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Mixed Integer Linear Formulation

A mixed integer linear programming formulation for the vehicle routing problem with backhauls   Pages 295-308
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A mixed integer linear programming formulation for the vehicle routing problem with backhauls Pages 295-308 Download PDF

... the outdegree constraints (5) impose that exactly one arc leaves each customer, except for those customers who are at the end of the route where the tie-arcs emerging from LC to a BC or to the depot should be considered. ...

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Two-Group MultiODA: A Mixed-Integer Linear Programming Solution with Bounded M

Two-Group MultiODA: A Mixed-Integer Linear Programming Solution with Bounded M

... Because the normalization (5) requires that all optimal weight vectors x* lie on a 45° properly rotated hypercube centered at the origin, this formulation is referred to as MIP45. It may be the case that more than ...

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Polyhedral Study of Mixed Integer Sets Arising from Inventory Problems

Polyhedral Study of Mixed Integer Sets Arising from Inventory Problems

... corresponding linear relaxation bound provides a better bound to the value of the optimal solution than the bound obtained from the linear relaxation of the initial formulation) for such problems ...

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A mixed integer linear programming formulation for a multi-stage, multi-Product, multi-vehicle aggregate production-distribution planning problem

A mixed integer linear programming formulation for a multi-stage, multi-Product, multi-vehicle aggregate production-distribution planning problem

... of integer variables varies from 180 to 6920, while in Scenario II it varies from 190 to ...of integer variables for a specific problem in Scenario II is slightly greater than that value of same problem in ...

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A Mixed Integer Linear Programming Model to Regulate the Electricity Sector

A Mixed Integer Linear Programming Model to Regulate the Electricity Sector

... This paper contributes to the relevant literature in several ways. First, our model, tries to identify the main determinants of the optimal planning of the wholesale electricity market. For this reason, we measure the ...

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Stackelberg Surveillance

Stackelberg Surveillance

... (mixed-integer) linear programming ...as linear pro- ...a mixed integer lin- ear program, the defender’s decision problem becomes a non-linear ...problem ...

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A multi-objective robust optimization model for a facility location-allocation problem in a supply chain under uncertainty

A multi-objective robust optimization model for a facility location-allocation problem in a supply chain under uncertainty

... In this paper, we considered the facility location- allocation problem under the stochastic customer demand and cost parameters to design a supply chain. To handle the uncertainty, we adopted the scenario approach. We ...

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The Linear Formulation of Thermal Unit Commitment Problem with Uncertainties through a Computational Mixed Integer

The Linear Formulation of Thermal Unit Commitment Problem with Uncertainties through a Computational Mixed Integer

... the load demand has also been multiplied by 10 accordingly. The time span is divided to meet 10% of the spinning reserve requirement each of the 24 hourly periods. The inventive ten-unit structure can be seen in the ...

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Short Term Scheduling of Combined Cycle Units Using Mixed Integer Linear Programming Solution

Short Term Scheduling of Combined Cycle Units Using Mixed Integer Linear Programming Solution

... first formulation of a combined cycle unit model using MIP is presented in [11] where a detailed formula- tion of a price-based unit commitment (PBUC) problem based on the MIP method is ...related mixed ...

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Variations in the efficiency of a mathematical programming solver according to the order of the constraints in the model

Variations in the efficiency of a mathematical programming solver according to the order of the constraints in the model

... of mixed integer linear mathematical programming depends on the model (formulation) ...the mixed integer linear mathematical programming depends not only on the model ...

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Methods And Solvers Used For Solving Mixed Integer Linear Programming And Mixed Nonlinear Programming Problems: A Review

Methods And Solvers Used For Solving Mixed Integer Linear Programming And Mixed Nonlinear Programming Problems: A Review

... its formulation and reduce the size of the ...problem formulation, effectively by removing excess data (like variables and constraints) and by reinforcing variable ...

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A mixed integer linear programming approach to forest utilisation management problems

A mixed integer linear programming approach to forest utilisation management problems

... area for management units that arise in a model I or model II formulation are termed structural constraints, whereas those constraints that integrate the flow of resources from managemen[r] ...

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Resource Allocation Model in Cloud Computing Using Mixed Integer Linear Program

Resource Allocation Model in Cloud Computing Using Mixed Integer Linear Program

... During slot t, the total output data at class-i instance cannot exceed the aggregate throughput volume on that instance. Constraint (4) is often referred to as the forcing constraint. It states that there will be no data ...

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Dynamic Bandwidth Optimization for Coordinated Arterial.

Dynamic Bandwidth Optimization for Coordinated Arterial.

... DP formulation requires a fixed sequence of phases and a longer forecast ...DP formulation requires a fixed sequence of phases, it cannot optimize phase ...

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A note on representations of linear inequalities in non convex mixed integer quadratic programs

A note on representations of linear inequalities in non convex mixed integer quadratic programs

... In the literature on the quadratic 0-1 knapsack problem, several alternative ways have been given to represent the knapsack constraint in the quadratic space. We extend this work by constructing analo- gous ...

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A Two Stage Stochastic Programming Model of the Price Decision Problem in the Dual-channel Closed-loop Supply Chain

A Two Stage Stochastic Programming Model of the Price Decision Problem in the Dual-channel Closed-loop Supply Chain

... new mixed integer linear programming model for designing integrated forward/reverse logistics based on pricing policy in direct and indirect sales ...

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Constructing  Mixed-integer  Programming  Models  whose  Feasible  Region  is  Exactly  the  Set  of  All  Valid  Differential  Characteristics  of  SIMON

Constructing Mixed-integer Programming Models whose Feasible Region is Exactly the Set of All Valid Differential Characteristics of SIMON

... 2. Siwei Sun, Lei Hu, Meiqin Wang, Peng Wang, Kexin Qiao, Xiaoshuang Ma, Danping Shi, Ling Song, Kai Fu. Towards Finding the Best Characteristics of Some Bit- oriented Block Ciphers and Automatic Enumeration of ...

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Multi lingual Dependency Parsing with Incremental Integer Linear Programming

Multi lingual Dependency Parsing with Incremental Integer Linear Programming

... the linear model of McDonald et ...the linear model using the Max- imum Spanning Tree algorithm we pro- pose an incremental Integer Linear Pro- gramming formulation of the problem that ...

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A Novel Method for Designing and Optimization of Networks

A Novel Method for Designing and Optimization of Networks

... zero-one integer programming technique and Romero and Monticelli [11] proposed a zero-one implicit enumeration method for optimizing investments in transmission expansion ...model; linear; zero-one and ...

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A Novel Interactive Possibilistic Mixed Integer Nonlinear Model for Cellular Manufacturing Problem under Uncertainty

A Novel Interactive Possibilistic Mixed Integer Nonlinear Model for Cellular Manufacturing Problem under Uncertainty

... To represent the practically and validity of the proposed interactive possibilistic mixed integer nonlinear programming model, an industrial numerical experiment inspired from a manufacturing company is ...

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