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A multi-level decision making model for supplier selection problem in a fuzzy situation

Adhami A. Y., Muneeb S. M., Nomani M. A.

Operations Research and Decisions

2017

Vol. 27, No. 4

5--26

Supplier selection plays a vital role in evolving an effective supply chain and the overall performance of organisations. Choosing suppliers may involve different levels arranged in a hierarchical structure. Decisions are made successively starting from the first level to the last level. Decision variables are partitioned between different levels and are called controlling factors. In the paper, we propose a multilevel supplier selection problem with uncertain or fuzzy demand and supply. Since objectives may be conflicting in nature, possible relaxations in the form of tolerances are provided by the upper level decision makers to avoid decision deadlocks. We use (linear) membership functions to fuzzily describe objective functions, as well as the controlling factors, and generate satisfactory solutions. We extend and present an approach to solving multilevel decision making problems when fuzzy constraints are employed. Different scenarios are constructed within a numerical illustration, based on the selection of controlling factors by the upper level decision makers.

Algorithms of Furnace Charge Burden Optimisation in Foundries

Ziółkowski E.

Archives of Metallurgy and Materials

2007

Vol. 52, iss. 3

487-495

This article describes the methods helpful in choosing an optimum charge burden for foundry furnaces with classification of those techniques which can be useful in respective calculations. A basic part of all methods are mathematical models describing various situations which can happen in the technological process when charge burden is calculated. The primary parameter in all models is the chemical composition of charge constituents, which can be defined in either deterministic or fuzzy form. The secondary parameter adopted in calculations are the currently used unit prices of charge materials. The analysis and synthesis of the methods of charge calculation is completed with an example where the optimisation task of charge burden calculation has been solved using as a tool the author’s own computer program.

W artykule przedstawiono metodykę doboru optymalnego namiaru wsadu dla pieców odlewniczych wraz z klasyfikacja metod mogących mieć zastosowanie w obliczeniach. Integralna częścią metod są modele matematyczne ujmujące możliwe sytuacje w procesie technologicznym namiarowania wsadu. Parametrem podstawowym w poszczególnych modelach jest skład chemiczny składników, który może być zdefiniowany w postaci deterministycznej lub rozmytej. Parametrami drugorzędnymi, jakie przyjęto do obliczeń, są ceny jednostkowe zakupu materiałów wsadowych. Dopełnieniem analizy i syntezy metodyki wyznaczania namiaru jest przykład obliczeniowy, w którym zadanie optymalizacji rozwiązano, stosując autorski program komputerowy.