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Title:Mixed-integer nonlinear programming based optimal time scheduling of construction projects under nonconvex costs
Authors:ID Cajzek, Rok (Author)
ID Klanšek, Uroš (Author)
Files:.pdf Tehnicki_vjesnik_2016_Cajzek,_Klansek_Mixed-integer_nonlinear_programming_based_optimal_time_scheduling_of_construction_projects_under_n.pdf (807,33 KB)
MD5: 1178B14F8570D6903AD13F3C93FBCFB7
PID: 20.500.12556/dkum/41ed34b3-6827-48a2-8b97-a5d490220bff
 
URL http://hrcak.srce.hr/153150
 
Language:English
Work type:Scientific work
Typology:1.01 - Original Scientific Article
Organization:FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
Abstract:Optimal project scheduling under nonconvex time-cost relations represents a challenging problem in construction management. The nonconvex time-cost relations may appear in a construction project when several different duration options are available for its activities due to alternative technological processes enabled for their realization or wide accessibility of production resources. The source of nonconvexity of the project scheduling optimization problem can also be the project penalty- or bonus-duration relations arranged within the construction contract. The aim of this paper is to present the mixed-integer nonlinear programming (MINLP) based optimal time scheduling of construction projects under nonconvex costs. For this purpose, the MINLP model was developed and applied. A numerical example from literature and an example of construction project time-cost trade-off analysis under practical nonconvex penalty function are given in the paper to demonstrate advantages of MINLP optimization. The example from literature first presented the capability of the MINLP approach to obtain the optimal solution for difficult, highly combinatorial nonconvex discrete project scheduling problem. Thereupon, the following example revealed that the optimal project time-cost curve may take very nonuniform shape on account of discrete nature of activity direct cost options and nonconvex relation between project duration and total cost. In this way, the presented study intends to provide practitioners with new information from the field of optimization techniques for project scheduling as well as an alternative view on performance of total cost when project duration is changed.
Keywords:extreme environments, construction management, discrete optimization, mixed-integer nonlinear programming, nonconvex costs, time scheduling
Publication status:Published
Publication version:Version of Record
Year of publishing:2016
Number of pages:str. 9-18
Numbering:Letn. 23, št. 1
PID:20.500.12556/DKUM-66820 New window
ISSN:1330-3651
UDC:624.07:519.853
ISSN on article:1330-3651
COBISS.SI-ID:19354390 New window
DOI:10.17559/TV-20140108112928 New window
NUK URN:URN:SI:UM:DK:TQ8CMC1L
Publication date in DKUM:12.07.2017
Views:1511
Downloads:406
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Categories:Misc.
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Record is a part of a journal

Title:Tehnički vjesnik : znanstveno-stručni časopis tehničkih fakulteta Sveučilišta u Osijeku
Shortened title:Teh. vjesn. - Stroj. fak.
Publisher:Strojarski fakultet, Elektrotehnički fakultet, Građevinski fakultet
ISSN:1330-3651
COBISS.SI-ID:15346181 New window

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:12.07.2017

Secondary language

Language:Croatian
Title:Optimalno terminsko planiranje građevinskih projekata s nekonveksnim troškovima pomoću mješovitog cjelobrojnog nelinearnog programiranja
Abstract:Optimalno terminsko planiranje projekata s nekonveksnim troškovima predstavlja zahtjevan problem u organizaciji građenja. Nekonveksni odnosi između vremena i troškova mogu nastupiti u građevinskom projektu kada su na raspolaganju različite varijante za trajanje njegovih aktivnosti zbog mogućnosti izbora različitih tehnoloških procesa za izvođenje radova ili široke pristupačnosti proizvodnih resursa. Izvor nekonveksnosti problema troškovne optimizacije terminskog plana je moguće naći i u dogovorenom odnosu između trajanja projekta te penala ili premije iz ugovora o građenju. Cilj ovoga rada je predstaviti optimalno terminsko planiranje projekata s nekonveksnim troškovima pomoću mješovitog cjelobrojnog nelinearnog programiranja. U tu svrhu je razvijen i primijenjen optimizacijski model. Za prikaz prednosti optimizacije s mješovitim cjelobrojnim nelinearnim programiranjem su u radu predstavljeni uporaba razvijenog modela na primjeru iz literature i primjer analize ovisnosti ukupnih troškova građevinskog projekta o dužini njegovoga trajanja uzimajući u obzir praktičnu nekonveksnu funkciju penala. Primjer iz literature je najprije prikazao sposobnost pristupa mješovitog cjelobrojnog nelinearnog programiranja da pronađe optimalno rješenje za zahtjevan, vrlo kombinatoričan, nekonveksan i diskretan problem planiranja projekta. Sljedeći primjer je zatim u nastavku pokazao, da optimalna krivulja ovisnosti ukupnih troškova projekta od njegova trajanja može imati veoma neujednačen oblik zbog utjecaja diskretno definiranih direktnih troškova za varijante izvođenja aktivnosti te nekonveksnog odnosa između trajanja projekta i ukupnih troškova. Predstavljeni rad na ovaj način namjerava praktičarima ponuditi nove informacije s područja optimizacijskih tehnika za planiranje projekata kao i jedan drugačiji pogled na ponašanje ukupnih troškova projekta kada se njegovo trajanje promijeni.
Keywords:ekstremna okolja, upravljanje gradbenih projektov, diskretna optimizacija, mešano celoštevilsko nelinearno programiranje, stroški, terminski plan


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