/pdf/convex-analysisnoer-san-nojin-zhan-nituite-5dl2rbmoyr.pdf

Convex Analysisの二,三の進展について

A geometric program (GP) is a type of mathematical optimization problem characterized by objective and constraint functions that have a special form. Recently developed solution methods can solve even large-scale GPs extremely efficiently and reliably; at the same time a number of practical problems, particularly in circuit design, have been found to be equivalent to (or well approximated by) GPs. Putting these two together, we get effective solutions for the practical problems. The basic approach in GP modeling is to attempt to express a practical problem, such as an engineering analysis or design problem, in GP format. In the best case, this formulation is exact; when this is not possible, we settle for an approximate formulation. This tutorial paper collects together in one place the basic background material needed to do GP modeling. We start with the basic definitions and facts, and some methods used to transform problems into GP format. We show how to recognize functions and problems compatible with GP, and how to approximate functions or data in a form compatible with GP (when this is possible). We give some simple and representative examples, and also describe some common extensions of GP, along with methods for solving (or approximately solving) them.

/pdf/a-tutorial-on-geometric-programming-47sdznbzxw.pdf

A tutorial on geometric programming

Nonlinear Programming: A Unified Approach

Environmentally conscious manufacturing and product recovery (ECMPRO): A review of the state of the art

https://faculty.biu.ac.il/~shnaidh/zooloo/trnsprt2/Location-routing-%20Issues,%20models%20and%20methods.pdf

Location-routing: Issues, models and methods

Just as the mobile phone allowed developing
countries to leapfrog technology in personal
communication, the delivery drone has the potential
to have the same effect on traditional transportation
infrastructure. Inaccessible roads no longer will
prevent delivery of blood, medications or other
healthcare items. This paper reviews the current
status of innovative drone delivery with a particular
emphasis on healthcare. The leading companies in
this field and their different strategies are studied.
Further we review the latest decision models that
facilitate management decision making for operating
a drone fleet. Our contribution in this paper of two
new models associated with the design of a drone
healthcare delivery network will facilitate more
timely, efficient and economical drone healthcare
delivery to potentially save lives.

/pdf/drone-delivery-models-for-healthcare-ysmztcwyk1.pdf

Drone Delivery Models for Healthcare

Resource allocation on a project planning network is modelled as a minimax convex program. A limited budget is to be distributed over the activities of a project so as to minimize the duration of the project or critical path. Conjugate duality is used to simplify the formulation for computational purposes

Allocation of resources in project management

This paper develops an optimal allocation procedure for the disassembled components of electronic equipment. It also reviews and discusses the reuse options available to high-tech companies when it comes to disassembly. A piecewise linear concave program is formulated to find the optimal disassembly strategy. The model is then applied to actual data from an electronics manufacturer. It is concluded that the landfill option, the most undesirable option available to most manufacturers, can be avoided if the manufacturer can find other options with non-negative returns.

Model for the allocation of electronics components to reuse options

This article describes how a healthcare delivery drone has the potential for developing countries to leapfrog the development of traditional transportation infrastructure. Inaccessible roads no longer will prevent urgent delivery of blood, medications or other healthcare items. This article reviews the current status of innovative drone delivery with a particular emphasis on healthcare. The leading companies in this field and their different strategies are studied. Further, this article reviews the latest decision models that facilitate management decision making for operating a drone fleet. The contribution in this article of two new models associated with the design of a drone healthcare delivery networks will facilitate a more timely, efficient, and economical drone healthcare delivery service to potentially save lives.

Models for Drone Delivery of Medications and Other Healthcare Items

This paper is concerned with the optimal location of a central warehouse, given a fixed number and the locations of the local warehouses. We investigate whether the solution determined by the traditional model that minimizes total transportation cost differs from the one determined by a model that also takes into account the inventory and service costs. We build simple models to address this question. Numerical results show that ignoring inventory costs in modeling location models may lead to inferior location solutions.

Carlton H. Scott

Papers

Drone Delivery Models for Healthcare

Allocation of resources in project management

Model for the allocation of electronics components to reuse options

Models for Drone Delivery of Medications and Other Healthcare Items

The central warehouse location problem revisited