Application of Inventory Model in Industry - Foong Weng Kang - TS160.F66 2008

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    ABSTRACT

    This study discusses the inventory models used at Ngee Ming Shoe Manufacturer

    Sdn. Bhd, Selangor. The objective of the study is to identify and analyze the most

    appropriate inventory models to be used in the company in term to decide the

    ordering quantity and ordering time interval. The data gathered from interviews,

    observations, journals, books, internet and company inventory record. The result was

    analyzed, there are three inventory models used to determine the ordering quantity

    and ordering interval time; Economic Order Quantity (EOQ), Economic Production

    Quantity (EPQ) and Quantity Discount (QD). Each model has different

    characteristic, where EOQ is focus on inventory cost, EPQ is focus on the production

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    ABSTRAK

    Kajian ini membincangkan tentang penggunaan model inventori di Syarikat Ngee

    Ming Sdn. Bhd, Selangor. Objektif utama kajian ini adalah untuk menentukan dan

    menganalisis model inventori yang paling sesuai dilaksanakan dalam syarikat

    tersebut untuk menentukan kuantiti dan kekerapan pesanan. Data diperolehi daripada

    temuduga, permerhatian, buku, jurnal, laman web dan data inventori syarikat.

    Selepas data dianalisis, tiga model inventori digunakan bagi menentukan kuantiti dan

    kekerapan pesanan iaitu kuantiti pesanan ekonomi, pengeluaran kuantiti ekonomi

    dan kuantiti diskaun. Setiap model inventori mempunyai kriteria yang berbeza,

    dimana kuantiti pesanan ekonomi menfokus kepada kos-kos penyimpanan,

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    CHAPTER 1

    INTRODUCTION

    1.1 Company Background

    Ngee Ming Shoe Manufacturers Sdn. Bhd. has successfully developed a complete

    range of industrial safety shoe suitable for various working conditions. The company

    has been specialized in providing steel toe, safety footwear for thousands of

    hardworking people throughout Malaysia. They produce a wide range of products

    named Oscar Safety Shoes and they manufactured by ISO 9001:2000 accredited

    facilities and adhere to international quality standards.

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    1.3 Objectives

    There are several study objectives;

    a) To identify the most appropriate inventory model to apply into the

    company.

    b) To protect against uncertainties such as supply, demand and lead time, so

    safety stocks are required.

    c) To allow economic production and purchase, it is more economic to

    produce materials in a lot size because it can reduce the ordering costs,

    quantity costs and transportation costs.

    d) To ensure the company has gain customers satisfactory and competitive

    advantages.

    e) To ensure the products have delivered before due date and avoid loss

    sales due to stock out.

    1.4 Scope

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    1.5 Important of The Project

    The project is to determine the ordering quantity and timing in a minimum cost. This

    project is important because with a suitable inventory model applied can succeed the

    business operation and supply chain. A good inventory model can also reduce the

    capital cost where the company can manage the buying amount without the problem

    of exceed inventory. The capital can be invested in other investment to gain higher

    turnover. Therefore, the turnover ratio is increased. Besides that, it can give more

    empty spaces in the warehouse for other purposes. The capital can be invested in

    other investment where have higher turnover.

    The appropriate ordering time and quantity is important to ensure the company have

    sufficient shoes supply to the customer during the production lead time. This is to

    avoid the problems of delaying in products delivery time to customer where it may

    caused the customer to switch to another supplier. Therefore, the company has loss in

    sales and customer satisfactory. The company reputation will also drop and it is hard

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    CHAPTER 2

    LITERATURE REVIEW

    2.1 Definition of Inventory

    Inventory is stock or store of goods (Stevenson, 2007). In manufacturing, inventory

    consists of raw materials, work-in-process, and finished goods. In wholesaling and

    retailing, inventory is the stock of merchandise on hand. In direct marketing,

    inventory may refer to direct-mail package components that are available for mailing

    when needed. In the broadcast and print media industry, inventory is the time or

    space available for sale to advertisers. In magazine publishing, inventory is the

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    A firm can typically stock many of items in inventory. Thus, manufacturing firm

    carry supplies of raw materials, purchased parts, partially finished item and finished

    goods. Inventories may represent a significant portion of total assets, a reduction of

    inventories can result in a significant increase in return on investment (ROI).

    However, many of items have a limited life time, so carrying large quantities would

    mean having to dispose of unused, costly supplies.

    Another consideration has been take is the space requirements of inventory. Space

    limitation may pose restrictions on inventory storage capability, more space can

    increase the storage capability thus more item can stored but also increase the

    inventory holding costs. So it is depend on the functions of inventory. The most

    important functions are to meet anticipated customer demand, to smooth production

    requirement, to decouple operations, to protect against stock outs, to take advantage

    of order cycles, to hedge against price increases, to permit operations and take

    advantage of quantity discounts.

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    In the software era Gordon Graham paved the road for today's inventory

    management consultants. Gordon managed a consulting and training company for

    over 25 years. Gordon spent many years consulting with distributors on how to

    implement quality inventory management practices. Business practices that are easily

    understood and which provide proven results on the distributors bottom line profits

    (Gordon Graham, 1990).

    Charles Bodenstab views order history as an inventory management database and

    brings to it the power of statistical analysis. Charles Bodenstab's involvement during

    the 1950's and 1960's with developing some of the earliest qualitative automated

    approaches to inventory management. Charles has said

    much of the statisticaltheory built into automated inventory control systems completely ignored the day-to-

    day business realities of the typical distributor .

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    2.2.2 Inventory Management Techniques

    2.2.2.1 Demand Forecasting

    Basically, inventory control needs to order the items some time before the customers

    demand them, it is because the lead time between the ordering time and the delivery

    time and also due to certain ordering costs it is often necessary to order in batches

    instead of unit for unit. That s the forecasting need t o look ahead and forecast the

    future demand. A demand forecast is estimated average of the demand size over

    some future period. If the forecast is not certain, more safety stock is required.

    Table 2.1: Forecasting techniques and formulation

    Technique Formula Definitions

    Moving average

    forecast

    Ft =( ! A t-i)/n A = Demand in period t-1

    N = number of periods

    Exponential smoothing Ft = F t-1 + (A t-1 F t-1) = smoothing factor

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    Linear regression

    forecast

    yc = a + bc

    b = (n( ! xy) (! x)( ! y)) /

    (n(! x2) (! x)2)

    a = ( ! y - b! x)/n

    yc = computed value of

    dependent variable

    x = predictor

    (independent) variable

    b = slope of the line

    a = value of y c when x=0

    2.2.2.2 Material Requirement Planning

    Material Requirement Planning (MRP) is a computer based information system that

    translates master schedule requirements for end item into time-phased requirementsfor subassemblies, components, and raw material. The backward from the due date

    using the lead time to determine the time and quantity of the order. An MRP system

    is intended to simultaneously meet 3 objectives:

    a) Ensure materials and products are available for production and delivery to

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    expected to receive by the beginning and receipt offset by lead time. Basically, the

    net requirement can determine by eliminate the gross requirement by available

    inventory. From the MRP, the planned orders, a schedule indicating the amount and

    timing of the future order can be decided.

    2.3 Inventory Counting System

    An inventory control system is an integrated package of software and hardware used

    in warehouse operations, and elsewhere, to monitor the quantity, location and status

    of inventory as well as the related shipping, receiving, picking and put away

    processes.

    2.3.1 Periodic system

    Periodic inventory counting system is a physical count of items in inventory at

    periodic interval in order to decide how much to order of each item, it can be once in

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    Table 2.2: Comparison between periodic and perpetual inventory counting system

    Inventory Counting

    System

    Periodic system Perpetual inventory

    system

    Advantages Orders for many items at

    same time

    Continuous monitoring of

    inventory

    Economies in processing Determine optimal

    production order

    2.4 Inventory Costs

    There are three basic costs in maintaining the inventory; holding, transaction, and

    shortage costs.

    2.4.1 Holding costs

    It is also call as carrying costs, cast is expense associated with maintaining inventory.

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    2.4.1.2Taxes

    Taxing authorities typically assess inventory held in warehouses. The tax rate and

    means of assessment vary by location. The tax expense is usually a direct levy based

    on inventory level on a specific day of the year or average level over a period of

    time.

    2.4.1.3 Insurance

    Insurance cost is an expense based upon estimated risk or loss over time. The item

    that are easily concealed like pocket cameras, transistor radios, calculator and fairly

    expensive like cars, TV are prone to theft and pilferage, and some item that is easily

    light fire like clothing, alcohol, these result in high insurance cost. Beside that, the

    company facilities also influence the insurance cost such as security cameras and

    sprinkler systems that might help to reduce risk.

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    2.4.2 Ordering costs

    It also calls as setup costs, the costs of ordering and receiving inventory. They are the

    costs that vary with the actual placement of an order. Besides transportation cost,

    shipping costs, preparing invoices, inspecting goods upon arrival for quality and

    quantity, and moving the goods into temporary storage. For manufacturer which

    produces its own inventory instead order from supplier, the ordering cost is cost of

    machine setup, such as preparing equipment for job by adjusting the machine and

    changing machine cutting tools are included into ordering costs.

    2.4.3 Shortage costs

    The costs result when demand exceeds the supply of inventory on hand. These costs

    can include the opportunity cost of not making a sale, loss of customer goodwill, late

    charges, and similar costs. Furthermore, if the shortage occurs in an item use at

    internal, it can cause the cost of lost production.

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    There are some assumptions of the basic EOQ model;

    a) Only one product is involved

    b) Annual demand requirement are known

    c) Demand is spread evenly throughout the year so that the demand rate is

    reasonably constant.

    d) Lead time does not varye) Each order is received in a single delivery.

    f) There are no quantity discount

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    and the carrying costs also low, but its need more frequent orders, which increase the

    annual ordering costs. Conversely, when the order size is larger, the average

    inventory is high and therefore the carrying costs is increase, but the ordering costs is

    decrease because the ordering infrequent interval.

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    Annual ordering cost = $!%

    Where; D = Demand, usually in units per year

    S = Ordering cost

    Because the number of orders per year, D/Q, decreases as Q increase, annual

    ordering cost is inversely related to order size as figure above. The graph is showing

    negative exponential. The total annual cost (TC) associated with carrying and

    ordering inventory when Q units are ordered each time is

    Total cost = Annual carrying cost + Annual ordering cost

    &' ( )*#+,)% From this equation, the total cost reaches its minimum at the quantity where carrying

    and ordering costs are equal. Thus;

    -. ( / *012 The length of an order cycle is = Q/D

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    The carrying cost for EPQ is almost same with the EOQ, the different is there are no

    ordering costs, because the product is produce inside production section, and the

    ordering quantity Q is replace by the inventory. The total cost for EPQ is

    Total costs = carrying cost + setup cost

    34567 ( 89:;< 2 +

    =>?1

    where,

    I max = Maximum inventory

    The economic run quantity is

    -. ( / *012 /

    @@AB

    where,

    p = production or delivery rate

    u = usage rate

    The cycle time for the economic run size models is a function of the run size and

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    2.5.1.3 Quantity Discount

    Quantity discount is a price reduction to the customer who order in a large

    purchased. Generally there are two types:

    a) Cumulative quantity discounts (also called accumulation discounts).

    These are price reductions based on the quantity purchased over a set

    period of time. The expectation is that they will impose an implied

    switching cost and thereby bond the purchaser to the seller.

    b) Non-cumulative quantity discounts. These are price reductions based on

    the quantity of a single order. The expectation is that they will encourage

    larger orders, thus reducing billing, order filling, shipping, and sales

    personal expenses.

    When the quantity discount is offered, some consideration have to take; the

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    2.5.2 Ordering Time Interval

    Reorder point (ROP) is when the quantity on hand of an item drops to this amount,

    the item is reordered. This item amount is just sufficient to satisfy the expected

    demand during the lead time. If the demand and lead time is constant, the reorder

    point is simply

    ROP = d X LT

    Where;

    d = demand rate (unit per day or week)

    LT = Lead time in days or weeks (same unit as demand rate)

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    Usually, the demand rate is not constant and variability, so it is necessary to carry

    additional inventory call safety stock, to reduce the risk of running out of inventory

    during lead time. The ROP then is increase by adding the safety stock.

    ROP = expected demand during lead time + Safety stock

    Safety stock is depending on the following factors;

    a) The average demand rate and average lead time

    b) Demand and lead time variability

    c) The desired service level

    The greater variability, the greater amount of safety stock are required to achieve the

    service level, where the probability that demand will nor exceed supply during lead

    time. So, the ROP is

    ROP = Expected demand during lead time + z d LT

    where,

    z = number of standard deviations

    d LT = the standard deviation of lead time demand

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    The safety stock can be divided into three categories, the first is only demand is

    variable, then

    YZ[\ ( YZ] 3, and the reorder point isK_X ( ` a b^3 +cYZ] 3 Where;

    a= average daily or weekly demand

    d = standard deviation of demand per day or week

    LT = lead time in days or weeks

    Second is only lead time is variable, then d LT = d LT , and reorder point is

    K_X ( ` a b^3 +cYZ[\ Whered = daily or weekly demand

    ^3 = average lead time in days or weeksLT = standard deviation of lead time in days or weeks

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    CHAPTER 3

    METHODOLOGY

    3.1 Introduction

    This chapter explained the research methodologies that were used in this study. The

    methodology includes the planning of the study, survey instrument, and flow chart of

    the research, data collection and analysis technique.

    3.2 Planning of Study

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    24

    Figure 3.1: Flow chart for Planning of the Study

    3.2.1 Flow Chart

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