20 research outputs found

    Grocery omnichannel perishable inventories: performance measures and influencing factors

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    Purpose- Perishable inventory management for the grocery sector has become more challenging with extended omnichannel activities and emerging consumer expectations. This paper aims to identify and formalize key performance measures of omnichannel perishable inventory management (OCPI) and explore the influence of operational and market-related factors on these measures. Design/methodology/approach- The inductive approach of this research synthesizes three performance measures (product waste, lost sales and freshness) and four influencing factors (channel effect, demand variability, product perishability and shelf life visibility) for OCPI, through industry investigation, expert interviews and a systematic literature review. Treating OCPI as a complex adaptive system and considering its transaction costs, this paper formalizes the OCPI performance measures and their influencing factors in two statements and four propositions, which are then tested through numerical analysis with simulation. Findings- Product waste, lost sales and freshness are identified as distinctive OCPI performance measures, which are influenced by product perishability, shelf life visibility, demand variability and channel effects. The OCPI sensitivity to those influencing factors is diverse, whereas those factors are found to moderate each other's effects. Practical implications- To manage perishables more effectively, with less waste and lost sales for the business and fresher products for the consumer, omnichannel firms need to consider store and online channel requirements and strive to reduce demand variability, extend product shelf life and facilitate item-level shelf life visibility. While flexible logistics capacity and dynamic pricing can mitigate demand variability, the product shelf life extension needs modifications in product design, production, or storage conditions. OCPI executives can also increase the product shelf life visibility through advanced stock monitoring/tracking technologies (e.g. smart tags or more comprehensive barcodes), particularly for the online channel which demands fresher products. Originality/value- This paper provides a novel theoretical view on perishables in omnichannel systems. It specifies the OCPI performance, beyond typical inventory policies for cost minimization, while discussing its sensitivity to operations and market factors

    An economic order quantity model for imperfect and deteriorating items with freshness and inventory level-dependent demand

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    Dissertation (MEng (Industrial Engineering))--University of Pretoria, 2023.Consumer purchasing behaviour is influenced by many factors. Depending on the circumstances, these factors may become relevant drivers of important supply chain decisions. Expiration dates have an influence on the purchasing decision of consumers for perishable goods. Another behavioural influence that stimulates demand is the volume of goods that are available on display as part of the purchase transaction. Furthermore, the fact that certain goods deteriorate over time must also be evaluated within the context of the study of perishable goods. The market is increasingly seeking goods that have no inherent defects or imperfections. This investigation seeks to determine the impact of imperfect quality, deterioration, freshness and inventory level and also, how those issues can be improved upon in workable situations. This paper proposes an inventory model that stipulates the demand as a function of freshness and the inventory level. In addition, the inventory depletes through both deterioration and demand, and the product quality is not always perfect. The objective of the inventory model is to maximise the systemโ€™s profit, hence the study has developed a theoretical mathematical model for imperfect and deteriorating items with freshness and inventory level-dependent demand. A numerical example was used to illustrate the practical application of the model in a real life environment. Sensitivity studies were conducted to determine the impact of changes or variations to the inputs that are used in the model. The findings were that the date of expiry, the elasticity of demand and the selling price of the perfect products are the main constituents that affect the profitability.Industrial and Systems EngineeringMEng (Industrial Engineering)Unrestricte

    Using Reinforcement Learning Methods to Price a Perishable Product, Case Study: Orange

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    โ€ŽDetermining the optimal selling price for different commodities has always been one of the main topics of scientific and industrial researchโ€Ž. โ€ŽPerishable products have a short life and due to their deterioration over timeโ€Ž, โ€Žthey cause great damage if not managedโ€Ž. โ€ŽMany industriesโ€Ž, โ€Žretailersโ€Ž, โ€Žand service providers have the opportunity to increase their revenue through optimal pricing of perishable products that must be sold within a certain periodโ€Ž. โ€ŽIn the pricing issueโ€Ž, โ€Ža seller must determine the price of several units of a perishable or seasonal product to be sold for a limited timeโ€Ž. โ€ŽThis article examines pricing policies that increase revenue for the sale of a given inventory with an expiration dateโ€Ž. โ€ŽBooster learning algorithms are used to analyze how companies can simultaneously learn and optimize pricing strategy in response to buyersโ€Ž. โ€ŽIt is also shown that using reinforcement learning we can model a demand-dependent problemโ€Ž. โ€ŽThis paper presents an optimization method in a model-independent environment in which demand is learned and pricing decisions are updated at the momentโ€Ž. โ€ŽWe compare the performance of learning algorithms using Monte Carlo simulationsโ€Ž

    Designing an Updatable Long Term Health Insurance

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    In this paper, we considered the long-term health insurance as a sequence of annual health insurance policies. To improve the disadvantages of long-term health insurance, we specify the optimal contract including optimal insurance premiums and optimal insurance coverage for the healthcare costs using a negotiation model. We considered two case of known and unknown initial health state. The predictive model for healthcare costs was determined as a time series and state-contingent models. Since the health state changes over time, the insured tends not only to be insured against risk according to her health state, but also to be insured against reclassification of risk. The insurer also seeks a fair premium appropriate to the insured's risk. To achieve this, we determined the optimal contract based on the negotiation model, in which the negotiation parameter is calculated based on the Nash solution. The optimal premium is independent of health state so that the insured is safe against reclassification. However, the insurer coverage is state-contingent and protects the insurer from detriment. Moreover, due to the uncertainty in estimating the parameters of the prediction model, we specified the projection interval by using the bootstrap method for optimal insurance premiums in the coming years. Thus, the insured is aware of the premium intervals at the time of signing the contract with the insurer

    Modelling and Determining Inventory Decisions for Improved Sustainability in Perishable Food Supply Chains

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    Since the introduction of sustainable development, industries have witnessed significant sustainability challenges. Literature shows that the food industry is concerned about its need for efficient and effective management practices in dealing with perishability and the requirements for conditioned storage and transport of food products that effect the environment. Hence, the environmental part of sustainability demonstrates its significance in this industrial sector. Despite this, there has been little research into environmentally sustainable inventory management of deteriorating items. This thesis presents mathematical modelling based research for production inventory systems in perishable food supply chains. In this study, multi-objective mixed-integer linear programming models are developed to determine economically and environmentally optimal production and inventory decisions for a two-echelon supply chain. The supply chain consists of single sourcing suppliers for raw materials and a producer who operates under a make-to-stock or make-to-order strategy. The demand facing the producer is non-stationary stochastic in nature and has requirements in terms of service level and the remaining shelf life of the marketed products. Using data from the literature, numerical examples are given in order to test and analyse these models. The computational experiments show that operational adjustments in cases where emission and cost parameters were not strongly correlated with supply chain collaboration (where suppliers and a producer operate under centralised control), emissions are effectively reduced without a significant increase in cost. The findings show that assigning a high disposal cost, limit or high weight of importance to perished goods leads to appropriate reduction of expected waste in the supply chain with no major cost increase. The research has made contributions to the literature on sustainable production and inventory management; providing formal models that can be used as an aid to understanding and as a tool for planning and improving sustainable production and inventory control in supply chains involving deteriorating items, in particular with perishable food supply chains.the Ministry of Science and Technology, the Royal Thai Government

    Ensuring blood is available when it is needed most

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    The provision of blood to patients in need is an imperative faced by all countries.  Red blood cells (RBCs) are perishable with a life of 42 days.  Inventory managers at hospitals need to know how many RBCs to order so that the probability of experiencing shortages or outdates is minimised.  This is complicated by demand for RBCs being doubly stochastic.  Both the number of patients that need RBCs and quantity of RBCs they will need are random.  For centralised blood banks not only are the orders they receive from hospitals apparently random, the supply of blood is also random. This thesis shows that, in addition to the previously mentioned sources of volatility, the structure of the supply chain induces further volatility.  This occurs due to the presence of delivery delays and negative feedback loops in two locations within the supply chain.  It is shown how this volatility can be addressed with some simple structural changes.  But simply removing system induced volatility does not imply that the supply chain is optimised.  To address optimality the problem is formulated as a Markov decision process (MDP).  A solution to this process uses Stochastic Dynamic Programming (SDP), but this results in a combinatoric explosion making the computation of an exact solution within a reasonable time impossible.  Instead, Stochastic Average Approximation (SAA) is used to derive an approximate solution.  Repeated, sequential application of this is an exercise in Discrete Time Stochastic Control.  A working control solution is provided in python.  This solution can be arranged so as to mimic the two echelon supply chain found in blood inventories.  It is general enough to apply to any discrete perishable inventory system with random demand and/or supply. The approach for blood inventories requires credible estimates of demand for RBCs.  It is shown, using hierarchical Bayesian modelling and Discrete Phase-Type (DPH) distributions, that credible estimates of demand at hospitals of any size can be derived from publicly available information.  In particular a new method for obtaining the parameters of a DPH distribution is formulated and applied to estimating transfusion quantities from publicly available sources. An application of the proposed solution is presented for RBC inventories at both hospitals and at the blood bank.  For the blood bank in particular it is shown how this can be used to determine the quantity of donors needed to meet demand within a desired probability of adequacy

    ํŒ๋งค์ด‰์ง„์„ ๋„์ž…ํ•œ ์ˆ˜์š” ๋ถˆํ™•์‹ค์„ฑ ์žฌ๊ณ ๊ด€๋ฆฌ ๋ชจํ˜•

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    ํ•™์œ„๋…ผ๋ฌธ (๋ฐ•์‚ฌ) -- ์„œ์šธ๋Œ€ํ•™๊ต ๋Œ€ํ•™์› : ๊ณต๊ณผ๋Œ€ํ•™ ์‚ฐ์—…๊ณตํ•™๊ณผ, 2020. 8. ๋ฌธ์ผ๊ฒฝ.As the globalization of markets accelerates competition among companies, sales promotion, which refers to short-term incentives promoting sales of products or services, plays a prominent role. Although there are various types of sales promotions, such as price reduction, buy-x-get-y-free, and trade-in program, the common purpose is to induce the purchase of customers by offering benefits. This successful strategy has caught the attention of researchers, including operations management and supply chain management. Thus, various studies have been conducted to examine strategies for ongoing operations and to demonstrate the effects of the sales promotion, which are based on the strategic level. However, research at the tactical or operational level has been conducted insufficiently. This dissertation examines the inventory models considering (i) markdown sale, (ii) buy one get one free (BOGO), and (iii) trade-in program. First, the newsvendor model is considered. By introducing the decision variable, which represents the start time of markdown sale, the retailer can obtain the optimal combination of the start time of a markdown sale and an order quantity. Under certain conditions in a decentralized system, however, the start time of a markdown sale where the retailer obtains the highest profit is the least profitable for the manufacturer. To avoid irrational ordering behavior by a retailer against a manufacturer, a revenue-sharing contract is proposed. Second, the mobile application, ``My Own Refrigerator'', is considered in the inventory model. It enables customers to store BOGO products in their virtual storage for later use. That is, customers can drop by the store to pick up the extra freebies in the future. The promotion involves a high degree of uncertainty regarding the revisiting date because customers who buy the product do not need to take both products on the day of purchase. To deal with this uncertainty, we propose a robust multiperiod inventory model by addressing the approximation of a multistage stochastic optimization model. Third, the trade-in program is considered. It is one of the sales promotions that companies collect used old-generation products from customers and provide them with new-generation products at a discount price. It also helps to acquire the additional products which are required for the refurbishment service. A multiperiod stochastic inventory model based on the closed-loop supply chain system is proposed by incorporating the trade-in program and refurbishment service simultaneously. The stochastic optimization model is approximated to the robust counterpart, which features a deterministic second-order cone program.์‹œ์žฅ์˜ ์„ธ๊ณ„ํ™”์— ๋”ฐ๋ฅธ ๊ธฐ์—… ๊ฐ„์˜ ๊ฒฝ์Ÿ์ด ๊ฐ€์†ํ™”๋จ์— ๋”ฐ๋ผ, ๋‹จ๊ธฐ ์ธ์„ผํ‹ฐ๋ธŒ๋ฅผ ํ†ตํ•ด ๊ณ ๊ฐ์˜ ์ œํ’ˆ ๋˜๋Š” ์„œ๋น„์Šค ๊ตฌ๋งค๋ฅผ ์œ ๋„ํ•˜๋Š” ํŒ๋งค์ด‰์ง„์˜ ์—ญํ• ์ด ์ค‘์š”ํ•ด์กŒ๋‹ค. ๊ฐ€๊ฒฉ ์ธํ•˜, ํ–‰์‚ฌ์ƒํ’ˆ ์ฆ์ •, ํŠธ๋ ˆ์ด๋“œ์ธํ”„๋กœ๊ทธ๋žจ๊ณผ ๊ฐ™์€ ๋‹ค์–‘ํ•œ ์œ ํ˜•์˜ ํŒ๋งค์ด‰์ง„ ์ „๋žต์ด ์กด์žฌํ•˜์ง€๋งŒ, ๊ณตํ†ต๋œ ์ฃผ์š” ๋ชฉ์ ์€ ๊ธฐ์—…์ด ๊ณ ๊ฐ์—๊ฒŒ ํ˜œํƒ์„ ์ œ๊ณตํ•˜์—ฌ ๊ณ ๊ฐ์˜ ์ˆ˜์š”๋ฅผ ์ฆ๋Œ€์‹œํ‚ค๋Š” ๊ฒƒ์ด๋‹ค. ํŒ๋งค์ด‰์ง„์˜ ์„ฑ๊ณต์ ์ธ ์ „๋žต์€ ๊ฒฝ์˜๊ณผํ•™ ๋˜๋Š” ๊ณต๊ธ‰๋ง๊ด€๋ฆฌ ๋ถ„์•ผ๋ฅผ ํฌํ•จํ•œ ๊ด€๋ จ ํ•™๊ณ„์˜ ๊ด€์‹ฌ์„ ์ด๋Œ์—ˆ๋‹ค. ์ง€์†์ ์ธ ์šด์˜์„ ์œ„ํ•œ ์ „๋žต์„ ๊ฒ€ํ† ํ•˜๊ณ  ์ „๋žต์  ์ˆ˜์ค€ ๊ณ„ํš์„ ๊ธฐ๋ฐ˜์œผ๋กœ ํ•˜๋Š” ํŒ๋งค ์ด‰์ง„์˜ ํšจ๊ณผ๋ฅผ ์ž…์ฆํ•˜๊ธฐ ์œ„ํ•œ ๋‹ค์–‘ํ•œ ์—ฐ๊ตฌ๊ฐ€ ์ˆ˜ํ–‰๋˜์—ˆ์Šต๋‹ˆ๋‹ค. ํ•˜์ง€๋งŒ ์šด์˜ ์ˆ˜์ค€์˜ ์†Œ๋งค์—…์ฒด ์ž…์žฅ์—์„œ์˜ ์—ฐ๊ตฌ๋Š” ๋ฏธํกํ•œ ์‹ค์ •์ด๋‹ค. ๋ณธ ๋…ผ๋ฌธ์—์„œ๋Š” (i) ๋งˆํฌ ๋‹ค์šด (ii) buy one get one free (BOGO), ๋ฐ (iii) ํŠธ๋ ˆ์ด๋“œ์ธํ”„๋กœ๊ทธ๋žจ์„ ๊ณ ๋ คํ•œ ์žฌ๊ณ ๊ด€๋ฆฌ๋ชจํ˜•์„ ๋‹ค๋ฃฌ๋‹ค. ๋จผ์ €, ์‹ ๋ฌธ๊ฐ€ํŒ์› ๋ชจํ˜•์— ๋งˆํฌ ๋‹ค์šด ์‹œ์ž‘ ์‹œ์ ์„ ๋‚˜ํƒ€๋‚ด๋Š” ๊ฒฐ์ • ๋ณ€์ˆ˜๋ฅผ ๋„์ž…ํ•˜์—ฌ ์ตœ์ ์˜ ๋งˆํฌ ๋‹ค์šด ์‹œ์ž‘ ์‹œ์ ๊ณผ ์ฃผ๋ฌธ๋Ÿ‰์˜ ์กฐํ•ฉ์„ ์ œ๊ณตํ•˜๋Š” ๋ชจํ˜•์„ ์ œ์•ˆํ•œ๋‹ค. ๋ถ„์‚ฐ ์‹œ์Šคํ…œ์˜ ํŠน์ • ์กฐ๊ฑด์—์„œ๋Š” ์†Œ๋งค์—…์ž๊ฐ€ ๊ฐ€์žฅ ๋†’์€ ์ด์ต์„ ์–ป๋Š” ์‹œ์ ์ด ์ œ์กฐ์—…์ž์—๊ฒŒ ๋‚ฎ์€ ์ˆ˜์ต์„ฑ์„ ์•ผ๊ธฐํ•  ์ˆ˜ ์žˆ๋‹ค. ๋”ฐ๋ผ์„œ ๋ณธ ์—ฐ๊ตฌ๋Š” ์ œ์กฐ์—…์ž์— ๋Œ€ํ•œ ์†Œ๋งค์—…์ž์˜ ๋น„ํ•ฉ๋ฆฌ์  ์ฃผ๋ฌธ์„ ๋ง‰๊ธฐ ์œ„ํ•œ ์ด์ต๋ถ„๋ฐฐ๊ณ„์•ฝ์„ ์ œ์•ˆํ•œ๋‹ค. ์ด์ต๋ถ„๋ฐฐ๊ณ„์•ฝ์„ ํ†ตํ•œ ์ค‘์•™์ง‘๊ถŒํ™” ์‹œ์Šคํ…œ์€ ๋ถ„์‚ฐ ์‹œ์Šคํ…œ์—์„œ ์–ป์€ ์ด์ต์— ๋น„ํ•ด ์†Œ๋งค์—…์ž์™€ ์ œ์กฐ์—…์ž์˜ ์ด์ต์„ ํ–ฅ์ƒ์‹œํ‚ด์„ ์ˆ˜์น˜์‹คํ—˜์„ ํ†ตํ•ด ํ™•์ธํ•˜์˜€๋‹ค. ๋‘˜์งธ, ๋ชจ๋ฐ”์ผ ์–ดํ”Œ๋ฆฌ์ผ€์ด์…˜ ``๋‚˜๋งŒ์˜ ๋ƒ‰์žฅ๊ณ ''๋ฅผ ๊ณ ๋ คํ•œ ์žฌ๊ณ ๋ชจํ˜•์„ ๊ณ ๋ คํ•œ๋‹ค. ์ด ์•ฑ์„ ํ†ตํ•ด BOGO ํ–‰์‚ฌ์ œํ’ˆ์„ ๊ตฌ๋งคํ•œ ๊ณ ๊ฐ์€ ์ฆ์ •ํ’ˆ์„ ๊ตฌ๋งค ๋‹น์ผ ๋‚  ๊ฐ€์ ธ๊ฐ€์ง€ ์•Š๊ณ  ๋ฏธ๋ž˜์— ์žฌ๋ฐฉ๋ฌธํ•˜์—ฌ ์ˆ˜๋ นํ•  ์ˆ˜ ์žˆ๋Š” ํ˜œํƒ์„ ๋ฐ›๋Š”๋‹ค. ํ•˜์ง€๋งŒ ์†Œ๋งค์—…์ž ์ž…์žฅ์—์„œ๋Š” ๊ณ ๊ฐ์ด ์ฆ์ •ํ’ˆ์„ ์–ธ์ œ ์ˆ˜๋ นํ•ด ๊ฐˆ ์ง€์— ๋Œ€ํ•œ ๋ถˆํ™•์‹ค์„ฑ์ด ์กด์žฌํ•˜๋ฉฐ ์ด๋Š” ๊ธฐ์กด์˜ ์žฌ๊ณ ๊ด€๋ฆฌ ์šด์˜๋ฐฉ์‹์—๋Š” ํ•œ๊ณ„์ ์ด ์žˆ์Œ์„ ์‹œ์‚ฌํ•œ๋‹ค. ๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š” ๊ณ ๊ฐ์˜ ์žฌ๋ฐฉ๋ฌธ์— ๋Œ€ํ•œ ๋ถˆํ™•์‹ค์„ฑ์„ ๊ณ ๋ คํ•œ ๋ณต์ˆ˜๊ธฐ๊ฐ„ ์ถ”๊ณ„๊ณ„ํš ์žฌ๊ณ ๋ชจํ˜•์„ ์ˆ˜๋ฆฝํ•˜๋ฉฐ ์ด๋ฅผ ํšจ์œจ์ ์œผ๋กœ ๊ณ„์‚ฐํ•˜๊ธฐ ์œ„ํ•œ ๊ฐ•๊ฑด์ตœ์ ํ™” ๋ชจํ˜•์œผ๋กœ ๊ทผ์‚ฌํ™”ํ•˜์˜€๋‹ค. ์…‹์งธ, ๋ฆฌํผ์„œ๋น„์Šค์™€ ํŠธ๋ ˆ์ด๋“œ์ธํ”„๋กœ๊ทธ๋žจ์„ ๊ณ ๋ คํ•œ ํํšŒ๋กœ ๊ณต๊ธ‰๋ง ์‹œ์Šคํ…œ ๊ธฐ๋ฐ˜์˜ ๋ณต์ˆ˜๊ธฐ๊ฐ„ ์žฌ๊ณ ๊ด€๋ฆฌ๋ชจํ˜•์„ ์ œ์•ˆํ•œ๋‹ค. ์‹ ์„ธ๋Œ€ ์ œํ’ˆ, ๋ฆฌํผ์„œ๋น„์Šค ๋ฐ ํŠธ๋ ˆ์ด๋“œ์ธํ”„๋กœ๊ทธ๋žจ์— ๋Œ€ํ•œ ์„ธ ๊ฐ€์ง€ ์œ ํ˜•์˜ ๋ถˆํ™•์‹คํ•œ ์ˆ˜์š”์— ๋Œ€ํ•œ ์ƒ๊ด€๊ด€๊ณ„๋ฅผ ๋ฐ˜์˜ํ•จ์— ๋”ฐ๋ผ ๋ณต์ˆ˜๊ธฐ๊ฐ„ ์ถ”๊ณ„๊ณ„ํš ์žฌ๊ณ ๋ชจํ˜•์ด ์ˆ˜๋ฆฝ๋œ๋‹ค. ๋ณต์ˆ˜๊ธฐ๊ฐ„ ์ถ”๊ณ„๊ณ„ํš ์žฌ๊ณ ๋ชจํ˜•์˜ ๊ณ„์‚ฐ์ด ์–ด๋ ต๋‹ค๋Š” ํ•œ๊ณ„๋ฅผ ๊ทน๋ณตํ•˜๊ณ ์ž ๊ฐ•๊ฑด์ตœ์ ํ™” ๋ชจํ˜•์œผ๋กœ ๊ทผ์‚ฌํ™”ํ•˜์˜€๋‹ค.Chapter 1 Introduction 1 1.1 Sales promotion 1 1.2 Inventory management 3 1.3 Research motivations 6 1.4 Research contents and contributions 8 1.5 Outline of the dissertation 10 Chapter 2 Optimal Start Time of a Markdown Sale Under a Two-Echelon Inventory System 11 2.1 Introduction and literature review 11 2.2 Problem description 17 2.3 Analysis of the decentralized system 21 2.3.1 Newsvendor model for a retailer 21 2.3.2 Solution procedure for an optimal combination of the start time of the markdown sale and the order quantity 25 2.3.3 Profi t function of a manufacturer 25 2.3.4 Numerical experiments of the decentralized system 27 2.4 Analysis of a centralized system 35 2.4.1 Revenue-sharing contract 35 2.4.2 Numerical experiments of the centralized system 38 2.5 Summary 40 2.5.1 Managerial insights 41 Chapter 3 Robust Multiperiod Inventory Model with a New Type of Buy One Get One Promotion: "My Own Refrigerator" 43 3.1 Introduction and literature review 43 3.2 Problem description 51 3.2.1 Demand modeling 52 3.2.2 Sequences of the ordering decision 54 3.3 Mathematical formulation of the IMMOR 56 3.3.1 Mathematical formulation of the IMMOR under the deterministic demand 58 3.3.2 Mathematical formulation of the IMMOR under the stochastic demand 58 3.3.3 Distributionally robust optimization approach for the IMMOR 60 3.4 Computational experiments 76 3.4.1 Experiment 1: tractability of the RIMMOR 77 3.4.2 Experiment 2: robustness of the RIMMOR 78 3.4.3 Experiment 3: e ect of duration of the expiry date under the different customers' revisiting propensities 78 3.5 Summary 83 3.5.1 Managerial insights 83 Chapter 4 Robust Multiperiod Inventory Model Considering Refurbishment Service and Trade-in Program 85 4.1 Introduction 85 4.2 Literature review 91 4.2.1 Effects of the trade-in program and strategic-level decisions for the trade-in program 91 4.2.2 Inventory or lot-sizing model in a closed-loop supply chain system 94 4.2.3 Distinctive features of this research 97 4.3 Problem description 100 4.3.1 Demand modeling 103 4.3.2 Decision of the inventory manager 105 4.4 Mathematical formulation 108 4.4.1 Mathematical formulation of the IMRSTIP under the deterministic demand model 108 4.4.2 Mathematical formulation of the IMRSTIP under the stochastic demand model 110 4.4.3 Distributionally robust optimization approach for the IMRSTIP 111 4.5 Computational experiments 125 4.5.1 Demand process 125 4.5.2 Experiment 1: tractability of the RIMRSTIP 128 4.5.3 Experiment 2: approximation error from the expected value given perfect information 129 4.5.4 Experiment 3: protection against realized uncertain factors 130 4.5.5 Experiment 4: di erences between modeling demands from VARMA and ARMA 131 4.5.6 Experiments 5 and 6: comparisons of backlogged refurbishment service with or without trade-in program 133 4.6 Summary 136 Chapter 5 Conclusions 138 5.1 Summary 138 5.2 Future research 140 Bibliography 142 Chapter A 160 A.1 160 A.2 163 A.3 163 A.4 164 A.5 165 A.6 166 Chapter B 168 B.1 168 B.2 171 B.3 172 Chapter C 174 C.1 174 C.2 174 ๊ตญ๋ฌธ์ดˆ๋ก 179Docto
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