Sale Mode Choice of Product Extended Warranty based on the Service Level

Similar documents
Design of Extended Warranties in Supply Chains. Abstract

Load Balancing Algorithm Based on QoS Awareness Applied in Wireless Networks

Reach Versus Competition in Channels with Internet and Traditional Retailers

Tank Level GPRS/GSM Wireless Monitoring System Solutions

HEAT TRANSFER ANALYSIS OF LNG TRANSFER LINE

A Newer Secure Communication, File Encryption and User Identification based Cloud Security Architecture

South Korean Cultural Diplomacy and Efforts to Promote the ROK s Brand Image in the United States and Around the World

Problem Solving Session 1: Electric Dipoles and Torque

Factors that Influence Memory

A Systematic Approach to the Comparison of Roles in the Software Development Processes

Department of Health & Human Services (DHHS) Pub Medicare Claims Processing Centers for Medicare &

An AnyLogic Simulation Model for Power and Performance Analysis of Data Centres

The (Bad?) Timing of Mutual Fund Investors. Oded Braverman,* Shmuel Kandel,** and Avi Wohl*** First version: February 2005 This version: August 2005

Incorporating Statistical Process Control and Statistical Quality Control Techniques into a Quality Assurance Program

Should I Stay or Should I Go? Migration under Uncertainty: A New Approach

Research on Pricing Policy of E-business Supply Chain Based on Bertrand and Stackelberg Game

THE NAVAJO NATION Department of Personnel Management JOB VACANCY ANNOUNCEMENT INFORMATION SYSTEMS TECHNICIAN

ISSeG EGEE07 Poster Ideas for Edinburgh Brainstorming

Adverse Selection and Moral Hazard in a Model With 2 States of the World

A Model for Antenna-Plasma Wave Coupling towards Control of Uniformity in Slot-Excited Microwave Discharges

Handout 3. Free Electron Gas in 2D and 1D

Optimal Pricing Decision and Assessing Factors in. Closed-Loop Supply Chain

Design for Cyclic Loading

High Voltage Cables. Figure Layout of three, single-core cables

Before attempting to connect or operate this product, please read these instructions carefully and save this manual for future use.

The Casino Experience

Implied volatility formula of European Power Option Pricing

Grade 5 History Program

Improving the security of EAP-EHash authentication method

DEGRADATION MODEL OF BREAST IMAGING BY DISPERSED RADIATION

Instruction: Solving Exponential Equations without Logarithms. This lecture uses a four-step process to solve exponential equations:

Superconducting gravimeter calibration by co-located gravity observations results from GWR C025

Integration of Unemployment Insurance with Pension Through Individual Savings Account

EFFECT OF GEOMETRICAL PARAMETERS ON HEAT TRANSFER PERFORMACE OF RECTANGULAR CIRCUMFERENTIAL FINS

Physics. Lesson Plan #9 Energy, Work and Simple Machines David V. Fansler Beddingfield High School

Prepare for business. Prepare for success

Overview. COSC 6397 Big Data Analytics. Fundamentals. Edgar Gabriel Spring Data Characteristics. Performance Characteristics

UNIVERSITÀ DEGLI STUDI DI NAPOLI FEDERICO II

Agilent Basics of Measuring the Dielectric Properties of Materials. Application Note

by John Donald, Lecturer, School of Accounting, Economics and Finance, Deakin University, Australia

SYSTEMS & SERVICES VENDOR PROGRAMS SPECIALTY MARKET PROGRAMS BE A SPECIALIST OR REFER A SPECIALIST

Sharp bounds for Sándor mean in terms of arithmetic, geometric and harmonic means

IT Update - August 2006

A Note on Approximating. the Normal Distribution Function

Establishing Wireless Conference Calls Under Delay Constraints

I N S T I T U T D E S T A T I S T I Q U E B I O S T A T I S T I Q U E E T S C I E N C E S A C T U A R I E L L E S (I S B A)

Analyzing the Economic Efficiency of ebay-like Online Reputation Reporting Mechanisms Chrysanthos Dellarocas

Events and Constraints: A Graphical Editor for Capturing Logic Requirements of Programs

Monetary Policy Shocks and Stock Returns: Evidence from the British Market

Econ 371: Answer Key for Problem Set 1 (Chapter 12-13)

PHYSICS 206a HOMEWORK #11 SOLUTIONS

Every manufacturer is confronted with the problem

New Basis Functions. Section 8. Complex Fourier Series

Gravity and the Earth Newtonian Gravity and Earth Rotation Effects

CPU. Rasterization. Per Vertex Operations & Primitive Assembly. Polynomial Evaluator. Frame Buffer. Per Fragment. Display List.

Defending DoD Missions in the Commercial Cloud

Spring 2014 Course Guide

Closer Look at ACOs. Designing Consumer-Friendly Beneficiary Assignment and Notification Processes for Accountable Care Organizations

FEE-HELP INFORMATION SHEET FOR DOMESTIC FULL FEE STUDENTS

WORKING PAPER. Design Of Extended Warranties In Supply Chains

GUIDELINE. Guideline for the Selection of Engineering Services

Gold versus stock investment: An econometric analysis

Bankruptcy law and firms' behavior

6 Funding and Staffing the Central IT Help Desk

The Role of the Community Occupational Therapist

Impulse and Linear Momentum 5

Parallel and Distributed Programming. Performance Metrics

9 Setting a Course: Goals for the Help Desk

QUANTITATIVE METHODS CLASSES WEEK SEVEN

Controlling the Money Supply: Bond Purchases in the Open Market

Designing of Closed Loop Controller for 3 Phase to 3 Phase Power Conversion Using Matrix Converter

FACULTY SALARIES FALL NKU CUPA Data Compared To Published National Data

Basis risk. When speaking about forward or futures contracts, basis risk is the market

LG has introduced the NeON 2, with newly developed Cello Technology which improves performance and reliability. Up to 320W 300W

Fraud, Investments and Liability Regimes in Payment. Platforms

10 Evaluating the Help Desk

Converting knowledge Into Practice

Hydrogen-like Atoms. We can separate the center of mass motion from the internal motion by the transformation

Keywords Cloud Computing, Service level agreement, cloud provider, business level policies, performance objectives.

Financial Mathematics

Gas Exchange Process. Gas Exchange Process. Internal Combustion Engines MAK 493E. Prof.Dr. Cem Soruşbay Istanbul Technical University

Mathematics. Mathematics 3. hsn.uk.net. Higher HSN23000

State of the Nursing Profession in the U.S. Carolina G. Huerta EdD, MSN, RN, FAAN

ME 612 Metal Forming and Theory of Plasticity. 6. Strain

Motorola Reinvents its Supplier Negotiation Process Using Emptoris and Saves $600 Million. An Emptoris Case Study. Emptoris, Inc.

Question 3: How do you find the relative extrema of a function?

IMES DISCUSSION PAPER SERIES

fiziks Institute for NET/JRF, GATE, IIT JAM, JEST, TIFR and GRE in PHYSICAL SCIENCES NUCLEAR AND PARTICLE PHYSICS NET/JRF (JUNE-2011)

Who s Missing? Who Cares:

Closer Look at ACOs. Making the Most of Accountable Care Organizations (ACOs): What Advocates Need to Know

union scholars program APPLICATION DEADLINE: FEBRUARY 28 YOU CAN CHANGE THE WORLD... AND EARN MONEY FOR COLLEGE AT THE SAME TIME!

Intermediate Macroeconomic Theory / Macroeconomic Analysis (ECON 3560/5040) Final Exam (Answers)

CUTTING METHODS AND CARTESIAN ROBOTS KESME YÖNTEMLERİ VE KARTEZYEN ROBOTLAR

Episode 401: Newton s law of universal gravitation

WORKERS' COMPENSATION ANALYST, 1774 SENIOR WORKERS' COMPENSATION ANALYST, 1769

Logo Design/Development 1-on-1

Panel Discussion: Evolving DoD Security Requirements for Cloud

Transcription:

Intnational Jonal of - and - Svic, Scinc and Tchnology Vol8, No 8 (015, pp1-1 http://dxdoiog/101457/ijnsst0158801 Sal od Choic of Podct Extndd Waanty basd on th Svic Lvl Li Ji School of Infoation Tchnology, Jiangxi Univsity of Financ & Econoics High Lvl Engining sach Cnt of Elctonic-Coc, Jiangxi Povincial Collgs and Univsitis Nanchang City, China jc_liji@163co Abstact Basd on ast-slav two-chlon spply chain, st a spaat pic fo podct xtndd waanty, and fo both a podct flcting th isk avoidanc by th csto and th dand fnction fo podct xtndd waanty Stdy how svic lvl tnds to inflnc dobl aginal ffct and coplntay ffct of th spply chain And fth analyz how svic lvl tnds to inflnc th sal od choic of podct xtndd waanty by th anfact and povid thois on th dcision aking fo th anfact Kywods: Sal od choic, Podct xtndd waanty, Svic lvl, Ga thoy 1 Intodction Und th acclation of global conoic intgation pocss, anfacts, to sk nw pofit, hav dvlopd a nw svic od: Podct xtndd waanty (Cohn & Agawal, 006 Podct xtndd waanty fs to th svic which xtnds th podct waanty Podct xtndd waanty is th svic contact ad by and aong th cons, th anfact and th tail o thid-paty povid, which can b pchasd by th cons It povids conss with th oppotnity of attaining th svic ot of th podct waanty piod, sch as th aintnanc of th podct; bsids it boadns th akt fo th svic povid Fo th abov aspct, podct xtndd waanty is considd th nw pofit soc fo th povid (thy & Djaaldin (00; La & Kwok (001; Alba & Wily (010 Cntly, on of th ain sach aas of podct xtndd waanty lis in its sal od choic and its ipovnt Xia tc(007, by sing Ga Thoy, illstats how th sal od choic of aft-sal svic inflncs th pfoanc of th spply chain syst Xia conclds that sb-ga qilibi by th two patis of Ga Thoy (anfact and tail dpnds on who is togh than th oth In th spply chain syst doinatd by th anfact, th anfact chooss th tail to sll svic only whn th aginal cost of th svic is lativly low; whil in th spply chain syst doinatd by th tail, th tail is activly willing to povid th distibtion svic fo th anfact in od to incas its pofit Wang S-Jan (010, by dfining th attactivnss indx of podct xtndd waanty, qantitativly xplos th ffct casd by th indx to th sal od choic of podct xtndd waanty Wang conclds that aong th conss who hav boght th podct, whn only a fw conss by podct xtndd waanty, th anfact is likly to choos th od of ltting th tail povid podct xtndd waanty; Whn all th conss by podct xtndd waanty, th anfact, by sing th attactivnss indx ang of podct xtndd waanty fo fnc, choos on favoabl od on whth podct xtndd waanty is povidd by th anfact o by th tail ISSN: 005-446 IJUNESST Copyight c 015 SESC

Intnational Jonal of - and - Svic, Scinc and Tchnology Vol8, No 8 (015 Dsai(004, by applying Ga Thoy, stdis th channl coodination of podct xtndd waanty povidd by th anfact, which finds ot that it is good fo th anfact to sll podct xtndd waanty by ans of Dobl Channl Aong th litat on th sal od of podct xtndd waanty, Wang (010 dosn t consid th ffct casd by th cons s isk avoidanc to Podct Extndd Waanty In fact, howv, as th aft-sal svic which dcass th isk fo th cons, podct xtndd waanty closly lats to th dg of cons s isk avoidanc Dsai (004 dosn t concn th falt at constaint of th podct, and h dosn t analyz th ffct to th anfact s akting channl casd by th standad of podct xtndd waanty ad by th anfact, which inclds th scop and th qality of podct xtndd waanty Whil svic standad dictly flcts podct xtndd waanty, which gatly inflnc th anfact s dcision on th sal od choic of podct xtndd waanty Li Ji & Li Jian (013 fo th pspctiv of spply chain anagnt, Usd th ga thoy to constct odls fo fo ods of waanty svic and th svic indx was also intodcd to th analysis On th iss of th dict-slling od o th taditional tail od of podct xtndd waanty, th is th dobl aginal ffct in th taditional tail channl, and th is th coplntay ffct btwn podct xtndd waanty and th podct itslf, both of th ffcts hav ipact on th pofit that th anfact gains nd th two sal ods Coplntay ffct lis in th inflnc casd by th svic standad to both th akt dand fo th podct and th dand fo podct xtndd waanty; Dobl aginal ffct lis in th inflnc casd by th cost of podct xtndd waanty, sinc th svic standad is doinatd by th cost of podct xtndd waanty Thfo, th adjstnt of th svic standad tnds to inflnc th dg of both dobl aginal ffct and coplntay ffct of th spply chain fo podct xtndd waanty, ths will affct th anfact on th sals od choic of podct xtndd waanty This aticl, basing on th abov sach, by considing th dg of th isk avoidanc by th cons, will fo th dand fnction fo th podct and podct xtndd waanty It will also stdy how th svic lvl of podct xtndd waanty inflncs both th dobl aginal ffct and th coplntay ffct of th spply chain fo podct xtndd waanty And it will fth pt fowad th choic statgy fo th sal od of podct xtndd waanty by th anfact and povid th thois fo th dcision aking in th spply chain odl 1 Pobl Dsciption and Assptions W will stdy th ast slav two-chlon spply chain syst which contains singl anfacts and singl tails, in which th podct is povidd by th anfacts and is sold by th tails, ftho th podct xtndd waanty is povidd by th anfacts which can b sold by th tail channl o th dict-slling channl Basd on pspposition that th podct taild pic is p, th podct xtndd waanty pic is p, whn th cons only by th podct (anwhil th cons did not by th podct xtndd waanty, th cons s an-vaianc tility fnction is 0 E( U0 Va( U0 (1 (1 p (1 is th basic tility of th nit podct, (0,1 is alfnction at ding th podct lif cycl, U is th ando tility whn th whn th cons only by th podct 0 (anwhil th cons did not by th Podct xtndd waanty Spposd th ando tility U follow two-point distibtion, that is 0 p p 0 U0 ~,thn in qation (1, 1 Copyight c 015 SESC

0 Intnational Jonal of - and - Svic, Scinc and Tchnology Vol8, No 8 (015 E( U (1 p is th tility which th ntal isk cons gain whn h by th nit podct Va( U0 (1 in qation (1 is th isk avsion cons isk cost(xiao & Yang 009; Tsay 00, is th cons avsion dg, in gnal 0,whn 0,it ans th cons is ntal isk; th o bigg th is, th high th cons avsion dg is If th is bigg than th citical point, that is to say, th cons avsion dg is so high that thy did not choos to by podct asily lt alon to by cosponding podct xtndd waanty Whn th cons isk avsion dg is not high, th cons will choos to by podct xtndd waanty to contact so isk which is boght by th podct alfnction Spposd q (0,1 is th anfact podct svic lvl sch as podct xtndd waanty ang and qality will diff with th podct xtndd svic lngth and its pic Aft th cons by th podct xtndd waanty, h can gain th tility copnsation by th podct xtndd svic povidd by th anfact ding th podct lif cicl in which th podct gos wong So whn th cons bys th podct and podct xtndd svic at th sa ti, th cons s an-vaianc tility fnction is 1 E( U1 Va( U1 ( (1 p p q (1 q (1 U is th cons ando tility who not only by th podct bt also th Podct 1 xtndd waanty Spposd th ando tility U follow two-point distibtion, that is 1 0 ~ p p q p p U 1 1 Siilaly, in ( E( U1 (1 p p q is th tility of th isk ntal conss who by th nity podct and its podct xtndd waanty Va( U1 (1 q (1 in qation ( is th isk cost of th isk avsion cons who by th podct and xtndd waanty In od to ak th discssion o aningfl, w sppos th lvant paat st t (1 p 0 and p q 0, i,: q p 1 Spposd th anfact s podction cost is c, fo podct xtndd waanty cost is latd to th podct xtndd waanty lvl and th alfnction at, so th fnc Hs (008, spposd th nit podct xtndd waanty avag cost povidd by anfact is kq, k is th nit podct xtndd waanty cost fficincy cofficint povidd by th anfacts Th o sall k is, th high th podct xtndd waanty fficincy which is povidd by th anfacts is Podct Extndd Waanty Spply Chain odl and th Eqilibi Statgis 1 Podct Extndd Waanty Dands In Th Cas Of Cons isk Avsion Fo th diffnt cons isk avsion dg, th cons dands of th podct and xtndd waanty is diffnt So w can divid th cons into th typs: On is th conss who only by th podct; th scond is th conss who by th podct and th xtndd waanty at th sa ti; th thid is th cons who giv p by podct showing as th Fig 1 (1 Th conss who only by th podct Whn th cons s isk avsion dg is not high, th tility is bigg whn th conss only by th podct Th cons will choos to by podct instad of bying podct xtndd waanty to contact so isk which is boght by th podct alfnction Showing as th Fig 1, tility lationship which t th cons is: 0, spposd th cons s isk 1 * avsion dg of this typ is [0, ] Copyight c 015 SESC 3

Intnational Jonal of - and - Svic, Scinc and Tchnology Vol8, No 8 (015 Fig 1 Th Cons Dands Analyss of th Podct and Extndd Waanty ( Th conss who by th podct and th xtndd waanty at th sa ti Whn th cons isk avsion dg gos p gadally, th cons will choos to by podct xtndd waanty to contact so isk which is boght by th podct alfnction Showing as th Fig 1, tility lationship which t th cons is * ** 0, spposd th cons s isk avsion dg of this typ is 1 (, ] (3 Th conss who giv p to by podct, considing th podct isk and th ngativ tility Whn th cons isk avsion dg is too big, th cons will choos to giv p bying th podct and th cosponding xtndd waanty fo choosing bying cosponding xtndd waanty jst only dc pat of th ngativ tility boght by th isk, which cannot ak th gnal tility positiv Utility lationship which t th cons is: 1 0, spposd th cons s isk avsion ** dg of this typ is (, ] Fo th podct xtndd waanty is intodcd in this chapt and th conss a dividd into th typs accoding to th isk avsion lvl W contin to bild podct dand fnction by th cons isk avsion dg Showing as th fig 1, if th cons s isk avsion dg is th citical point *,it is no diffnc fo conss who only by th podct o by th xtndd waanty at th sa ti, i 0 so fo qation (1 and ( can concld 1 * p q (3 q( q (1 ** Siilaly, if th conss, isk avsion dg is, th tility is no diffnc fo conss who by th podct and th xtndd waanty at th sa ti, o giv p to by podct, that is, 1 0 So fo th qation (,w concld: ** (1 p p q (4 (1 q (1 ** Appantly, th tility of th cons whos isk avsion is at [0, ], is gat than zo, thy will choos to by th podct Accoding to th ita & Wbst (008 dand fnction bilding od, thn th podct dand fnction is: ** (1 p p q D (5 (1 q (1 * ** Th tility of th cons whos isk avsion is at [, ] can t 1, thy not 0 only choos to by th podct bt also by th xtndd waanty So th podct xtndd waanty dand fnction is ** * (1 p p q p q D (6 (1 q (1 q ( q (1 Th od Und th od, th podct xtndd svic is povidd by th anfacts and a sold with th podcts by tails, which is sd by Fod oto, Appl tc Ding th 4 Copyight c 015 SESC

Intnational Jonal of - and - Svic, Scinc and Tchnology Vol8, No 8 (015 Stacklbg pocss aong th two-chlon spply chain b, th anfacts as th lad, axiiz own pofit by dciding th podct wholsal pic w and th podct xtndd svic wholsal pic w in th fist stag In th scond stag, accoding to th wholsal pic which is ad by th anfact, th tails as th follow, axiiz own pofit by dciding th podct tail pic p and podct xtndd svic tail pic p Adopt backwad intodction, th soltion pocss as following: Th fist stp, in th scond stag, th pofit fnction of th tail ( pp, is ( p, p ( p w D ( p w D (7 Usd th qation (5 D and (6 D pt into (7,w can find: (1 p p q ( p, p ( p w (1 q (1 and (1 p p q p q ( p w[ ] (1 q (1 q ( q (1 0; p (1 q (1 1 1 [ ] 0 So that, ( pp, p (1 q (1 q ( q (1 is concav fnction of p and p, th tail hav th optial pic statgy, st ( p, p 0 and p ( p, p 0, hav: p (1 w p p q w Scond, in th fist stag, th anfact pofit fnction ( ww, is: (8 (9 ( w, w ( w c D ( w kq D (10 Us qation (8 and (9 a sbstittd in (10, th anfact hav th optial pic statgy, st ( ww, 0 and ( ww, 0, can find: w w (1 c w (11 q kq w (1 Finally,Us qation (11 and (1 sbstittd in (8 and (9, can find: 3(1 c p (13 4 3q kq p (14 4 Accoding to hypothsis, and th qation (13, st 3(1 c p (1, that is, 4 latd paat st t: c(1 ;Thn accoding to qation (11, if p w, so 1 c If th at of podct alfnction is too high (fo xapl 1, it will cas th podct qality dcas, which will dc th podct dand So th at of podct alfnction which t this intval dand is asonabl Accoding to th hypothsis, Copyight c 015 SESC 5

Intnational Jonal of - and - Svic, Scinc and Tchnology Vol8, No 8 (015 latd paat st t q p 1, if qation (14, thn q 1, bt, k accoding to th qation (1, thn p w Appantly, th podct xtndd svic pic ad by tails st ain low in od to gaant th svic lvl of th podct xtndd svic Th tails will hav ino loss ding th pocss of slling th podct xtndd svic ** * In addition, accoding to th qation (6, fo D 0, thn ( c 0 q Obviosly, if th svic lvl of th podct xtndd svic c k appa incdibly high, it will slt in th opposit inflnc on th dand of th podct xtndd svic vn on th podct dand So, w can know th intval of podct xtndd svic lvl ( q nd th od: ( c q (, k c k At th ont, th pofit of th anfact nd th od is: 3 [(1 q k q (1 q k q ] ( q ( c[(1 q k q ] ( q ( c 8 (1 ( q(1 q In addition, th pofit of th tail is: (1 c q kq (1 q 3 Th od (1 q q c q k q q k q [ ] (1 (1 ( (1 3 q q (15 Und th od, th podct xtndd svic is povidd by th anfact and a sold with th podcts by tail, which is sd by Fod oto, Appl tc Ding th Stacklbg pocss aong th two-chlon spply chain b, th anfact, as th lad, axiiz own pofit by dciding th podct wholsal pic w and th podct xtndd svic wholsal pic w, in th fist stag In th scond stag, accoding to th wholsal pic which is ad by th anfact, th tail as th follow, axiiz own pofit by dciding th podct tail pic p and podct xtndd svic tail pic p Adoptd backwad intodction, th soltion pocss is as following: Th fist stp, in th scond stag, th pofit fnction of th tail ( p is: ( p ( p w D (16 If D in qation (5 is sbstittd in (16, th slt is: (1 p p q ( p ( p w (1 q (1 Easy to know: 0, ( p is th concav fnction of p, th p (1 q (1 tails hav th bst picing statgy anwhil, in th fist stag, th pofit fnction of th anfact ( p is: ( p ( w c D ( p kq D (17 If D in qation (5 and D in (6 a sbstittd in qation (18, th slt is: 6 Copyight c 015 SESC

Intnational Jonal of - and - Svic, Scinc and Tchnology Vol8, No 8 (015 (1 p p q ( p ( w c (1 q (1 (1 p p q p q ( p kq [ ] (1 q (1 q ( q (1 Easy to know, ( p is th concav fnction of p,th anfact hav th bst picing statgy fo th podct xtndd waanty tail pic ( p By 0 and p ( p 0, th soltion is: p * ( w q ( q q ( w c kq p 4 ( q q p * ( ( 3 (1 4 ( q q q q c w k q q q Th scond stp, in th fist stag, th anfact dcid th wholsal, if qation (18 and (19 a sbstittd in (17, th anfact hav th bst picing statgy fo wholsal w,if 0, th soltion is: p * (1 c ( kq q [ c (1 ] (0 w q( q ( q (4 q If qation (0 is sbstittd in qation (18 and qation (19, th soltion is: p p * 3(1 c ( kq q[4 ( q q ] [ c (1 ]( q q * 4 4( q (4 q 3q k q 4 ( kq q[8 5( q q ] 4[ c (1 ]( q q 4( q (4 q * * On th basis of qation (0 and (1, accoding to th assption,st p w, i, p * * ( q q [( (1 c ( kq q] w 0 ( q (4 q Bcas q (0,1, q q 0,to ak th abov fola stablishd, th latd paat st t: (1 c k q q 0 In this cas, q in (,0 (,, cobind pactical significanc of th podct k xtndd waanty lvl, q (0,1 So th condition that t q is: q (,1 If k st (1 c (1 c, siplification: c, obtain 1 c,thn if kq q ( k k c c 1, th ang of is c [0,1 ] ; If c c 1, th ang of is c [0, ] k k k Podct dands: * ( [( (1 c ( kq q] D q q ( (4 (1 q (1 q q Podct xtndd waanty dands: * [( (1 c ( kq q] D 3 ( (4 (1 q q q (1 4( kq q ( kq q q q q (4 q ( q ( (1 (4 ( q (1 (18 (19 (1 ( Copyight c 015 SESC 7

Intnational Jonal of - and - Svic, Scinc and Tchnology Vol8, No 8 (015 If, D 8 ( q q [( kq q(1 ((1 c] * * ( q q D ( q (4 q (1 q 3 33 4 4 3 0 Th following is gnal l, if 3, th condition that t q is: Th pofit of th anfact is: + ( q ( c * 1 (1 (4 q ( q ( q (1 q 5 3 q 4 q q N1 q 3q, So th soltion: q (, k 3 (3 1 N1 N N, 3 4 4 6 4 5 3 q 5 q N ( q q k, q 4 q 3q N3 ( q q kq, 4 4 3 3 ( q 6q 4 [6qc ( c k q kq 4 c] kqc 4kq c 3 Analytical slts Th anfact xtnd th podct akt bt also gain o pofit by slling podcts and poviding cosponding xtndd waanty, bt also slt in pofits diffntial aong th anfact nd th diffnt sal od of xtndd waanty Slling podcts and cosponding xtndd waanty, affct th cons podct dands and tility and cas th ltiat pofit diffntial aong tails Copaing th pofit diffntial nd diffnt sal od, this sction discsss th od choic of xtndd waanty fo th anfact, tail and spply chain aspcts Obviosly, fo qation (15 and (3, w can div th anfact pofit * * * diffntial nd od and od Bt is th high od * polynoial abot q,so it is difficlt to ctain analytical fola abot q Siilaly, th tail pofit and th spply chain pofit a difficlt to analyz dictly Using nical xapl, w discss how th xtndd waanty lvl affct th anfact and th spply chain pofit nd th od and th od 31 Podct Extndd Waanty Sal od Slction in th anfact Spposd th podct basic tility 00, th anfact cost fficincy facto k 1000, th fixd cost of podction fo anfact c 40, th condition that t q ( q is podct xtndd waanty lvl is ( c 8 5 q [, ] [0, ] k c k 4 0 Th condition that t q (, (0,067 W discss th cosponding k 3 conclsion within th aningfl ang of th both abov Spposd 0, discss th chang of q within th ang [04, 065] Spposd 0, w can div p 130 and w 100 Th oth slts nd od show as Tabl 1 Tabl 1 Th Eqilibi slts nd th od ( 0 q D D p w sc 04 113 103 0 4 5946 973 8919 045 16 113 36 93 680 3140 940 8 Copyight c 015 SESC

Intnational Jonal of - and - Svic, Scinc and Tchnology Vol8, No 8 (015 05 141 15 75 35 6563 381 9844 055 157 138 316 413 6770 3385 10155 06 176 153 36 48 6864 343 1096 065 196 170 406 553 679 3396 10188 Th oth slts nd od show as tabl Tabl Th Eqilibi slts nd th od ( 0 q * * * * D D p w * * * p * sc 04 138 137 179 96 163 5590 4383 9973 045 156 149 163 961 14 599 473 1065 05 177 16 144 961 73 654 5001 1155 055 00 177 1 96 339 655 518 11734 06 6 194 1197 966 41 6798 55 103 065 54 13 1169 97 49 6958 5069 107 Fo th Tabl 1 and Tabl, w can div th podct xtndd waanty lvl cv gaph (Fig nd th od and th od, which changs with th pofit 7000 6800 6600 pofit of th anfact od 6400 600 od 6000 5800 Svic lvl 045 050 055 060 065 070 Fig Th Changs with th Pofit of th anfact in th, od Fo th Fig, as to th anfact pofit nd th od, with th ang q (04,061,th anfact pofit incass with th ipovnt of th podct waanty svic lvl; if q 061,th pofit of th anfact gos down with th podct waanty svic lvl dclin As to th anfact pofit nd th od, with th ang q (04, 065, th anfact pofit incass with th waanty svic lvl ipovnt It donstat th inflnc of th waanty lvl which affct th anfact pofit t th law of diinishing aginal tility Whn th waanty lvl is low, it is sfl to ipov podct waanty svic lvl to attact o conss to by th podct and waanty svic Whn th lvl is to a ctain xtnt, at that ti, to contin to povid th lvl of svic can only incas th waanty svic costs, thby dcing th pofit of th anfact anwhil, within th ang q (04,061, anfact pofit nd th od is high than th pofit nd od On th contay, anfact pofit nd th od is high than th pofit nd od It illstat that th inflnc that waanty lvl affct slction statgy of th anfact xtndd sals od is sgntal Whn th waanty lvl is not high, th sals od nd od is th bst slction statgy fo anfact Whil th waanty lvl is copaativly high, th sals od nd od is th bst slction statgy fo anfacts Bcas whn th anfact sll th xtndd waanty nd od, th tail nd th od will not consid th coplntay ffct btwn th podct and th xtndd waanty, only ps axiizing its pofit althogh th is not dobl aginal ffct nd this od Copyight c 015 SESC 9

Intnational Jonal of - and - Svic, Scinc and Tchnology Vol8, No 8 (015 Whn th waanty lvl and th cost a copaativly low, th dobl aginal ffct is wak Th tail will consid th coplntay ffct btwn th podct and th xtndd waanty, appopiatly dc th waanty pic, xpand podct and waanty svic dand to incas th pofit fo th podct and th xtndd waanty In this cas, Coplntay ffct is lag than th dobl aginal ffct, it is bnficial fo anfacts to sll xtndd waanty nd od fo Podct waanty svic nds incas with th waanty svic pic dcas Accopany th xtndd lvl going p gadally, th xtndd cost is which infoc th dobl aginal ffct, which dc th tail pofit fo th xtndd waanty aising xtndd waanty pic is th only way to aintain pofit which wak th coplntay ffct and dc th podct dands, which daags anfact pofit In that cas, it is bnficial fo th anfact to slct sals od nd od to dc th dobl aginal ffct on th spply chain 3 Podct Extndd Waanty Sal od Slction in th Spply Chain In th sa way, fo th Tabl 1 and Tabl, w can div th podct xtndd waanty lvl cv gaph (Fig 3 nd th od and th od, which changs with th spply chain pofit 13000 1000 pofit of th spply chain od 11000 od 9000 045 050 055 060 065 070 Svic lfl 8000 Fig 3 Th Changs with th Pofit of th Spply Chain in th, od Fo th Fig 3, as to th spply chain syst pofit nd th od, with th ang q (04, 06, th spply chain syst pofit incass with th ipovnt of th podct waanty svic lvl ; If q 06,th spply chain syst pofit gos down with th podct waanty svic lvl dclin As to th spply chain syst pofit nd th od, with th ang q (04, 06, th spply chain syst pofit incass with th waanty svic lvl ipovnt It donstat th inflnc of th waanty lvl which affct th spply chain syst pofit t th law of diinishing aginal tility anwhil, within th ang q (04, 05, th spply chain syst pofit nd th od is high than th pofit nd od On th contay, spply chain syst pofit nd th od is high than th pofit nd od Th waanty svic lvl is not high, th sals od nd th od is th bst slction statgy fo th spply syst whil th waanty lvl is high th sals od nd th od is th bst slction statgy fo th spply syst 4 Conclsion This aticl analyz inflnc of th xtndd waanty lvl which affct anfact and spply chain pofit in diffnt sal od and th bst slction statgy Th stdy donstat: Th inflnc of th waanty svic lvl which affct th anfact pofit nd th od and th od t th law of diinishing aginal tility Th inflnc that waanty lvl affct slction statgy of th anfact xtndd sals od is sgntal Th waanty lvl is not high, it is bnficial fo th 10 Copyight c 015 SESC

Intnational Jonal of - and - Svic, Scinc and Tchnology Vol8, No 8 (015 anfact to slct sals od nd od whil h waanty lvl is high, it is bnficial fo th anfact to slct sals od nd od So th anfact shold consid flly th abov cathatic to povid th pop xtndd waanty lvl instad of blindly aising costs which dc pofits As to th od slction, basd on a vaity of factos sch as own ability and th qality of th podcts, th anfact shall slct th appopiat od to sll thi xtndd waanty within th scop thy can povid to axiiz pofit ACKNOWLEDGEENTS This wok was sppotd by th National Natal Scinc Fondation of China (NO7161006, 71461009, 71461010 fncs [1] A Cohn and S Whang, Copting in podct and svic: A podct lif-cycl odl, anagnt Scinc, vol 43, no 4, (1997, pp 535-545 [] D thy and I Djaaldin, Nw podct waanty: a litat viw, Intnational Jonal of Podction Econoics, vol 79, no 3, (00, pp 31-60 [3] Y La, K W P La, An xtndd waanty policy with options opn to conss, Eopan Jonal of opation sach, vol 131, no 3, (001, pp 514-59 [4] G Alba and J Wily, Cons pcptions of xtndd waantys and svic povids, Jonal of Cons akting, vol 7, no 6, (010, pp 516-53 [5] Y S Xia and S Gilbt, Statgic intactions btwn channl stct and dand nhancing svics, Eopan Jonal of Opational sach, vol 181, no 1, (007, pp 5-65 [6] P S Dsai and P Padanabhan, Dabl good,xtndd waanty and channl coodination, viw of akting Scinc, vol, no 1, (004, pp 1- [7] L Ji and L Jian, Spply chain xtndd waanty svic ods analysis basd on svic-snsitivindx, Contol and Dcision, vol 8, no 7, (013, pp 1103-1108+111 [8] T Xiao and D Yang, Pic and svic coptition of spply chains with iskavs tails nd dand nctainty, Int J Podction Econoics, vol 114, no 6, (008, pp 187-00 [9] A A Tsay, isk snsitivity in distibtion channl patnships: iplications fo anfact tn policis, Jonal of tailing, vol 78, no, (00, pp 147-160 [10] S Hs, Spply chain Dynaics nd xtndd waanty sals, Woking Pap, Indiana Univsity, (008 [11] K Li and S allik, Dsign of xtndd waantis in spply chains nd additiv dand, Podction and Opations anagnt, vol 1, no 4, (01, pp 730-746 [1] J-C F, H oa and F Olivas, On picing of ltipl bndls of podcts and svic, Eopan Jonal of Opational sach, vol 06, no 1, (010, pp 197-08 [13] B Jiang and X Zhang, How dos a tail s svic plan affct a anfact s waanty, anagnt Scinc, vol 57, no 4, (011, pp 77-740 Athos Li Ji, civd th PhD dg in anagnt Scinc and Engining fo Jiangxi Univsity of Financ & Econoics in 013 H is cntly a lct in Jiangxi Univsity of Financ & Econoics His sach focss on spply chain anagnt, svic scinc and opation anagnt Copyight c 015 SESC 11

Intnational Jonal of - and - Svic, Scinc and Tchnology Vol8, No 8 (015 1 Copyight c 015 SESC