Abstract
Now the information system of the iron and steel industry is a typical sensor cloud computing system. The system has accumulated a lot of relevant manufacturing data. Using these data can well solve the slab storage problem in the production process for the iron and steel industry. In this paper, we investigate a queueing system where customers arrive according to a Markov Modulated Poisson Process (MMPP). MMPP can describe how the arrival rate changes with the environment, which is more realistic. We develop an MMPP(3)/M/C queueing model to solve the congestion problem in the iron and steel industry. In the actual production process, the slab arrival rates vary with states, therefore MMPP is used to model the arrival process in this paper. Based on explicit performance measures, we develop a nonlinear optimization model of queueing system, and convert the model into a convex optimization problem. Through the convex optimization method, the MMPP(3)/M/C model, resulted from the practical system, can be analyzed by the M/M/C model approximately.
Highlights
The iron and steel industry collects the data of production and transportation through wireless sensors in the machine shop
This paper focuses on the optimization problem of slab storage in the iron and steel industry of China
The minimum value of arrival rate is 20; the maximum service rate of each crane is 99; the maximum time that slabs stay in the queueing system (Wmax) is 1.8; the maximum time that slabs waited for storage (Wmqax) is 1.5; the maximum queue length (Lmq ax) is 36
Summary
The iron and steel industry collects the data of production and transportation through wireless sensors in the machine shop. Managers can read relevant data from the database through the system and optimize it This can reduce the company’s operating costs and improve production efficiency [1]. It is very important to determine a reasonable optimal arrival rate and service rate in slab storage process. This can make the performance of the queueing system optimal. In the actual production process, the arrival rate of slab varies with steel grade. Sometimes there is a situation of ‘‘two slabs by one crane’’, i.e., one crane can pick up two slabs at the same time, but this situation is rare in actual production. This article analyses the general situation, i.e., ‘‘one slab by one crane’’
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