Are these assumptions valid and how do you judge validity

Assignment Help Supply Chain Management
Reference no: EM131349301 , Length: word count:2000


1. Background

In the classic inventory model presented, it is assumed that the quality of all products is satisfactory, so that they can be sold to the market eventually. In practice however, product quality is an issue of not only economical, but also social, importance. For instance, during the launch period of PS4 console, Sony discovered that this new product has a 0.4% defect rate (LNS Research, 2013). In 2014, Toyota recalled 380,000 automobiles worldwide due to various defects and malfunctions (Fortune, 2014).

Despite the large impact of production defects on companies business performance, little is known about how it affects production and inventory dynamics. In this assignment, you are expected to

  • Based on the linear inventory model, systematically investigate the relationship between the level of defect and inventory system performance;
  • Conceptually and mathematically extend the linear model, to incorporate more defect related issues/characteristics;
  • Through observation of output graphs and numerical assessments, compare and contrast the difference in system performance, and analyse the effect of these extensions.

2. Linear inventory model with constant defect rate

The model is established for a single-product, single-echelon, periodic-review inventory system. For simplicity, all linear assumptions (free returns, backorder, etc.) are made in this model. Production lead-time is assumed to be constant and equal to 4 periods.

The following notations should be used in this assignment:

Dt Demand (consumption) in period t

t Demand forecast for period t

Ot Order quantity in period t

It Inventory level at the end of period t

Wt Work-in-progress (WIP) level at the end of period t

β Coefficient of inventory feedback

λ Defect rate

ss Safety stock

L Production lead-time, L = 4

It is assumed that the defect rate in a single batch is constant. That is, for any period t, the number of defected products is λOt. These products are to be discarded and should not be used to replenish the inventory.

The company uses naive forecasting to generate demand forecast, which is

t = Dt-1

A proportional order-up-to policy is used to determine the order quantity:

Ot = Dˆt + β(ss + 3Dˆt - It - Wt)

The inspection of defected product can only be made when the production is complete. So the balance equation of WIP is not affected by defects; only inventory balance equation is.

Wt = Wt-1 + Ot-1 - Ot-4

It = It-1 + (1 - λ)Ot-4 - Dt

3. Simulation analysis

Based on the mathematical model above (and the extended model later), establish a simulation model with spreadsheet to investigate the following problem:

  • (Q1) How do the feedback coefficient β and the defect rate λ affect the bullwhip ratio σ2O2D and the NSAmp ratio σ2I2D?

The demand follows a normal distribution with the expectation of 100 and standard deviation of 5.

4. Model evaluation and extension

It is essential to realize that any model is faulty from reality. More complex models are generally better at representing the real case. On the other hand, good models achieve better balance between model complexity and tractability.

For the model presented in §2, think about the following:

  • (Q2) What assumptions are made in this model with regard to defects?
  • (Q3) Are these assumptions valid? How do you judge validity?
  • (Q4) How do you extend the model to relax the assumption(s) which is/are deemed invalid?

5. Comparative analysis

Conduct the simulation analysis again based on the extended model. Compare the simulation results and answer the following question:

  • (Q5) Does the removal of assumptions change the answer to Q1? If so, to what degree?

6. Report

The following parts should be included in the final report.

1. Simulation analysis

You should provide evidence (e.g. sample screen-shots) of the simulation model and the procedure of analysis. Results in numerical and graphical forms (e.g. tables and figures) will greatly enhance the readability. You should also provide a summary to answer the question in §3.

2. Model evaluation and extension

Proper justification should be given when evaluating the assumptions in the basic model. Reliable sources of information include (but are not limited to) published literature and case studies. Extended model needs to be presented in both conceptual and mathematical forms. New variables and parameters need to be properly defined before use.

3. Comparative analysis

Here you should carefully design the method of analysis and presentation of results. Again, numerical results and graphics (if designed properly) with the assistance of textual explanation is helpful.

The report should also be written in fluent plain English (10%) and show clear organization.

Reference no: EM131349301

Concepts and models of global supply chain management

Critically analyse the theory, concepts and models of global supply chain management to interpret and understand complex and ambiguous risks in global logistics and supply cha

Low-level-coded bom and indented part list

One unit of A is made up of two units of B, three units of C, and two units of D. B is composed of one unit of E, and two units of F. C is made up of two units of F and one un

Implement green supply chain management

ERCBA 110 Supply Chain Management Assignment. What are the advantages and disadvantages for SME to implement Green Supply Chain Management? Explain with relevant example of a

Discuss the importance of load securing in unitization

Discuss the differences between rigid and nonrigid containers. Discuss the importance of load securing in unitization and what benefits do flexible unit-load materials have in

Formulate an lp to minimize steelcos costs

Demand may be backlogged at a cost of $70 per ton month. That is, if 1 ton of month 1 demand is met during month 3, then a backlogging cost of $140 is incurred. At the beginni

Perform a total cost of ownership analysis select a supplier

Perform a total cost of ownership analysis and select a supplier., If the warehouse size and administrative restrictions are resolved, would it make economic sense to order in

Why is empowerment a critical element in quality management

Why is empowerment a critical element in total quality management? What are the disadvantages of empowerment? Please provide examples or explanations to support your views.

Describe the organizations and functions

Describe the organizations and functions in the supply chain for the company you have chosen for your Supply Chain Management Improvement Proposal. Compare and contrast that



1/11/2017 12:28:07 AM

This is the date on which i have to submit it further, so i need sufficient time to format and resolve all deficiencies (if found any) before that. At least i need the solution files. I would need the solution and essay in MS Words file and the simulation in MS Excel spreadsheet. Though the words limit is 2000 words but it should not limit the EXPERT to cover all details of every part of the question. References may be in Harvard Style. Timely delivery is crucial.

Write a Review

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd