Multiple criteria construction management decisions considering relations between criteria

Abstract

Decision making in construction management has been always complicated especially if there were more than one criterion under consideration. Multiple criteria decision making (MCDM) has been often applied for complex decisions in construction when a lot of criteria were involved. Traditional MCDM methods, however, operate with independent and conflicting criteria. While in every day problems a decision maker often faces interactive and interrelated criteria. Accordingly, the need of improving and supplementing the methodology of compromise decisions arose. It was proposed to supplement TOPSIS (Technique for the Order Preference by Similarity to Ideal Solution) method and integrate the Mahalanobis distance in the usual algorythm of TOPSIS. Mahalanobis distance measure offered an option to take the correlations between the criteria into considerations while making the decision. A case study of building redevelopment in Lithuanian rural areas was presented that demonstrated the application of the proposed methodology. The case study proved that the proposed TOPSIS‐M (TOPSIS applying Mahalanobis distance measure) method could have substantial influence in carrying the proper decision.

Santrauka

Statybos valdymo spendimu priemimas visuomet yra komplikuotas, ypač jei turime atsižvelgti i daugeli rodikliu. Kompleksiniams statybos sprendimams, kurie apibūdinami daugeliu rodikliu, taikomi daugiatiksliai sprendimu priemimo metodai (MCDM ‐ Multiple Criteria Decision Making). Šie metodai skirti sprendimams priimti tuomet, kai vertinami konfliktuojantys bei nepriklausomi rodikliai. Tačiau realiose situacijose, priešingai, nuolat susiduriame su saveikaujančiais ir tarpusavio priklausomybe turinčiais rodikliais. Del šios priežasties kyla poreikis patobulinti sprendimu metodologija. Straipsnyje siūloma papildyti variantu racionalumo nustatymo metoda TOPSIS (Technique for the Order Preference by Similarity to Ideal Solution), taikant Mahalanobio metoda atstumams nustatyti. Mahalanobio atstumu nustatymo metodas suteikia galimybe ivertinti koreliacines rodikliu priklausomybes priimant daugiatiksli sprendima. Siūlomos metodologijos taikymas iliustruojamas sprendžiant apleistu pastatu Lietuvos kaimo vietovese racionalaus sutvarkymo uždavini. Pateiktas pavyzdys patvirtina, kad TOPSIS‐M metodo (t. y. TOPSIS naudojant Mahalanobio atstuma) taikymas gali tureti esmine itaka priimant sprendima.

Keywords:

• construction management
• MCDM
• TOPSIS
• TOPSIS‐M
• criteria
• correlation
• covariance
• Euclidean distance
• Mahalanobis distance

Reikšminiai žodžiai:

• statybos valdymas
• MCDM
• TOPSIS
• TOPSIS‐M
• rodikliai
• koreliacija
• kovariacija
• Euklido atstumas
• Mahalanobio atstumas