Lattice Programming and the Consumer's Problem

2003 ◽  
Author(s):  
Leonard J. Mirman ◽  
Richard R. Ruble
Keyword(s):  
Lattice Programming

Lattice programming methodology

1989 ◽  
pp. 96-107
Author(s):  
Kouichi Fukunaga ◽  
Shinichi Morishita
Keyword(s):  
Programming Methodology ◽  
Lattice Programming

scholarly journals On the lattice programming gap of the group problems

2015 ◽  
Vol 43 (2) ◽  
pp. 199-202 ◽  
Author(s):  
Iskander Aliev
Keyword(s):  
Lattice Programming

M♮-Convexity and Its Applications in Operations

2021 ◽  
Author(s):  
Xin Chen ◽  
Menglong Li
Keyword(s):  
Comparative Statics ◽  
Optimization Models ◽  
Optimal Solutions ◽  
Monotone Comparative Statics ◽  
Stochastic Inventory ◽  
Fundamental Properties ◽  
Stochastic Inventory Model ◽  
Lattice Programming ◽  
Discrete Convex Analysis ◽  
Preservation Property

A new approach for structural analysis of operations models with substitutability structures. In many operations models with substitutability structures, one often ends up with parametric optimization models that maximize submodular objective functions, and it is desirable to derive structural properties including monotone comparative statics of the optimal solutions or preservation of submodularity under the optimization operations. Yet, this task is challenging because the classical and commonly used results in lattice programming, applicable to optimization models with supermodular objective function maximization, do not apply. Using a key concept in discrete convex analysis, M♮-convexity, Chen and Li establish conditions under which the optimal solutions are nonincreasing in the parameters and the preservation property holds for parametric maximization models with submodular objectives, together with the development of several new fundamental properties of M♮-convexity. Their approach is powerful as demonstrated by applications in a classical multiproduct stochastic inventory model and a portfolio contract model.

Subextremal Functions and Lattice Programming

1992 ◽  
Author(s):  
Marco LiCalzi ◽  
Arthur F. Veinott
Keyword(s):  
Lattice Programming

Isotonicity of minimizers in polychotomous discrete interval search via lattice programming

2000 ◽  
Vol 51 (1) ◽  
pp. 139-173 ◽  
Author(s):  
Karl Hinderer ◽  
Michael Stieglitz
Keyword(s):  
Lattice Programming ◽  
Discrete Interval
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