Finding the best way to optimize the portfolio after Markowitz's 1952 article has always been and will continue to be one of the concerns of activists in the investment management industry. Researchers have come up with different solutions to overcome this problem. The introduction of mathematical models and meta-heuristic models is one of the activities that has influenced portfolio optimizati...

in this paper, a mathematical method is proposed to formulate a generalized ordering problem. this model is formed as a linear optimization model in which some variables are binary. the constraints of the problem have been analyzed with the emphasis on the assessment of their importance in the formulation. on the one hand, these constraints enforce conditions on an arbitrary subgraph and then g...

in this paper, we develop an inventory model with delay in payments for deteriorating items. in our model, retailer who purchases the items enjoys a fixed credit period offered by his/her supplier and, in turn, also offers a credit period to his/her customers in order to promote the market competition. the demand is assumed to be linear function of the retailer's current-stock level. the effect...

improvement in braking performance and vehicle stability can be achieved through the use of braking systems whose brake force distribution is variable. electronic braking force distribution has an important and serious role in the vehicle stopping distance and stability. in this paper a new approach will be presented to achieve the braking force distribution strategy for articulated vehicles. f...

A large portion of research in science and engineering, as well as in business, concerns one similar problem: how to make things “better”? Once properly modeled (often a highly nontrivial task), this kind of question can be approached via a mathematical optimization problem. An optimal solution to a mathematical optimization problem, when interpreted properly, might correspond to new knowledge,...

Optimization of Supply Chains: A Continuous Approach Ciro D’Apice, Simone Göttlich, Michael Herty, and Benedetto Piccoli This book offers a state-of-the-art introduction to the mathematical theory of supply chain networks, focusing on those described by partial differential equations. The authors discuss modeling of complex supply networks as well as their mathematical theory; explore modeling,...

Theory, computation, and an example of mathematical programming models with optimization problems in the constraints have been discussed in a previous paper [1]. A computer program for solving mathematical programming models with nonlinear programs in the constraints has been presented in a subsequent paper [2], A procedure for transforming mathematical programs with two-sided optimization prob...

A matroid is a mathematical structure that generalizes the notion of linear independence. Remarkably, this simple and elegant mathematical structure can be used to systematically develop efficient and simple “greedy” algorithms for a variety of discrete optimization problems. Moreover, matroids provide some insight into why other discrete optimization problems are apparently computationally int...

The design of operators (e.g. filters) for Signal or Image Processing requires an algebraic decomposition structure, to represent the family of operators considered, and statistical optimization techniques, defined over the space of operator decompositions or over another isomorphic structure. This paper surveys a technique for designing set operators based on Mathematical Morphology decomposit...

Dynamic optimization problems, including optimal control problems, have typically relied on the solution techniques of dynamic programming, involving the sequential solution of certain optimality equations. However, many problems cannot be handled this way, due to complex constraints, a continuous state space, and other complicating factors. When recast as mathematical programs relying on the p...