Abstract

The multicriteria mathematical model of foundry production capacity planning is suggested in the paper. The model is produced in terms of pseudo-Boolean optimization theory. Different search optimization methods were used to solve the obtained problem.

Highlights

  • The most orders are irregular, i.e. they cannot be planned beforehand but they are enough profitable for the enterprise

  • It is necessary to consider time of equipment revamping for small serial order since it take significantly more part of execution time in mass serial production

  • Algorithms that have been designed and investigated in the area of unconstrained pseudo-Boolean optimization are applied successfully for solving various problems. These are local optimization methods [1, 2] and stochastic and regular algorithms based on local search for special function classes [3,4,5,6]

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Summary

Introduction

The most orders are irregular, i.e. they cannot be planned beforehand but they are enough profitable for the enterprise It requires solving production scheduling problems many times in casual points of time. Construction of production capacity program for industrial enterprise and its subdivisions is laborious and logically intricate problem Consider it by the example of foundry practice. Algorithms that have been designed and investigated in the area of unconstrained pseudo-Boolean optimization are applied successfully for solving various problems. These are local optimization methods [1, 2] and stochastic and regular algorithms based on local search for special function classes [3,4,5,6]. An unimodal function f is called monotonic on B2n if X k Ok (X *), k 1, n : f ( X k 1) f ( X k ), X k 1 Ok 1( X *) O1( X k )

Problem Statement Consider the problem of the following form
Transfer to Unconstrained Optimization
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