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Dynamic Scheduling Of A Multiclass Make To Stock Queue
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Book Synopsis Dynamic Scheduling of a Multiclass Make-to-Stock Queue (Classic Reprint) by : Lawrence M. Wein
Download or read book Dynamic Scheduling of a Multiclass Make-to-Stock Queue (Classic Reprint) written by Lawrence M. Wein and published by Forgotten Books. This book was released on 2018-02-23 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Dynamic Scheduling of a Multiclass Make-to-Stock Queue The goal of this paper is to investigate the scheduling problem faced by a single machine, make-to - stock production facility in a dynamic stochastic environment. This facility is pictured in Figure 1, where it is assumed that there is an ample amount of raw material inventory of product k, for k 1, K. The scheduler decides when to release a raw product k job onto the shop floor, at which time the job becomes a unit of product k work-in-process (wip) inventory. These decisions will be referred to as release decisions. There is a single machine that transforms units of product k wip inventory into units of product k finished goods inventory. The machine is modeled as a multiclass queue, in that the machine may work on only one unit at a time, and each product has its own general processing time distribution. Demand for each product can be any arbitrary point process that satisfies a functional central limit theorem (for example, a compound Poisson process). About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Book Synopsis Dynamic Scheduling of a Multiclass Make-to-stock Queue by : Lawrence M. Wein
Download or read book Dynamic Scheduling of a Multiclass Make-to-stock Queue written by Lawrence M. Wein and published by . This book was released on 1990 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamic Pricing of a Multiclass Make-to-Stock Queue by : Baris Ata
Download or read book Dynamic Pricing of a Multiclass Make-to-Stock Queue written by Baris Ata and published by . This book was released on 2020 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a make-to-stock manufacturing system selling multiple products to price-sensitive customers. The system manager seeks to maximize the long-run average profit by making dynamic pricing, outsourcing, and scheduling decisions: First, she adjusts prices dynamically depending on the system state. Second, when the backlog of work is judged excessive, she may outsource (or reject) new orders thereby incurring outsourcing costs. Third, she decides dynamically on which product to prioritize in the manufacturing process, i.e., she makes dynamic scheduling decisions. This problem appears analytically intractable. Thus, we resort to an approximate analysis in the heavy-traffic regime and consider the resulting Brownian control problem. We solve this problem explicitly by exploiting the solution to a particular Riccati equation. The optimal solution to the Brownian control problem is a two-sided barrier policy with drift rate control: Outsourcing and idling processes are used to keep the workload process above the lower reflecting barrier and below the upper reflecting barrier, respectively. Between the two barriers, a state-dependent drift rate is used to control the workload process. By interpreting this solution in the context of the original model, we propose a joint dynamic pricing, outsourcing, and scheduling policy, and demonstrate its effectiveness through a simulation study.
Book Synopsis Dynamic Scheduling of a Multi-class Queue II: Discount Optimal Dynamic Policies by : Stanford University. Department of Operations Research
Download or read book Dynamic Scheduling of a Multi-class Queue II: Discount Optimal Dynamic Policies written by Stanford University. Department of Operations Research and published by . This book was released on 1972 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author continues the study of the dynamic scheduling problem introduced and formulated in the paper's predecessor. The positive interest rate is considered fixed throughout. It is shown that there exists a static optimal policy, and the corresponding optimal priority ranking is exhibited. Broadening the formulation to allow inserted idel time, it is shown that the previous optimal policy need be changed only be refusing to serve (under any circumstances) a certain number of the lowest priority classes. (Author).
Book Synopsis DYNAMIC SCHEDULING OF A MULTI-CLASS QUEUE by : J. Michael Harrison
Download or read book DYNAMIC SCHEDULING OF A MULTI-CLASS QUEUE written by J. Michael Harrison and published by . This book was released on 1974 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Dynamic Scheduling Policy for a Make-to-stock Production System by : Albert Y. Ha
Download or read book Optimal Dynamic Scheduling Policy for a Make-to-stock Production System written by Albert Y. Ha and published by . This book was released on 1993 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamic Scheduling of a Multi-Class Queue: Discount Optimality by : J. Michael Harrison
Download or read book Dynamic Scheduling of a Multi-Class Queue: Discount Optimality written by J. Michael Harrison and published by . This book was released on 1974 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author considers a single server queueing system with several classes of customers who arrive according to independent Poisson processes. The service time distributions are arbitrary, and a linear cost structure is assumed. The problem is to decide, at the completion of each service and given the state of system, which class (if any) to admit next into service. The objective is to maximize the expected net present value of service rewards received minus holding costs incurred over an infinite planning horizon, the interest rate being positive. One very special type of scheduling rule, called a modified static policy, simply enforces a (non-preemptive) priority ranking except that certain classes are never served. It is shown that there is a modified static policy which is optimal, and a simple algorithm for its computation is presented. (Modified author abstract).
Book Synopsis Optimal Control and Optimization of Stochastic Supply Chain Systems by : Dong-Ping Song
Download or read book Optimal Control and Optimization of Stochastic Supply Chain Systems written by Dong-Ping Song and published by Springer Science & Business Media. This book was released on 2012-11-29 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Control and Optimization of Stochastic Supply Chain Systems examines its subject the context of the presence of a variety of uncertainties. Numerous examples with intuitive illustrations and tables are provided, to demonstrate the structural characteristics of the optimal control policies in various stochastic supply chains and to show how to make use of these characteristics to construct easy-to-operate sub-optimal policies. In Part I, a general introduction to stochastic supply chain systems is provided. Analytical models for various stochastic supply chain systems are formulated and analysed in Part II. In Part III the structural knowledge of the optimal control policies obtained in Part II is utilized to construct easy-to-operate sub-optimal control policies for various stochastic supply chain systems accordingly. Finally, Part IV discusses the optimisation of threshold-type control policies and their robustness. A key feature of the book is its tying together of the complex analytical models produced by the requirements of operational practice, and the simple solutions needed for implementation. The analytical models and theoretical analysis propounded in this monograph will be of benefit to academic researchers and graduate students looking at logistics and supply chain management from standpoints in operations research or industrial, manufacturing, or control engineering. The practical tools and solutions and the qualitative insights into the ideas underlying functional supply chain systems will be of similar use to readers from more industrially-based backgrounds.
Book Synopsis Dynamic Scheduling of a Multi-class Queue I: Problem Formulation and Descriptive Results by : Stanford University. Department of Operations Research
Download or read book Dynamic Scheduling of a Multi-class Queue I: Problem Formulation and Descriptive Results written by Stanford University. Department of Operations Research and published by . This book was released on 1972 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author considers an M/G/1 queue with several customer classes. It is not required that the queue be stable or even that the mean service time be finite for any class. The economic framework is linear, featuring a holding cost per unit time and fixed service reward for each class. Future costs and rewards are continuously discounted using a positive interest rate. The problem is to decide, at the completion of each service and given the state of the system, which class to admit next. The objective is to maximize expected net present value over an infinite planning horizon. The problem is formulated as a Markov renewal decision process. One very special type of scheduling rule, called a static policy, simply enforces a specified priority ranking. The return function under a static policy is explicity presented. In a subsequent paper it will be shown that there exists a static optimal policy. (Author).
Book Synopsis Analysis and Modeling of Manufacturing Systems by : Stanley B. Gershwin
Download or read book Analysis and Modeling of Manufacturing Systems written by Stanley B. Gershwin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis and Modeling of Manufacturing Systems is a set of papers on some of the newest research and applications of mathematical and computational techniques to manufacturing systems and supply chains. These papers deal with fundamental questions (how to predict factory performance: how to operate production systems) and explicitly treat the stochastic nature of failures, operation times, demand, and other important events. Analysis and Modeling of Manufacturing Systems will be of interest to readers with a strong background in operations research, including researchers and mathematically sophisticated practitioners.
Book Synopsis Further Results for Dynamic Scheduling of Multiclass G/G/1 Queues by : Tesuji Hirayama
Download or read book Further Results for Dynamic Scheduling of Multiclass G/G/1 Queues written by Tesuji Hirayama and published by . This book was released on 1988 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis ON THE SERVICE MODELS FOR DYNAMIC SCHEDULING OF MULTI-CLASS BASE-STOCK CONTROLLED SYSTEMS. by :
Download or read book ON THE SERVICE MODELS FOR DYNAMIC SCHEDULING OF MULTI-CLASS BASE-STOCK CONTROLLED SYSTEMS. written by and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This study is on the service models for dynamic scheduling of multi-class make-to-stock systems. An exponential single-server facility processes different types of items one by one and demand arrivals for different item types occur according to independent Poisson processes. Inventories of the items are managed by base-stock policies and backordering is allowed. The objective is to minimize base-stock investments or average inventory holding costs subject to a constraint on the aggregate fill rate, which is a weighted average of the fill rates of the item types. The base-stock controlled policy that maximizes aggregate fill rate is numerically investigated, for both symmetric and asymmetric systems, and is shown to be optimal for minimizing base-stock investments under an aggregate fill rate constraint. Alternative policies are generated by heuristics in order to approximate the policy that maximizes aggregate fill rate and performances of these policies are compared to those of two well-known Longest Queue and First Come First Served policies. Also, optimal policy for the service model to minimize average inventory holding cost subject to an aggregate fill rate constraint is investigated without restricting the attention to only base-stock controlled dynamic scheduling policies. Based on the equivalence relations between this service model and the corresponding cost model, it is observed that the base-stock controlled policy that maximizes aggregate fill rate is almost the same as the solution to the service model and cost model under consideration, especially when backorder penalties are large in the cost model as compared to cost parameters for inventory holding or equivalently when the target fill rate is large in the service model.
Book Synopsis Analysis of Make-to-stock Queues with General Production Times by : Nima Sanajian
Download or read book Analysis of Make-to-stock Queues with General Production Times written by Nima Sanajian and published by . This book was released on 2006 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we obtain the exact steady-state distribution of the number of customers in a GI/G/1 make-to-stock queue, therefore we observe the impact of production time variability on optimal inventory control policies. We also shed light on how system performance deteriorates more because of production stoppages and variability in repair times. We also analyze a production/inventory producing different products. We compare the performances of different scheduling policies in regard of the inventory control parameters and average system costs which are obtained by using the exact steady-state distribution of the number of customers for each static policy (first-come-first-served, preemptive and non-preemptive priority disciplines). We provide the inequalities indicating when it is optimal to switch from make-to-stock to make-to-order policy. We extend the application area of a well-known dynamic scheduling heuristic, Myopic(T), for systems with non-exponential service times. We additionally analyze inventory pooling problem in the M/G/1 make-to-stock queue.
Book Synopsis Dynamic Scheduling of a Multi-Class Queue: Small Interest Rates by : J. Michael Harrison
Download or read book Dynamic Scheduling of a Multi-Class Queue: Small Interest Rates written by J. Michael Harrison and published by . This book was released on 1974 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author considers a single server queueing system with two classes of customers who arrive according to independent Poisson processes. The two service time distributions are arbitrary, and a linear holding cost and fixed service reward for each class is considered. The problem is to decide, at the completion of each service and given the state of the system, which class (if any) to admit next into service. (Modified author abstract).
Author :Stuart Alexander Carr Publisher :Ann Arbor, Mich. : University Microfilms International ISBN 13 : Total Pages :308 pages Book Rating :4.E/5 ( download)
Book Synopsis A Partial Make-to-order Production-inventory Strategy for Industrial Manufacturers by : Stuart Alexander Carr
Download or read book A Partial Make-to-order Production-inventory Strategy for Industrial Manufacturers written by Stuart Alexander Carr and published by Ann Arbor, Mich. : University Microfilms International. This book was released on 1995 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analytic Methods in Applied Probability by : Yu. M. Suhov
Download or read book Analytic Methods in Applied Probability written by Yu. M. Suhov and published by American Mathematical Soc.. This book was released on 2002 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to F. I. Karpelevich, an outstanding Russian mathematician who made important contributions to applied probability theory. The book contains original papers focusing on several areas of applied probability and its uses in modern industrial processes, telecommunications, computing, mathematical economics, and finance. It opens with a review of Karpelevich's contributions to applied probability theory and includes a bibliography of his works. Other articles discuss queueing network theory, in particular, in heavy traffic approximation (fluid models). The book is suitable for graduate students, theoretical and applied probabilists, computer scientists, and engineers.
Book Synopsis Heavy Traffic Analysis of Controlled Queueing and Communication Networks by : Harold Kushner
Download or read book Heavy Traffic Analysis of Controlled Queueing and Communication Networks written by Harold Kushner and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the first books in the timely and important area of heavy traffic analysis of controlled and uncontrolled stochastics networks, by one of the leading authors in the field. The general theory is developed, with possibly state dependent parameters, and specialized to many different cases of practical interest.
