Minimizing Continuous Extensions of Discrete Convex Functions with Linear Inequality Constraints

2009 ◽  
Vol 20 (2) ◽  
pp. 856-867 ◽  
Author(s):  
Satoru Fujishige ◽  
Takumi Hayashi ◽  
Kiyohito Nagano
Keyword(s):  
Convex Functions ◽  
Linear Inequality ◽  
Inequality Constraints ◽  
Linear Inequality Constraints ◽  
Discrete Convex

scholarly journals Mathematical model for determining rational machining conditions for flat grinding with the wheel periphery on machines with a rectangular table

2018 ◽  
Vol 224 ◽  
pp. 01112
Author(s):  
Dmitriy L. Skuratov ◽  
Dmitriy G. Fedorov ◽  
Dmitriy V. Evdokimov
Keyword(s):  
Mathematical Model ◽  
Objective Function ◽  
Linear Inequality ◽  
Inequality Constraints ◽  
Machining Time ◽  
Functional Parameters ◽  
Linear Inequality Constraints ◽  
Machining Quality ◽  
Machining Conditions ◽  
Grinding Operations

A mathematical model is presented for determining the rational machining conditions for flat grinding operations by the rim of a wheel on machines with a rectangular table consisting of a linear objective function and linear inequality constraints. As the objective function, the equation, determining the main machining time, was used. And constraints which are related to the functional parameters and parameters determining the machining quality and the kinematic capabilities of the machine were used as inequality constraints.

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