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integer programming » linear programming (Expand Search)
programming solved » program solved (Expand Search)
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41
MTVRP.ipynb
Published 2025“…This reduces the problem’s dimensionality to routing with multiple trips and a homogeneous fleet. The second phase solves this using mixed-integer linear programming. …”
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42
Solution of a practical vehicle routing problem for monitoring water distribution networks
Published 2024“…The key must then be returned to the same key centre after the test has been performed, thus introducing precedence constraints and multiple visits in the routes. To solve the problem, a Mixed Integer Linear Programming model and an Iterated Local Search have been implemented. …”
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43
An optimal scheduling method for heavy haul trains with virtual coupling technology
Published 2025“…Finally, the optimization problem equipped with the proposed constraints and the combined objective function is transformed into an integer linear programming problem and solved by GUROBI. …”
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44
Optimizing research in Antarctica: a novel approach to project selection and scheduling across multiple stations
Published 2025“…This study introduces a novel framework for the Research Project Selection and Scheduling in Multiple Antarctic Stations Problem (RPSAP), formulated as a mixed-integer programming model. The model incorporates resource-sharing constraints, station-specific capacities, transportation delays, and sustainability considerations. …”
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45
Supervised Learning of the Optimal Objective Function Value in Chemical Production Scheduling
Published 2025“…Mixed-integer programming (MIP) can be used to formulate and solve complex production scheduling problems in the field of process systems engineering. …”
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46
S1 File -
Published 2024“…This model contains a large number of integer variables and nonlinear constraints, which is difficult to solve. …”
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47
Results of single objective optimization.
Published 2024“…This model contains a large number of integer variables and nonlinear constraints, which is difficult to solve. …”
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48
Flow chart of simplex search algorithm.
Published 2024“…This model contains a large number of integer variables and nonlinear constraints, which is difficult to solve. …”
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49
IEEE-33 bus system.
Published 2024“…This model contains a large number of integer variables and nonlinear constraints, which is difficult to solve. …”
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50
Success rate of case I.
Published 2025“…The most time-consuming part of Shamir’s attack is to recover the critical intermediate parameters by solving an integer programming problem with a fixed number of variables, whose worst-case complexity is exponential of the number of variables. …”
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51
Comparison of running time.
Published 2025“…The most time-consuming part of Shamir’s attack is to recover the critical intermediate parameters by solving an integer programming problem with a fixed number of variables, whose worst-case complexity is exponential of the number of variables. …”
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52
Distribution of <i>i</i><sub>0</sub>.
Published 2025“…The most time-consuming part of Shamir’s attack is to recover the critical intermediate parameters by solving an integer programming problem with a fixed number of variables, whose worst-case complexity is exponential of the number of variables. …”
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53
Example of chromosome encoding.
Published 2024“…To guarantee the efficiency of this system, a joint scheduling problem of the YCs and the ULVs is proposed and formulated as an integer programming model to minimize the total waiting time of the YCs and ULVs. …”
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54
Convergence of GA.
Published 2024“…To guarantee the efficiency of this system, a joint scheduling problem of the YCs and the ULVs is proposed and formulated as an integer programming model to minimize the total waiting time of the YCs and ULVs. …”
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55
Example of crossover strategy.
Published 2024“…To guarantee the efficiency of this system, a joint scheduling problem of the YCs and the ULVs is proposed and formulated as an integer programming model to minimize the total waiting time of the YCs and ULVs. …”
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56
Flowchart of the GA algorithm.
Published 2024“…To guarantee the efficiency of this system, a joint scheduling problem of the YCs and the ULVs is proposed and formulated as an integer programming model to minimize the total waiting time of the YCs and ULVs. …”
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57
Underground operations with a buffer area.
Published 2024“…To guarantee the efficiency of this system, a joint scheduling problem of the YCs and the ULVs is proposed and formulated as an integer programming model to minimize the total waiting time of the YCs and ULVs. …”
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58
SD under different weights.
Published 2024“…The CAV speed optimization model, represented as a mixed-integer nonlinear optimization problem, is solved using A Mathematical Programming Language (AMPL) and the BONMIN solver. …”
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59
Model framework.
Published 2024“…The CAV speed optimization model, represented as a mixed-integer nonlinear optimization problem, is solved using A Mathematical Programming Language (AMPL) and the BONMIN solver. …”
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60
Vehicle travel time.
Published 2024“…The CAV speed optimization model, represented as a mixed-integer nonlinear optimization problem, is solved using A Mathematical Programming Language (AMPL) and the BONMIN solver. …”