A three stage production system is considered in this paper. There are two stages to fabricate and ready the parts and an assembly stage to assembly the parts and complete the products in this system. Suppose that a number of products of different kinds are ordered. Each product is assembled with a set of several parts. At first the parts are produced in the first stage with parallel machines a...

Visualizing the search behavior of a series points or populations in their native domain is critical understanding biases and attractors an optimization process. Distance-based many-objective test problems have been developed to facilitate visualization 2-D design space with arbitrarily many objective functions. Previous works proposed few commonly seen problem characteristics into this framewo...

The problem of scheduling is an area that has attracted a lot attention from researchers for many years. Its goal to optimize resources in the system. lecturer’s assigning task example timetabling problem, class scheduling. This study introduces mathematical model assign constrained tasks (the time and required skills) university lecturers. Our capable generating calendar maximizes faculty expe...

In this paper, we investigate the bi-objective multiperiod one-dimensional cutting stock problem that seeks to minimize cost of production associated with total length cut objects (waste) and inventory costs related items. A mathematical model is presented heuristically solved by a column generation method. Computational tests were performed using Weighted Sum method, ε-Constraint method variat...

In this paper, a cubic objective programming problem (COPP) is defined. Introduced new modification to solve problem. Suggested an algorithm for its solution. Also reported the of usual simplex method. Application talks about how developed can be used unravel non-linear. The proposed technique, with constructed numerical examples illustrative problems are given demonstrate algorithms.