The decision-making process is the most important topics of
operations research, which offers methods and tools to assist
decision makers in reaching resolution.
Research overture applied and analytic study for decision making
state in production
workshops whose belong estimation of optimal production size and overture mathematical model for production plan by dependence on Input – Output table for constraint production size in every workshop and coordination between internal demand, market, and production plan for solve recession problem and estimation of plan profits.
Research eventuates to results overture Input – Output table model practicable in any production unit.
Operational research science aims to find the optimal solution
to many problems in various life domains. One of the most famous
is the network analysis. Problem. In this paper we introduce an
effective algorithm with linear time O ( n + k ) within it all network
activities are executed within determined period and with a
minimum cost.
This work deals with a new method for solving Integer Linear Programming Problems depending on a previous methods for solving these problems, such that Branch and Bound method and Cutting Planes method where this new method is a combination between t
hem and we called it Cut and Branch method. The reasons which led to this combination between Cutting Planes method and Branch and Bound method are to defeat from the drawbacks of both methods and especially the big number of iterations and the long time for the solving and getting of a results between the results of these methods where the Cut and Branch method took the good properties from the both methods. And this work deals with solving a one problem of Integer Linear Programming Problems by Branch and Bound method and Cutting Planes method and the new method, and we made a programs on the computer for solving ten problems of Integer Linear Programming Problems by these methods then we got a good results and by that, the new method (Cut and Branch) became a good method for solving Integer Linear Programming Problems. The combination method which we doing in this research opened a big and wide field in solving Integer Linear Programming Problems and finding the best solutions for them where we did the combination method again between the new method (Cut and Branch) and the Cutting Planes method then we got a new method with a very good results and solutions.
