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## Lot Sizing Problem with Equipment Replacement

Šorić, Kristina; Vojvodić-Rosenzweig, Višnja
Lot Sizing Problem with Equipment Replacement // 2nd Croatian Congress of Mathematics / Šikić, Zvonimir; Šikić, Hrvoje; Tadić, Marko (ur.).
Zagreb, 2000. str. 74-75 (predavanje, međunarodna recenzija, sažetak, znanstveni)

Naslov
Lot Sizing Problem with Equipment Replacement

Autori
Šorić, Kristina ; Vojvodić-Rosenzweig, Višnja

Sažeci sa skupova, sažetak, znanstveni

Izvornik
2nd Croatian Congress of Mathematics / Šikić, Zvonimir; Šikić, Hrvoje; Tadić, Marko - Zagreb, 2000, 74-75

Skup
2nd Croatian Congress of Mathematics

Mjesto i datum
Zagreb, Hrvatska, 15 - 17.06.2000.

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Production lot sizing problem; equipment replacement problem; lot sizing problem with equipment replacement; multicriteria mixed 0-1 integer programming

Sažetak
Each of N products is to be processed on a single machine in order to satisfy known demands in each of T periods. The object is to minimize the sum of the costs of production, storage and set-up. This problem is known as a Production Lot Sizing Problem. On the other hand, an Equipment Replacement Problem concers a machine which deteriorates with age and the decision to replace it. We assume that we must own such a machine during each of T periods and that the utility of operating a machine for one period is known quantity and depends on the age of the machine. The object is to decide when to replace the machine in order to maximize the utility of operating it. Combining these two problems, we define a new multicriteria mixed 0-1 integer programming problem called a Lot Sizing Problem with Equipment Replacement. The object is to minimize the costs and maximize the utility of operating the machine. This paper studies the properties of efficient point set for this new problem.

Izvorni jezik
Engleski

Znanstvena područja
Ekonomija