Abstract

TheNP-hard cover printing problem addressed here consists in determining the number and composition of equal size impression grids, as well as the number of times each grid is printed, in order to fulfill the demand of different book covers at minimum total printing cost. The considered costs come from printing sheets and for composing grids. Thus, to deal with this combinatorial optimization problem we investigated two heuristics: one combines simulated annealing and linear programming techniques and the other is a hybrid of Tabu Search and an ad hoc procedure. Through intensive testing on available instances, these algorithms proved to be superior to previous approaches.

Highlights

  • IntroductionCentral to the process of producing m types of equal size book covers is to print an impression grid (or press, template, master, etc.) composed of a set of t equal size plates, where some of them may be identical

  • This paper deals with a scheduling problem motivated by the printing industry

  • The aim of this paper is to propose two new heuristics to successfully approach the solution of the cover printing problem (CPP)

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Summary

Introduction

Central to the process of producing m types of equal size book covers is to print an impression grid (or press, template, master, etc.) composed of a set of t equal size plates, where some of them may be identical. To fulfill a given demand of book covers interrelated decisions must be made on the number and composition of impression grids (grids, for short) and on the amount of imprints made with each. One imprint of a grid produces one large printed sheet of paper which, once cut into t parts, yields t cover copies. The cover printing problem (CPP) consists in determining —at minimum total cost—the number and composition of grids, and the number of imprints made with each, so as to fulfill the required demand for each type of cover

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