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Andrzej Jardzioch and Robert Dylewski

Abstract

One of the main tasks in the planning of production processes is to satisfy the needs of the customers in terms of quantity, quality and time. The issue of the timely execution of production orders is becoming increasingly important. Based on the conducted studies it can be concluded that the size of the delay depends on the adopted scheduling of orders. This paper focuses on the problem of implementing a scheduling of production orders that will allow to avoid delays, and in the event such a scheduling is not possible, for minimizing the sum of delays of all the orders. A new algorithm has been proposed that allows to determine of the optimal sequence of production orders with the minimum sum of delays. The considerations have been limited to the issue of a two-machine system in which the orders are carried out in a flow.

Open access

Robert Dylewski and Andrzej Jardzioch

Abstract

The article addresses the problem of determining the sequence of entering orders for production in a flexible manufacturing system implementing technological operations of cutting sheet metal. Adopting a specific ranking of production orders gives rise to the vector of delays and waste in the form of incompletely used sheets. A new method was postulated for determining the optimal sequence of orders in terms of two criteria: the total cost of delays and the amount of production waste. The examples illustrate the advantages of the proposed method compared with the popular heuristic principles.

Open access

Robert Dylewski, Andrzej Jardzioch and Irene Krebs

Abstract

In flexible manufacturing systems the most important element in determining the proper course of technological processes, transport and storage is the control and planning subsystem. The key planning task is to determine the optimal sequence of production orders. This paper proposes a new method of determining the optimal sequence of production orders in view of the sum of the costs related to the delayed execution of orders. It takes into account the different unit costs of delays of individual orders and the amount of allowable delays of orders involving no delay costs. The optimum sequence of orders, in the single-machine problem, in view of the sum of the costs of delays may be significantly different from the optimal order, taking into account the sum of delay times.

Open access

Robert Dylewski, Andrzej Jardzioch and Oliver Dworak

Abstract

The article presents a new algorithm that enables the allocation of the optimal scheduling of the production orders in the two-machine system based on the minimum cost of order delays. The formulated algorithm uses the method of branch and bounds and it is a particular generalisation of the algorithm enabling for the determination of the sequence of the production orders with the minimal sum of the delays. In order to illustrate the proposed algorithm in the best way, the article contains examples accompanied by the graphical trees of solutions. The research analysing the utility of the said algorithm was conducted. The achieved results proved the usefulness of the proposed algorithm when applied to scheduling of orders. The formulated algorithm was implemented in the Matlab programme. In addition, the studies for different sets of production orders were conducted.