Development schedule management is a pivotal aspect of complex equipment projects, and reasonable schedule planning and control measures can ensure the success of project development and timely delivery. However, the development schedule is affected and constrained by many factors, such as schedule, cost, customer requirements, etc., and these factors show a certain degree of uncertainty. To describe and solve this kind of schedule control problem, taking into account the uncertainty of variables such as schedule and cost and the degree of satisfaction of customer's quality requirements, a multivariate stochastic network-based schedule control method for complex equipment development is constructed by using theories and methods such as interval number, random networks (GERT) and optimization models. Firstly, considering the uncertainty of duration, cost and quality value, the interval number is introduced into the random network, and considering the customer's quality value demand, the multivariate random network based on the interval number is defined, and the intrinsic connection between the quality value of complex equipment and the product quality level and the development cost is analyzed, and then the quantitative expression for the product quality value is put forward. Then, in view of the interaction effect among schedule, cost and quality value, a multi-objective optimization model of schedule-cost-quality value for complex equipment development is constructed, and a solution strategy is designed by using the multi-objective genetic algorithm (NSGA-II). Finally, the validity and reasonableness of the model are fully verified by actual cases.