Modified Finance-Based Scheduling with Activity Splitting

Construction contractors often rely on external funding to manage financial deficits caused by irregular cash inflows and outflows. To address these cash flow challenges, contractors typically adjust the start times of project activities to prevent shortages while minimizing the overall project dura...

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Main Authors: Sameh Al-Shihabi, Ashraf Elazouni
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/13/1/139
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author Sameh Al-Shihabi
Ashraf Elazouni
author_facet Sameh Al-Shihabi
Ashraf Elazouni
author_sort Sameh Al-Shihabi
collection DOAJ
description Construction contractors often rely on external funding to manage financial deficits caused by irregular cash inflows and outflows. To address these cash flow challenges, contractors typically adjust the start times of project activities to prevent shortages while minimizing the overall project duration. However, in severe cases, operations may need to halt if cash flow issues cannot be adequately resolved. This study introduces an alternative strategy to prevent cash shortages by allowing for the temporary suspension of activities, known as activity splitting. In this approach, operations are paused to conserve cash and then resumed when sufficient funds become available. The potential benefit of this method is illustrated through a simple, four-activity project. Extending the application to more complex projects with a set of splittable activities—each having different cash requirements, durations, and associated splitting costs—the challenge lies in identifying the optimal activities to split and determining the precise suspension and resumption times, all while minimizing or avoiding project delays and additional costs. To address this, we present a novel mixed-integer linear programming (MILP) model that optimizes the scheduling and splitting of activities to minimize project duration without breaching financial constraints. The MILP model effectively identifies the best trade-off between activity splitting and project extension, taking into account the financial and cost implications of the contractor’s constraints. This is demonstrated through a case study that considers different scenarios related to splitting costs and financial limitations.
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spelling doaj-art-fca6eecec52940959a747fce904a47b32025-01-10T13:18:22ZengMDPI AGMathematics2227-73902025-01-0113113910.3390/math13010139Modified Finance-Based Scheduling with Activity SplittingSameh Al-Shihabi0Ashraf Elazouni1Industrial Engineering and Engineering Management Department, University of Sharjah, Sharjah P.O. Box 27272, United Arab EmiratesDepartment of Civil and Architectural Engineering, College of Engineering, Sultan Qaboos University, Al Khoud, Muscat 123, OmanConstruction contractors often rely on external funding to manage financial deficits caused by irregular cash inflows and outflows. To address these cash flow challenges, contractors typically adjust the start times of project activities to prevent shortages while minimizing the overall project duration. However, in severe cases, operations may need to halt if cash flow issues cannot be adequately resolved. This study introduces an alternative strategy to prevent cash shortages by allowing for the temporary suspension of activities, known as activity splitting. In this approach, operations are paused to conserve cash and then resumed when sufficient funds become available. The potential benefit of this method is illustrated through a simple, four-activity project. Extending the application to more complex projects with a set of splittable activities—each having different cash requirements, durations, and associated splitting costs—the challenge lies in identifying the optimal activities to split and determining the precise suspension and resumption times, all while minimizing or avoiding project delays and additional costs. To address this, we present a novel mixed-integer linear programming (MILP) model that optimizes the scheduling and splitting of activities to minimize project duration without breaching financial constraints. The MILP model effectively identifies the best trade-off between activity splitting and project extension, taking into account the financial and cost implications of the contractor’s constraints. This is demonstrated through a case study that considers different scenarios related to splitting costs and financial limitations.https://www.mdpi.com/2227-7390/13/1/139project schedulingactivity splittingmixed-integer linear programmingfinance-based schedulingcontractor
spellingShingle Sameh Al-Shihabi
Ashraf Elazouni
Modified Finance-Based Scheduling with Activity Splitting
Mathematics
project scheduling
activity splitting
mixed-integer linear programming
finance-based scheduling
contractor
title Modified Finance-Based Scheduling with Activity Splitting
title_full Modified Finance-Based Scheduling with Activity Splitting
title_fullStr Modified Finance-Based Scheduling with Activity Splitting
title_full_unstemmed Modified Finance-Based Scheduling with Activity Splitting
title_short Modified Finance-Based Scheduling with Activity Splitting
title_sort modified finance based scheduling with activity splitting
topic project scheduling
activity splitting
mixed-integer linear programming
finance-based scheduling
contractor
url https://www.mdpi.com/2227-7390/13/1/139
work_keys_str_mv AT samehalshihabi modifiedfinancebasedschedulingwithactivitysplitting
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