Algebraic solution of optimal scheduling problems subject to due dates for start time of project jobs

A direct solution is proposed for problems of drawing up the optimal schedule jobs in a project based on using models and methods tropical optimization. The development an plan are reduced to optimization, which consist minimizing objective function under given strict constraints start finish time jobs. As optimality criteria maximum deviation from due dates taken, needs be minimized. Strict form precedence relations bounds times Such tasks arise if it necessary one reason or another (for example, technological limitations safety requirements) at specified time. In article functions first described terms ordinary mathematics then considered sheduling set. Elements discussed presentation form. Then formulated idempotent problem Solution presented explicit analytical form, well suited both formal analysis numerical computations. An explanatory example provided end article.