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Perishable Inventory Systems
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Book Synopsis Perishable Inventory Systems by : Steven Nahmias
Download or read book Perishable Inventory Systems written by Steven Nahmias and published by Springer Science & Business Media. This book was released on 2011-05-17 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: A perishable item is one that has constant utility up until an expiration date (which may be known or uncertain), at which point the utility drops to zero. This includes many types of packaged foods such as milk, cheese, processed meats, and canned goods. It also includes virtually all pharmaceuticals and photographic film, as well as whole blood supplies. This book is the first devoted solely to perishable inventory systems. The book’s ten chapters first cover the preliminaries of periodic review versus continuous review and look at a one-period newsvendor perishable inventory model. The author moves to the basic multiperiod dynamic model, and then considers the extensions of random lifetime, inclusion of a set-up cost, and multiproduct models of perishables. A chapter on continuous review models looks at one-for-one policies, models with zero lead time, optimal policies with positive lead time, and an alternative approach. Additional chapters present material on approximate order policies, inventory depletion management, and deterministic models, including the basic EOQ model with perishability and the dynamic deterministic model with perishability. Finally, chapters explore decaying inventories, queues with impatient customers, and blood bank inventory control. Anyone researching perishable inventory systems will find much to work with here. Practitioners and consultants will also now have a single well-referenced source of up-to-date information to work with.
Book Synopsis Multistage perishable inventory systems by : Chan-Huat Goh
Download or read book Multistage perishable inventory systems written by Chan-Huat Goh and published by . This book was released on 1991 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Managing Perishable Inventory Systems as Non-Perishable Ones by : Hailun Zhang
Download or read book Managing Perishable Inventory Systems as Non-Perishable Ones written by Hailun Zhang and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perishable inventory problems have a long history and involve two fundamental decisions, how much to order and how much old inventory to clear before expiration, that are known to be difficult to optimize due to the curse of dimensionality. Most early work ignores the clearance decision and focuses solely on the ordering decision until recently where heuristic clearance policies have been developed. In this paper, we approach the problem from a different angle by exploring its asymptotic behavior, i.e., perishability can be ignored in many cases and hence clearance of inventory is not necessary except at the beginning of the planning horizon when a system is large enough. Inspired by such asymptotic behavior, we examine simple policies that ignore clearance under minor conditions and establish theoretical bounds for them. The bounds not only vanish asymptotically, but also indicate a system size required to guarantee any given optimality gap. Numerical studies suggest that such policies can work very well for systems with reasonable sizes and practical management of complex perishable inventory systems is not so much harder than that of non-perishable ones.
Book Synopsis Product Selection Policies for Perishable Inventory Systems by : Julian Keilson
Download or read book Product Selection Policies for Perishable Inventory Systems written by Julian Keilson and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Multi-product Perishable Inventory Systems with Dependent Demands by : Bryan L. Deuermeyer
Download or read book On Multi-product Perishable Inventory Systems with Dependent Demands written by Bryan L. Deuermeyer and published by . This book was released on 1977 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Managing Perishable Inventory Systems with Multiple Demand Classes by : Hossein Abouee Mehrizi
Download or read book Managing Perishable Inventory Systems with Multiple Demand Classes written by Hossein Abouee Mehrizi and published by . This book was released on 2018 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we study a multi-period stochastic perishable inventory system with multiple demand classes that require products of different ages. The firm orders the product with a positive leadtime and sells it to multiple demand classes, each only accepting products with remaining lifetime longer than a threshold. In each period, after demand realization, the firm decides how to allocate the on-hand inventory to different demand classes with different backorder or lost-sale cost. At the end of each period, the firm can dispose inventory of any age. We formulate this problem as a Markov decision process and characterize the optimal ordering, allocation, and disposal policies. When unfulfilled demand is backlogged, we show that the optimal order quantity is decreasing in the inventory levels and is more sensitive to the inventory level of fresher products, the optimal allocation policy is a sequential rationing policy, and the optimal disposal policy is characterized by a set of thresholds. For the lost-sale case, we show that the optimal allocation and disposal policies have the same structure but the optimal ordering policy may be different. Based on the structure of the optimal policy, we develop an efficient heuristic that is at most 4% away from the optimal cost in our numerical examples. Using numerical studies, we show that the ordering and allocation policies are close to optimal even if the firm cannot intentionally dispose products. Moreover, ignoring the difference between demand classes and using a simple allocation policy (e.g., FIFO) can significantly increase the total cost. We examine how the firm can improve the control of perishable items and show that the benefit of decreasing the leadtime is more significant than that of increasing the lifetime of the products or that of decreasing the acceptance threshold of the demand. The analysis is extended to systems with age dependent disposal cost and stochastic supply.
Book Synopsis Managing Perishable Inventory Systems With Age-Differentiated Demand by : Shouchang Chen
Download or read book Managing Perishable Inventory Systems With Age-Differentiated Demand written by Shouchang Chen and published by . This book was released on 2020 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a periodic-review perishable inventory system with multiple demand classes, each characterized by a different lost-sales cost and a least freshness requirement. Demands of different classes in the same period can be correlated, while demands across periods are independent but not necessarily identical. In each period, the firm jointly makes the decisions regarding inventory issuing, rationing, production/ordering, and disposal. The objective is to minimize the total discounted expected cost over the entire planning horizon including linear ordering cost, inventory holding/lost-sales cost, expiration cost and disposal cost. By establishing new properties of multimodularity, we are able to explore some monotonicity and bounded sensitivity properties of the optimal policies and show that the optimal inventory issuing policy follows the first-in-first-out (FIFO) rule. The optimality analysis enables us to propose a novel heuristic, called adaptive approximation approach, which can be recursively calculated through a single-dimension dynamic program. Numerical studies demonstrate that our proposed approximation approach is nearly optimal with the average optimality gap 0.30% and significantly outperforms existing heuristics studied in the literature. Another important observation from numerical studies is that ignoring customers' freshness requirements can lead to a significant increase in total costs. Our heuristic idea can also be applied to the setting with the last-in-first-out (LIFO) issuing rule and still performs rather well.
Book Synopsis Simple Analytical Models for Perishable Inventory Systems by : Stephen C. Graves
Download or read book Simple Analytical Models for Perishable Inventory Systems written by Stephen C. Graves and published by . This book was released on 1978 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper develops three distinct models for studying perishable inventory systems. The perishable items have a deterministic usable life after which they must be outdated. For each of the models, analytical expressions are found for steady-state distributions which characterize the inventory systems. Knowledge of this steady-state behavior may be used for evaluation of system performance, and for consideration of alternatives for improving system performance. The first model considered assumes that both the demand process and the inventory replenishment process are stochastic processes that may be modelled as Poisson processes. The second and third model assume that inventory is replenished by a constant production process. The second model, assuming continuous inventory units, has Poisson demand requests with the size of each request distributed as an exponential random variable. The third model has Poisson demand requests with all demands being for a single unit. (Author).
Book Synopsis Managing Perishable Inventory Systems with Product Returns and Remanufacturing by : Ke Fu
Download or read book Managing Perishable Inventory Systems with Product Returns and Remanufacturing written by Ke Fu and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by emerging practice in the cut flower industry, we consider a periodic-review inventory system for a perishable product with a lifetime of two periods. There are two separate customer demands for the new product with two-period remaining lifetime and the old product with one-period remaining lifetime, and a fixed proportion of the unsatisfied demand for one product will purchase the other product as a substitute. One distinctive feature of our system is that a random portion of the sold new product is returned and can be remanufactured and re-marketed as the old product for sale. The objective is to maximize the expected total discounted profit over a finite planning horizon. We show that the optimal remanufacturing policy is a modified base-stock policy, and that the optimal manufacturing quantity of the new product decreases in the inventory level of the old product after remanufacturing. Furthermore, when the inventory level of the old product is large, the optimal manufacturing quantity asymptotically approaches a constant, which is lower and upper bounded by two newsvendor fractile solutions. We also conduct a numerical study to derive insights into the effects of remanufacturing and demand substitution. In particular, we show that remanufacturing can be a powerful way of mitigating negative environmental impacts in the cut flower industry. Finally, we discuss two model extensions that allow a joint production capacity and a multi-period lifetime.
Book Synopsis Heuristics for Perishable Inventory Systems Under Mixture Issuance Policies by : Jingying Ding
Download or read book Heuristics for Perishable Inventory Systems Under Mixture Issuance Policies written by Jingying Ding and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a periodic review inventory control problem of perishable goods with a fixed lifetime. Instead of considering either FIFO or LIFO issuance policy, we incorporate customers' behavior in the retail setting using a mixture of FIFO and LIFO issuance policy. First, we characterize properties of inventory transitions under a mixture of FIFO and LIFO policies and show that the sequence of demand arrival does not influence the inventory state at the end of the period. Second, we study the properties of optimal solutions under different issuance policies to gain insights for heuristic designs under mixture issuance policies. Third, we propose a two-stage heuristic for the LIFO policy, demonstrating its approximation accuracy through comparison with optimal solutions. Building on this, we design an effective heuristic for the mixture issuance policy by combining heuristics for both FIFO and LIFO policies. The numerical experiments with stationary and nonstationary demand validate the performance of our proposed heuristics against alternative heuristics across various issuance policies.
Book Synopsis Stochastic Perishable Inventory Systems by : Yuhe Diao
Download or read book Stochastic Perishable Inventory Systems written by Yuhe Diao and published by . This book was released on 2016 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study a single-item, multi-period, stochastic perishable inventory problem under both backlogging and lost-sales circumstances, with and without an order capacity constraint in each period. We first model the problem as a dynamic program and then develop two heuristics namely, Dual-Balancing (DB) and Look-Ahead (LA) policies, to approximate the optimal inventory level at the beginning of each period. To characterize the holding and backlog cost functions under the proposed polices, we introduce a truncated marginal holding cost for the marginal cost accounting scheme. Our numerical examples demonstrate that both DB and LA policies have a possible worst-case performance guarantee of two in perishable inventory systems under different assumptions, and the LA policy significantly outperforms the DB policy in most situations. We also analyze the target inventory level in each period (the inventory level at the beginning of each period) under different policies. We observe that the target inventory level under the LA policy is not larger than the optimal one in each period in systems without an order capacity constraint.
Book Synopsis 2-Approximation Policies for Perishable Inventory Systems when FIFO Is an Optimal Issuing Policy by : Can Zhang
Download or read book 2-Approximation Policies for Perishable Inventory Systems when FIFO Is an Optimal Issuing Policy written by Can Zhang and published by . This book was released on 2019 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivated by a platelet inventory management problem, we study periodic-review, fixed-lifetime perishable inventory systems where demand is a general stochastic process. The optimal solution for this problem is computationally intractable due to the “curse of dimensionality”. In this paper, we first present an approximation policy that we call the marginal-cost dual-balancing policy for perishable inventory systems. We prove that when first-in-first-out (FIFO) is an optimal issuing policy, our proposed policy admits a constant worst-case performance bound of two, a tighter performance bound compared to the existing results presented in the perishable inventory literature. We then extend the literature on the optimality of the FIFO issuing policy and present new sufficient conditions to ensure the optimality of FIFO. Further, we present a tight example to show that the performance bound of two of the balancing policy can be achieved asymptotically when the unit shortage penalty goes to infinity (in which case the balancing policy tends to under-order). Motivated by this result, we anticipate that the balancing policy as well as other existing balancing-type policies presented in the literature may perform poorly when the unit shortage penalty becomes large (these policies all tend to under-order), and we present a new policy that we call the truncated-balancing policy to overcome this shortcoming. By combining our worst-case analysis ideas for the balancing policy with a structural property called L-natural-convexity, we prove that the truncated-balancing policy also has a worst-case performance guarantee of two when FIFO is an optimal issuing policy. Finally, we conduct extensive numerical analyses and show that the truncated-balancing policy has a significant performance improvement over the existing policies when the unit shortage penalty becomes (reasonably) large.
Book Synopsis A Mathematically Reduced Approach to Predictive Control of Perishable Inventory Systems by : J. E. Orzechowska
Download or read book A Mathematically Reduced Approach to Predictive Control of Perishable Inventory Systems written by J. E. Orzechowska and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Computer-based Inventory Management System for Perishable Foods by : John Henry Wells
Download or read book A Computer-based Inventory Management System for Perishable Foods written by John Henry Wells and published by . This book was released on 1987 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inventory Systems of Age-independent Perishable Items Subject to On-going Deterioration by : Feraidoon Raafat
Download or read book Inventory Systems of Age-independent Perishable Items Subject to On-going Deterioration written by Feraidoon Raafat and published by . This book was released on 1982 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inventory Policies for Multi-product Inventory Systems with Perishable and Non-perishable Components by : Suriawati Sahari
Download or read book Inventory Policies for Multi-product Inventory Systems with Perishable and Non-perishable Components written by Suriawati Sahari and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Retail Analytics by : Anna-Lena Sachs
Download or read book Retail Analytics written by Anna-Lena Sachs and published by Springer. This book was released on 2014-12-10 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the challenging task of demand forecasting and inventory management in retailing. It analyzes how information from point-of-sale scanner systems can be used to improve inventory decisions, and develops a data-driven approach that integrates demand forecasting and inventory management for perishable products, while taking unobservable lost sales and substitution into account in out-of-stock situations. Using linear programming, a new inventory function that reflects the causal relationship between demand and external factors such as price and weather is proposed. The book subsequently demonstrates the benefits of this new approach in numerical studies that utilize real data collected at a large European retail chain. Furthermore, the book derives an optimal inventory policy for a multi-product setting in which the decision-maker faces an aggregated service level target, and analyzes whether the decision-maker is subject to behavioral biases based on real data for bakery products.
