optimizing and solving project scheduling problem for flexible networks with multiple routes in production environments

In production environments, multi-route resource-constrained project scheduling problem (rcpsp) is more complex and consists of two types of flexible and fixed parts. the flexible parts comprise the semi-finished products and each part has multiple routes denoted independently with activities and predictive relationships. this research develops a new mixed‐integer nonlinear programming (minlp) model to minimize the makespan. the proposed mathematical model identifies the optimal routes and, consequently, determines the optimal project network. also, it allocates renewable resources to each production activity. production sequencing of activities is optimized by the proposed model. a new hybrid approach by regarding ga and pso in a binary solving space is introduced to handle two main sub-problems of rcpsp-mr in production environments, namely route selection and production scheduling. to evaluate the presented optimization model and algorithm, 60 test problems in various sizes are reported in detail.