Search Results - "Vasko, Francis J."
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A comprehensive empirical demonstration of the impact of choice constraints on solving generalizations of the 0-1 knapsack problem using the integer programming option of CPLEX
Published in Engineering optimization (01-09-2020)“…This paper provides comprehensive empirical and analytical evidence of the impact of choice constraints on two important categories of knapsack problems by…”
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Simple strategies that generate bounded solutions for the multiple‐choice multi‐dimensional knapsack problem: a guide for OR practitioners
Published in International transactions in operational research (01-11-2023)“…The multiple‐choice multi‐dimensional knapsack problem (MMKP) is an NP‐hard generalization of the classic 0–1 knapsack problem. The MMKP has a variety of…”
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An OR practitioner’s solution approach to the multidimensional knapsack problem
Published in International journal of industrial engineering computations (01-12-2020)“…The 0-1 Multidimensional Knapsack Problem (MKP) is an NP-Hard problem that has many important applications in business and industry. However, business and…”
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Probability & Perception: The Representativeness Heuristic in Action
Published in The Mathematics teacher (01-09-2014)“…Events that seem more representative may be judged more probable, so experiments and proof are needed to help students analyze a mathematical outcome…”
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What is the best greedy-like heuristic for the weighted set covering problem?
Published in Operations research letters (01-05-2016)“…The greedy heuristic for the weighted set covering problem is a “column knowledge” construction heuristic where cost and row coverage information are used to…”
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A simple and efficient strategy for solving very large-scale generalized cable-trench problems
Published in Networks (01-05-2016)“…Vasko et al., Comput Oper Res 29 (2002), 441–458 defined the cable‐trench problem (CTP) as a combination of the Shortest Path and Minimum Spanning Tree…”
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Formulating and solving a radio astronomy antenna connection problem as a generalized cable‐trench problem: an empirical study
Published in International transactions in operational research (01-09-2017)“…The low‐frequency array, LOFAR, is the world's largest connected low‐frequency (LF) radio telescope, combining antenna arrays from across Western Europe into a…”
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Ask Marilyn in the mathematics classroom: probability questions
Published in International journal of mathematical education in science and technology (15-06-2012)“…Since 1986, Marilyn Vos Savant, who is listed in the Guinness Book of World Records Hall of Fame for the highest IQ, has had a weekly column that is published…”
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Using an interval graph approach to efficiently solve the housing benefit data retrieval problem
Published in International transactions in operational research (01-07-2011)“…Rappos and Thompson use a set covering formulation and a commercial software package to solve the problem of trying to minimize the number of data sets that…”
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Using Wang's two-dimensional cutting stock algorithm to optimally solve difficult problems
Published in International transactions in operational research (01-11-2009)“…P. Y. Wang's classic bottom‐up two‐dimensional cutting stock algorithm generates cutting patterns by building rectangles both horizontally and vertically. This…”
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Using Pinochle to motivate the restricted combinations with repetitions problem
Published in International journal of mathematical education in science and technology (15-07-2011)“…A standard example used in introductory combinatoric courses is to count the number of five-card poker hands possible from a straight deck of 52 distinct…”
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Statistical analyses of solution methods for the multiple-choice knapsack problem with setups: Implications for OR practitioners
Published in Expert systems with applications (01-03-2025)“…•MCKS instances are efficiently solved using Gurobi.•Gurobi generated guaranteed near-optimum by using a sequential strategy.•Gurobi results for the MCKS are…”
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Consolidating Product Sizes to Minimize Inventory Levels for a Multi-Stage Production and Distribution System
Published in The Journal of the Operational Research Society (01-07-1993)“…The optimal design of a supply chain was approached in two phases by using: (1) a mathematical programming formulation and heuristic solution approach to…”
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Can Teachers Trust the World Wide Web for Classroom Lesson Plans?
Published in TechTrends (01-10-2007)“…Standards challenge educators on a regular basis to integrate technology into their content and methods courses. Students today access the Internet which in…”
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When to use Integer Programming Software to solve large multi-demand multidimensional knapsack problems: a guide for operations research practitioners
Published in Engineering optimization (04-05-2022)“…An important generalization of the classic 0-1 knapsack problem is the multi-demand multidimensional knapsack problem (MDMKP). In addition to being…”
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The cable trench problem: combining the shortest path and minimum spanning tree problems
Published in Computers & operations research (01-04-2002)“…Let G=( V, E) be a connected graph with specified vertex v 0∈ V, length l( e)⩾0 for each e∈ E, and positive parameters τ and γ. The cable-trench problem (CTP)…”
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A practical approach for dealing with hard knapsack problems using general‐purpose integer programming software
Published in International transactions in operational research (01-03-2024)“…Several articles dealing with the generation of hard 0‐1 knapsack problems (KPs) have given rise to 13,940 KP instances being made available for empirical…”
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A hierarchical approach for one-dimensional cutting stock problems in the steel industry that maximizes yield and minimizes overgrading
Published in European journal of operational research (01-04-1999)“…In the steel industry, as hot steel products exit the producing facility, they are cut at primary saws (hotsaws) into shorter pieces. After these pieces cool,…”
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A performance comparison of heuristics for the total weighted tardiness problem
Published in Computers & industrial engineering (01-09-1997)“…The single machine total weighted tardiness problem is an NP-hard problem that requires the use of heuristic solution procedures when more than 50 jobs are to…”
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Using a Facility Location Algorithm to Determine Optimum Cast Bloom Lengths
Published in The Journal of the Operational Research Society (01-03-1996)“…The dimensions of a bloom, which is a rectangular piece of steel, are critical for efficiently and effectively rolling the bloom into a finished structural…”
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