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19 articles for “integer number”
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Research ArticleOpen accessPhrase in the titleTwo New Formulas for Generating Infinite Sets of Integer Numbers as a Sum of Two and Three Signed Cubic NumbersRand Alfaris, Hailiza KamarulhailiProblem statement: Two new families are introduced for generating infinite sets of integers by the summation of two and three signed cubic numbers. Approach: These two families have reduced the number of representation of finite sets of integer as a sum of cubic numbers from four cubes to two and three signed cubes. Results: It is also shown that not … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 31 Dec 2010 · 7,069 accessesView PDFCite
Research ArticleOpen accessIn the keywordsAn Algorithm for Accelerated Acquirement of Minimal Representation of Super-large NumbersMohammed Al-MaitahAn algorithm for accelerated acquirement of minimal representation of super-large numbers was presented. The algorithm considers a new form of arithmetic, which was called arithmetic of q-representation of large range integers; which was based on the numbers of the generalized sequence of Fibonacci. The estimations of the complexity of the offered algorithms are presented. …Journal of Computer Science, Vol. 2, Issue 12 · 31 Dec 2006 · 7,033 accessesView PDFCite
Research ArticleOpen accessIn the abstractImproved Meta-Heuristic for Multi-Objective Integrated Procurement, Production and Distribution Problem of Supply Chain Network Under Fuzziness UncertaintiesKaoutar Douaioui, Mouhsene Fri, Charif Mabrouki, El Alami SemmaIn this study, we devoted a design under uncertainty of a supply chain network composed of multiple suppliers, multiple plants, multiple distributors and multiple customers. The proposed model is a bi- objective mixed integer linear programming which consider several constraints and optimize the total costs including the procurement, production, storage and distribution costs as well as maximize on-time deliveries. In … …Journal of Computer Science, Vol. 17, Issue 12 · 27 Dec 2021 · 6,625 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn The Diophantine Equation xa + ya = pkzbKeng Yarn Wong, Hailiza KamarulhailiIn this study, we consider the Diophantine equation xa + ya = pkzb where p is a prime number, gcd(a, b) = 1 and k,a,b∈Z+. We solve this equation parametrically by considering different cases of x and y and find that there exist infinitely many nontrivial integer solutions, where the formulated parametric solutions solve xa + ya = pkzb completely … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 11 Mar 2017 · 7,288 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Successive Admissible Cell Method for Solving Large Scale Linear Assignment Problem with Dense Cost MatrixWarut Boonphakdee, Peerayuth CharnsethikulNormally, the Linear Assignment Problem (LAP) has been solved by successful algorithms such as Lapjv and Munkres programmed as MATLAB codes. This study presented an improved algorithm for solving large scale LAP. A preprocessing (PP) algorithm was proposed to apply for constructing the kth transferred reduced cost matrix then this matrix was solved by Lapjvalgorithm. Performances of PP-Lapjvalgorithm were faster … …Journal of Computer Science, Vol. 12, Issue 8 · 16 Nov 2016 · 6,948 accessesView PDFCite
Research ArticleOpen accessIn the abstractOptimal Network Design for Efficient Energy Utilization in Wireless Sensor NetworksChutima Prommak, Sujitra ModhirunProblem statement: This research presents a study of the optimal network design for efficient energy utilization in continuous data-gathering Wireless Sensor Networks (WSNs). We first examine the problem of minimizing the network cost through the minimum number of relay-station installation. Then we further investigate the problem of minimizing the energy consumption of the sensor nodes. Approach: We model the network … …Journal of Computer Science, Vol. 8, Issue 1 · 3 Nov 2011 · 7,350 accessesView PDFCite
Research ArticleOpen accessIn the abstractSolving One-Dimensional Cutting Stock Problem with Discrete Demands and Capacitated Planning ObjectiveSirirat Wongprakornkul, Peerayuth CharnsethikulProblem statement: One-dimensional cutting stock problem with discrete demands and capacitated planning objective is an NP hard problem. Approach: The mathematical model with column-generation technique by a branch-and-bound procedure and the heuristic based on the first fit decreasing method are proposed. Then, both approaches were compared and some characteristics were investigated such as upper-bound value, percentage above lower-bound value, computation … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,947 accessesView PDFCite
Research ArticleOpen accessIn the abstractApplication of Intelligence Based Genetic Algorithm for Job Sequencing Problem on Parallel Mixed-Model Assembly LineA. Norozi, M.K.A. Ariffin, N. IsmailProblem statement: In the area of globalization the degree of competition in the market increased and many companies attempted to manufacture the products efficiently to overcome the challenges faced. Approach: Mixed model assembly line was able to provide continuous flow of material and flexibility with regard to model change. The problem under study attempted to describe the mathematical programming limitation … …American Journal of Engineering and Applied Sciences, Vol. 3, Issue 1 · 31 Mar 2010 · 9,341 accessesView PDFCite
Research ArticleOpen accessIn the abstractCalculation of Total Cost, Tolerance Based on Taguchi's, Asymmetric Quality Loss Function ApproachR. Sampath Kumar, N. Alagumurthi, R. RameshProblem statement: Current world market force the manufacturing sectors to develop high quality product and process design with minimum possible cost. About 80% of problems in production units may be attributed to 20% of design tolerance causes. While design typically represents the smallest actual cost elements in products (around 5%), it leverages the largest cost influence (around 70%). So design … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 4 · 31 Dec 2009 · 8,045 accessesView PDFCite
Research ArticleOpen accessIn the abstractA GA Based Transmission Network Expansion Planning Considering Voltage Level, Network Losses and Number of Bundle LinesS. Jalilzadeh, H. Shayeghi, M. Mahdavi, H. HadadianTransmission Network Expansion Planning (TNEP) was studied considering voltage level, network losses and number of bundle lines using decimal codification based genetic algorithm (DCGA). TNEP determines the characteristic and performance of the future electric power network and directly influences the operation of power system. Up till now, various methods have been presented for the solution of the Static Transmission Network … …American Journal of Applied Sciences, Vol. 6, Issue 5 · 31 May 2009 · 7,585 accessesView PDFCite