Application of Mathematics in Logistics Optimization

Application areas:

1.Linear Programming, LP

  • Description: Used to maximize or minimize a linear objective function subject to a set of linear inequality or equality constraints.
  • Application: Applicable to route selection, transportation problems, resource allocation, etc. in logistics.

2.Integer Programming, IP

  • Description: Linear program whose solutions must be integers.
  • Applications: Suitable for facility layout, vehicle routing problems, warehouse site selection, etc.

4.Dynamic Programming, DP

  • Description: Solve multi-stage decision problems by breaking them down into smaller sub-problems.
  • Applications: Suitable for inventory management, distribution network design, route optimization, etc.

5.Mathematical Programming

  • Description: Contains a wide range of applications including linear programming, nonlinear programming, and integer programming.
  • Application: Widely used in supply chain optimization, demand forecasting and other issues in logistics.

6.Network Flow

  • Description: This paper studies the traffic distribution problems in the network, such as maximum flow, minimum cost flow, etc.
  • Applications: Suitable for transportation networks, supply chain logistics, telecommunication network optimization, etc.

7.Greedy Algorithm

  • Description: An algorithm that makes the best choice at each step.
  • Applications: Applicable to vehicle routing problems, loading problems, etc.

8.Simulated Annealing

  • Description: A stochastic optimization technique based on thermodynamic principles to find the global optimal solution.
  • Application: Applicable to complex path optimization, facility site selection and other problems.

9.Genetic Algorithm, GA

  • Description: A randomized search algorithm based on natural selection and genetics.
  • Applications: Suitable for multi-objective optimization, vehicle routing problems, warehouse layout, etc.

10.Load Balancing

  • Description: Technique for distributing work evenly across multiple resources.
  • Application: Suitable for warehouse management, cargo distribution in transportation, etc.

11.Queueing Theory

  • Description: Study the queue behavior in the waiting line, including the arrival process, service process, system capacity, etc.
  • Application: Suitable for service window design in logistics centers, optimization of cargo handling processes, etc.