# Application of Online Optimization Supporting

Problem-Solving & Decision-Making

## Applied Optimization

## ODMO Solutions + Demo

## [SAGP]

Smart Agriculture Platform

##### [sagp-cu][1]: Maximizing tree production

The target is to optimize the number of planted trees per acre such that the yield is maximized.

##### [sagp-cu][2]: Maximizing tree production with more contraints

The target is to optimize the number of planted trees per acre such that the yield profit is maximized.

##### [sagp-cu][3]: Cropping plan optimization

The target is to optimize the the area of yields such that the profit is maximized.

##### [sagp-cu][4]: Maximizing garden shop revenue

The target is to optimize the number of gardening mixture and potting mixture packages such that the income is maximized.

##### [sagp-cu][5]: Minimizing the cost of fruit drink

How much of each fruit drink should the catere use to obtain the required composition at minimum cost?

##### [sagp-ls][1]: Pig livestock optimization

How many day should the holder keep pigs to maximize the profit rate?

##### [sagp-ls][2]: Optimizing the pig farm revenue

The target is to determine the optimal time for selling pigs for revenue maximization.

##### [sagp-ls][3]: Maximizing turnover of Pig farm under different genders

The target is to provide optimal options for choosing models accoding to the changes in pig price.

##### [sagp-ls][4]: Maximizing turnover of pig farm under different food types

The target is to provide optimal options for choosing food-type models accoding to the changes in export price.

##### [sagp-ls][5]: Maximizing turnover of turtle farm

When are the optimal import time and export time for maximizing the turtle farm revenue?

# To be updated!

## [SBUP]

Smart Business Platform

##### [sbup-po][1]: Product-mix problem in furniture industry

How many tables and chairs should the manufacturer produce in order to maximize the overall profit?

##### [sbup-po][2]: Optimizing a production planning model

Minimize overall production cost while Maximize utilization of working hours.

##### [sbup-po][3]: Meet demand of production in the penalty minimization

How many products each type does the manufacturer need to produce to minimize the penalty?

##### [sagp-ls][1]: Pig livestock optimization

How many day should the holder keep pigs to maximize the profit rate?

##### [sagp-ls][2]: Optimizing the pig farm revenue

The target is to determine the optimal time for selling pigs for revenue maximization.

##### [sagp-ls][3]: Maximizing turnover of Pig farm under different genders

The target is to provide optimal options for choosing models accoding to the changes in pig price.

##### [sagp-ls][4]: Maximizing turnover of pig farm under different food types

The target is to provide optimal options for choosing food-type models accoding to the changes in export price.

##### [sagp-ls][5]: Maximizing turnover of turtle farm

When are the optimal import time and export time for maximizing the turtle farm revenue?

##### [sbup-ti][1]: Portfolio risk minimization

Investment allocation for minimizing the risk

##### [sbup-ti][2]: Maximizing long-term investment

How is to maximize the total profit after 5 years investment?

##### [sbup-ti][3]: Maximizing rental income

The target is to optimize the number of rented apartments such that the income per month is maximized.

##### [sbup-ti][4]: Maximizing annual return for investment

The target is to allocate money to bonds for maximizing the total return.

##### [sbup-ti][5]: Network flow problem

How to minimize the probability of having traffic jam via path planning from node 1 to node 5?

##### [sbup-ti][6]: Investment of multimedia advertising

How to allocate the number of advertisements on TV, radio and daily newspaper to maximize fulfill the demand?

# To be updated!

## [SCOP]

Smart Communication Platform

##### [scop-ra][1]: Antenna selection

To be updated!

##### [scop-ra][2]: Power allocation

How much power should we allocate to this BS serving each user for maximizing the total date rate?

##### [scop-ra][3]: Maximizing throughput

Determine tower location that minimize total distance from new tower to existing towers.

# To be updated!

# To be updated!

## [SDEP]

Smart Design Platform

##### [sdep-md][1]: A curtain material trim loss problem

Determine the production plan that minimizes the curtain material trim loss.

##### [sdep-md][2]: Maximizing the volume of a box

How to maximize the volume of the box with the constraints of wall and floor?

##### [sdep-md][3]: Minimizing bounding box for floor plan

How to minimize the bounding box for floor design plan with the constraints of legth and width of floor?

##### [sdep-md][4]: A design of water pipeline using GP

The target is to find the dimension of container such that the cost of material for designing the container is minimized.

##### [sdep-md][5]: A design of box for storing using GP

The task for designers is how to design an optimal box with the aim of cost minimization.

##### [sdep-md][6]: A design of closed tank using GP

What are the optimal sizes of the tank to minimize the material cost?

##### [sdep-md][7]: Design Box

The target is to find the dimension of container such that the cost of material for designing the container is minimized.

##### [sdep-md][8]: Design Closed Box

The target is to find the dimension of box such that the volume of designed box is maximized.

##### [sdep-md][9]: Design Garden

The target is to find the dimension of garden such that the cost of material for designing the garden is minimized.

##### [sdep-md][10]: Design Can (Soda can)

The target is to find the cheapest cost to ensure the standard volume of can.

##### [sdep-md][11]: Design Tank

The target is to find the cheapest cost to ensure the volume of tank.

# To be updated!

## [SDIP]

Smart Digital Platform

# To be updated!

# To be updated!

##### [sdip-dsp][1]: Optimize Otsu’s method for classifying foreground and background

How to improve the Otsu’s method to find the optimal threshold T more quickly?

##### [sdip-dsp][2]: Digital signal processing

To be updated!

## [SENP]

Smart Environmental Platform

# To be updated!

# To be updated!

##### [senp-ge][1]: Electrical power allocation

How to allocate the power for factories from suppliers with the aim to minimize the wasted power?

##### [senp-ge][2]: Green environment problem

To be updated!

##### [senp-ge][3]: Optimal forest exploitation

How to exploit this forest in 8 years to maximize the total old area with the constraints of the total demand and the environment protection concurrently?

# To be updated!

## [SHCP]

Smart Healthcare Platform

# To be updated!

##### [shcp-ra][1]: Optimal nutrient from food for training regimen with minimum cost

How much of each food should eat each day to meet requirement regimen with the lowest cost?

##### [shcp-ra][2]: Optimal nutrient units for athletes with minimum cost

How many units of each nutrient should be supplied for athlete in order that the cost of training plan is minimum?

##### [shcp-ra][3]: (*) Medical resouce allocations (Covid pandemic)

How to allocate with minimum required resource for THREE medical hotspots?

##### [shcp-ra][4]: Optimal meal for a dietician with minimum cost

How many grams of each type of food shoud be served to minimize the cost of the meal while still satisfy the dietician’s requirements?

##### [shcp-ra][5]: Allocate doctors for treatment after an accident

How to allocate patients to doctors for minimizing risk?.

## [SINP]

Smart Industry Platform

##### [sinp-cp][1]: Minimizing energy loss using GP

How to maximize the rate of energy supplied to the industry and obtain the optimum?

##### [sinp-cp][2]: Minimizing hot-rolling process using GP

How to minimize the cost in the hot-rolling process?

##### [sinp-cp][3]: Maximizing the profit for producing allocation

How to maximize profit by allocating the optimal number of products to suitable facilities?

##### [sinp-mf][1]: A production planning model

The company want to develop a plan with two objectives concurrently: 1. Minimize overall production cost 2. Maximize utilization of working hours

##### [sinp-mf][2]: A production plan with goal programming

To be updated!

##### [sinp-mf][3]: Assigning workload for skilled and semiskilled workers

How many tables should produce in a week in order to maximize profit?

##### [sinp-mf][4]: Employing skilled and semiskilled workers

How many tables should produce in a week and how many workers should be employed in order to maximize profit?

##### [sinp-mf][5]: Meet the demand of production in the penalty minimization

How many products each type does the manufacturer need to produce to minimize the penalty?

# To be updated!

## [STSP]

Smart Transportation Platform

##### [stsp-lg][1]: Minimize the number of trucks for package transportation

How many trucks is the minimum number needed for shipping all packages from the warehouse to three areas within a given number of days?

##### [stsp-lg][2]: Minimize transportation time in Logistic

What is the minimum transportation time for shipping all packages from the warehouse to three areas with a given number of trucks in company?

##### [stsp-lg][3]: Choosing locations for new plants

Find the locations for 3 new assembly plants to minimize the delivery cost.

##### [stsp-lg][4]: Airport taxiway optimization

Designing a smart schedule to minimize taxi distance can not only reduce the moving duration of airplanes, but also reduce the cost of energy consumption.

##### [stsp-ra][1]: Optimal resource of vehicle types

How many of each type of van should be purchased to maximize number of served passengers.

##### [stsp-ra][2]: Minimizing transportation cost

How many units should be transported from each factory to each deplot in order that the cost of transportation plan is minimum?

##### [stsp-ra][3]: A vehicle mix problem with maximum vehicle numbers

To move a maximum amount of cubic meters, what mix of Mack and Mercedes vehicles should the commanding officer choose?

##### [stsp-ra][4]: Bus allocation for minimizing oil consumption

How many buses should be assigned to each route for minimizing the oil consumption?

# To be updated!

## [MAGP]

Mathematical Programming

##### [magp-lp][1]: Linear programming

Linear programming with scalar variables.

##### [magp-lp][2]: Linear programming (vector)

Linear programming with vector variables.

##### [magp-lp][3]: Linear programming (affine)

Linear programming with scalar variables and affine functions.

##### [magp-lp][4]: Linear programming (fraction)

Linear programming with a fractional objective of affine functions.

##### [magp-lp][5]: Linear programming (norm)

Linear programming with norm-l1 function.

##### [magp-lp][6]: Linear programming (norm)

Linear programming with norm-infinity function.

##### [magp-lp][7]: Linear programming (inner product)

Linear programming with inner product of LP problem.

##### [magp-lp][8]: Linear programming (fraction)

Linear programming with a fractional constraint.

##### [magp-lp][9]: Linear programming (exponent)

Linear programming with an exponential constraint.

##### [magp-qp][1]: Quadratic programming

Quadratic programming with scalar variables.

##### [magp-qp][2]: Quadratic programming (constraint)

Quadratic programming with equality constraints.

##### [magp-qp][3]: Quadratic programming (constraint)

Quadratic programming with inequality constraints.

##### [magp-qp][4]: Quadratic programming (constraints)

Quadratic programming with both equality and inequality constraints.

##### [magp-cp][1]: Conic programming

Conic programming with a linear problem.

##### [magp-cp][2]: Conic programming (constraints)

Conic programming with a model of quadratically constrained quadratic problem.

##### [magp-cp][3]: Conic programming (constraint)

Conic programming with general models.

##### [magp-gp][1]: Geometric programming (simple)

Geometric programming with a simple model.

##### [magp-gp][2]: Geometric programming (constraint)

Geometric programming with positive constraints of variables.

##### [magp-gp][3]: Geometric programming (constraint)

Geometric programming with GP constraints.

##### [magp-gp][4]: Geometric programming (objectives)

Geometric programming with objective functions as a list.

##### [magp-sdp][1]: Semidefinite programming

Semidefinite programming with a linear problem.

##### [magp-sdp][2]: Semidefinite programming (general)

Semidefinite programming with general models.

##### [magp-sdp][3]: Semidefinite programming (nonlinear)

Semidefinite programming with nonlinear functions but convexity.

##### [magp-stnp][1]: Structure Nonconvex Programming

Structure Nonconvex Programming with an absolute value function.

##### [magp-stnp][2]: Structure Nonconvex Programming (minimax)

Structure Nonconvex Programming by minimizing the maximum of a list functions.

##### [magp-stnp][3]: Structure Nonconvex Programming (norm)

Structure Nonconvex Programming with norm-l2.

##### [magp-stnp][4]: Structure Nonconvex Programming (norm)

Structure Nonconvex Programming with a norm-1 objective and linear constraints.

##### [magp-stnp][5]: Structure Nonconvex Programming (integer)

Structure Nonconvex Programming with integer variables.

## ODMO Development

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