Models for Multi-Item Inventory Systems with Constraints

Models for Multi-Item Inventory Systems with Constraints
Author: William Edward Daeschner (Jr)
Publisher:
Total Pages: 119
Release: 1975
Genre:
ISBN:

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Constrained multi-item inventory systems with stochastic demands are addressed. The concept of Bad Buys is introduced and their temporal development is studied through a model which links the financial and line-item inventory control subsystems. The interaction of budget constraints and control policies having stochastic resource requirement are examined using a queueing model. Some line-item control systems in current use are shown to be incompatible with budget constrained financial control mechanisms. A model and solution procedure are furnished to guide the line-item inventory control subsystem in exercising adaptive control of a multi-item inventory with stochastic demands and fixed resources provided in successive fiscal periods. An interactive FORTRAN computer program is furnished which exploits the Generalized Lagrange Multiplier procedure in obtaining optimal or near-optimal integer solutions to a class of non-linear integer programming problems.

Problems & Solutions in Inventory Management

Problems & Solutions in Inventory Management
Author: Dinesh Shenoy
Publisher: Springer
Total Pages: 285
Release: 2017-10-05
Genre: Technology & Engineering
ISBN: 3319656961

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This book presents a compilation of over 200 numerical problems and solutions that students can use to learn, practice and master the Inventory Control and Management concepts. Intended as a companion to any of the standard textbooks in Inventory Control and Management and written in simple language, it illustrates very clearly the steps students need to follow in order to solve a given problem. It also explains which solution methodologies can be used under which circumstances. Offering an ideal one-stop resource for mid-level engineering and business students who have taken Inventory Management or a related subject as an elective, this book is the only one students will ever need to prepare and gain confidence for their examinations in this subject.

Optimization and Inventory Management

Optimization and Inventory Management
Author: Nita H. Shah
Publisher: Springer Nature
Total Pages: 470
Release: 2019-08-31
Genre: Business & Economics
ISBN: 9811396981

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This book discusses inventory models for determining optimal ordering policies using various optimization techniques, genetic algorithms, and data mining concepts. It also provides sensitivity analyses for the models’ robustness. It presents a collection of mathematical models that deal with real industry scenarios. All mathematical model solutions are provided with the help of various optimization techniques to determine optimal ordering policy. The book offers a range of perspectives on the implementation of optimization techniques, inflation, trade credit financing, fuzzy systems, human error, learning in production, inspection, green supply chains, closed supply chains, reworks, game theory approaches, genetic algorithms, and data mining, as well as research on big data applications for inventory management and control. Starting from deterministic inventory models, the book moves towards advanced inventory models. The content is divided into eight major sections: inventory control and management – inventory models with trade credit financing for imperfect quality items; environmental impact on ordering policies; impact of learning on the supply chain models; EOQ models considering warehousing; optimal ordering policies with data mining and PSO techniques; supply chain models in fuzzy environments; optimal production models for multi-items and multi-retailers; and a marketing model to understand buying behaviour. Given its scope, the book offers a valuable resource for practitioners, instructors, students and researchers alike. It also offers essential insights to help retailers/managers improve business functions and make more accurate and realistic decisions.

A Goal-constraint Formulation for Multi-item Inventory Systems

A Goal-constraint Formulation for Multi-item Inventory Systems
Author: Albert Paul Tully
Publisher:
Total Pages: 0
Release: 1968
Genre:
ISBN:

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Historically multi-item inventory control has been modeled by assuming that each item can be treated independently in a variable cost minimization formulation. In this paper independence between items is not assumed. Constraints on total system operating characteristics create inter-item dependencies. Optimal policies are determined from a goal-constraint formulation. This is done without reliance upon unknown parameters such as order cost and carrying cost which the traditional theory leans on heavily. A group of models are presented, with necessary and sufficient conditions for optimal solutions provided for each. In addition, solution algorithms are indicated for the major models. An algorithm for verification of sufficiency conditions for a non-convex objective function is also provided. (Author).

Spare Parts Inventory Control under System Availability Constraints

Spare Parts Inventory Control under System Availability Constraints
Author: Geert-Jan van Houtum
Publisher: Springer
Total Pages: 227
Release: 2015-05-18
Genre: Business & Economics
ISBN: 1489976094

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This book focuses on the tactical planning level for spare parts management. It describes a series of multi-item inventory models and presents exact and heuristic optimization methods, including greedy heuristics that work well for real, life-sized problems. The intended audience consists of graduate students, starting scholars in the field of spare parts inventory control, and spare parts planning specialists in the industry. In individual chapters the authors consider topics including: a basic single-location model; single-location models with multiple machine types and/or machine groups; the multi-location model with lateral transshipments; the classical METRIC model and its generalization to multi-indenture systems; and a single-location model with an explicit modeling of the repair capacity for failed parts and the priorities that one can set there. Various chapters of the book are used in a master course at Eindhoven University of Technology and in a PhD course of the Graduate Program Operations Management and Logistics (a Dutch network that organizes PhD courses in the field of OM&L). The required pre-knowledge consists of probability theory and basic knowledge of Markov processes and queuing theory. End-of-chapter problems appear for all chapters, with some answers appearing in an appendix.

Multi-Item Inventory Control Model with Space Constraints for Perishable Items

Multi-Item Inventory Control Model with Space Constraints for Perishable Items
Author: G.N Purohit
Publisher:
Total Pages: 0
Release: 2012
Genre:
ISBN:

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In this paper, a multi-item inventory control model is developed for perishable items in which production (or supply) is instantaneous with no lead time. Demand is uniform and deterministic and shortages are not allowed. The model is solved analytically for minimizing the total inventory cost, using Kuhn-Tucker theorem. The results are also illustrated numerically.

Service Level Constrained Inventory Systems

Service Level Constrained Inventory Systems
Author: Yuchen Jiang
Publisher:
Total Pages: 40
Release: 2019
Genre:
ISBN:

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Motivated by the importance of service quality in nowadays customer business environment, we focus on inventory optimization under probabilistic service level constraints, namely, the alpha service level (also known as the ready rate) or the beta service level (also known as the fill rate). Under service level constraints, we consider two canonical stochastic inventory models: (i) the classical inventory control model with backlogging and (ii) the remanufacturing inventory control model with random product returns. The random demands could be nonstationary, evolving and correlated over time. For each model, we first establish the optimality of generalized base-stock policies, and then propose a new approximation algorithm that admits a worst-case performance guarantee of 2. The core concept developed in this paper is called the delayed forced holding and production cost, which is proven effective in dealing with service level constrained inventory systems. We also provide an efficient heuristic algorithm for the multi-item inventory system. Our extensive computational experiments show that the proposed algorithms perform within 2% of optimality.

Two Space-Constrained Multi-Item Deterministic Inventory Models

Two Space-Constrained Multi-Item Deterministic Inventory Models
Author:
Publisher:
Total Pages: 0
Release: 1975
Genre:
ISBN:

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This paper presents two types of multi-item deterministic constrained inventory models which relate to the constraints of the equivalent of a direct support unit in the Federal German Army; namely, that there is only a limited amount of space available for storage of items. One is a continuous review model with no stockouts allowed and the other is a periodic review model where backorders are allowed. In contrast to previous models analyzed by Naddor and others, time phasing of the arrivals of orders of different items is allowed. The benefit derived from this phasing is the reduction in the average amounts of on-hand inventory and backorders. Solutions are obtained for the two-item case and the n-item case is discussed. Examples illustrate the results. (Author).

Fuzzy Multi Item Inventory Model with Deterioration and Demand Dependent Production Cost Under Space Constraint: Neutrosophic Hesitant Fuzzy Programming Approach

Fuzzy Multi Item Inventory Model with Deterioration and Demand Dependent Production Cost Under Space Constraint: Neutrosophic Hesitant Fuzzy Programming Approach
Author: Satya Kumar Das
Publisher: Infinite Study
Total Pages: 14
Release:
Genre: Mathematics
ISBN:

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In this paper, we have developed a multi-objective inventory model with constant demand rate, under the limitation on storage of space. Production cost is considered in demand dependent and the deterioration cost is considered in average inventory level dependent. Also inventory holding cost is dependent on time.