Continuous time control of make-to-stock production systems

Simple item page
buir.advisorFadıloğlu, M. Murat
dc.contributor.authorBulut, Önder
dc.date.accessioned2016-01-08T18:12:42Z
dc.date.available2016-01-08T18:12:42Z
dc.date.issued2010
dc.departmentDepartment of Industrial Engineeringen_US
dc.descriptionAnkara : The Department of Industrial Engineering and the Institute of Engineering and Sciences of Bilkent University, 2010.en_US
dc.descriptionThesis (Ph. D.) -- Bilkent University, 2010.en_US
dc.descriptionIncludes bibliographical references leaves 117-120.en_US
dc.description.abstractWe consider the problem of production control and stock rationing in a make-tostock production system with multiple servers –parallel production channels--, and several customer classes that generate independent Poisson demands. At decision epochs, in conjunction with the stock allocation decision, the control specifies whether to increase the number of operational servers or not. Previously placed production orders cannot be cancelled. We both study the cases of exponential and Erlangian processing times and model the respective systems as M /M /s and M /Ek /s make-to-stock queues. We characterize properties of the optimal cost function, and of the optimal production and rationing policies. We show that the optimal production policy is a state-dependent base-stock policy, and the optimal rationing policy is of state-dependent threshold type. For the M /M /s model, we also prove that the optimal ordering policy transforms into a bang-bang type policy when we relax the model by allowing order cancellations. Another model with partial ordercancellation flexibility is provided to fill the gap between the no-flexibility and the full-flexibility models. Furthermore, we propose a dynamic rationing policy for the systems with uncapacitated replenishment channels, i.e., exogenous supply systems. Such systems can be modeled by letting s --the number of replenishment channels-- go to infinity. The proposed policy utilizes the information on the status of the outstanding replenishment orders. This work constitutes a significant extension of the literature in the area of control of make-to-stock queues, which considers only a single server. We consider an arbitrary number of servers that makes it possible to cover the spectrum of the cases from the single server to the infinite servers. Hence, our work achieves to analyze both the exogenous and endogenous supply leadtimes.en_US
dc.description.degreePh.D.en_US
dc.description.statementofresponsibilityBulut, Önderen_US
dc.format.extentxii, 120 leavesen_US
dc.identifier.urihttp://hdl.handle.net/11693/15061
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectInventoryen_US
dc.subjectSimulationen_US
dc.subjectOptimal Controlen_US
dc.subjectMultiple Demand Classesen_US
dc.subjectMultiple Serversen_US
dc.subjectMake-toStocken_US
dc.subjectDynamic Rationingen_US
dc.subjectStock Rationingen_US
dc.subjectProductionen_US
dc.subject.lccTS155.8 .B85 2010en_US
dc.subject.lcshProduction control.en_US
dc.subject.lcshProduction planning.en_US
dc.subject.lcshInventory control--Mathematical models.en_US
dc.subject.lcshMaterial requirements planning.en_US
dc.subject.lcshStock control.en_US
dc.subject.lcshMathematical optimization.en_US
dc.titleContinuous time control of make-to-stock production systemsen_US
dc.typeThesisen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
0004024.pdf
Size:
994.65 KB
Format:
Adobe Portable Document Format
Download
Collections
Dept. of Industrial Engineering - Ph.D. / Sc.D.