Hotel Room Price Determination Based on Dynamic Pricing Model Using Nonlinear Programming Method to Maximize Revenue

2019 ◽  
Author(s):  
Muhammad Fadly ◽  
Ari Yanuar Ridwan ◽  
Mohammad Deni Akbar
Keyword(s):  
Nonlinear Programming ◽  
Dynamic Pricing ◽  
Programming Method ◽  
Pricing Model ◽  
Price Determination ◽  
Hotel Room ◽  
Nonlinear Programming Method

Optimal Fair Division for Measures with Piecewise Linear Density Functions

2017 ◽  
Vol 19 (02) ◽  
pp. 1750009 ◽  
Author(s):  
Jerzy Legut
Keyword(s):  
Nonlinear Programming ◽  
Linear Density ◽  
Piecewise Linear ◽  
Fair Division ◽  
Unit Interval ◽  
Programming Method ◽  
Probability Measures ◽  
Density Functions ◽  
Nonlinear Programming Method

A nonlinear programming method is used for finding an optimal fair division of the unit interval [Formula: see text] among [Formula: see text] players. Preferences of players are described by nonatomic probability measures [Formula: see text] with piecewise linear (PWL) density functions. The presented algorithm can be applied for obtaining “almost” optimal fair divisions for measures with arbitrary density functions approximable by PWL functions. The number of cuts needed for obtaining such divisions is given.

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