Belirsizlik altında kaynak kısıtlı çok modlu çoklu proje çizelgeleme

Year 2021, Volume: 5 Issue: 1, 598 - 614, 30.06.2021

Serdar Soysal , Berna Dengiz , Kumru Atalay

Abstract

Bu makalede, faaliyet sürelerinin stokastik olması durumunda, kaynak kısıtlı çok modlu çoklu proje çizelgeleme problemi (KKÇMÇPÇP) ele alınmaktadır. Problemin amacı, öncüllük ilişkileri ve kaynak kısıtlarına bağlı olarak tüm projelere göre toplam ağırlıklı gecikmeyi en aza indirmektir. Ele alınan problem, sınırlı yenilenebilir ve yenilenemez kaynaklar ve faaliyetler için tanımlı, farklı zaman-kaynak kullanım alternatiflerini gösteren modları içerir. Bu çalışmada kaynakların paylaşılarak her bir projeye tahsis edilmesini benimseyen ve kaynak tahsis politikası olarak isimlendirilen, kaynak yönetim politikası kullanılmıştır. Problem, şans kısıtlı programlama (ŞKP) modeli olarak formüle edilmiştir. Çözüm yaklaşımının etkinliği, test problemleri üzerinde yapılan sayısal analizler ile gösterilmiştir.

Keywords

çok modlu, Çoklu proje çizelgeleme, Kaynak tahsisi, Şans kısıtlı programlama, Stokastik faaliyet süreleri

Multi-mode resource constrained multi-project scheduling under uncertainty

Abstract

This paper considers the multi-mode resource constrained multi-project scheduling problem (MMRCMPSP) with stochastic activity times. The objective of the problem is to minimize the total weighted tardiness for all projects, subject to precedence and resource constraints. The problem involves limited renewable and non-renewable resources and different modes which state different time-resource alternatives for activities. Resource dedication policy is used as a resource management policy, that resources are dedicated to each project. In this study, the problem is formulated as a chance constrained programming (CCP) model. The effectiveness of the solution approach is demonstrated by computational analyses on a set of test problems.

Keywords

Multi-mode, Multi-project scheduling, Resource dedication, Chance-constrained programming, Stochastic activity duration

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