Abstract
With the development of logistics, the delayed distribution problem based on a compensation mechanism has appeared. The core of this problem is to decide whether to delay the distribution at the beginning of each stage and how to compensate the customers if delay occurs. In this paper, beginning with the 2 and 3-stage delay distribution problem, the characteristics and computational complexity of the model are analyzed, and a formal model description of the n-stage problem is given. The expected value and variance are used as the centralized quantization description strategy for random variables, and the expected value model and the generalized expectation value model for solving the delay distribution problem are given. The solution algorithm is given, and the dependence of the single transport cost of each transport vehicle and the penalty for each car delay in a period-of-time distribution are analyzed. Combined with specific examples, theoretical analysis and example calculations show that the formal description model is a good platform for further combinations of solution methods. This method extends the general delayed distribution problem to multi-stage delayed distribution, which has guiding significance for decision-makers. The proposed model has solid system structure features and interpretability, and could be used in a wide variety of applications.
Highlights
Together with the reform and opening up policies in China, “the third profit source”in enterprise logistics has become increasingly important for economic activity
Delayed delivery is a common problem in vehicle logistics, which leads to a decline in customer satisfaction and affects secondary consumption, and at the same time makes the relationship between customers and logistics enterprises tense, which is not conducive to the long-term development of logistics enterprises
We consider a class of the n-stage delay distribution problem based on the compensation mechanism in a random environment
Summary
Together with the reform and opening up policies in China, “the third profit source”. Wang et al [24] proposed the two-stage delay distribution method based on a compensation mechanism under a random environment. Is the cost function of choosing delayed delivery in the first stage It is a random variable function and continuous. Is the cost function of choosing delayed delivery in the second stage The relevant regulations are as follows: (1) Set up n delivery days in each order cycle, that is, n time nodes; (2) All orders must be delivered within the order period; (3) If the number of orders on the current delivery day does not meet the conditions of full-load transportation, you can choose to postpone the delivery to the delivery day, but delayed delivery requires a certain delivery penalty. We make the following assumptions: If the order quantity does not meet the condition of full-load distribution, the distribution can be delayed; otherwise, the distribution cannot be delayed
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