# Bi-level programming

### Integrating Goal Programming, Taylor Series, Kuhn-Tucker Conditions, and Penalty Function Approaches to Solve Linear Fractional Bi-level Programming Problems

**programming**(GP), Tay- lor Series, Kuhn-Tucker conditions and Penalty Function approaches to solve linear fractional

**bi**-

**level**

**programming**...lower

**level**problem, we transform the ...

10

### A robust bi-level programming model for designing a closed-loop supply chain considering government's collection policy

**bi**-

**level**

**programming**approaches were proposed to incorporate uncertainty of ...to

**bi**-

**level**

**programming**can be considered as another future work ...

18

### An Effective Branch-and-cut algorithm in Order to Solve the Mixed Integer Bi-level Programming

**level**unit (follower) is called hierarchical ...some

**level**of autonomy, this process becomes more complex to implement, coordinate and ...mathematical

**programming**environment, these interactive ...

10

### A bi-level programming approach to coordinating pricing and ordering decisions in a multi-channel supply chain

**bi**-

**level**

**programming**problem. The upper

**level**problem is a mathematical model dealing with decisions of the manufacturer, while the lower

**level**is a Nash equilibrium model determining ...

25

### A Modified Simplex Method for Solving Linear-Quadratic and Linear Fractional Bi-Level Programming Problem

**bi**-

**level**

**programming**problem (BLP) is a suitable method for solving the real and complex problems in applicable areas such as management, economics, policies and planning and so ...

13

### Pricing and advertising decisions in a dominant-retailer supply chain: A multi-follower bi-level programming approach

13

### Pricing decisions in a two-echelon decentralized supply chain using bi-level programming approach

**bi**-

**level**

**programming**seems to be the best approach to overcome the ...proposed

**bi**-

**level**model is NP-hard, a simulated annealing method combining with Tabu search is ...

19

### A bi-level programming model for decentralized manufacturer-distributer supply chain considering cooperative advertising

**bi**-

**level**

**programming**prob- lem is referred to as Stackelberg ...a

**bi**-

**level**

**programming**problem that, even in its simplest form (linear objective function and constraint), has ...

20

### Research of Flow Allocation Optimization in Hybrid Software Defined Networks Based on Bi-level Programming

7

### Coordination of pricing and cooperative advertising for perishable products in a two-echelon supply chain: A bi-level programming approach

**bi**-

**level**

**programming**problem (BLPP) facilitates the formulation of the problems that involve a hierarchical decision making process, the considered problem will be modeled as a ...

21

### Chance Constrained Linear Plus Linear Fractional Bi level Programming Problem

**bi**-

**level**

**programming**problem (CCLPLFBLPP). In

**bi**-

**level**

**programming**problem (BLPP), two types of decision makers (DMs) ...upper

**level**decision maker (ULDM) and ...

6

### A Metaheuristic Framework for Bi-level Programming Problems with Multi-disciplinary Applications

**Bi**-

**level**

**programming**problems arise in situations when the decision maker has to take into account the responses of the users to his ...the

**bi**-

**level**pro- gramming framework. ...

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### Designing the optimum plan for regenerating the pedestrian network of historic districts using bi-level programming (Case study: Historical-Cultural district of Tehran, Iran)

**bi**-

**level**

**programming**model is presented in which the lower

**level**is a multi-class user equilibrium pedestrian assignment algorithm and the upper

**level**problem is a multi-objective ...

21

### An application of data mining classification and bi-level programming for optimal credit allocation

**bi**-

**level**...in

**bi**-

**level**credit allocation; at the first

**level**government/public related institutes must allocate the credit strategically concerning sustainable development to ...

16

### A bi-level programming approach for trip matrix estimation and traffic control problems with stochastic user equilibrium link flows

**programming**problem with the upper-

**level**variables being constrained by the lower-

**level**...linear

**programming**(NP) ...upper-

**level**objective function requires solving the ...

30

### Bi-level programming for supplier selection under quantity discount policy

10

### A Non-linear Integer Bi-level Programming Model for Competitive Facility Location of Distribution Centers

**bi**-

**level**mathematical model, where the upper

**level**represents the decisions of the leader producer and the lower

**level**administrates the decisions of the follower ...problems, ...

10

### On the Solution of Rough Goal Bi-Level Multi-Objective Linear Programming Problem

**Bi**-

**level**

**programming**is a powerful and robust technique for solving hierarchical decision making ...Goal

**programming**is one powerful tool that has been proposed for the modeling, analysis and ...

16

### A bi-level decision model for customer churn analysis

**bi**-

**level**decision problems has centered on linear

**bi**-

**level**decision problems, for which nearly two dozen algorithms have been ...For

**bi**-

**level**decision problems with non-linear ...

22

### Resilience in high level parallel programming languages

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