Formulation and Solution of Nonlinear Integer Production Planning Problems for Flexible Manufacturing Systems

Article Abstract:

Fifty per cent of United States annual expenditures on manufacturing is metal working and two-thirds of that is cutting. Seventy-five per cent of metal-worked products are made in batches of less than fifty parts. Batch manufacturing has received little attention. The flexible manufacturing system (FMS) is a technology designed for small-batch manufacturing. A FMS is an integrated, computer-controlled complex of automated material handling devices and numerically controlled machine tools that can simultaneously process medium-sized volumes of a variety of parts. Five production planning problems must be solved. The grouping and loading problems are solved.

Management science, Manufacturing, Production control, Heuristic programming, Production, Nonlinear Programming, Operations Research, Theory, Metal Industries, Integer Programming, Scheduling Applications

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An integer nonlinear goal programming model for the development of state highway patrol units

Article Abstract:

Models developed for deploying police forces are most often designed for application by city patrols. But city police respond to crimes reported, whereas highway police must develop a more visible presence in order to discourage traffic law infractions, so most models developed for police deployment are not applicable to highway patrol forces. Consequently, a mathematical model for optimizing highway patrol deployment is developed. The model employs nonlinear programming and goal constraints that reflect the proactive stance of the patrolmen.

Management, Case studies, Police administration, Police departments, Traffic engineering, Traffic police

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Branch and bound experiments in convex nonlinear integer programming

Article Abstract:

A branch and bound model comprised of 27 strategies can be employed to solve convex nonlinear integer programming problems. Variables such as pseudo-costs and estimations are factored into parameter determinations. The resulting algorithm can also be used to solve some nonconvex problems.

Research, Computer programming, Business planning, Statistics, Statistics (Data), Branch and bound algorithms

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