Course specification for MAT3201

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MAT3201 Operations Research 2

Semester 1, 2020 Online
Short Description: Operations Research 2
Units : 1
Faculty or Section : Faculty of Health, Engineering and Sciences
School or Department : School of Sciences
Student contribution band : Band 2
ASCED code : 010101 - Mathematics
Grading basis : Graded

Staffing

Examiner:

Requisites

Pre-requisite: MAT1200 or MAT2200 or Students must be enrollled in one of the following Programs: MSCN or GDSI

Rationale

Decision making under conditions of uncertainty, or in competitive environments, or in situations in which variables of interest evolve through time is enhanced by the application of specialised operations research techniques. This course emphasises the applications of deterministic, probabilistic and simulation techniques to problems which arise in complex decision making. The course is of special interest to those concerned with management, organizational systems, production/manufacturing systems and communication networks.

Synopsis

This course requires students to be capable of applying managerial control techniques to the outputs of projects; to understand the implications of decision making under uncertainty; to formulate and solve dynamic programming models; to model and solve queueing and inventory problems. Concepts in simulation are developed through the design of probabilistic simulation models for inventory and queueing problems. The oncampus offering of this course is normally available only in odd years. The external offering of this course is available yearly.

Objectives

On successful completion of this course students will be able to:

  1. identify deterministic and probabilistic processes
  2. apply analytical and simulation techniques to a range of mathematical and real-world problems
  3. select and develop appropriate models for a range of problems
  4. interpret and communicate the results of analyses to expert and non-expert audiences
  5. develop an awareness of how analysis is used in a commercial environment.

Topics

Description Weighting(%)
1. Deterministic Inventory Models - deterministic and probabilistic processes - structure of inventory systems - formulations of inventory models - the basic Economic Order Quantity Model - effect on optimality of discounts - continuous-rate EOQ Models - EOQ models with back orders allowed 16.00
2. Probabilistic Inventory Models - single period decision models - discrete and continuous demand models - EOQ models with uncertain demand 16.00
3. Markov Processes - stochastic processes and definition of a Markov chain - systems defined as Markov processes - formulation of Markov process model - transition probabilities - steady state probabilities - absorbing chains - queueing problems as Markov processes 16.00
4. Queueing Theory - the structure of queueing systems - modelling arrival and service processes - probability distributions in queueing models - single server queueing models - multi server queueing models - finite queue length models - finite source models 16.00
5. Dynamic Programming - elements of the DP model - system states - recursion - applications 16.00
6. Fundamentals of Systems Simulation - functions and classification of simulation models - structure of system models, simulation model formulation, implementation and performance appraisal - generation of random variates - model formulation and execution of inventory problems - model formulation and execution of a probabilistic queueing problem - validation and sensitivity analysis 16.00
7. Implementation - roles of manager and OR specialists in decision making - factors affecting successful implementation of OR recommendations - phases of implementation and review 4.00

Text and materials required to be purchased or accessed

ALL textbooks and materials available to be purchased can be sourced from (unless otherwise stated). (https://omnia.usq.edu.au/textbooks/?year=2020&sem=01&subject1=MAT3201)

Please for alternative purchase options from USQ Bookshop. (https://omnia.usq.edu.au/info/contact/)

Introductory Book 2015, Course MAT3201 Operations Research 2, USQ Distance and e-Learning Centre, Toowoomba.
(Available on course ¾«¶«´«Ã½appDesk.)
¾«¶«´«Ã½app Book 2015, Course MAT3201 Operations Research 2, USQ Distance and e-Learning Centre, Toowoomba.
(Available on course ¾«¶«´«Ã½appDesk.)
Winston, W.L 2004, Operations Research: Applications and Algorithms, 4th edn, Duxbury Press, Belmont CA.
A scientific calculator.

Reference materials

Reference materials are materials that, if accessed by students, may improve their knowledge and understanding of the material in the course and enrich their learning experience.
Ecker, J. & Kupferschmid, M 1991, Introduction to Operations Research, Krieger, Malabar, FL.
Hillier, F & Lieberman, G 2015, Introduction to Operations Research, 10th edn, McGraw-Hill, New York.
Ravindran, A., Phillips, D. & Solberg, J 1987, Operations Research, Principles and Practice, 2nd edn, John Wiley, New York.
Taha, H.A 2016, Operations Research - an introduction, 10th edn, MacMillan, New York.

Student workload expectations

Activity Hours
Assessments 42.00
Online Lectures 26.00
Online Tutorials 13.00
Private ¾«¶«´«Ã½app 91.00

Assessment details

Description Marks out of Wtg (%) Due Date Notes
Assignment 1 100 15 26 Mar 2020
Assignment 2 100 15 07 May 2020
Assignment 3 100 15 04 Jun 2020
Take Home Exam 100 55 End S1 (see note 1)

Notes
  1. This will be an open examination. Students will be provided further instruction regarding the exam by their course examiner via ¾«¶«´«Ã½appDesk. The examination date will be available via UConnect when the official examination timetable has been released.

Important assessment information

  1. Attendance requirements:
    It is the students' responsibility to participate appropriately in all activities scheduled for them, and to study all material provided to them or required to be accessed by them to maximise their chance of meeting the objectives of the course and to be informed of course-related activities and administration.

  2. Requirements for students to complete each assessment item satisfactorily:
    Due to COVID-19 the requirements for S1 2020 are: To satisfactorily complete an individual assessment item a student must achieve at least 50% of the marks for that item.

    To complete each of the assessment items satisfactorily, students must obtain at least 50% of the marks available for each assessment item.

  3. Penalties for late submission of required work:
    Students should refer to the Assessment Procedure (point 4.2.4)

  4. Requirements for student to be awarded a passing grade in the course:
    Due to COVID-19 the requirements for S1 2020 are: To be assured of receiving a passing grade a student must achieve at least 50% of the total weighted marks available for the course.

    To be assured of receiving a passing grade a student must obtain at least 50% of the total weighted marks available for the course (i.e. the Primary Hurdle), and have satisfied the Secondary Hurdle (Supervised), i.e. the end of semester examination by achieving at least 40% of the weighted marks available for that assessment item.

    Supplementary assessment may be offered where a student has undertaken all of the required summative assessment items and has passed the Primary Hurdle but failed to satisfy the Secondary Hurdle (Supervised), or has satisfied the Secondary Hurdle (Supervised) but failed to achieve a passing Final Grade by 5% or less of the total weighted Marks.

    To be awarded a passing grade for a supplementary assessment item (if applicable), a student must achieve at least 50% of the available marks for the supplementary assessment item as per the Assessment Procedure (point 4.4.2).

  5. Method used to combine assessment results to attain final grade:
    The final grades for students will be assigned on the basis of the weighted aggregate of the marks obtained for each of the summative assessment items in the course.

  6. Examination information:
    Due to COVID-19 the requirements for S1 2020 are: An Open Examination is one in which candidates may have access to any printed or written material and a calculator during the examination

    The only materials that candidates may use in the restricted examination for this course are: writing materials (non-electronic and free from material which could give the student an unfair advantage in the examination); scientific calculators (non-graphical and non-programmable: students must indicate on their examination paper the make and model of any calculator(s) they use during the examination); one A4 sheet of paper, written or typed on one or both sides with any material the student wishes to include (students are required to submit this sheet of paper with the examination paper, but it will not contribute to marks for the course). Students whose first language is not English, may take an appropriate unmarked non-electronic translation dictionary (but not technical dictionary) into the examination. Dictionaries with any handwritten notes will not be permitted. Translation dictionaries will be subject to perusal and may be removed from the candidate's possession until appropriate disciplinary action is completed if found to contain material that could give the candidate an unfair advantage.

  7. Examination period when Deferred/Supplementary examinations will be held:
    Due to COVID-19 the requirements for S1 2020 are: The details regarding deferred/supplementary examinations will be communicated at a later date

    Any Deferred or Supplementary examinations for this course will be held during the next examination period.

  8. ¾«¶«´«Ã½app Student Policies:
    Students should read the USQ policies: Definitions, Assessment and Student Academic Misconduct to avoid actions which might contravene ¾«¶«´«Ã½app policies and practices. These policies can be found at .

Assessment notes

  1. Exam paper presentation: All exam papers should be presented in accurate and clear writing by blue or black pen. Pencil writing is not acceptable. Assignments can be presented using any word processor such as Word or Latex, or can be neatly written by blue or black pen (but not by pencil).

Other requirements

  1. Computer, e-mail and Internet access:
    Students are required to have access to a personal computer, e-mail capabilities and Internet access to UConnect. Current details of computer requirements can be found at .

  2. Students can expect that questions in assessment items in this course may draw upon knowledge and skills that they can reasonably be expected to have acquired before enrolling in this course. This includes knowledge contained in pre-requisite courses and appropriate communication, information literacy, analytical, critical thinking, problem solving or numeracy skills. Students who do not possess such knowledge and skills should not expect the same grades as those students who do possess them.

Date printed 19 June 2020