, 2020.

H. H. Dwail and M. A. K. Shiker, Reducing the time that T.R.M. requires to solve systems of nonlinear equations, I.O.P. Conf. Ser.: Mater. Sci. Eng. 928, 042043, 2020.

H. H. Dwail and M. A. K. Shiker, Using trust region method with BFGS technique for solving nonlinear systems of equations, J. Phys.: Conf. Ser. 1818, 012022, 2021.

H. H. Dwail et al., A new modified T.R. algorithm with adaptive radius to solve a nonlinear systems of equations, J. Phys.: Conf. Ser. 1804, 012108, 2021.

H. H. Dwail, M. M. Mahdi, and M. A. K. Shiker, CG method with modifying β_k for solving unconstrained optimization problems, Journal of Interdisciplinary Mathematics, DOI: 10.1080/09720502.2022.2040854. 2022.

H. J. Kadhim, M. A. K. Shiker and H. A. Hussein, A New technique for finding the optimal solution to assignment problems with maximization objective function, J. Phys.: Conf. Ser. 1963 012104, 2021.

H. J. Kadhim, M. A. K. Shiker and H. A. Hussein, New technique for finding the maximization to transportation problems J. Phys.: Conf. Ser. 1963, 012070, 2021.

Handayani, N. D., Mantra, I. B. N., & Suwandi, I. N. (2019). Integrating collaborative learning in cyclic learning sessions to promote students’ reading comprehension and critical thinking. International Research Journal of Management, IT and Social Sciences, 6(5), 303-308. https://doi.org/10.21744/irjmis.v6n5.777

K. H. Hashim and M. A. K. Shiker, Using a new line search method with gradient direction to solve nonlinear systems of equations, J. Phys.: Conf. Ser. 1804, 012106, 2021.

K. H. Hashim et al., Solving the Nonlinear Monotone Equations by Using a New Line Search Technique, J. Phys.: Conf. Ser. 1818, 012099, 2021.

L. A. Issa, and Z. A. H. Hassan, Use of a modified Markov models for parallel reliability systems that are subject to maintenance, Journal of Physics: Conference Series, 1999(1) 012087, 2021.

L. H. Hashim et al., An application comparison of two negative binomial models on rainfall count data, J. Phys.: Conf. Ser. 1818, 012100, 2021.

L. H. Hashim et al., An application comparison of two Poisson models on zero count data, J. Phys.: Conf. Ser. 1818 012165, 2021.

M. A. K. Shiker and Z. Sahib A modified trust-region method for solving unconstrained optimization, Journal of Engineering and Applied Sciences, vol. 13, no. 22, pp. 9667– 9671, 2018.

M. M. Mahdi and M. A. K. Shiker, A New Class of Three-Term Double Projection Approach for Solving Nonlinear Monotone Equations J. Phys.: Conf. Ser. 1664, 012147, 2020.

M. M. Mahdi and M. A. K. Shiker, A new projection technique for developing a Liu-Storey method to solve nonlinear systems of monotone equations, J. Phys.: Conf. Ser. 1591, 012030, 2020.

M. M. Mahdi and M. A. K. Shiker, Solving systems of nonlinear monotone equations by using a new projection approach, J. Phys.: Conf. Ser. 1804, 012107, 2021.

M. M. Mahdi and M. A. K. Shiker, Three terms of derivative free projection technique for solving nonlinear monotone equations, J. Phys.: Conf. Ser. no. 1591, 012031, 2020.

M. M. Mahdi and M. A. K. Shiker, Three-Term of New Conjugate Gradient Projection Approach under Wolfe Condition to Solve Unconstrained Optimization Problems, Journal of Advanced Research in Dynamical and Control Systems, vol. 12, no. 7, pp. 788- 795, 2020.

M. M. Mahdi, H. H. Dwail, and M. A. K. Shiker, Hybrid spectral algorithm under a convex constrained to solve nonlinear equations, Journal of Interdisciplinary Mathematics, DOI: 10.1080/09720502.2022.2040851. 2022.

M. S. A. Sahib M S A, and M. A. K. Shiker, Employing the golden ratio to reach the BFS for T.P. International Journal of Health Sciences, 6: 2, p. 14894–14901. 2022.

N. K. Dreeb, et al., Using a New Projection Approach to Find the Optimal Solution for Nonlinear Systems of Monotone Equation, J. Phys.: Conf. Ser. 1818, 012101, 2021.

S. A. K. Abbas, Z. A. H. Hassan, Increase the Reliability of Critical Units by Using Redundant Technologies, Journal of Physics: Conference Series, 1999(1) 012107, 2021.

S. A.K. Abbas, Z. A. H. Hassan, Use of ARINC Approach method to evaluate the reliability assignment for mixed system, Journal of Physics: Conference Series, 1999(1) 012102, 2021.

Simpen, I. N., Dewi, N. P. G. B., & Aribudiman, I. N. (2018). Relationship between resistivity and soil strength based on geoelectric data: Case study at Cassa Villa Jimbaran. International Journal of Life Sciences, 2(2), 22–29. https://doi.org/10.29332/ijls.v2n2.126

Suryasa, I. W., Rodríguez-Gámez, M., & Koldoris, T. (2021). Get vaccinated when it is your turn and follow the local guidelines. International Journal of Health Sciences, 5(3), x-xv. https://doi.org/10.53730/ijhs.v5n3.2938

T.C. Koopmans, Optimum utilization of the transportation system. Econometrica: Journal of the Econometric Society, vol. 17, pp. 136-146, 1949.

Z. A. H. Hassan and E. K. Mutar, Geometry of reliability models of electrical system used inside spacecraft, 2017 Second Al-Sadiq International Conference on Multidisciplinary in I.T. and Communication Science and Applications (AIC-MITCSA), pp. 301-306. 2017.