2Outline Basic Definitions and Ideas Reasons to Hold Inventory Inventory CostsInventory Control SystemsContinuous Review ModelsBasic EOQ ModelQuantity DiscountsSafety StockSpecial Case: The News Vendor ProblemDiscrete Probability ExampleContinuous Probability ExamplePeriodic Review Model
3What is Inventory?Inventory is a stock of items held to meet future demand.Inventory management answers two questions:How much to orderWhen to order
4Basic Concepts of Inventory Management can be expanded to apply to a broad array of types of “inventory”:Raw materialsPurchased parts and suppliesLaborIn-process (partially completed) productsComponent partsWorking capitalTools, machinery, and equipmentFinished goods
5Reasons to Hold Inventory Meet unexpected demandSmooth seasonal or cyclical demandMeet variations in customer demandTake advantage of price discountsHedge against price increasesQuantity discounts
6Two Forms of Demand Dependent Independent items used to produce final productsIndependentitems demanded by external customers
7Inventory Costs Carrying Cost Ordering Cost Shortage Cost cost of holding an item in inventoryOrdering Costcost of replenishing inventoryShortage Costtemporary or permanent loss of sales when demand cannot be met
8Inventory Control Systems Fixed-order-quantity system (Continuous)constant amount ordered when inventory declines to predetermined levelFixed-time-period system (Periodic)order placed for variable amount after fixed passage of time
10The Basic EOQ Model (Economic Order Quantity) Assumptions of the Basic EOQ Model:Demand is known with certaintyDemand is relatively constant over timeNo shortages are allowedLead time for the receipt of orders is constantThe order quantity is received all at once
18Quantity Discount Algorithm Step 1. Calculate a value for Q*.Step 2: For any discount, if the order quantity is too low to qualify for the discount, adjust Q upward to the lowest feasible quantity.Step 3: Calculate the total annual cost for each Q*.
19Quantity Discount Algorithm Step 1. Calculate a value for Q*.
20Quantity Discount Algorithm Step 2: For any discount, if the order quantity is too low to qualify for the discount, adjust Q* upward to the lowest feasible quantity.
26Lead time for one of your fastest-moving products is 21 days Lead time for one of your fastest-moving products is 21 days. Demand during this period averages 100 units per day. What would be an appropriate reorder point?
27What About Random Demand? (Or Random Lead Time?)
28Safety stockbuffer added to on-hand inventory during lead timeStockoutan inventory shortageService levelprobability that the inventory available during lead time will meet demand
29Reorder Point with Variable Demand (Leadtime is Constant)
30A carpet store wants a reorder point with a 95% service level and a 5% stockout probability during the leadtime.
36Special Case: The Newsboy Problem The News Vendor Problem is a special “single period” version of the EOQ model, where the product drops in value after a relatively brief selling period.The name comes from newspapers, which are much less valuable after the day they are originally published. This model may be useful for any product with a short product life cycle, such asTime-sensitive Materials (newspapers, magazines)Fashion Goods (some kinds of apparel)Perishable Goods (some food products)
37Two new assumptions:There are two distinct selling periods:an initial period in which the product is sold at a regular pricea subsequent period in which the item is sold at a lower “salvage” price.Two revenue values:a regular price P, at which the product can be sold during the initial selling perioda salvage value V, at which the product can be sold after the initial selling period.The salvage value is frequently less than the cost of production C, and in general we wish to avoid selling units at the salvage price.
38“Damned if you do; damned if you don’t”: If we order too many, there will be extra units left over to be sold at the disadvantageous salvage price.If we order too few, some customer demand will not be satisfied, and we will forego the profits that could have been made from selling to the customer.
49Periodic Review Models Sometimes a continuous review system doesn’t make sense, as when the item is not very expensive to carry, and/or when the customers don’t mind waiting for a backorder.A periodic review system only checks inventory and places orders at fixed intervals of time.
50A basic periodic review system might work as follows: Every T time periods, check the inventory level I, and order enough to bring inventory back up to some predetermined level.This “order-up-to” level should be enough to cover expected demand during the lead time, plus the time that will elapse before the next periodic review.
51We might also build some safety stock in to the “order-up-to” quantity.
53What is Supply-Chain Management? Supply-chain management is a total system approach to managing the entire flow of information, materials, and services from raw-material suppliers through factories and warehouses to the end customerB Operations -- Prof. Juran
54What is a Supply-Chain?Supply-chain is a term that describes how organizations (suppliers, manufacturers, distributors, and customers) are linked togetherB Operations -- Prof. Juran
55Measures of Supply-Chain Performance One of the most commonly used measures in all of operations management is “Inventory Turnover”In situations where distribution inventory is dominant, “Weeks of Supply” is preferred and measures how many weeks’ worth of inventory is in the system at a particular timeB Operations -- Prof. Juran17
56Example: Supply-Chain Performance Measurement Suppose a company’s new annual report claims their costs of goods sold for the year is $160 million and their total average inventory (production materials + work-in-process) is worth $35 million. This company normally has an inventory turn ratio of 10.What is this year’s Inventory Turnover ratio?What does it mean?B Operations -- Prof. Juran
58What else would you want to know about this situation? Since the company’s normal inventory turnover ratio is 10, a drop to 4.57 means that the inventory is not turning over as quickly as it had in the past.In other words, they now have more inventory relative to their cost of goods sold than before.What else would you want to know about this situation?B Operations -- Prof. Juran17
59Supply Chain Strategy Marshall Fisher: Adverse effects of price promotionsFunctional vs. Innovative productsB Operations -- Prof. Juran
60Hau Lee’s Supply Chain Concepts Hau Lee’s approach to supply chains centers on aligning the supply chain with process side uncertainties (focus on the supply side)A stable supply process has mature technologies and an evolving supply process has rapidly changing technologiesTypes of Supply ChainsEfficientRisk-HedgingResponsiveAgileB Operations -- Prof. Juran7
62Hau Lee’s Uncertainty Framework B Operations -- Prof. Juran7
63Value DensityValue density is defined as the value of an item per pound of weightAn important measure when deciding where items should be stocked geographically and how they should be shippedB Operations -- Prof. Juran
64Mass CustomizationMass customization is a term used to describe the ability of a company to deliver highly customized products and services to different customersThe key to mass customization is effectively postponing the tasks of differentiating a product for a specific customer until the latest possible point in the supply-chain networkB Operations -- Prof. Juran
65Mass CustomizationPrinciple 1: A product should be designed so it consists of independent modules that can be assembled into different forms of the product easily and inexpensively.Principle 2: Manufacturing and service processes should be designed so that they consist of independent modules that can be moved or rearranged easily to support different distribution network strategies.B Operations -- Prof. Juran
66Mass CustomizationPrinciple 3: The supply network — the positioning of the inventory and the location, number, and structure of service, manufacturing, and distribution facilities — should be designed to provide two capabilities. First, it must be able to supply the basic product to the facilities performing the customization in a cost-effective manner. Second, it must have the flexibility and the responsiveness to take individual customers’ orders and deliver the finished, customized good quickly.B Operations -- Prof. Juran
68Summary Basic Definitions and Ideas Reasons to Hold Inventory Inventory CostsInventory Control SystemsContinuous Review ModelsBasic EOQ ModelQuantity DiscountsSafety StockSpecial Case: The News Vendor ProblemDiscrete Probability ExampleContinuous Probability ExamplePeriodic Review Model