Modelling of Tofu Production System with Queuing Theory Approach Isti Purwaningsih*, Retno Astuti, Dimas Tri Atmojo
Department of Agroindustrial Technology, Faculty of Agricultural Technology, Universitas Brawijaya,
Jl. Veteran, Malang 65145, Indonesia
Email: ipurwaningsih[at]ub.ac.id
Abstract
The Grogol Tofu Factory in Jombang Regency faces operational obstacles such as piling up queues, long waiting times, and variations in service quality. This research models a tofu processing system using the queuing method to analyze the performance and costs of the queuing system, as well as the effectiveness of the processing process. The modeled queuing system is divided into two major stages, namely the initial stage and the advanced stage. The model used is multi channel-single phase (M/M/3): (FIFO/9/~) in the initial stage and single channel-single phase (M / M / 1): (FIFO/9/~) in advanced stage. In the initial stage, the arrival rate was 1,612 tofu craftsmen per hour with an average service time of 0,620 craftsmen per hour per line. In the advanced stage, the arrival rate is 0.440 craftsmen per hour with a service time of 0.758 craftsmen per hour per line. The level of facility usage is 0.857 in the initial stage and 0.580 in the advanced stage, with a queue fee of Rp. 409,069,330/hour and Rp. 132,116,681/hour. Recommendations for improvement include adding facilities and workforce lines, machine automation, and scheduling the arrival of tofu craftsmen. The addition of facility lines in the initial stage to five facilities is the most optimal alternative, while the advanced stage continues to use three facilities. It is hoped that improving this system can reduce queue build-up and increase the effectiveness of factory operations. This research faces limitations in recording data on start and finish time variables at each stage of the tofu processing process in detail in each line, and tofu craftsmen cannot move to another line when processing at the next stage.
Keywords: Optimization, Production Process, Tofu Factory, Queue Model
Topic: Agro-industrial system management and regulation
