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Book
Advances and Novel Approaches in Discrete Optimization
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Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

Discrete optimization is an important area of Applied Mathematics with a broad spectrum of applications in many fields. This book results from a Special Issue in the journal Mathematics entitled ‘Advances and Novel Approaches in Discrete Optimization’. It contains 17 articles covering a broad spectrum of subjects which have been selected from 43 submitted papers after a thorough refereeing process. Among other topics, it includes seven articles dealing with scheduling problems, e.g., online scheduling, batching, dual and inverse scheduling problems, or uncertain scheduling problems. Other subjects are graphs and applications, evacuation planning, the max-cut problem, capacitated lot-sizing, and packing algorithms.

Keywords

Research & information: general --- Mathematics & science --- forgotten index --- balaban index --- reclassified the zagreb indices --- ABC4 index --- GA5 index --- HDN3(m) --- THDN3(m) --- RHDN3(m) --- degree of vertex --- extended adjacency index --- scheduling with rejection --- machine non-availability --- operator non-availability --- dynamic programming --- FPTAS --- Transportation --- batching scheduling --- total weighted completion time --- unary NP-hard --- approximation algorithm --- bi-criteria scheduling --- online algorithm --- makespan --- maximum machine cost --- competitive ratio --- network optimization --- dynamic flow --- evacuation planning --- contraflow configuration --- partial lane reversals, algorithms and complexity --- logistic supports --- scheduling algorithm --- release-time --- due-date --- divisible numbers --- lateness --- bin packing --- time complexity --- batch scheduling --- linear deterioration --- job families --- Max-cut problem --- combinatorial optimization --- deep learning --- pointer network --- supervised learning --- reinforcement learning --- capacitated lot sizing --- mixed integer formulation --- retail --- inventory --- shortages --- graph --- join product --- crossing number --- cyclic permutation --- arithmetic mean --- combinatorial generation --- method --- algorithm --- AND/OR tree --- Euler-Catalan's triangle --- labeled Dyck path --- ranking algorithm --- unranking algorithm --- Harris hawks optimizer --- load frequency control --- sensitivity analysis --- smart grid --- particle swarm optimization --- genetic algorithm --- meta-heuristics --- packing --- irregular 3D objects --- quasi-phi-function s --- nonlinear optimization --- single-machine scheduling --- minimization of maximum penalty --- dual problem --- inverse problem --- branch and bound --- LNS --- numerical conversion --- RISC --- FPGA --- embedded systems --- scheduling --- job-shop --- makespan criterion --- uncertain processing times --- forgotten index --- balaban index --- reclassified the zagreb indices --- ABC4 index --- GA5 index --- HDN3(m) --- THDN3(m) --- RHDN3(m) --- degree of vertex --- extended adjacency index --- scheduling with rejection --- machine non-availability --- operator non-availability --- dynamic programming --- FPTAS --- Transportation --- batching scheduling --- total weighted completion time --- unary NP-hard --- approximation algorithm --- bi-criteria scheduling --- online algorithm --- makespan --- maximum machine cost --- competitive ratio --- network optimization --- dynamic flow --- evacuation planning --- contraflow configuration --- partial lane reversals, algorithms and complexity --- logistic supports --- scheduling algorithm --- release-time --- due-date --- divisible numbers --- lateness --- bin packing --- time complexity --- batch scheduling --- linear deterioration --- job families --- Max-cut problem --- combinatorial optimization --- deep learning --- pointer network --- supervised learning --- reinforcement learning --- capacitated lot sizing --- mixed integer formulation --- retail --- inventory --- shortages --- graph --- join product --- crossing number --- cyclic permutation --- arithmetic mean --- combinatorial generation --- method --- algorithm --- AND/OR tree --- Euler-Catalan's triangle --- labeled Dyck path --- ranking algorithm --- unranking algorithm --- Harris hawks optimizer --- load frequency control --- sensitivity analysis --- smart grid --- particle swarm optimization --- genetic algorithm --- meta-heuristics --- packing --- irregular 3D objects --- quasi-phi-function s --- nonlinear optimization --- single-machine scheduling --- minimization of maximum penalty --- dual problem --- inverse problem --- branch and bound --- LNS --- numerical conversion --- RISC --- FPGA --- embedded systems --- scheduling --- job-shop --- makespan criterion --- uncertain processing times


Book
Advances and Novel Approaches in Discrete Optimization
Author:
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

Discrete optimization is an important area of Applied Mathematics with a broad spectrum of applications in many fields. This book results from a Special Issue in the journal Mathematics entitled ‘Advances and Novel Approaches in Discrete Optimization’. It contains 17 articles covering a broad spectrum of subjects which have been selected from 43 submitted papers after a thorough refereeing process. Among other topics, it includes seven articles dealing with scheduling problems, e.g., online scheduling, batching, dual and inverse scheduling problems, or uncertain scheduling problems. Other subjects are graphs and applications, evacuation planning, the max-cut problem, capacitated lot-sizing, and packing algorithms.

Keywords

Research & information: general --- Mathematics & science --- forgotten index --- balaban index --- reclassified the zagreb indices --- ABC4 index --- GA5 index --- HDN3(m) --- THDN3(m) --- RHDN3(m) --- degree of vertex --- extended adjacency index --- scheduling with rejection --- machine non-availability --- operator non-availability --- dynamic programming --- FPTAS --- Transportation --- batching scheduling --- total weighted completion time --- unary NP-hard --- approximation algorithm --- bi-criteria scheduling --- online algorithm --- makespan --- maximum machine cost --- competitive ratio --- network optimization --- dynamic flow --- evacuation planning --- contraflow configuration --- partial lane reversals, algorithms and complexity --- logistic supports --- scheduling algorithm --- release-time --- due-date --- divisible numbers --- lateness --- bin packing --- time complexity --- batch scheduling --- linear deterioration --- job families --- Max-cut problem --- combinatorial optimization --- deep learning --- pointer network --- supervised learning --- reinforcement learning --- capacitated lot sizing --- mixed integer formulation --- retail --- inventory --- shortages --- graph --- join product --- crossing number --- cyclic permutation --- arithmetic mean --- combinatorial generation --- method --- algorithm --- AND/OR tree --- Euler–Catalan’s triangle --- labeled Dyck path --- ranking algorithm --- unranking algorithm --- Harris hawks optimizer --- load frequency control --- sensitivity analysis --- smart grid --- particle swarm optimization --- genetic algorithm --- meta-heuristics --- packing --- irregular 3D objects --- quasi-phi-function s --- nonlinear optimization --- single-machine scheduling --- minimization of maximum penalty --- dual problem --- inverse problem --- branch and bound --- LNS --- numerical conversion --- RISC --- FPGA --- embedded systems --- scheduling --- job-shop --- makespan criterion --- uncertain processing times --- n/a --- Euler-Catalan's triangle


Book
Advances and Novel Approaches in Discrete Optimization
Author:
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

Loading...
Export citation

Choose an application

Bookmark

Abstract

Discrete optimization is an important area of Applied Mathematics with a broad spectrum of applications in many fields. This book results from a Special Issue in the journal Mathematics entitled ‘Advances and Novel Approaches in Discrete Optimization’. It contains 17 articles covering a broad spectrum of subjects which have been selected from 43 submitted papers after a thorough refereeing process. Among other topics, it includes seven articles dealing with scheduling problems, e.g., online scheduling, batching, dual and inverse scheduling problems, or uncertain scheduling problems. Other subjects are graphs and applications, evacuation planning, the max-cut problem, capacitated lot-sizing, and packing algorithms.

Keywords

forgotten index --- balaban index --- reclassified the zagreb indices --- ABC4 index --- GA5 index --- HDN3(m) --- THDN3(m) --- RHDN3(m) --- degree of vertex --- extended adjacency index --- scheduling with rejection --- machine non-availability --- operator non-availability --- dynamic programming --- FPTAS --- Transportation --- batching scheduling --- total weighted completion time --- unary NP-hard --- approximation algorithm --- bi-criteria scheduling --- online algorithm --- makespan --- maximum machine cost --- competitive ratio --- network optimization --- dynamic flow --- evacuation planning --- contraflow configuration --- partial lane reversals, algorithms and complexity --- logistic supports --- scheduling algorithm --- release-time --- due-date --- divisible numbers --- lateness --- bin packing --- time complexity --- batch scheduling --- linear deterioration --- job families --- Max-cut problem --- combinatorial optimization --- deep learning --- pointer network --- supervised learning --- reinforcement learning --- capacitated lot sizing --- mixed integer formulation --- retail --- inventory --- shortages --- graph --- join product --- crossing number --- cyclic permutation --- arithmetic mean --- combinatorial generation --- method --- algorithm --- AND/OR tree --- Euler–Catalan’s triangle --- labeled Dyck path --- ranking algorithm --- unranking algorithm --- Harris hawks optimizer --- load frequency control --- sensitivity analysis --- smart grid --- particle swarm optimization --- genetic algorithm --- meta-heuristics --- packing --- irregular 3D objects --- quasi-phi-function s --- nonlinear optimization --- single-machine scheduling --- minimization of maximum penalty --- dual problem --- inverse problem --- branch and bound --- LNS --- numerical conversion --- RISC --- FPGA --- embedded systems --- scheduling --- job-shop --- makespan criterion --- uncertain processing times --- n/a --- Euler-Catalan's triangle


Book
The fascinating world of graph theory
Authors: --- ---
ISBN: 0691175632 1400852005 9781322519487 132251948X 9781400852000 9780691163819 0691163812 9780691175638 Year: 2015 Publisher: Princeton, NJ : Princeton University Press,

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Graph theory goes back several centuries and revolves around the study of graphs-mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics-and some of its most famous problems. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond.

Keywords

Graph theory. --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Extremal problems --- 1-Factorization Conjecture. --- 1-factorable graph. --- 2-factorable graph. --- Alfred Bray Kempe. --- Alspach's Conjecture. --- Around the World Problem. --- Art Gallery Problem. --- Arthur Cayley. --- Brick-Factory Problem. --- Cayley's Tree Formula. --- Chinese Postman Problem. --- Christian Goldbach. --- Erdős number. --- Euler Identity. --- Euler Polyhedron Formula. --- Eulerian graph. --- First Theorem of Graph Theory. --- Five Color Theorem. --- Five Queens Problem. --- Four Color Conjecture. --- Four Color Problem. --- Gottfried Leibniz. --- Graceful Tree Conjecture. --- Hall's Theorem. --- Hamiltonian graph. --- Herbert Ellis Robbins. --- Icosian Game. --- Instant Insanity. --- Internet. --- Job-Hunters Problem. --- King Chicken Theorem. --- Kirkman's Schoolgirl Problem. --- Knight's Tour Puzzle. --- Kruskal's Algorithm. --- Kuratowski's Theorem. --- Königsberg Bridge Problem. --- Leonhard Euler. --- Lights Out Puzzle. --- Marriage Theorem. --- Minimum Spanning Tree Problem. --- Paul Erdős. --- Peter Guthrie Tait. --- Petersen graph. --- Petersen's Theorem. --- Pierre Fermat. --- Polyhedron Problem. --- Problem of the Five Princes. --- Prüfer code. --- Ramsey number. --- Reconstruction Problem. --- Road Coloring Theorem. --- Robbins's Theorem. --- Sir William Rowan Hamilton. --- Steiner triple system. --- Thomas Penyngton Kirkman. --- Three Friends or Three Strangers Problem. --- Three Houses and Three Utilities Problem. --- Traveling Salesman Problem. --- Traveller's Dodecahedron. --- Tutte's Theorem. --- Vizing's Theorem. --- Voyage Round the World. --- Wagner's Conjecture. --- What Is Mathematics?. --- William Tutte. --- bipartite graph. --- bridge. --- chromatic index. --- coloring. --- complete graph. --- complex numbers. --- connected graph. --- crossing number. --- cyclic decomposition. --- decision tree. --- distance. --- dominating set. --- edge coloring. --- geometry of position. --- graceful graph. --- graph theory. --- graph. --- icosian calculus. --- irregular graph. --- irregular multigraph. --- isomorphic graph. --- leaf. --- mathematicians. --- mathematics. --- orientation. --- oriented graph. --- planar graph. --- problem solving. --- regular graph. --- round robin tournament. --- subgraph. --- theorem. --- tree. --- vertex coloring. --- voting. --- weighted graph.

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